5. RockHard Productions holds weekly events in an arena with a seating capacity of 15 000 spectators. With ticket prices at $12, the average attendance is 11 000 fans. A market survey indicates that for every dollar that ticket prices are lowered, the average attendance will increase by 100 fans. How should the production company set ticket prices to maximize their revenue?

Q: Find the speed over the path r(t) = (cosh(t), cosh(t), 9t) at t = 2. Use decimal notation. Give your…

A: Given path r(t)=<cosht,cosht,9t>To calculate speed at t=2

Q: The height of an object t seconds after it is dropped from a height of 430 meters is s(t) = -4.9t² +…

A:

Q: Find the area of the surface. the part of the cylinder x2 + z2 = 16 that lies above the square with…

A:

Q: In 2 2 Set up the iterated double integral f(x,y) dy dæ as dxdy such that: (iki katli integrali f(x,…

A:

Q: The line tangent to the graph of g(z) = 2³-4x+1 at the point (2, 1) is given by the formula L(z) =…

A: To select: The correct options.Given: The function is and the line tangent to the graph at the…

Q: Suppose f(x) = 3x² + C, where C is any real number. Then the expression can be written in the form…

A:

Q: Find the intersection of the given intervals and graph the set on a number line. [0, ∞)n(-∞, 21]…

A:

Q: A real-life problem is modeled using a sine function in the form of f(x) = acosx + c. Assuming a is…

A: Here we have to find whether the given statement is true or false.

Q: Find d²y 2/2 dx for the following function. y = 8x cos (x²)

A:

Q: Solve the following system of equations by elimination. 4x = 2y + 10 2x - y = 5 O (0, -5) ооо 85°F…

A: 4x=2y+102x-y=5To determine the solution of the given system of equations.

Q: Suppose f(x) can be written in the form (a) A = (b) B = (c) C = (d) D= (e) f'(1) -8 2x + 4 | = Then…

A:

Q: Use the Ratio Test to determine whether the series convergent or divergent. n = 1 n! n

A:

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper…

A: Given series: To find: whether the series converges or diverges and if converges value of sum

Q: Find the x-value(s) at which the tangent line to the curve y = X = -3x + 2 ex is horizontal. (Enter…

A:

Q: Question 2: Let I = fysin(xy) dydx. By reversing the order of integration of I, we get: a. I =…

A:

Q: 81. 1/√/2 1/2 83. S'₁₁ e² 4 1 − x² e²+1 du dx 82. 84. 4 t² + 1 So' dt 2y² − y dy y²

A: Given

Q: dN Find the equilibria of the differential equation = N In N, N > 0. dt Identify all the equilibria.…

A:

Q: T The vector v makes an angle of a = 4 with the positive z-axis. Find y. Hint: Use the identity cos²…

A:

Q: Assignment: Find all intervals on which the function is positive and all intervals on which the…

A:

Q: Find the eigenvalues and eigenvectors of the following system and solve the given initial value…

A:

Q: Problem4. Assuming that lim f(x) = 4, compute x →6 2 a. lim f(x)² x →6 b. lim x →6 1 f(x) c. lim x√…

A: Note:-Since you asked multiple questions, according to our policy we can solve only first question…

Q: 2) Use the given graph of f(x) to estimate the area under the graph, over [0,3] using 6 rectangles…

A: We have to Determine area under the graph.

Q: x² -0.08x + 2.8 where x is the number of years since 1956. What was the rate of change in the…

A:

Q: Directions: Provide 1 question and answer it (with solution) on the topic below. 1. Compute the…

A:

Q: Find the volume of the given solid. under the surface z = 3xy and above the triangle with vertices…

A:

Q: A system of linear equations in two variables has 2 solutions if it contains two non parallel lines…

A:

Q: Which of the following statements match the indefinite integral S(3ª) dx? 3² ○ (3²) dx = 3 +C In…

A:

Q: Find the equation of the line tangent to the graph of f(x)=√x+7 Provide your answer below: at x = 9.

A:

Q: Solve the following system of equations by substitution. y = 2x x²=y-1 O (-1, -2) O Ø (the null set)…

A:

Q: Find the average rate of change of the function f(x) = -3x² - 4x + 2 between x = -1 and x = 1

A:

Q: Consider the following. y ₁+1 A, D = {(x, y) 10 ≤ x ≤ 2,0 sys √x} x² Rewrite the above as an…

A:

Q: Use gra Minimize subject to: us to solve this linear programming problem. z = 4x + 5y x- y21 3x + 2y…

A:

Q: Given the vector fieldF(z,y)=(y³+422-2)i+(3zy2+2y+2)j. Evaluate the line integral SF-dr from (1,0)…

A:

Q: From the top of a building 64 feet high, a ball is thrown upward with an initial velocity of 64 feet…

A:

Q: Let z = g(x, y) = f(3 cos(ry), y + ey) provided that f(3, 6) = 6, f₁(3, 6) = 2, f₂(3,6)= 4. i) Find…

A: Given: Let  where  and so  is a function  where as  is a function of according to above notation we…

Q: Directions: Provide 1 question and answer it (with solution) on the topic below. 1. Compute the…

A: Compute the area of a plane region between a curve and the y-axis

Q: Find the derivative of f (x) = (ln(x))2

A: a) f(x)=

Q: The arc lenght of the curve r(t)= (2t)i + (t²)j + (In (t²))k for 1 ≤ t≤e A) ² +11 B) ²23 2 e D)*+11…

A:

Q: Compute the length of the curve r(t) = (-4t, 3t+1, -7t-6) over the interval 0 ≤ t ≤ 3.

A:

Q: Determine the area, in square units, bounded above by f(x)=-x^2−8x-5 and g(x)=x−1 and bounded below…

A:

Q: 84°F For a football game, 5,600 tickets were sold. The price for each adult ticket is $27.25, and…

A:

Q: Calculate the following mentally (and show how you did it!)   13 x 15 2^8 x 2^3 48 x 25 34200 /…

A:

Q: Find the local maxima, local minima, and saddle points, if any, for the function z = 3x² + xy + y² -…

A:

Q: A clock with an hour hand that is 12 inches long is hanging on a wall. At noon, the vertical…

A: A clock with an hour hand that is 12 inches long is hanging on a wall. At noon, the vertical…

Q: ? 0.5r+0.75s=10 r-s=4 O (6,2) O Ø (the null set) O (10²6) O 0 (2)

A:

Q: Let D be the region bounded below by the cone z = √√x² + y² and above by the z = 2. 1) Sketch D. 2)…

A: We have to setup triple integral

Q: Find the absolute maximum and absolute minimum of the function z = f(x, y) = xy + 4x - 2y +4 on the…

A: for function of two variable maxima and minima can be obtained by double derivative test.

Q: Find Vf at the given point. -1 f(x, y, z) = ex+y sin z + (y + 4) cos x, (0,0,1) f(0,0,5) = (³-4)i +…

A:

Q: 2. Determine the equation of the tangent line to the function f(x) = e* sin sin x at x x==

A:

Q: A body cools from 60°C to 50°C in 15 mins in air which is maintained at 30°C. How long will it take…

A: