Question

f(x) = −x^2 + 5x and g(x) = 3x − 3 Find the area of the region completely enclosed by the graphs of the given functions f and g.

Answer #1

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Sketch the graphs of the functions.
f(x) = 3x
and g(x) = x squareoot
x+1
Find the area of the region completely enclosed by the graphs of
the given functions f and g.

Find the area completely enclosed by the graphs of f(x) = x^2 -
1 and g(x) = 1 - x^2

find the area of the region bounded by the graph of
y=x^3-2x^2-x+2 and y=3x^2-5x+2

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

Sketch and find area enclosed by functions f and g F(x)=2x
G(x)=x(sqrt(x+1))

Find the average rate of change for the following function.
f(x)=5x^3-3x^2+7 between x=-3 and x=2
The average rate of change for f(x) over the interval -3 to 2 is
___ (Type an integer or a simplified fraction.)

1. Given f(x)=2x^3-3x^2+4x+2, find (f^(-1))'(14).
Differentiate and Simplify
2. f(x)=ln(3x) e^(-x^2 ) (Answer with positive exponents
Integrate and Simplify 3. ∫▒(6x^2-5x)/√x dx

Find the equation of the osculating circle at the local minimum
of f(x)=3x^3−5x^2+(0/1)x+5

1-Find the area of the region between the graphs of f and g,
where f(x) = x^2-x-1 and g(x) = 5-X^2.
2-Arc Length. Find the length of the graph of f(x) = x^4 +
1/(32x^2) over the interval [1,2].

Find the area of the region bounded by the graphs of the given
equations.
y=2x^2-9x+13, y=x^2+3x-7

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