Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the marginal cost is MC = 3.5x + 15 with a fixed cost of $325. Assume R(0) = 0. a) How many units will result in a maximum profit? x = b) Find the revenue function. R(x) = c) Find the cost function. C(x) d) What is the maximum profit (to the nearest dollar)? The maximum profit is

Q: If f(x, y, z) = 3xy²z³ + arcsin(x√√z), find fxzy. [Hint: Which order of differentiation is easiest?]…

A: fx,y,z=3xy2z3+arcsinxz

Q: I need help with the one I got wrong

A:

Q: dr. Give your answer in an exact form (using surds, indices and fractions as necessary, do not…

A: To evaluate the following integral by taking k=3. ∫0∞e-kx2ekx+1 dx

Q: (b) J 32+3 22²-2-1 dx

A:

Q: Find an equation of the line tangent to graph of F(x) x² + 1 x²_4 2 (3,2). write the equation in the…

A:

Q: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 450 - 0.09x², x…

A: For the demand function dx and demand level x, to find  the consumers' surplus. dx=450-0.09x2, x=40…

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 26 cm…

A: Volume of the cylinder = πr2h where r is the radius and h is the height of the cylinder.

Q: (b) So = x-4 r2 – 52 + 6 dx

A:

Q: Given u = a. 27 + 47 b. u c. u x d. lul V V [-4,4, 4] and = - [-5,6, 2] find

A: Addition of two vector formula and product rules

Q: Subject: calculus  Using integration, find the area of the region enclosed by the lines 2x+y-6=0…

A: Given equation of lines are as following 2x+y-6=0 ; 3x-2y-1=0; x-3y+4=0 To find the area enclosed by…

Q: Find the magnitude of the vector. Give the answer in simplest radical form for magnitude. z = 12i +…

A:

Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (6 cos(t), 6 sin(t), 6…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the integral test to determine whether each of the following series converges or diverges. For…

A:

Q: 2 X 2 [√³² L √ ² - ²³ √ x² + ²³² dy da dx 0 X

A: ∫0√2∫x4-x2x2+y2dydx

Q: 3. Practice similar Help me with this Find the quotient and remainder using long division for The…

A:

Q: (a) x2 x² - 1 x²16 1₂ dx

A:

Q: The equation (5)/(3)log_(4)(x)=9 can be written in the form x=2^(y) for some number y. What is y ?

A: We have to find the value of y. Conversion of log form to exponental formlogbm=x                 →…

Q: 9) Write an integral function that represents the position of an object at any time t given the…

A:

Q: Cheap Chips Corp. has determined that the profit, in dollars, derived from the production and sales…

A: Given profit function  p( x ) = 2000xe-x40 Where profit in dollars  x is the units sale

Q: Construct a limit evaluation problem with an answer of 1.

A:

Q: Find the general antiderivative. Use c as the constant of integration. x 9 dx

A: ∫exex+9dx

Q: Using Double integrals in Polar Coordinates

A:

Q: (c) dx So ² (x² + 1)²

A: we have given integration ∫ 011x2+12dx

Q: 3) Curve Stretching Let F(x) = x 4-12x² +36x. use all significant Features (Domain, X and…

A:

Q: 1,0 18

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Find the unit vector ey, where v = = (4,0,7). (Give your answer using component form. Express…

A:

Q: 1.) d³s dt3 2.) x 3.) ди ду d²v dr² + U = EQUATION S 3 1 + (- 2² z əx² dv + t dr 13 ds dt 4 - st = 0…

A: Since you are asking multiple questions. We are answering only first three questions as per our…

Q: Consider a vector field F(x, y, z) = (2xz + y², 2xy, x² + 3z²) and a curve C given by r(t) = (t², t…

A: Consider a vector field F(x, y, z) = <2xz+y^2, 2xy, x^2+3z^2> and a curve C given by r(t) =…

Q: (12) Describe each system of planes. If possible, solve the system. a) x + 2y + 3z = 4 2x = y + 4z =…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find a polynomial f(x) with leading coefficient 1 such that the equation f(x) = 0 has the given…

A: Given: Polynomial f(x) has a leading coefficient of 1, has a degree of 7 andhas roots 4,5,3-i and…

Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

A: The given equation is, x5+4=0

Q: Use the standard Maclaurin series for sin(x) to find the first three non- zero terms in the…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: Solve the differential equation. 5√xy dx = dy dx = 2, x, y>0

A:

Q: 8) A region is bounded in the second quadrant by the curve y = In(1-x), the line y = 3, and the…

A:

Q: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

A: A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material…

Q: Cheap Chips Corp. monthly profit (in dollars) derived from the production and sale of device model…

A: Cheap Chips Corp. monthly profit (in dollars) derived from the production  and sale of device model…

Q: Find the dot product of the vector pair. u = and v =

A:

Q: Can you please help me how to do this problem, can you show me how you do it step by step so I…

A:

Q: British Deficit The projected public spending by the British government for the years 2010-2011 (t =…

A: The projected public spending by teh British Governmnet for the years 2010-2011 (t=0) through…

Q: The light bracket ABC is freely hinged at A and is constrained by the fixed pin in the smooth slot…

A: To determine the value of the resistance force in this situation, the equilibrium conditions must be…

Q: For the angle 0, find the following. (a) tan (0) (b) cot(0) (c) sec(0) (d) csc(0) 37 (-12,-35) y 0

A: Figure

Q: Determine if Rolle's Theorem and the Mean Value Theorem is applicable on the specified interval. If…

A: Condition to apply Rolle's Theorem and Mean value Theorem 1. Function must be continuous over…

Q: Express the limit as a definite integral on the given interval. 2 lim Σ 19(x;*)3 – 5xi]Δx, [2,7] i =…

A:

Q: Use the ratio test to determine whether n2n n=29 (n+2)! Converges or diverges. (a) Find the ratio of…

A:

Q: Determine if the vector pair are orthogonal or not. a = 6i 18j and - b = -8i + 3j

A:

Q: an = 3n 2n + 3

A:

Q: . Find the distance traveled by the object for the interval 0 ≤t≤ 5.

A:

Q: Find the area of the triangle with (-1,1,-2), (-2,0,1), and (0, -2, -1) as vertices. The area of the…

A: Given: Vertices of a triangle are (-1,1,2),(-2,0,1),(0,-2,-1) We are required to: Find the area of…

Q: A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle theta…

A: