Find f
1)f”(x)=-2+12x-12x(Square), f’(0)=12
F(x)=?
2)Find a function f such that f’(x)=5x cube and the line
5x+y=0 is the tangent to the graph of f
F(x)=?
3)A particle is moving with the given data. Find the position
of the particle
a(t)=11sin(t)+4cos(t), s(0)=0, s(2pi)=16
s(t)=?
(please i need help)
1. For the function f(x)=x2−36 evaluate f(x+h).
f(x+h)=
2. Let f(x)=3x+4,g(x)=9x+12, and h(x)= 9x^2+ 24x+16. evaluate
the following:
a. (fg)(3)=
b. (f/g) (2)=
c. (f/g) (0)=
d.(fh)(-1)=
3. Let f(x)=2x-1, g(x)=x-3, and h(x) =2x^2-7x+3. write a formula
for each of the following functions and then simplify
a. (fh) (x)=
b. (h/f) (x)=
c. (h/g) (x)=
4.Let f(x)=5−x and g(x)=x^3+3 find:
a. (f∘g)(0)=
b.(g∘f)(0)=
c. (f∘g)(x)=
d. (g∘f)(x)=
5. Let f(x)=x^2+5x and g(x)=4x+5 find:
a. (f∘g)(x)=
b. (g∘f)(x)=
c. (f∘g)(0)=
d....
f(x)=x^4-24x^2
Determine the intervals of increase and decrease for f (x)
Use the First Derivative Test to find all local maxima and minima
for f (x) .
Determine the intervals where f (x) is concave up and concave
down
Find any inflection points of f (x) .
Please show the work
f(x,y) = 2/7(2x + 5y) for 0 < x < 1, 0 < y < 1
given X is the number of students who get an A on test 1
given Y is the number of students who get an A on test 2
find the probability that more then 90% students got an A test 2
given that 85 % got an A on test 1
f(x)=0 if x≤0, f(x)=x^a if x>0
For what a is f continuous at x = 0
For what a is f differentiable at x = 0
For what a is f twice differentiable at x = 0
The random variable X has a continuous distribution with density
f, where f(x) ={x/2−5i f10≤x≤12 ,0 otherwise.
(a) Determine the cumulative distribution function of X.(1p)
(b) Calculate the mean of X.(1p)
(c) Calculate the mode of X(point where density attains its
maximum)
(d) Calculate the median of X, i.e. a number m such that P(X≤m)
= 1/2
(e) Calculate the mean of the random variable Y= 12−X
(f) Calculate P(X^2<121)