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(Calc) Rules Review Flashcards | StudBud

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The integral of √x is

In solving the differential equation dy/dt = -(y - 27)2/3 we obtain the intermediate step

(Calc) Rules Review

11 terms·StudBud Administration·4 plays

Mixed derivatives, integrals, pre-calculus.

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Questions 11

Answers

1
In solving the differential equation dy/dt = -(y - 27)^2/3 we obtain the intermediate step
3(y - 27)1/3 = -t + C
2/3*(y - 27)-1/3 = -t + C
(y - 27)-1/3 = -t + C
1/3*(y - 27)1/3 = -t + C
2
The integral of √x is
1/2*x-1/2
3/2*x3/2
1/2*x1/2
2/3*x3/2
3
As a -> 0⁺, what is the limit of ln a ?
undefined
∞
-∞
o
4
Which of the following is true?
(fg)' = f'g + gf'
(fg)' = f'g'
none of the above
(f/g)' = gf' - fg' / g2
5
The antiderivative of 1/x is
undefined
x2
ln x
-1/x2
6
The integral of (2x+2)e^(x²+2x+3) is
e^(x2+2x+3)
None of the above
ex+2x+3
e^(2x+2)
7
The derivative of e^2x is
2e2x
e2x
2xe2x-1
0.5e2x
8
Compute ln 1
1/e
0
e
1
9
cos π/3 =
0
√3/2
1
1/2
10
sin π/4 =
1/√2
undefined
1/2
√3/2
11
Given xy = x + y, find dy/dx
y' = (1 + y)/(x - 1)
y' = (y - 1)/(x - 1)
y' = 1 + y'
y' = (1 - y)/(x - 1)