Given cost and price (demand) functions C(q) = 110q + 45,000 and p(q) = - 2q + 870, what is the marginal revenue at a production level of 60 items? The marginal revenue is $. (Round answer to nearest dollar.)

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. f) = 3x+13...

A:

Q: Determine whether the series converges, and if so find its sum. 4k+5 7k-1 k=1 II

A: topic - sequence and series

Q: 1 dx x2 + 9

A:

Q: 2. (x +1)y'+y = x² – 1 %3D -

A: Topic = Differential equation

Q: i need help on question 6: the equation i am using is: f(x) = 4^-x - 2

A: The given function,   f(x)=4-x-2

Q: Determine the derivative of f(x) = 3 x2 In x with respect to x. f '(x) :

A: We differentiate both sides with respect to x and apply the rule d/dx(uv)=ud/dx(v)+vd/dx(u)

Q: In Exercises 17–56, find the most general antiderivative or indefinite integral. You may need to try...

A:

Q: 1 8. Find the value of p for which the series Lninn: (ln (In n))º is convergent. n=3

A:

Q: x2 - f(x) Let k(x) = %3D 2x- 3 Find k' (-1), given that

A: Given:-k(x)=x2·f(x)2x-3f(-1)=-2f'(-1)=3To find k'(-1)

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = 3t + ...

A:

Q: Write the equation of the sphere if (1, - 2, of the sphere. 5) and (- 1, - 2, - 7) are the end point...

A: Solving question by equation of sphere

Q: mpany has a cost for producing x items of 55x+33 and revenue is 95x-0.5x2 what is the profit

A:   The profit is the revenue minus the cost

Q: y = (ax-1) (6x.+5]%3 find dy dx 10

A:

Q: Invesigte (-1)*+1 - for convergence or divergence. n=1

A:

Q: Evaluate Jsinudu, a, cos u+c b. cos u c. -cos u + c

A:

Q: Determine Linear Functions Directions: Determine which functions are linear and then drag each into ...

A:

Q: Let a > 1. Find the area of the region bounded by y = /2(x – a) and y = x- a. A) B) C) D) E) 6. A) B...

A:

Q: the following curves. 33. y= 2.x+ 3x² + 1 34. y = x -x - 6x 35. y= x³ - 3x? + 3x – 2 36. y = 100 + 3...

A:

Q: Let A= [a, b c, d, e) and B=(a, b, c, d, e f g, h). Match the given sets in the left to the sets in ...

A:

Q: Use any method to determine whether the series converge. 1 (a) E k=1 k' + 12k + 1 This series conver...

A:

Q: Let f(x)=-2x'-10x+12 (a) Express f in standard form (b)Find the vertex (c)Determine if the vertex is...

A:

Q: prove that tanx V secrsinxtanx

A:

Q: 2. Show your solution. The sample space that describes all three-child families according to the gen...

A:

Q: 6) What are the real and imaginary parts of (1+i)exp(-it/4)/v/2? 7) What are the real and imaginary ...

A: First we simplyfy then find real and imaginary parts. 

Q: Plot the following functions y = (x – 1)3 + 2

A:

Q: Sketch the graph of a function, f, that satisfies the following properties: • x = 2 is a vertical as...

A: We have to draw the graph of the given function based on given information.

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A:

Q: 9=1-5t Gas. d= o ans

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: Question d²y Find if-x2 + 3y² = 4. dx2 Provide your answer below:

A:

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A:

Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: Compute the value of the following improper integral. If it converges, enter its value. Enter infini...

A:

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: This is a problem related to series calculation. Based on the ratio test we will determine the natur...

Q: Find the absolute maximum and minimum values of the function f(x) = xV4 – x² on the interval [-1,2].

A:

Q: Solve the initial value problem. ds 281(7? – 5)°, dt s(1) = 12 4 (71² – 5) + 4 The solution is s = 2

A: This is a problem of integration. By using below formula we will calculate integral and then will su...

Q: Q1: Find the slope-intercept forms of the equations of the lines that pass through the point (3, -4)...

A:

Q: Solve the initial value problem. d²y = 2 e -X, y(0) = 0, y'(0) = 4 dx

A: ∫ d2ydx2 =∫ 2 e-x dxdydx=2e-x(-1)+Bdydx=-2e-x+B ...(1)

Q: 3. Evaluate ". a, Inutc b. In u C. Inx+c

A:

Q: Solve the following differential equation (1+x)y' – y=0 Select one: O a. Inlyl=In|1-2xl)+c O b. Inly...

A:

Q: The sum of the series 1 is: A) 1. B) 2. 1 C) D) E) Diverges. A) B)

A:

Q: y = Cax+) ?x5+3 (3メ+)% (4xx+)

A:

Q: If cotx = 12 find the other trigonometric functions

A: Given that cot (x)=12 -(i)Our Aim is to find the other trigonometric functions.

Q: Find the midpoint of the line segment with the given endpoints (-7,- 1)and (- 3,- 2) The midpoint is...

A: The midpoint of the line segment with the endpoints (x1,y1) & (x2,y2)is given by: x1+x22,y1+y22 

Q: (ke) 3 (1-In 2-) 1. For Sk*e3* dx = +C.f u= 3x, then k=? 2.

A:

Q: solve 33,37&41

A: In this question we have to sketch the following curves.

Q: prove that tanx V secxsinxtanx %3D

A:

Q: e" dx 7.3. J- 1-e 2x

A:

Q: 1.J347x2+12x .s 3x2+8x-12 dx

A: 1). Given: I=∫3x2+8x-12x3+7x2+12xdx We know that; ∫1ax+bdx=1alnax+b+C   Note: As per Bartleby guidel...

Q: Solve the system. 2х + 6у - z %3D 6 4х - Зу + 5z 3D - 10 8х + 9y - 2z 3 12 The solution set is {(CI)...

A: We have to solve system of equation

Q: Compute dy/dx for the function. 5) y = In sinh 6x

A: topic- derivative of a function