Calculus Average Everything, P,V, &A, Diffeq

• A
• B
• D
• E

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Find the differential for the function y = cos(x)

• dy = -sin(x) dx
• dx = -sin(x) dy
• dy = cos (x) dx
• dx = cos(x) dy

Find the antiderivative of
4x-7

• 4
• 2x²-7x+C
• x²-7x
• 8x²

• A

• B

• D

• E

Which of the following equations solves dy/dt = ky?

• y = y₀e^kt

• y = mx + b

• y = a(x - h)² + k

• y = Asin[B(x - C)] + D

Find a solution for y if dy/dx = 2x√y and y = 4 when x = 3.

• 2√y = x² + C

• y = (x² + 25)²/4

• y = x⁴/4

• y = ¼(x² - 5)²

The number of bacteria increases at a rate proportional to the present amount. After 5 hours, there were 80 bacteria and after 8 hours, there were 120 bacteria. How many bacteria were present initially?

• 1

• About 16

• About 40

• About 53

dy/dx = 4x/y. Suppose y(0)=1

The particular solution is

• B

• C

• D

• E

What is the average rate of change of the function below over the indicated interval?
f(x) = x² - 3x - 28,  [-4,7]

• 0
• 11
• 6
• 66

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4