Question

2) Find the function f if a) f '' (x) = 6 x + 12 x...

2) Find the function f if

a) f '' (x) = 6 x + 12 x 2

b) f ''' (t) = et

c) f ' (x) = 8 x 3 + 12 x + 3 , f(1) = 10

d) f'' (x) = 2 - 12 x , f(0) = 9 , f(2) = 15

e) f '' (t) = 2 et + 3 sin t , f(0) = 0 , f(π) = 0

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.Find ff if f′′(x)=2+cos(x),f(0)=−7,f(π/2)=7.f″(x)=2+cos⁡(x),f(0)=−7,f(π/2)=7. f(x)= 2.Find f if f′(x)=2cos(x)+sec2(x),−π/2<x<π/2,f′(x)=2cos⁡(x)+sec2⁡(x),−π/2<x<π/2, and f(π/3)=2.f(π/3)=2. f(x)= 3. Find ff if...
1.Find ff if f′′(x)=2+cos(x),f(0)=−7,f(π/2)=7.f″(x)=2+cos⁡(x),f(0)=−7,f(π/2)=7. f(x)= 2.Find f if f′(x)=2cos(x)+sec2(x),−π/2<x<π/2,f′(x)=2cos⁡(x)+sec2⁡(x),−π/2<x<π/2, and f(π/3)=2.f(π/3)=2. f(x)= 3. Find ff if f′′(t)=2et+3sin(t),f(0)=−8,f(π)=−9. f(t)= 4. Find the most general antiderivative of f(x)=6ex+9sec2(x),f(x)=6ex+9sec2⁡(x), where −π2<x<π2. f(x)= 5. Find the antiderivative FF of f(x)=4−3(1+x2)−1f(x)=4−3(1+x2)−1 that satisfies F(1)=8. f(x)= 6. Find ff if f′(x)=4/sqrt(1−x2)  and f(1/2)=−9.
. Find a cubic function f(x) with roots x = 4, x = 1, x =...
. Find a cubic function f(x) with roots x = 4, x = 1, x = −2 and f(1) = 16. 3. Sketch the graph of f(x) = (x − 2)/x^2−3x−4 showing zeros, intercepts, and asymptotes. 4. Assume that world population(in billions of people) in t years since 2016 is given by y = 7.7e^0.01t . When will the population reach 9 billion? 5. Solve for x: log3 (x + 2) + log3 (x − 4) = 3. 6. Show...
Let F ( x , y ) = 〈 e^x + y^2 − 3 , −...
Let F ( x , y ) = 〈 e^x + y^2 − 3 , − e ^(− y) + 2 x y + 4 y 〉. a) Determine if F ( x , y ) is a conservative vector field and, if so, find a potential function for it. b) Calculate ∫ C F ⋅ d r where C is the curve parameterized by r ( t ) = 〈 2 t , 4 t + sin ⁡ π...
Consider the function F(x, y, z) =x2/2− y3/3 + z6/6 − 1. (a) Find the gradient...
Consider the function F(x, y, z) =x2/2− y3/3 + z6/6 − 1. (a) Find the gradient vector ∇F. (b) Find a scalar equation and a vector parametric form for the tangent plane to the surface F(x, y, z) = 0 at the point (1, −1, 1). (c) Let x = s + t, y = st and z = et^2 . Use the multivariable chain rule to find ∂F/∂s . Write your answer in terms of s and t.
1. If f(x) = ∫10/x t^3 dt then: f′(x)= ? and f′(6)= ? 2. If f(x)=∫x^2/1...
1. If f(x) = ∫10/x t^3 dt then: f′(x)= ? and f′(6)= ? 2. If f(x)=∫x^2/1 t^3dt t then f′(x)= ? 3. If f(x)=∫x3/−4 sqrt(t^2+2)dt then f′(x)= ? 4. Use part I of the Fundamental Theorem of Calculus to find the derivative of h(x)=∫sin(x)/−2 (cos(t^3)+t)dt. what is h′(x)= ? 5. Find the derivative of the following function: F(x)=∫1/sqrt(x) s^2/ (1+ 5s^4) ds using the appropriate form of the Fundamental Theorem of Calculus. F′(x)= ? 6. Find the definitive integral: ∫8/5...
13. Consider f(x)=sqrt x-2 a) Using any of the three limit formulas to find f ′...
13. Consider f(x)=sqrt x-2 a) Using any of the three limit formulas to find f ′ ( a ), what is the slope of the tangent line to f ( x )at x = 18? (6 points execution, 2 points notation) b) Find the equation of the tangent line at x = 18 14. State the derivative. a) d/ d x [ x ^n ] b) d /d x [ cos ⁡ x ] c) d /d x [ csc...
Consider the function f(x, y) = sin(2x − 2y) (a) Solve and find the gradient of...
Consider the function f(x, y) = sin(2x − 2y) (a) Solve and find the gradient of the function. (b) Find the directional derivative of the function at the point P(π/2,π/6) in the direction of the vector v = <sqrt(3), −1>   (c) Compute the unit vector in the direction of the steepest ascent at A (π/2,π/2)
1. Find the area between the curve f(x)=sin^3(x)cos^2(x) and y=0 from 0 ≤ x ≤ π...
1. Find the area between the curve f(x)=sin^3(x)cos^2(x) and y=0 from 0 ≤ x ≤ π 2. Find the surface area of the function f(x)=x^3/6 + 1/2x from 1≤ x ≤ 2 when rotated about the x-axis.
Q 1) Consider the following functions. f(x) = 2/x,  g(x) = 3x + 12 Find (f ∘...
Q 1) Consider the following functions. f(x) = 2/x,  g(x) = 3x + 12 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x).  (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x).  (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notation.) Q...
1. a True or False? If ∫ [ f ( x ) ⋅ g ( x...
1. a True or False? If ∫ [ f ( x ) ⋅ g ( x ) ] d x = [ ∫ f ( x ) d x ] ⋅ [ ∫ g ( x ) d x ]. Justify your answer. B. Find ∫ 0 π 4 sec 2 ⁡ θ tan 2 ⁡ θ + 1 d θ C. Show that ∫ 0 π 2 sin 2 ⁡ x d x = ∫ 0 π 2 cos...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT