Step 5Finally, we substitute foru to write the answer in terms of x. Use C for the constant of Integration.1dx+ C An excellent fim with a very small advertising budget must depend largely on word-of-mouth advertising. In this case, the rate at which weekly attendance might grow can be glven bydA-2008000(t+20where t is the time in weeks since release and A is attendance in milons.dt(t+ 20y(a) Find the function that describes weekly attendance at this film. (Assume A(0)-0.)-200 +4000+ 20 3(b) ind the attendance at this film in the sixth week. (Round your answer to one decimal place.)1100.77X million

Answered: Finally, we substitute for u to write…

Math

Calculus

Finally, we substitute for u to write the answer in terms of x. Use C for the constant of Integration. 17x 28te+C dx

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.6: Solving Quadratic Equations By Using The Quadratic Formula

Problem 64PFA

See similar textbooks

Related questions

Q: B3. Find the integrating factor by inspection then solve. ydx + (x + x4y2)dy = 0

A: Let's solve given diffrential equation.

Q: b) Change the order of integration for . S(x- Jy=o Jx3xy) dxdy then evaluate it. |

Q: The value of the integral | (|x+1|+|x) dx is а) 9 b) 1 c) 0 d) 4

A: The given integral is I=∫-22x+1+xdx To solve the given integral we need a result that is ∫x…

Q: Given: (1+2x) ex dx. Using integration by parts and letting u = -1-2x, dv = f(x)dx, then the value…

Q: 3) 2xydy = (x³ + y²) dx

A: I am attaching image so that you understand each and every step.

Q: Integrate the following expression, and solve for the constant of integration using the fact that y…

A: To solve for the constant

Q: B. Solve the following equation using the determination of integrating factors. 4. y(y3 – x)dx +…

A: Recall: If the equation Mdx+Ndy=0 can be expressed as xayb(mydx+nxdy)+xcyd(pydx+qxdy)=0 , where…

Q: Find the general solution of the following DE by finding an integrating factor to make it exact…

Q: h =1 with the Trapezoid Method e*dx Which of the following is the solution of the integral?

Q: Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help?…

A: The integral of ∫xndx=xn+1n+1.

Q: is -1/(xy) is the integrating factor of the non-exact DE ydx-xdy=0, show your solution.

Q: C. Solve the following using Integrating Factor by Formulas. 1. 2y(x? – y + x)dx + (x2 – 2y)dy = 0…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In integration combination is equal to... ay2 ady-ydu A.d(x² + y*) B.dAretan (2) C.dArctan (E)…

A: Integration combination

Q: Change the order of the integration and then evaluate the following -1 с2-х (a) [L ху dy dx x2 -2…

A: We have to evaluate the integrals by change of order. a. ∫01∫x22-xxydydxb. ∫02∫y342yy2dydx

Q: 4. (ху + 1)dх +x?dy 3D 0

A: The differential equation is given as (xy+1) dx+x2 dy=0. We need to solve the equation by…

Q: У(x? — у? + 1)ӑх -x(x? — у? - 1)dy %3D0

A: The given equation is yx2-y2+1dx-xx2-y2-1dy=0 Compare with Mdx+Ndy=0 to get: M=yx2-y2+1 and…

Q: Find the value of k that makes the integration formula true. a) ſx*dx = kx*+ C b) SVĩ dx = kx³/2 + C…

A: In the question we have to find the value of k. AS PER BARTLEBY GUIDELINES WE CAN NOT SOLVE QUESTION…

Q: Find an integrating factor and solve the given equation. 18y dy (18x + 7) + (6²² +15v ) = 0 X dx

A: The given differential equation is 18x+7y+6x2y+18yxdydx=0

Q: B. Solve the following equation using the determination of integrating factors. 2. y(4x + y)dx –…

Q: ( 4x´y + 2y´) dx + (3x° + 4xy )dy Integrating Factor ху

Q: To integrate x3x² dx' Ox хех2 242 x² OX we apply integration by parts and in the form u dv, dv is…

A: We have to determine the integral

Q: cos a eT dx ¤ dx Csc x

Q: Determine whether the equation is exact. Otherwise, find an integrating factor then solve the DE.…

Q: A.Use the given integrating factor to find the general solution of the following DE 1. (4x²y +…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: x³dx =², then = f(x) is Using integration by parts to solve and letting u = V4-x2

Q: 4) x(xdy - ydx) = y² lnx dx

Q: Apply integration techniques after separating the variables of the following given equation to…

A: You have only asked question number 1, so I have to solve only question number 1.

Q: 9) xdy- ydx = (x² + y²) e* dx

A: Let's solve given diffrential equation.

Q: C. Solve the following using Integrating Factor by Formula 1. 2y(x2 — у + х)dx + (x? — 2у)dy %3D 0

Q: Given: (1+2x) ex dx. Using integration by parts and letting u = − 1 − 2x, dv = f(x)dx, then the…

Q: Q2: Find the integration by applying substitution method: 7 dX (X – 1)VX2 – 2x - 48

A: Given, ∫7x-1x2-2x-48dx

Q: Find the general solution of a²z a?z e*-y sin(2x + 3y) + y sin x ax² əy²

A: Given partial differential equation: ∂2z∂x2-∂2z∂y2=ex-ysin2x+3y+ysinx . . . .…

Q: Find the family of solutions of the following equation using integrating factors found by…

Q: Apply integration techniques after separating the variables of the following given equation to…

A: We have to find out

Q: . The expression *", where " is equal to Blank 1, is an integrating factor for xdy + (3x – 2y)dx = 0…

A: "As per our policy we can answer only first question so please repost the other question as next…

Q: Use integration by parts to evaluate: xe2x dx DA. 2e2*(x – 2) + C OB, x²ex² + C OC. -[2x – 1] + C 4…

Q: 99. (2ry'e +2ry+y)dz+(z*y*e® -z'y-3z)dy= 0

A: Solution : (1) The given differential equation is(2xy4ey+2xy3+y) dx+…

Q: B5. Find the integrating factor by inspection then solve. y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: (2x2 + 3у? — 2)dx — 2хy dy %3D 0

Q: (z- 2y)dr+ ydy = 0 %3D

Q: 5 3t2 (t3 + 4)°dt

Q: The expression x , where " is equal to Blank 1, is an integrating factor for xdy + (3x – 2y)dx = 0

Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

Q: Solve as required : Given : Z = 3x?y³ – 4x*y? from the given, solve the followin d) e) Zxy f) Zoxy

Q: In integration combination xdy-ydx is egual to.... x2+y2 A. d(x* + y?) B.dArctan (e) C.dArctan…

Question

100%

Step 5
Finally, we substitute foru to write the answer in terms of x. Use C for the constant of Integration.
1
dx
+ C

An excellent fim with a very small advertising budget must depend largely on word-of-mouth advertising. In this case, the rate at which weekly attendance might grow can be glven by
dA
-200
8000
(t+20
where t is the time in weeks since release and A is attendance in milons.
dt
(t+ 20y
(a) Find the function that describes weekly attendance at this film. (Assume A(0)-0.)
-200 +4000
+ 20 3
(b) ind the attendance at this film in the sixth week. (Round your answer to one decimal place.)
1100.77
X million

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Solution

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Indefinite Integral$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?
The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?