Your monthly profit (in dollars) from selling magazines is given by P = 7x + Vx where x is the number of magazines you sell in a month. If you are currently selling x = 50 magazines per month, find your profit and your marginal profit. (Round your answers to two decimal places.) profit $ marginal profit per additional magazine Interpret your answers. Your current profit is $ per month, and would increase at a rate of $ per additional magazine sold per month.

Q: of at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative f(x, y) = In (x...

A: Solve by partial derivatives

Q: need

A:

Q: For each differential equation in Problems 1–21, find the general solution by finding the homogeneou...

A: First I have written the differential equation into operator form and then solved it.Final solution ...

Q: Find if y = [In(e* + 1) + ešin #]³. Do not simplify.

A:

Q: Find dy/dx for the function. x2 + 8x + y2 – 7y + 1 = 0 dy dx

A:

Q: Find all the 1st order derivatives of the function f (x,y) = x2y Part 2) Find all the 2nd order part...

A:

Q: Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate...

A:

Q: q1

A: We have to find out Eigen values

Q: Find the surface area generated by revolving the length of the arc of r = 1+ cose from o to Tt about...

A:

Q: 2. Find the polar forms of e .of 1+i

A:

Q: Which of the following series convergence tests could be applied to the infinite series (2n)! E? Che...

A:

Q: Find f'(x) and f'(c). Function Value of c x2 - 9 f(x) = c = 1 X - 9 f'(x) f'(c)

A:

Q: C. Write TRUE if the statement is correct, otherwise FALSE a. If y 12x, then y' 15x2. b. If f(x) = 1...

A:

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted Ans...

A: As we know that; The trigonometric identities; 1). sinxsiny=12cosx-y-cosx+y 2). sinxcosy=12sinx-y+si...

Q: Find dy/dx at the given point without first solving for y. x2 — бу — 37 %3D0 at (1, -6) | dy dx

A: This question is based on derivative.

Q: If ye – 6y = 5, find dy/dx. dy %3D dx

A: yex-6y=5y(ex-6)=5y=5ex-6Differentiate w.r.t x

Q: The diameter and height of a right circular cylinder are measured to be 5 to 8 inches, respectively....

A:

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: Find the directional derivative of f(x, y, z) = xy + z° at the point P = (3, –2, –1) in the directio...

A:

Q: Solve the problem. 9) Bethany needs to borrow S8000. She can borrow money at 6.9% simple interest fo...

A:

Q: Find the values of b such that the function f(x)=x²+ bx + 59 has the given minimum value 10. +16 +20...

A:

Q: Find the absolute extrema of the function f(x,y) = xy - x - 3y on the triangular region with vertice...

A:

Q: Directions: Differentiate the following functions and determine the slopes of the tangent lines at t...

A: Topic = Derivative

Q: Activity 2.1 A. Choose the function whose derivative is equal to zero c. f(x) = 3x d. f(x) = V2r? a....

A:

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) =x<In(x) given the init...

A:

Q: Hw X+22=9 zy +7=8 4X -3y =-2 Aus , X=1 ,u=2 ,Z=Y

A:

Q: Determine the direction in which f has maximum rate of increase from P. f(x, y, z) = x²y/z, P = (-1,...

A:

Q: Find the area of the region that is outside the cardioid r = 6(1 – sin 0) and inside the circle r = ...

A:

Q: Select the graph of the function y = [2(x– 1)]²+1. Compare the graph of this function with the graph...

A: We need to compare the two graphs.

Q: Find a function f(x, y, z) such that Vf is the constant vector (3,2, 8). (Use symbolic notation and ...

A:

Q: Consider the following alternating series. k9 と(-1)+1 k12 + 4 k=1 a) An alternating series can be wr...

A: The given series is (-1)k+1 k9/(k12+4). 

Q: If. the.work.required to stretch a spring 3 ft beyond its natural length is 9 ft-lb, how much work i...

A: We have the relation,   Work = ∫abfdx Where f is the force and dx is the distance. According to Hook...

Q: Determine the particular solution. v²dx + (x² + 3xv + 4y²)dy = 0; x = 2, y = 1

A:

Q: 4 48. | (4x² – 9x) dx

A:

Q: 7. Evaluate the following integral by changing the order of integration in an appropriate way: 12xze...

A:

Q: Find the slope of the tangent line to the given curve at the indicated point by using the two-step p...

A:

Q: 13.33 square meters, exactly how much will be needed to render a single design on the wa Show your c...

A:

Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: follow the procedure given below.

Q: h of the following functions, find the indicated derivative using the de x + cos(3nx) '; f'(1) x2

A:                                                                                    

Q: f(x)= x^2-4x g(x)= x^2+3x+8

A:

Q: the volume of a regular cylinder is increased up to 80%.  by how much percent the radius of the cyli...

A: The volume of a regular cylinder is increased up to 80%.

Q: at a 3. 4. An observer stands 300 ft away from a launch pad to observe a rocket launch,T rocket blas...

A:

Q: The minimum hourly wage was P50 in 1960 and P257.50 in 2000. What is the average annual inflation ra...

A: Here we have to find the average annual inflation rate in the minimum wage.

Q: The height, h(x), of a punted rugby ball is given by h(x)= 21 +zX- 2x+3 where x is the horizontal di...

A:

Q: D eter mine Paricular volution ( 2xy)dy = (y²-x²)dy j x=I,y= -2

A: In this question we have to determine the particular solution.  

Q: lim f (x)=7 3 lim g (x)=12,, lim h (x)= -3. Find lim g(x) (h(x))2*T(X) limit using limit 35. Given X...

A:

Q: Given: f (x) = 2x? – 3x +1 and g (x) = Vx + 6. Find the limit: lim,4 9 (f (x)). -

A: Given

Q: 4. S sinºx dx

A: This question can be solved by applying the concepts of integration of trigonometric functions.

Q: A = 2.

A:

Q: Let f(x, y, z) = xy + z', x = r + s – 8t, y = 3rt, z = s*. Use the Chain Rule to calculate the parti...

A: