Question

1. Consider the function f(x) whose second derivative is
f″(x)=10x+2sin(x). If f(0)=2 and f′(0)=3, what is f(x)?

Answer #1

Consider the function f(x) whose second derivative is
f''(x)=2x+5sin(x). If f(0)=3 and f'(0)=2, what is f(5)?

53) Consider the function f(x) whose second derivative is
f''(x)=7x+5sin(x). If f(0)=2 and f'(0)=4, what is f(3)f?

Consider the function f(x) whose second derivative is
f''(x)=2x+3sin(x). If f(0)=3 and f'(0)=4, what is f(5)

Consider the function f(x) whose second derivative is
f′′(x)=6x+10sin(x). If f(0)=2 and f′(0)=4, what is f(x)?

Consider the function f ( x ) f ( x ) whose second derivative
is f ‘ ‘ ( x ) = 10 x + 7 sin ( x ) f ′ ′ ( x ) = 10 x + 7 sin ( x
) . If f ( 0 ) = 4 f ( 0 ) = 4 and f ‘ ( 0 ) = 3 f ′ ( 0 ) = 3 ,
what is f ( 2...

1)Consider the function f(x)f(x) whose second derivative is
f″(x)=9x+8sin(x). If f(0)=4 and f′(0)=2, what is f(5)?
2) Consider the function f(x)=(7/x^3)−(2/x^5).
Let F(x) be the antiderivative of f(x) with F(1)=0.
3)Given that the graph of f(x) passes through the point (5,4)
and that the slope of its tangent line at (x,f(x)) is 3x+3, what
is f(2)?
Then F(2) equals

consider the function
f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and
f''(x)=-10x^2-9x+5/(x^2+1)^5/2
a) find the local maximum and minimum values. Justify your
answer using the first or second derivative test . round your
answers to the nearest tenth as needed.
b)find the intervals of concavity and any inflection points of
f. Round to the nearest tenth as needed.
c)graph f(x) and label each important part (domain, x- and y-
intercepts, VA/HA, CN, Increasing/decreasing, local min/max values,
intervals of concavity/ inflection points of f?

Let f(x)=3x2+10x+3.
a) Find the derivative of f(x) using the definition of the
derivative.
b) Find the equation of the tangent line at point x=−1

Let X be a random variable with probability density function
f(x) = {3/10x(3-x) if 0<=x<=2
.........{0 otherwise
a) Find the standard deviation of X to four decimal
places.
b) Find the mean of X to four decimal places.
c) Let y=x2 find the probability density function
fy of Y.

1.
What is the derivative of f(x) = cosx/sinx
2. What is the derivative of f(x) = cos^-1 (3x)
3. What is the second derivative of tanx/secx
4. True or False: If f'(x) = 2^x, then a possible equation for
f is f(x) = 2^x +3
5. True or False: The equation x^2 + y^2 = 100 is an implicit
curve

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