3. Find any maximum or minimum values of the function y(x)=1+x/e4x. Use a sign chart or a second derivative test to verify the answer(s) you get is a max or min.
A. Find the region bounded by the curves y = (x−3)^2 and y =
12−4x. Show all of your work.
B. Find the equation of the tangent line to the curve 5x^2 −6xy
+ 5y^2 = 4 at the point (1,1) Show all of your work. Thanks
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:...
given the curve x(t)=t^2+3 and y(t)=2t^3-3t^2 find the following:
a.) find the derivative of the curve at t=1
b.) dind the concavity of the curve
c.) graph the curve from t=0 to t=2
d.) find the area if the curve on the interval
0<=t<=2