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Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function f(x)=0.002x^...

A:  The quartic function f(x)=0.002x^4+0.025x^3-0.36x^2-7.243x+86.993, where x is the number of years s...

Q: - 30 + 8x² | + 8a° dx =

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: The integral of the given function | cos(9x) cos(5x)dx is equal .. 14 sin 4x + 4 sin 14x А. · + C 12...

A: This question can be solved by applying the formula of 2.cosA.cosB

Q: 3. (a) P - 3e + 2x 32

A: By our policy, we are allowed to solve only one question at a time. Kindly repost the other question...

Q: The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are g...

A: Given data are,  

Q: 2. y' = 4x(2y3 -y)

A: Given differential equation, y'=4x(2y-3-y)..........(i)⇒y'+4xy=8xy-3⇒y3y'+4xy4=8x...........(ii)

Q: Evaluate the integral dx et – e-x Note: Use an upper-case "C" for the constant of integration.

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Q: (8) Find all k so that aek= dx converges. In this case, find the value.

A: Given problem:-

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

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Q: e" corh w dw

A: Explained below 

Q: dx 3xye-Y = -y9. Determine its integrating factor. dy Consider the linear differential equation

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Q: Use any method to determine whether the series converge. (a) E =1 12* The series 1 (b2, 12* + 1 The ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: (2xy-tany)dx+(x^2-xsec^2y)dy=0 solve using exact equations

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Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi ...

A: To Identify: The coordinates of the point in polar form based upon the given conditions. Given infor...

Q: Iculate the derivative indicated. d'y 1 + 322 where y = da2 \1 7 23 nswer:

A: d/dx(x^n) = x^(n+1)/(n+1)

Q: 2. Determine whether the statement is true or false. [3, xs2] l0, x>2/, then lim f(x)=3. a. If f(x)=...

A: f(x)=3x≤20x>2  

Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: Exercise (2) If A and B are any (2x2) matrices. 1. C=A'+B

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

Q: (1) In this question we will find a recursive formula for the integral In = [ (In 2)" dr. (a) Find I...

A: We will use integration by parts formula and after get the reoccurrence relationship we will use tha...

Q: dx 9. 10. (x -

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: 4 f(x)=3sec(x+ Period f(x) Vertical Shift: Horizontal Shift Start End Increments:

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Q: Please evaluate the following integral. Show all solutions

A: We have to find the given integral.

Q: dw Let w = xe/z. Find the value of at x = t?, y = 1-t z = 1 + 2t dt

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 1.Determine whether the following sign series is divergent or absolute convergence or conditionally ...

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Q: Use the disk method or the shell method to find the volume of the solid generated by revolving the r...

A: Given: y = x3 y = 0 x = 3 (a) the x-axis (b) the y-axis (c) the line x = 8

Q: Assume that 0 is an angle in standard position whose terminal side contains the point (-24,7). Find ...

A: Topic:- trigonometry

Q: In +1 dx

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Q: 4. J(2y + 3)? у+2 dy

A: Find your answer below 

Q: Write out the First three terms of the following infinite series (-1)" Sin nt n=1

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Q: For the next three questions, consider the following differential equation: (2y sin x cos x – y + 2y...

A: 2ysinxcosx-y+2y2exy2dx-x-sin2x-4xyexy2dy=0  

Q: Will the limit of all polynomial functions f (x) as x approaches a be always equal to the value of f...

A: To write that the limit of all polynomial functions f(x) as x approaches a always equal to f(a). 

Q: (d) Evaluate L(2.01) using your equation from part (c) (e) Evaluate f (2.01). Why is this value so s...

A: Given function f(x)=2x3-3x2

Q: In(x) f(x) =x

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Q: the line y = 8. y-0 x=1 x = 4 Step 1 The distance from the center of the rectangle to the axis of re...

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 81 xp

A: Let,I=∫x2-81x3dxI=∫x2-81.1x3dxI=x2-81∫1x3dx-∫∫1x3dxddxx2-81dxI=x2-81∫x-3dx-∫∫x-3dxddxx2-81dxI=x2-81x...

Q: arctan x dx (けx) It X

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Q: de 1.

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Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = ...

A: Note that: The jump discontinuity means the left and right-hand limit exists but not the same. And, ...

Q: 10. Show that the function f(x, y,z) = 2z³ – 3z(x² + y²) satisfies the Laplace Equation,

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Q: ACTIVITY 1: Practice ! Apply differentiation rules in finding the derivative of the given functions....

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Q: 5. 4. 3 2- -6 -5 -4 -3 -2 -1 -1 3. -2- -3 -4 - -5+

A: Concept - with the help of graph of Tanx

Q: 1. Two particles travel along the space curves r, (t) = (t, t,t) and r2 (t) = (1+ 2t, 1+ 6t, 1+ 14t)...

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Q: Va – V22 lim x → 22 х — 22 - (Use

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Q: . The population of the state of Georgia (in thousands) from 1995 (1 = 0) is modeled by the function...

A: NOTE: Refresh your page if you can't see any equations. . for the year 2000, take t=5 ............

Q: First make a substitution and then use integration by parts to evaluate the integral 7x°e" dx Note: ...

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Q: aqu o sanb Using Formula i and solving for the required integral, we get j sec's de - {(see x tan x ...

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Q: diverges. Ifit conveges, find the Determine whethe the seauence converges or 3n an=

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Q: Q12. The amount of infected people S in thousands by a new flu variant depends on the time t in days...

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Q: 11. Consider the equation x + y +e# = e dy using implicit differentiation. dx (a) Find (b) Find the ...

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