A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many of them were adults? Solve using Cramer's Rule

Q: A dietitian in a hospital is to arrange a special diet using three foods, L, M, and N. Each ounce of…

A: answer is in next step. please give a like !!

Q: 3. State the remainder when f(x) = 2x² −x³ +1 is divided by (x+1).

A: We can find the remainder as below.

Q: 2. What is the degree of the function g(x)=-2x(2x-1)(x² + 1)²?

A: The given function is; g(x)=-2x(2x-1)(x2+1)2.

Q: Consider the following. lim 2x²-3x - 5 x--1 x + 1 Find the limit of the function (if it exists). (If…

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Q: A differential equation y" - 3y + 2y = 0 with y(0) = 1 and y(1) = 2 is Select one: O a fourth order…

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Q: The maximum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

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Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are…

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Q: The gradient vector of the function f defined by f(x,y)= In(1+7x² +5y²) is equal to Select one: O…

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Q: Evaluate and show all necessary solutions. 1.S cosxsin²x V1+sinx √25-4x² 2. S 3. S 4. fxcosxsinxdx…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J tan6(9x)…

A: The objective of the question is evaluate the indefinite integral with substitution method.

Q: A function y = f(x) and an x-value xo are given. f(x) = x + √√x; xo = 1 4 (a) Find a formula for the…

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Q: 10. Solve 3log x= log 512-log 8

A: To slove 3logx=log512-log8

Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: Reverse the order of integration in order to calculate the following integral: 2 1+x4 0 dx dy.

A: We can evaluate the given integral by using the integral formulas.

Q: dt || y whent = 0, y =

A: Please refer to the image below

Q: Match the vector-valued function with its graph. r(u, v) = ui + vj + uvk -2-1 2 2

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Q: The normal vector to the tangent plane for the surface xy² z³ 2 3 = -4, at the point (1, 2, -1) is:…

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Q: Evaluate the indefinite integral 7X+17 (x+2) (x+3) dX

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Q: Given the following graph of f(x), state --6-5-4-3-2-1 3- 2+ 3 4 a) the domain b) the range

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Q: Find the volume of the solid region in the first octant inside the cylinder x²+y2=4 and between the…

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated…

A: I have stated the used formulas in the solution

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x³ (3x4 + 2)³…

A: We need to integrate ∫x33x4+23dxSubstitute 3x4+2=tDifferentiate w.r.t t12x3dx=dtNow∫112t3dt ---{1}

Q: please solve d-f now. thanks.

A: We have to find the composition of functions.

Q: ƒ(x) = [x] + [−x] teger function [x] is defined by the largest integer that is less es of a does lim…

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Q: Evaluate the integral with the aid of an appropriate u-substitution. Simplify the answer, if…

A: In this question we have to solve the Integral.

Q: Determine whether the equality is true or false 2 4 4 √₁² √ ^ (x² + y²³ dxdy = √(√² √2²day) +…

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Q: Partial fraction decomposition can now be used to write L{y}, such that all terms have linear…

A: We can find the value of A and B by using the partial fraction method.

Q: ne estimated value of x²dx, using the trapezoidal rule with 4 trapezoids is 2.75

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Q: Evaluate the integral and check your answer by differen NOTE: Enter the exact answer. [x x(7+x²) dx…

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Q: 9. Find a formula for the general term an of the sequence: {1,0,1,0,1,0,1,0,...}

A: Given sequence is  { 1,0,-1,0,1,0,-1,0,....} Now we give formula of this sequence

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 3 S[ ²…

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Q: Find g'(3) given that f(3) = -4 and f'(3) = 2. g(x) = 3x² - 5f(x) g'(3) = i eTextbook and Media 2x +…

A: Given :f3=-4f'3=2gx=3x2-5fxgx=2x+1fx

Q: Question 1 Consider the matrix A- - (a) (b = 64 -1 1 -1 0 3 -2 -2 2 1 Compute the adjoint matrix…

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Q: If    f(x) = 2 cos(x),    0 ≤ x ≤ 3pi/4,    evaluate the left Riemann sum with  n = 6,  taking the…

A: Given :fx=2cosx   , n=60≤x≤3π4

Q: Q2) [ Given the function f(x,y)=x²-6x+y²-6y+8 a) [ Find all critical points of f. b) Find the…

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Q: (Dº − 4D³ +3D³),y = −27

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Q: (a) an = 5+7n² n+ 3n²

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Q: Sketch the region R of integration and then switch the order of integration for the following…

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Q: a) Determine if the geometric series 8n-1 90+1 n=1 is convergent or not, and find its sum if it is…

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Q: The value of the integral Select one: b. None of these 5 4 d. / c. [ [²x² 7/2 x²y³ dx dy is:

A: This is a double integration problem

Q: ( 3x³ - xy² 2 3xy+y dy 3 dx = 1 |

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Q: Find the constant a such that the function is continuous on the entire real line. 7sin x 0 = g(x) =…

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Q: 2. Which definite integral approximation formula is f(x) dx = Left rectangles Right rectangles…

A: The given formula is;  Integration of f(x) , limit from a to b = (b-a) /n [y0+y1+y2+y3+...+yn-1].

Q: (c) Use the ratio test to determine whether the series is absolutely convergent, conditionally…

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Q: Match the vector-valued function with its graph. O r(u, v) = 2 cos(v) cos(u)i + 2 cos(v) sin(u)j + 2…

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Q: 11. Calculate the Riemann Sum R(f, P, C) for f(x) {-3,0,2,5} = 2x + 3, P = {-4,-1, 1, 4,8}, C =

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Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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Q: (2) = [ (t² − 1) dt (b) f(x) =

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