f (t) = -6t?e-3t + 9t

Q: Suppose that the population Pt) of a country satisfies the differential equation P(400 - P) with k c...

A: We have to find the population in the year 2020.

Q: What is the equation of the circle with center on the y-axis, that passes through the origin and the...

A:

Q: website profit. the latest demand equation for your gaming website q=-500x-1100 where q is the num...

A: Given that q=−500x+1100. And given the cost will be $10 per month and 0.70 per log on. First we have...

Q: What is the solution of the initial – value problem = x dx with y(0) = 1. and y'(0) = –2 ?

A: This is a problem of IVP.

Q: Give an example of two equivalence relations R and S on the set A = {1, 2, 3} such that R ∪ S is no...

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Q: y" – 6y' + 15y = 2 sin 3t, y(0) = –1, y(0) = -4 %3D

A: Given differential equation is  y''-6y'+15y=2sin3t,y(0)=-1,y'(0)=-4

Q: (xy² – x – y² + 1)dx = (xy + x – y– 1)dy %3D

A:

Q: dx x = x2 siny dy 3 -(--siny +cosy + Ce¬y/: ANSWER: X =

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Q: y*dx-(ay + y° kty = 0 Let the substitution v=2; y=vx; dy=vdx+ xdv

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Q: T 3. (sin x)y'+ y cos x = x sin x, %3D

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Q: 1. x 10 – 2x6 dx

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Q: 7xy" – y + 10y = 0. (1) Since P(x) = or Q(x) = are not analytic at x = 0, x = is a singular point of...

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Q: f(x+h)-f(x) Find the difference quotient where h 0, for the function below. h f(x) =-5x+1 Simplify y...

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Q: Find the Inverse Laplace Transform of each of the following: 42 1.) 9s-30 9s-8 2.) s2+24s 3s-16 3.) ...

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Q: 8. Using the information provided, complete the actuarial life table and determine the cumulative su...

A: The table is given below

Q: 3. Use Lagrange multipliers to find the extreme values of the function f(r, y, 2) = In(1 + 2²) + In(...

A: To find the extreme values of function  f(x,y,z)=ln(1+x2)+ln(1+y2)+ln(1+z2) subject to constraint x2...

Q: Cassie and her friend Molly played the balloon-pop game at the Belltowr Cassie threw a total of 10 d...

A: Cassie threw 10 darts , out of which 7 popped balloons, therefore the ratio of darts that popped bal...

Q: Evaluate , g(x)dx geometrically for g(x) x + 2,x 0° %3D

A: According to the fundamental theorem of calculus ∫abf(x)dx=F(b)-F(a), where dFdx=f(x). Geometrically...

Q: dx As a salt dissolves in methanol, the number x(t) of grams of the salt in a solution after t secon...

A: Properties of derivative  ddxxn=nxn-1ddxcf(x)=cddxf(x) Properties of integration  ∫1xdx=lnx∫af(x)dx=...

Q: Name the property illustrated. 5(y +2) = 5y + 10 Choose the correct answer below. O A. associative p...

A:

Q: 2. y" + y' - 2y = 0, y(0) = -4, y'(0) = -5

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Q: Q1 : prove 1 2(1–z) 3(1--z) dydxdz = 1

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Q: What is the differential equation of the family of straight lines whose slope and x - intercept are ...

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Q: A 500-pound boat sits on a ramp inclined at 45°. What is the force required to keep the boat from ro...

A: This is a problem of vector calculus.

Q: у" - у' — 2у %3D —4

A: To solve the given ODE. 

Q: Prove that if C, D C R" are disjoint closed convex sets (but C - D is not necessarily closed), then ...

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Q: Suppose that a cup of soup cooled from 90°C to 50°C after 20 minutes in a room whose temperature was...

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Q: 1. Claire wants to invest $10,000 she got as a graduation gift from her family. She has the followin...

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Q: es. She receives a commission of 20% from her own sales and 5% override. During the month of January...

A: Introduction: The word "percentage" was derived from the Latin word "per centum," which means "by th...

Q: Find the Laplace Transform

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Multiply using the distributive property. - 4(2y - 9) - 4(2y - 9) = (Simplify your answer.)

A: Given -42y-9 Here, we have to multiply using the distributive property and simplify the expression.

Q: The shortage of organs for transplant is a continuing problem. At the end of 2000, there were 3536 p...

A: Each element in a matrix has a distinct position, and the row and column numbers are used to indicat...

Q: Perform the indicated operation if possible. 16 8 - 7 15 - 3 7 1 - 1 -7 -9 Select the correct choice...

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Q: A state game commission introduces 60 deer into newly acquired state game lands. The population N of...

A: Given that N=106+2t1+0.05t. Differentiate N=106+2t1+0.05t with respect to t, we get dNdt=ddt106+2t1+...

Q: Identify the matrix A as a square matrix, column matrix, row matrix, or neither and determine the si...

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Q: Let f(x)={4−x        for  0<x≤4 f(x)= 0,        for  4<x<5. ∙∙  Compute the Fourier cosine coeffic...

A: This is a problem of Fourier series.

Q: Find the rank of the matrix 3. 5 9 -3 5 -11-5 -3.

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Q: The eigenvalues of the matrix [A] are } 0.2 --0.56 hon A lpr noultinli

A: In this question, the concept of Eigenvalues is applied. Eigenvalues Eigenvalues are a unique set of...

Q: Which of the following best describes what is a Major Clause? O a. None of the other alternatives. O...

A: Explanation: A clause in a predicate is called major clause if it determines it's predicate iff othe...

Q: Are the integers closed under multiplication? Choose the correct answer below. O No O Yes

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Q: Which of the following statements are always true? (i) Suppose that A and B are n×n matrices. If the...

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Q: Determine whether each of the following assertions is true or false. Justify your claim. A. The set ...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: ewise from the 3 o'clock position (the ray that connects (0,0) and (5,0)) and the indicated a. (4.9,...

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three sub-pa...

Q: Compute the Laplace transform of f (t) = te^−3t directly from the integral definition

A: The Laplace transformation is an integral transformation. When a function is piecewise continuous th...

Q: 6. f(1) =-e" sin (21 + 7 ) 3t -2t

A:

Q: 94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the...

A: Given: At=1361+0.25t-4.52+28, 0≤t≤11 To find: The intervals in which A is increasing and decreasing.

Q: Use matrix inversion to solve the given system of linear equations. (You previously solved this syst...

A:

Q: Show that in S7, the equation a2

A: Given n be an even positive integer.    To prove that An has an element of order greater than n if a...

Q: 0.08 m3 = kg %3D

A: We know that  1m3 = 1000kg  

Q: 15. (a) Calculate e with an error of less than 10-6.

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...