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f(x) = 3x^2+2x-1

Consider the differential equation
dy/dt = y−y2.
Given that y(0)=0.5, solve the differential equatio...

Which of the following is the power series representation for g(x)?
+8
OA.
B.
k 8
1
k 0
k 0
8k
O C.
...

13.
The cost of producing x ounces of gold from a new gold mine is C= f(x) dollars.
(a) What is the ...

Let h(r) =log2 (x - 3) + 1.
a. Find the domain of h(x).
b. Find the a-intercept of the graph of h(x)...

Hello, 
I am having trouble in finding the difference between these equations to find the solutions....

Calculate the directional derivative in the direction of v at the given point.
fx, v)- tan Cy). -(1,...

Is y=e6x −3x−2 a solution to the differential equation shown below?
y′−6y=7x+3

could you help me with this problem please

During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

how to find 
Find the area of the region enclosed by one loop of the curve.

r = sin(4θ)

What is the solution to the initial value problem below?
y′=5ex +8x3 +x2 +4x
y(0)=3
Do not include "...

a. Find all points on the graph of f at which the tangent line is horizontal.
b. Find all points on ...

Evaluate the following integrals
(a) x^5dx
(b)(5^2+x^10)dx
(c) (12x^5+12x^3-7)dx
(d) (x^3-7-(3/x^4))...

The area of a circle increases at a rate of 3 cm^2 per second.
Find
a) how fast is the radius changi...

Given f(x) = x^5 + x^3 - 4 , find the derivative of f inverse at the point (-2,1).

y′=−3x+9
Determine the particular solution to the differential equation that passes through the poin...

How can I get the result?
Which is the result?

The number of miligrams x of a medication in the bloodstream t hours after a dose is taken can be mo...

A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The ...

If y (x25x-1)e2x then y
(3x2-10x+7)e2x
O (2.7x+4)e2x
O(22+ 12x + 3)e2x
(2x+5)32x
(2x 52-1

find the inverse of  y from the function that is in the picture below

Use spherical coordinates to find the volume of the region outside the cone phi= pi/4 and outside th...

Please help me with this differential equation and identify P(x), Q(x) and v(x).

The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in ...

A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = -2 sin (pi...

Show that
f(x, y) = ln(x2 + y2)
solves Laplace's equation,




∂2z


∂x2



 + 



∂2z


∂y2



 = 0...

How do I solve the initial value problem using P(x), Q(x) and v(x)?

If a cup of coffee has temperature 95°C in a room where the temperature is 20°C, then, according
to ...

find the derivative of the question in the picture please show all work

During the first four months of employment, the monthly sales S (in thousands of dollars) for a new ...

Find the area of the region inside of r = 1-sin(theta) and outside of r = 1
show all work

Determine whether the following series converges. Justify your answer
9(4k)!
Σ
k=1 (kl)*
Select the ...

Write the integral for the average value of f(x,y,z)=xyz over the region bounded by the paraboloid z...

Find the intervals on which f is increasing and the intervals on which it is decreasing
 
f(x) = -2 ...

Let R be the region bounded by the following
curves. Find the volume of the solid generated when R i...

The region is formed by the graphs of y 4x and y 12-x. Find the volume of the solid obtained by revo...

If y' 6x - 3 and y(2)
6
4, then y
3x2- 3x
3x2-3x-2
3x2-3x2
6x2-3x2

Find the relative maxima, relative minima, horizontal points of inflection, and sketch the graph for...

a. find a possible function f and number a
b. evaluate the limit by computing f`(a).

A three times differentiable function fwith f'(x) 0 has a D-derivative at x given
2
f'"(x) 3(f"(x)
D...

Find the area of the region described.
18
The region bounded by y
and y1
2
9+x
The area of the regio...

b) and c) I tried doing it the same way I did the first one...

If p 8m2-9m + 3, then the rate of change of p with respect to m when m 1 is
16.
1
-9,
7.
2.

We need to factorize the qudratic equation : f(x) = 3x2&nbsp;+ 2x - 1. We will solve this by 'splitting the middle term' method.

The coefficient of x2 is 3, the coefficient of x is 2 and the constant term is -1.&nbsp;Now, we have to split the coefficient of x in such a way, that the product of the splitted terms is equal to the product of coefficient of x2 and the constant term. The calculation is shown below:

f(x) = 3x^2+2x-1

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