Question

1.) (1 point) Find the particular antiderivative that satisfies the following conditions:

dy/dx=7−4x; y(0)=2

y=

2.) (1 point) Find the particular antiderivative that satisfies the following conditions:

p′(x)=−50/x^2; p(3)=7

p(x)=

3.) (1 point) Find the particular antiderivative that satisfies the following conditions:

dx/dt= (5sqrt(t^3)-6t)/sqrt(t^3); x(9)=7

x=

4.) (1 point) Given

f′′(x)=3x−2

and f′(−2)=2  and f(−2)=4.

Find f′(x)=
and find f(3)=

5.) (1 point) Consider the function f(x)=10x10+10x7−5x4−2.
An antiderivative of f(x) is F(x)=Ax^n+Bx^m+Cx^p+Dx^q where
A is  and n is
and B is: and m is:
and C is: and p is:
and D is: and q is:

6.) (1 point)

Find the derivative of f(x)=sqrt(x^2+1+C) to complete the following integration formula:

∫: _______________________ dx=sqrt(x^2+1+C)

Answer 1