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...

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)

Expert Solution

milcah answered 1 year ago

f ''(x) = −2 + 24x − 12x^2, f(0) = 7, f '(0) = 12

Find f. f ''(x) = 4 − 12x, f(0) = 6, f(2) = 10

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval...

1. Find the critical numbers of the function f (x) = x^3− 12x in the interval [0, 3]. Then find the absolute maximum and the absolute minimum of f(x) on the interval [0,3]. 2. Using only the limit definition of derivative, find the derivative of f(x) = x^2− 6x (do not use the formulas of derivatives).

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the...

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the parabola y=2x^2−5x+3 at the point (−4,55). The equation of this tangent line can be written in the form y=mx+b where m is: ???? and where b is: ????

Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?....

Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?. show work

Find f. f ''(x) = x−2, x > 0, f(1) = 0, f(4) = 0 f(x)=

find the line tangent to graph of f(x) at x=0 1) f(x)=sin(x^2+x) 2)f(x)=e^2x+x+1

Let f(x, y) be a function such that f(0, 0) = 1, f(0, 1) = 2,...

Let f(x, y) be a function such that f(0, 0) = 1, f(0, 1) = 2, f(1, 0) = 3, f(1, 1) = 5, f(2, 0) = 5, f(2, 1) = 10. Determine the Lagrange interpolation F(x, y) that interpolates the above data. Use Lagrangian bi-variate interpolation to solve this and also show the working steps.

Find f(x) for the following function. Then find f(6), f(0), and f(-7). f(x)=-2x^2+1x f(x)= f(6)= f(0)=...

Find f(x) for the following function. Then find f(6), f(0), and f(-7). f(x)=-2x^2+1x f(x)= f(6)= f(0)= f(-7)=

Find the interval(s) where the function f (x) = 1 x2 − 5x is increase or...

Find the interval(s) where the function f (x) = 1 x2 − 5x is increase or decreasing. Include a sign 10 chart and test values.

Question