Establish the identity.tan
= 
What will be an ideal response?
tan 
= 
= 
.
Mathematics
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Solve the problem.A water tank is formed by revolving the curve y = 3x4 about the y-axis. Find the volume of water in the tank as a function of the water depth, y.
A. V(y) = 
y1/2
B. V(y) = 
y3/2
C. V(y) = 
y3/2
D. V(y) = 
y9
Mathematics
Evaluate the integral.
A. 
ln
- 
ln 
+ C
B. ln
- ln 
+ C
C. 
ln
+ 
ln
+ C
D. 
ln
- 
ln
+ C
Mathematics
Rewrite the expression with a rational exponent.(
)6
A. 
B. (8x2y)5/6
C. 
D. (8x2y)6/5
Mathematics
Simplify the expression by combining like terms if possible.-2b + 7b
A. 5b2 B. 5b C. 5 + b D. -5b
Mathematics