HC Module #7

Find the area of the region enclosed by the line and curve y = x + 1 and  $y=3-x^2$  

•  $\frac{9}{2}$  

•  $\frac{13}{2}$  

•  $\frac{5}{3}$  

•  $\frac{15}{4}$  

What is the limit?

• Infinity
• 20
• DNE
• 12

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

• cosx
• -cosx
• -sinx cosx
• sinx cosx

Find the limit of the function as x approaches 2.

• 1
• -1
• 5
• DNE

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the RADIUS of the region that is bounded by  $y=4-x^2$  , y=0, x=0 , in Quadrant I and rotated about the x-axis. 

•  $4-x^2$  

•  $\left(4-x^2\right)^2$  

• 4

• x

Find the "a" and "b" of the region that is bounded by  $y=4-x^2$  , y=0, x=0 , in Quadrant I and rotated about the x-axis. (left and right bounds)

• a=0, b=0

• a=-2, b=0

• a=0, b=2

• a=-2, b=2

Determine the integral that represents the volume of the region that is bounded by  $y=4-x^2$  , y=0, x=0 , in Quadrant I and rotated about the x-axis. 

•  $\pi\int_0^2\left(4-x^2\right)dx$  

•  $\pi\int_0^{100}\left(4-x^2\right)^2dx$  

•  $\int_0^2\left(4-x^2\right)^2dx$  

•  $\pi\int_0^2\left(4-x^2\right)^2dx$