Question

Find *f* by solving the initial-value problem.

(a.) f '(x) = 9x^{2} + 2x − 7; f(2) = 6

(b.)
*f** '*(

Answer #1

if satisfied with the explanation, please rate it up..

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....

Consider the function f(x) = x^3 − 2x^2 − 4x + 7 on the interval
[−1, 3]. a) Evaluate the function at the critical values. (smaller
x-value) b) Find the absolute maxima for f(x) on the interval [−1,
3].

Use Laplace Transform to solve the initial value
problem
x''+2x'+2x=e-t x(0)=x'(0)=0.

The solution to the Initial value problem
x′′+2x′+2x=2cos(7t),x(0)=0,x′(0)=0 is the sum of the steady
periodic solution xsp and the transient solution xtr. Find both xsp
and xtr.
xsp=
xtr=

Solve the initial value problem.
f '(x) = cos(x) + sec2(x), f (PI/4)=7+((sqrt2)/2)
f(x) = _______

Transform the given system into a single equation of
second-order x′1 =−8x1+9x2 x′2 =−9x1−8x2. Then find x1 and x2 that
also satisfy the initial conditions x1(0) =7 x2(0) =3. Enter the
exact answers. Enclose arguments of functions in parentheses. For
example, sin(2x).

find f"(x) for f(x) = 1 -2x / 4x+5

Consider the initial value problem
dy dx
=
1−2x 2y
, y(0) = − √2
(a) (6 points) Find the explicit solution to the initial value
problem.
(b) (3 points) Determine the interval in which the solution is
deﬁned.

Initial value problem : Differential equations:
dx/dt = x + 2y
dy/dt = 2x + y
Initial conditions:
x(0) = 0
y(0) = 2
a) Find the solution to this initial value problem
(yes, I know, the text says that the solutions are
x(t)= e^3t - e^-t and y(x) = e^3t + e^-t
and but I want you to derive these solutions yourself using one
of the methods we studied in chapter 4) Work this part out on paper
to...

Find the root of the function: f(x)=2x+sin(x)-e^x,
using Newton Method and initial value of 0. Calculate the
approximate error in each step. Use maximum 4 steps (in case you do
not observe a convergence).

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 23 minutes ago

asked 25 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago