Stewart_Calc_7ET ch03sec11
MULTIPLE CHOICE
1. Find the value of the expression accurate to four decimal places.
sinh 4
a.
55.5798
c.
27.2899
b.
15.145
d.
29.3082
2. Find the derivative of the function.
= sinh 4x
a.
–4 cosh 4x
c.
–sinh 4x
b.
4 sinh 4x
d.
4 cosh 4x
3. Find the derivative of the function.
= cosh2 (6t2 + 3)
a.
24t sinh (6t2 + 3)
c.
12t sinh (6t2 + 3)
b.
24t cosh (6t2 + 3) sinh (6t2 + 3)
d.
12t cosh (6t2 + 3) sinh (6t2 + 3)
4. Find the derivative of the function.
y =
a.
c.
b.
d.
5. Find the given integral.
a.
–sinh (9x + 5)+ C
c.
sinh (9x + 5)+ C
b.
9sinh (9x + 5) + C
d.
sinh (9x + 5) + C
6. A telephone line hangs between two poles at 12 m apart in the shape of the catenary
,
where x and y are measured in meters. Find the slope of this curve where it meets the right
pole.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Find the derivative of .
2. Evaluate
SHORT ANSWER
1. Find the derivative of the function.
= sinh –1 6x