Suppose that the amount of time one spends to complete a survey is exponentially distributed with mean of 20 minutes. What is the probability that a respondent will spend more than 15 minutes completing the survey given that she has already spent 10 minutes answering it?

Q: Q3/ solve Partial Differential Equation a?u 1- дхду ey cos x

A: Integrate partially.

Q: an 34an-1 – 289an-2 for n > 3 with initial conditions aj = 68, az = -1734. an

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Q: 1. Simplify the expressions then evaluate where possible, showing all steps. Express your answer…

A: As per the guidelines I had solved the questions with three sub parts. Thank you.

Q: Find a power series solution of the given linear first order differential equation and determine its…

A: The given differential equation: 1+xy'+y=0 Let y=∑n=0∞anxn be the solution of the differential…

Q: Question 4 Solve the initial value problem: y' -0.03y+6 y(0) = 50 %3D y(t) = %3D

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Q: 4 Find the singular values of [2 2 %3D 1 -

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Q: Consider the curve Cwith parametric equations Sa(t) = t3 – 3t +1 lu(t) = t(t + 1) | lefined for t…

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Q: dy = f(y). Sketch the graph of f(y) versus y, determine the critical (equilibrium) points, and…

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Q: 8. A 200 mg dose of a drug is given to a patient every 12 hours. After 12 hours (right before the…

A: Given that,A 200 mg dose of a drug is given to a patient every 12 hours.After 12 hours, only 30% of…

Q: (g) There are exactly six prime numbers p with the property that x81 = x (mod p) for every integer…

A: 1. For p=2, by Fermat's theorem,         x2-1 = 1 mod 2       => x = 1 mod 2       => x81 =…

Q: There is a line through the origin that divides the region bounded by the parabola v X-axis into two…

A: Given- There is a line through the origin that divides the region bounded by the parabola y = 7x -…

Q: n'+1 Vп+1-уп-1 a) En=1 b) Σ 1 п3+1 п

A:

Q: Problem 3. Given a square matrix A that is diagonalizable. Determine whether the matrix is…

A: Given: A square matrix A.   To determine: Whether the given matrix is diagonalizable.

Q: The door prizes at a dance are ten $10 gift certificates, twenty $20 gift certificates, and five $50…

A: Given that the door prizes at a dance are ten $10 gift certificates, twenty $20 certificates, and…

Q: State the order of the given ordinary differential equation. (1 – x)y" – 9xy' + 5y = cos x Determine…

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Q: Consider the third order Cauchy-Euler equation at³y" +bl²y/" +cty/ + dy = 0. (a) Use a change of…

A: (a) The given differential equation is at3y'''+bt2y''+cty'+dy=0.........(1)

Q: Find the general solution of the differential equation with clear steps.

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Q: Find the area of the region bounded by the curvesr = 2 cos 30 and x = y – 1.

A: The curves given are as follows: r=2cos3θx=y2-1 We know that x=rcos3θ, y=rsin3θ.…

Q: -6an-1 for n > 2 with the initial condition a = -9. an an

A: Given an = -6an-1

Q: Find the extreme values of the function f(x,y) subject to the given constraint.  f(x, y) = 4x + 6y,…

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Q: f(t) = eat sin Bt.

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Q: c) n° n° + 2n is a multiple 3 for all n 2 1.

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Q: y = c,e* + cze*, (-00, 00); y" – y = 0, y(0) = 0, y'(0) = 1

A: Solution

Q: Consider the polar curves C2 :r = 4 cos 0 and C3 : r = 4 sin 0. (a) Determine the slope of the…

A: here we can use simple calculation and formula to solve this question.

Q: A firm faces demand given by the demand function: Price = -4q + 220 and the firm’s total costs are…

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

Q: Find 2025-3 (mod 212). (Enter the least non-negative integer.)

A: To Find: 2025-3(mod 212) and enter the least non-negative integer.

Q: Sally has a sum of $20000 that she invests at 11% compounded monthly. What equal monthly payments…

A: Solution

Q: Let r(t) = (sin(2t), sin(t)) for 0<t<T. Find the area bounded by this curve, rounded off to two…

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Q: Given f(x)=3, determine the value of a for which * + 1) - f(x-1) = a x f(x)

A: Given function isfx=3xfx+1-fx-1=a×fxThe value of a for which the above relation holdsis determined…

Q: Simpson's 1/3 Rule at x = [0," where n = 4 f(x) = eSin x Simpson's 3/8 Rule at x = [0," where n = 5

A: Solution:

Q: a bc If det de f = -4 g hi -- a - 8g 6b - 48h c - 8i then det бе g 6h i

A:

Q: 2 3 4 5 6. f = 1 (i 43 5 2 6) (a) Write the permutation f' as a product of disjoint cycles,…

A: We can calculate the permutation of f7 from right to left then take the LCM of disjoint cycle

Q: The blue whale feeds on krill, a small shrimp-like animal of length 2 to 5 cm. Suppose that the…

A: Given that, the density of krill is ρx=0.70xe-0.0001x                             1 the total number…

Q: List the ordered pairs in the relations on {1,2,3} corresponding to the matrix, [1 0 = 10 1 1 11 1.

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Q: Describe the key differen ce between the binomial distribution and the hypergeome tric distribution.…

A: We want to find true statement.

Q: :Q1Solve the second order differential equation Y " – 5Y' + 9Y = 0

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Q: x' + y = 0 y' + x = 0 x(0) = 0, y(0) = 1.

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Q: (a) Consider the real linear map T: R' - R', expressed as follows: X1 + 2x2 - x3 4x1 + 9x2 - x3 X1 1…

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Q: Question 17 Given A = {–1, 0, 1, 2} and B = {3, 4, 5, 6}. Which of the following is a function from…

A:

Q: 2. A climbing vine is taking over the side of a building. At first the vine only covered 10% of the…

A: Proportionality is the comparison between two numbers. Two numbers can be directly or inversely…

Q: Find f(t). + 8s + 17 f(t)

A: To find Laplace inverse transform.  We'll use the following

Q: Fra) = Sin (2t) Find the 7h taylor Polynomial of

A: Given function is  Fx=∫1xsin2tdt

Q: Question Use Newton's method to approximate the x-coordinate of the point where the graph of 4x- 10x…

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Q: 6. Consider the linear map T: IR? → R3 given below = a +b a. Using the standard bases for the two…

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Q: Investor Dan has $822,000 to invest in bonds. Bond A yields an average of 9.5% and the bond B…

A: Given:Principle = $822,000Rate (A) = 9.5%and rate (B) = 8%

Q: Question 4 Solve the initial value problem: y' = - 0.03y+ 6 y(0) = 50 %3D y(t) = %3D Question 5 3t…

A: Question 4.

Q: Example 3.32. Solve, by Relaxation method, the equations = 50; x + 5y-3z = 18 ; - 2x + 2y + 7z = 19.…

A: The system of equations given is as follows: 9x-2y+z=50x+5y-3z=18-2x+2y+7z=19 The residual from the…

Q: Question 10 Change the Cartesian integral to an equivalent polar integral, and then evaluate. 15 225…

A: Conversion of Cartesian coordinates integral to polar integrals

Q: Set up and simplify (but do not evaluate)/ F. dr, where F(x,y) (x2, xy), andC is the arc of the…

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Q: Problem 9. ) Construct a linear fractional transformation that maps –1, i, 0 to o, 0, -i,…

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