Archives
Chapter 1 Find the inverse of Then sketch the graphs of f and
Stewart – Calculus 8e ET Chapter 1 Form E 19. How would you define in order to make f continuous at ? ____ 20. Use the graph to determine where the function is discontinuous. Select the correct […]
Chapter 1 Julia found that in October it cost her to drive
Stewart – Calculus 8e ET Chapter 1 Form C ____ 18. If and , find a function g such that . a. b. c. d. e. © 2016 Cengage Learning. All Rights Reserved. May not be scanned, […]
Chapter 1 The relationship between the Fahrenheit and Celsius temperature
Stewart – Calculus 8e ET Chapter 1 Form A 1. If , find . 2. Solve each equation for x. (a) (b) 3. Simplify the expression. 4. Fill in the blanks. Let , where . __________ __________ […]
Chapter 1 Use the laws of logarithms to expand the expression
Stewart – Calculus 8e ET Chapter 1 Form G ____ 19. Suppose that the graph of is given f is given. Describe how the graph of the function can be obtained from the graph of f. Select […]
Chapter 10 Eliminate the parameter to find a Cartesian equation
Stewart – Calculus ET 8e Chapter 10 Form A 1. If a and b are fixed numbers, find parametric equations for the set of all points P determined as shown in the figure, using the angle ang […]
Chapter 10 If a projectile is fired with an initial velocity of meters
Stewart – Calculus ET 8e Chapter 10 Form E Answer Key © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. […]
Chapter 10 Two radio stations located at A and B transmit simultaneous
Stewart – Calculus ET 8e Chapter 10 Form C ____ 19. A cross-section of a parabolic reflector is shown in the figure. The bulb is located at the focus and the opening at the focus is 18 […]
Chapter 11 Find the radius of convergence and the interval of convergence
Stewart – Calculus ET 8e Chapter 11 Form D ____ 16. Find the radius of convergence and the interval of convergence of the power series. a. b. c. d. ____ 17. Find the Maclaurin series for f (x) […]
Chapter 11 How many terms of the series would you need to add to find
Stewart – Calculus ET 8e Chapter 11 Form A 1. Find a formula for the general term of the sequence, assuming that the pattern of the first few terms continues. 2. Find the partial sum of the series […]
Chapter 11 Use series to evaluate the limit correct to three decimal places
17. Use series to evaluate the limit correct to three decimal places. Select the correct answer. 18. Given the series estimate the error in using the partial sum by comparison with the series . ____ 19. For which positive […]
Chapter 12 Let and let u be a vector with length that starts at the
Stewart – Calculus ET 8e Chapter 12 Form D ____ 20. Reduce the equation to one of the standard forms. a. b. c. d. e. © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied […]
Chapter 12 Which of the given lines is parallel to the line
Stewart – Calculus ET 8e Chapter 12 Form A 1. a. Find an equation of the sphere that passes through the point and has center . b. Find the curve in which this sphere intersects the […]
Chapter 13 A ball is thrown at an angle of to the ground
Stewart – Calculus ET 8e Chapter 13 Form D Select the correct answer for each question. ____ 1. Find the limit . a. b. c. d. ____ 2. Find a vector function that represents the curve of intersection […]
Chapter 13 Find parametric equations for the tangent line to the curve
Stewart – Calculus ET 8e Chapter 13 Form F 8. Reparametrize the curve with respect to arc length measured from the point where in the direction of increasing . 9. For the curve given by , find […]
Chapter 13 Sketch the curve of the vector function, and indicate the orientation
Stewart – Calculus ET 8e Chapter 13 Form A 1. Find the following limit. 2. Find the point of intersection of the tangent lines to the curve , at the points where and . 3. Find an expression […]
Chapter 14 A family of parallel planes with normal vector
Stewart – Calculus ET 8e Chapter 14 Form A 1. Find all the second partial derivatives. 2. Find the first partial derivatives of the function. 3. Find the differential of the function. 4. If and changes from (2, […]
Chapter 14 At what point is the following function a local maximum
Stewart – Calculus ET 8e Chapter 14 Form F ____ 13. Suppose that over a certain region of space the electrical potential V is given by . Find the rate of change of the potential at in the […]
Chapter 14 Find equations for the tangent plane and the normal line
Stewart – Calculus ET 8e Chapter 14 Form D ____ 8. If R is the total resistance of three resistors, connected in parallel, with resistances , then . If the resistances are measured in ohms as , with […]
Chapter 15 Evaluate the integral where and with respect to x
Stewart – Calculus ET 8e Chapter 15 Form D ____ 5. Use polar coordinates to find the volume of the solid bounded by the paraboloid and the plane . a. b. c. d. e. ____ 6. Use […]
Chapter 15 Region inside the circle of radius feet centered at the sprinkler
Stewart – Calculus ET 8e Chapter 15 Form A 1. Calculate the iterated integral. 2. Evaluate where is the figure bounded by and . 3. Evaluate the integral by changing to polar coordinates. is the region bounded by […]
Chapter 15 Use polar coordinates to find the volume of the sphere
Stewart – Calculus ET 8e Chapter 15 Form F ____ 12. Use a triple integral to find the volume of the solid bounded by and the planes and . Select the correct answer. a. b. c. d. e. […]
Chapter 16 A thin wire is bent into the shape of a semicircle
Stewart – Calculus ET 8e Chapter 16 Form D ____ 9. Use Green’s Theorem to evaluate the line integral along the positively oriented closed curve C. , where C is the triangle with vertices , , and […]
Chapter 16 Taking the patches to be the squares that are the faces of the
Stewart – Calculus ET 8e Chapter 16 Form F ____ 15. Evaluate the surface integral where S is the surface with parametric equations , . Select the correct answer. a. b. c. d. e. 16. Use Stokes’ […]
Chapter 16 Use Stoke’s theorem to evaluate C is the curve of intersection
Stewart – Calculus ET 8e Chapter 16 Form A 1. Find the work done by the force field in moving an object along an arch of the cycloid 2. Find the exact value of where C is […]
Chapter 17 A spring with a mass of 2 kg has damping constant
Stewart – Calculus ET 8e Chapter 17 Form A 1. Solve the initial-value problem. 2. Solve the boundary-value problem, if possible. 3. Solve the differential equation. 4. Solve the initial-value problem. 5. Solve the differential equation. 6. […]
Chapter 17 A spring with a mass of kg has damping constant 28 and spring
Stewart – Calculus ET 8e Chapter 17 Form E ____ 18. Use power series to solve the differential equation. Select the correct answer. a. b. c. d. e. 19. Use power series to solve the differential equation. 20. […]
Chapter 17 The solution of the initial-value problem is called a Bessel
Stewart – Calculus ET 8e Chapter 17 Form C ____ 20. The solution of the initial-value problem is called a Bessel function of order 0. Solve the initial – value problem to find a power series expansion […]
Chapter 17 Use power series to solve the differential equation
Stewart – Calculus ET 8e Chapter 17 Form G ____ 14. A spring has a mass of kg and its damping constant is . The spring starts from its equilibrium position with a velocity of m/s. Graph […]
Chapter 2 A skydiver leaps from a helicopter hovering high above the ground
Stewart – Calculus 8e ET Chapter 2 Form F ____ 5. If for all x, find . Select the correct answer. a. b. c. d. e. does not exist 6. Find the limit , if it exists. […]
Chapter 2 Find the horizontal and vertical asymptotes of the graph
Stewart – Calculus 8e ET Chapter 2 Form C ____ 20. Use the graph of the function f to find the value(s) of x at which f is not differentiable. 12345–1–2–3–4–5 x 1 2 3 4 5 […]
Chapter 2 How close to 2 do we have to take x so that is within
Stewart – Calculus 8e ET Chapter 2 Form A 1. Find the limit. 2. Evaluate the limit. 3. Find the limit. 4. How close to do we have to take x so that 5. How close to 2 […]
Chapter 3 A batter hits the ball and runs toward first base with a speed
Stewart – Calculus 8e ET Chapter 3 Form A 1. Find the first and the second derivatives of the function. 2. Find an equation of the tangent line to the curve. 3. Find 4. Find all points at […]
Chapter 3 The mass of the part of a metal rod that lies between its
Stewart – Calculus 8e ET Chapter 3 Form D ____ 5. Find a. d. b. e. c. ____ 6. Find in terms of . a. b. c. d. e. ____ 7. If , find a. b. c. d. e. f. […]
Chapter 3 The quantity Q of charge in coulombs C that has passed through
Stewart – Calculus 8e ET Chapter 3 Form F ____ 13. Two sides of a triangle are m and m in length and the angle between them is increasing at a rate of rad/s. Find the rate at […]
Chapter 4 A manufacturer has been selling 1,200 television sets a week
Stewart – Calculus 8e ET Chapter 4 Form D ____ 3. Find the intervals where is increasing and where it is decreasing. a. increasing: , decreasing: b. increasing: , decreasing: c. increasing: , decreasing: d. increasing: , […]
Chapter 4 An apple orchard has an average yield of 32 bushels of apples
Stewart – Calculus 8e ET Chapter 4 Form F Answer Key © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. […]
Chapter 4 What is the length of the shortest ladder that will reach from
Stewart – Calculus 8e ET Chapter 4 Form A 1. Find the local and absolute extreme values of the function on the given interval. , 2. Find all the critical numbers of the function. 3. Find the maximum […]
Chapter 5 Estimate the area from 0 to 5 under the graph of using five
Stewart – Calculus 8e ET Chapter 5 Form C ____ 19. Find the integral using an appropriate trigonometric substitution. a. b. c. d. ____ 20. Find the integral using an appropriate trigonometric substitution. a. b. c. d. […]
Chapter 5 Show that by interpreting the definite integral geometrically
Stewart – Calculus 8e ET Chapter 5 Form A 1. The velocity graph of a braking car is shown. Use it to estimate to the nearest foot the distance traveled by the car while the brakes are […]
Chapter 5 The marginal cost of manufacturing x yards of a certain fabric
Stewart – Calculus 8e ET Chapter 5 Form E Answer Key © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. […]
Chapter 6 The base of a solid is a circular disk with radius
Stewart – Calculus 8e ET Chapter 6 Form G ____ 5. Sketch the region enclosed by . Find the area of the region. Select the correct answer. a. 32 3 b. c. d. 32 3 e. 6. Find […]
Chapter 6 The choices are rounded to the nearest hundredth
Stewart – Calculus 8e ET Chapter 6 Form E ____ 10. Find the volume of a pyramid with height and base an equilateral triangle with side a = . Select the correct answer. a. b. c. d. e. […]
Chapter 6 The region bounded by the given curves is rotated about the specified axis
Stewart – Calculus 8e ET Chapter 6 Form C ____ 12. Use the method of disks or washers, or the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by […]
Chapter 6 The velocity v of blood that flows in a blood vessel
Stewart – Calculus 8e ET Chapter 6 Form A 1. Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per […]
Chapter 7 A manufacturer of light bulbs wants to produce
Stewart – Calculus ET 8e Chapter 7 Form D ____ 4. Evaluate the integral. a. b. c. d. ____ 5. Find the integral. a. b. c. d. © 2016 Cengage Learning. All Rights Reserved. May not be scanned, […]
Chapter 7 Make a substitution to express the integrand as a rational
Stewart – Calculus ET 8e Chapter 7 Form A 1. Evaluate the integral. 2. Evaluate the integral. 3. Evaluate the following integral. 4. Evaluate the integral to six decimal places. 5. Evaluate the integral. 6. Make a substitution […]
Chapter 7 Use a table of integrals to evaluate the integral
Stewart – Calculus ET 8e Chapter 7 Form F 6. Evaluate the integral. 7. Evaluate the integral. 8. Find the average value of the function in the interval . ____ 9. Find the integral using an appropriate trigonometric […]
Chapter 8 A large tank is designed with ends in the shape of the region
Stewart – Calculus ET 8e Chapter 8 Form F 5. Find the area of the surface obtained by rotating the curve about the x-axis. 6. A vertical plate is submerged in water (the surface of the water coincides […]
Chapter 8 A movie theater has been charging $ .00 per person and selling
Stewart – Calculus ET 8e Chapter 8 Form A 1. Find the area of the surface obtained by rotating the curve about the -axis. 2. Find the coordinates of the centroid for the region bounded by the curves […]
Chapter 8 Set up, but do not evaluate, an integral for the area
Stewart – Calculus ET 8e Chapter 8 Form C Answer Key © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 1. […]
Chapter 9 A certain small country has $20 billion in paper currency
Stewart – Calculus ET 8e Chapter 9 Form A 1. is the solution of the differential equation . Find the solution that satisfies the initial condition . 2. A function satisfies the differential equation . What are the […]
Chapter 9 A curve passes through the point and has the property
Stewart – Calculus ET 8e Chapter 9 Form D ____ 4. Choose the differential equation corresponding to this direction field. a. b. c. d. e. ____ 5. Solve the differential equation. a. b. c. d. e. © 2016 […]
Chapter 9 Newton’s Law of Cooling states that the rate of cooling
Stewart – Calculus ET 8e Chapter 9 Form F 10. A sum of is invested at interest. If is the amount of the investment at time t for the case of continuous compounding, write a differential equation […]