A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the room to be $140 per night, 150 rooms will be rented. in order to rent 200 rooms, it must lower the price to $90 per night. If the hotel sets the price to be $110 per night, what is the marginal revenue? The marginal revenue is $per room. (Round answer to nearest dollar: If more than one answer, separate with a comma.)

Q: 16 y = (0, 1) (x + 4)2"

A: Given: - The function is, y=16(x+4)2, at the point 0,1 To find: - The slope of the graph of the give...

Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

A:

Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,   ...

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y 2+4x-...

Q: 8x Use the alternative formula for the derivative to find the derivative of f(x) = x-9 ...

A: We have to find derivative by using alternative formula.

Q: - 4x + 30 -dæ Evaluate (x – 5)(x + 5) + C

A:

Q: Find the critical points of the function f(x,y)=x^(4) + y^(4) − 144xy

A:

Q: At the point x 2, the function -8 2<x<* f(x) = |x-2 -< xs2 is (a) continuous and differentiable (b) ...

A:

Q: xy' + y = x³y³ Inx

A: This question is related to differential equations, we will solve it using given information. 

Q: cos(7t), 3t >. Find the arc length parameter s(t) with base point at P(t0) where t0 = 4.

A: Here is solution

Q: Find all points (x.y) where f(x,y) has a possible relative maximum or minimum. 10x.y) = x² - 5xy + 6...

A: f(x,y)=x2-5xy+6y2+3x-9y+8consider fx=0⇒2x-5y+3=0⇒2x-5y=-3consider fy=0⇒12y-5x-9=0⇒5x-12y=-9 Solve th...

Q: Find the differential equation of the family of circles with fixed radius, r=0+4,and tangent to the ...

A:

Q: Find fr and f, for f(x, y) = (1 – x + y)e²+2y Select one: O a. fr = (-x + y)e+2y, fy = (3 – 2x + 2y)...

A:

Q: Find fr and f, for f(x, y) = 3x³ + 4x²y+ 4xy² + y? Select one: O a. fa = 12x? = 9x? + 8xy + 5y², = 9...

A: Given -  f(x,y) = 3x^3 +4x^2y + 4xy^2 + y^2 To find fx and fy.  

Q: 6. Solve the inequality f(r) = 3(x- 5)(x+ 2)2 > 0 first algebraically your answer using the graph in...

A:

Q: Find the general solution. dy - 2y +4x3 dx

A:

Q: Test the series below for convergence using the Ratio Test. n+5 Σ 4n +4 n=1' The limit of the ratio ...

A:

Q: X = 1 mod 3 x = 7 mod 4 X = 2 mod 19

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side len...

A: Application of derivative

Q: Joes the graph of the function below have any horizontal tangent lines in the interval 0 sXS 2T? It ...

A:

Q: (y-cos²x)dx + cosx dy = 0 %3D

A:

Q: Question 1 Some values of a differentiable, invertible function fand its derivative are given below....

A:

Q: Relation 1 Relation 2 Domain Range Domain Range b рaper d -9 sky -1 sky 2 раper -5 moon Function O N...

A:

Q: 1. Use the Product Rule to differentiate y = x³(2x + 1)*.

A:

Q: 1. For function z = f(x, y) where f(x, y) = 4 – x² – 2y², we compute that fa(1,1) = -2 and fy(1,1) =...

A:

Q: the absolute maximum and minimum values of the following function on the given interval. If there ar...

A: Find your answer below 

Q: 2. х?уз- Зху %3 4х + у+1 at (0, - 1)

A:

Q: If f (x) =find the equation for the tangent line to f (x) at x=0 e* For the toolbar, press ALT+F10 (...

A: Given problem:- If f(x) = x/ex find the equation for the tangent line to f(x) at x=0

Q: Write a chain rule formula for the following derivative. for w = f(p, q); p = g(x, y), q = h(x, y) O...

A: We have to find the derivative

Q: Find the inverse of the function f (x) = x-1 2x+3

A:

Q: The cost of producing xgallons of Slurm is given by the function ?(?) = 2? + 48. A gallon of Slurm s...

A:

Q: fa- (4 – 3 cos x) sin? x dx

A:

Q: Differentiate the following implicit equation for y(x) with respect to x: x* + a?y? – y4 = 4 2.2 %3D...

A:

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

A:

Q: 2. Determine the x-coordinate of the points where the tangent to the curve y = (x – 2)²(x + 3) is ho...

A:

Q: 5. Solve using 2 techniques: (x - ky)dx + k(y – x)dy = 0 where k = a +b %3D Dind th diff

A:

Q: sec2 x 2. csc2 x = %3D sec2 x-1

A:

Q: derivative of y with respect to x. y= In (6 In x) dy dx %3D

A:

Q: Find the derivative of the function. Vi+3 y'(x) = Need Help? Read It

A: Given find derivative of y=4xx2+3

Q: 6. Which of the following is logically equivalent to [(p V q)^(p V¬q) ^(p Vr)]→[(p V q)^(¬p Vq) ^(q ...

A:

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug...

A:

Q: |(1 – 32)} dx [a (1 – 43)! (1— 4х): (1 – 4x){ + C 3 + C 4 + C 3 none of the above

A:

Q: Let z = 3+2i and w = 4 – i. Evaluate (a) z + w (b) z – w (c) (d) z/w (c) z•· W

A:

Q: Given the matrix 4 1 -1 0. 0 2 -1 (a) find its determinant; Your answer is : (b) does the matrix hav...

A:

Q: Exercise 4: Mastery Learning Game Directions: Find the derivative of the following functions: 1. y =...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measure...

A:

Q: xdy- (4x²-2y)dx = 0

A: This question is based on solution of linear differential equation.

Q: x³+2x 1. dx x2+1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Test the series below for convergence using the Root Test. 8n 4n + 1 n=1 The limit of the root test ...

A: