11.1_12 Can you please help me with a step by step guide. Thank you very much! Find the revenue and demand functions for the given marginal revenue. (Use the fact that R = 0 when x = 0.) dR/dx = 370-8x revenue function R=? demand fucntion p=?

Q: Determine if y=e2x −x+1 is a solution to y′−2x=−3+2y.

A: The given differential equation is  y′−2x=−3+2y.The solution of the deferential equation is given as...

Q: The problem and graph are imbedded in the image.

A: Given information:An arch is 645cft high and has a 600ft base. It can be modeled by the parabola  

Q: approximate the area under the graph of f(x) and above the x-axis using the left, right, and midpoin...

A: f(x) = 3x + 2 from  x=1  to  x=3; n = 4dx = Width of each rectangle = (3 - 1) / n = 2 /4 = 0.50

Q: Use a reference triangle in an appropriate quadrant to find the given angle.

A: The given equation is,

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

A: We are given a function as 

Q: For the region bounded by y 3x, the x-axis, and x 1, determine which of the following is greater: th...

A: The curves are given by,

Q: If the formula describing the distance s(in feet) an object travels as a function of time(in seconds...

A: The distance s(in feet) an object travels as a function is s = 100 + 160 t -16t2.It is known that, t...

Q: y′−6x=5+2y y(0)=−3 Is y=e2x −3x−4 a solution to the initial value problem shown above?

A: The given differential equation is y′−6x=5+2y.The solution of the deferential equation is given as, ...

Q: :)

A: Given:The given curves are y = x2, x = 1, and y = 0.The volume of the solid revolved around the line...

Q: How can I do this? Which is the result?

A: Given:The function is 

Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: The power series is given as

Q: Help in #1 please.

A: Given information:The parametric equation is  

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that...

A: To find the number of units completed in t hours by the new employee, integrate the rate of performa...

Q: Assume a person invests $12000 at the end of each year for 30 years at an annual interest rate of r....

A: Part (a)The future value amount should be equal to A = $ 1,000,000.Please see the white board.The mi...

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal t...

Q: b. Find the area of the region bounded by Y = xe ax and the x-axis on the interval 0,41, where a> 0....

A: Area of region which is bounded by f(x) and x-axis on [0,4] computed as follows.

Q: A bug is moving along the right side of the parabola y = x^2 at a rate such that its distance from t...

A: Let (x,y) be a point on the parabola y=x^2. Then (x,y)=(x,x^2).Let, distance from origin= p. Given, ...

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and sp...

Q: Find the function represented by the following series and find the interval of convergence of the se...

A: The function is given by,

Q: Suppose that the demand for a product is given by  p= 1/2ln (5000-q/q+1) where p is in hundreds of d...

A: The elasticity of demand when the quantity demanded (q) is 2 and the price (p) is 3.71 hundreds of d...

Q: 2 sec x Ay and the 2 In the figure to the right, the equation of the solid curve is y equation of th...

A: The curves are given by,

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

A: The given curves are y=x, y=4x, y=16.The graph of the region formed by these curves is,

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

A: The given functions are,

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given curve:and region bound are:We need to find the volume of solid obtained by the given curve for...

Q: How can I get the result?

A: We used a calculator to find the values for the table.  And rounded each value to 4 decimal places. ...

Q: Need help with D, E, and F.  Anser A- h= 17.92/(pi)r^2 Answer B-S(r)= 35.84/r + (pi)r^2 Answer C- S'...

A: Given information:The surafce area of the baking powder is shown below: 

Q: The function s(x) = 3600/(60 + x) = 3600(60 + x)^-1 gives a person's average speed in miles per hour...

A: The function of distance,

Q: Logarithmic differentiation see below

A: The given function is ,

Q: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...

A: Given that a population develops according to the logistic equation

Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the int...

A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because a...

Q: Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed cos...

A: We are given marginal cost  

Q: Approximate the area of the shaded region using the Trapezoidal Rule and Simpson's Rule with n = 4. ...

A: Given information:The value of n is 4. 

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The given interval is [-1,1] and the function is,   

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

A:  The partial derivatives of f(x,y) at the point (x,y)=(5,2)are:

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x. 

Q: 3x2-3-4e2x and y(0) 8, then y= If dx x3- 3x - 4e2x x3- 3x - 2e2x + 8 x3- 3x - 2e2x x3- 3x - 2e2x + 1...

A:

Q: I need help for this.

A: (a)  Use the ratio test and compute the interval of convergence as follows. 

Q: Question 2 Pratice

A: Part A

Q: Find the exact length of the curve of the equation that is in the picture, make sure that you show a...

A: We first find dy/dx

Q: Determine if y=ex −7x−4 is a solution to y′−y=7x−3.

A: To test whether the given function y(x) is a solution of the given differential equation

Q: Solve for complex x. e^(x^2+4x)=8

A: Solve the equation e^(x^2+4x) = 8 for complex x as follows.

Q: Activity 5 Inverse Functions and their Derivatives 10. When a camera flash goes off, the batteries i...

A: Given:The function is Q(t) = Q0(1−e−t/a), where t is the time in seconds and Q0  is the maximum char...

Q: Optimization Problem A rectangle is constructed with its base on the diameter of a semicircle with r...

A: a)Let x and y be the base and height of the rectangle, respectively.Given that, the rectangle is con...

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

A: The definite integral is given as

Q: I know it’s u-sub, but I forgot how...

A: Given information:The given integral is  

Q: I need help for this.

A: Let S be the sum of the series we have to find. Hence, S will be as shown on the white board.

Q: Find the area, in square units, bounded by f(x)=3x+5 and g(x)=2x+1 over the interval [0,12]. Do not ...

A: Area of region between f(x) and g(x) over the interval [0,12] is computed as follows.

Q: Determine the location and value of extreme values of f on the given interval, if they exist.   Type...

A: Given information:The given function is  

Q: Calculate the area, in square units, bounded by g(x)=4x+8 and f(x)=x2 +19x+62 over the interval [−9,...

A: We have to find area between f(x) and g(x) for given boundaries.f(x) and g(x) is given below:Graph  ...

Q: PK P (K-P)e 8. Scientists use the Logistic Growth function P(t) = to model population growth where P...

A: The logistic growth function is given by,

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.