Example 15. Given the function { if x <1 3 – ba?, if x > 1, ax + 1, f(x) = find the real constants a and b such that the function f is continuous and differentiable at x = 1.

Q: Examples of how linear programming can help managers make better decisions Give detailed examples…

A: examples of how linear programming can help managers make better decisions ans- it is known that…

Q: (0, (1/n, if x = m/n in lowest terms, n>0. if x is irrational or 0 E. Let f(x)= (a) Show that f is…

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Q: I Let y(t) be the continuously differentiable solution of the initial-value problem y"(t) + 9y(t) =…

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Q: The critical points of fr(x.y) x +2y-4y subject to the x + y 9 is (0, ±1), (±2,1) (0, ±2), ( ±V3,2)…

A: Given function is fx,y=x2+2y2−4y and x2+y2=9. We have to find the critical point of the function…

Q: for the multiplier effect. If government spending increases by 168, determine the change in…

A: We have to find total differential.

Q: . A depot is located at the intersection of an east-west railroad and a north-south highway. Two…

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Q: II. Evaluate the following integrals: 4 1 dx ½2x+ 7 2 1 4. 5. 6. 4-5x -dx-

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Q: Applications of Differential Equations of Second Order The differential equation satisfied by a beam…

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Q: The region R is bounded by the graphs of y + 2x = 2 , y = 0, and x = 0. Find the volume of the solid…

A: The given problem is to find the volume of the solid under the given graph z=2-2x-y over the given…

Q: x(4) = v(4) = a(4) = 3.195 1.856 -14.53 %3D The particle is moving to the ( because The velocity of…

A: Given: x4=3.195, v4=1.856 and a4=-14.53.   To select appropriate options: The particle is moving to…

Q: sina cosa sin(a + 8) Without expanding, evaluate the determinant sin B cos B sin(ß+ 8) sin(y +8)…

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Q: Consider the initial value problem y' = 2y°, y(0) = Yo- For what value(s) of yo will the solution…

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Q: Evaluate n 2 dA, where D is the shaded part inside the semicircle of radius 2 in the figure. y = 4 -…

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Q: -4지 (2) %3D y(e) %3D

A: The given differential equation is y'=-4xy,y(2)=3 dydx=-4xyydy=-4xdx integrating both sides

Q: 9. Fill in the blanks An animal population N(t) is modeled by the differential equation = 0.00005N(N…

A: For the solution of the problem follow the next step.

Q: Consider the space P2 and consider the vectors B ={ 1 + 2t +2t2, 3+5t +3t2,-2-3t} and C = {1,t,t2}.…

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Q: Problem No.4 If 2 1 3 show that A - 2A? - 9A = 0 but A? - 2A - 9I# 0 A= 1 -1 2 1 2 1

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Q: Fill in the missing limits of integration of the following double integral.. f(x.y) dA = [ [f(x.y)…

A: given curves  y2=x and y=12x also given the intersection point of the curves A4,2 claim- fill in the…

Q: The integral equation (x) = 1+(cos? x)¢(1)dt has (a) no solution (b) unique solution (d) infinitely…

A: integral equation

Q: Explain and show if the function f(2) = |2|² + 2z is analytic.

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Q: TAKE NOTE: KINDLY WRITE IT DOWN IN A WHITE PAPER AND USE THE TEMPLATE BELOW Use the provided…

A: Plot y=x2-2 take set of values as follows x y=x2-2 0 -2 1 -1 2 2 -1 -1 -2 2 the…

Q: Evaluate the sum k=0 by following these three steps: -1 Differentiate the Maclaurin series of (1 –…

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Q: Let the matrix below act on C2. Find the eigenvalues and a basis for each eigenspace in C2 3 - 3 3 3

A: The given problem is to find eigen values and corresponding eigen spaces of the given 2*2 matrix.…

Q: 10. Fill in the blanks A population of a certain rare species of tigers is modeled by the…

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Q: H.W Which of the following vectors is a unit normal to the surface cos(r)yz = -1 at (T,1,1)? 1 (a)…

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Q: r = 2 + sine * circle rose inner loop cardioid dimpled convex spiral lemniscate

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Q: (d) f"(t) – 4f(t) = sin 2t where f(0) = 1 and f'(0) = -2 Taking Laplace transforms of both sides of…

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Q: 2i n. 19. Which of the following definite integrals is equivalent to the Riemann sum lim 2- - dx C)…

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Q: Find the first file terms of the following sequence bn=(-1) n(4n-4)

A: To determine: first five terms. Given: bn=(-1)n(4n-4)

Q: What is the domain and range of the function in the graph? t (time) -1 I 2 3 4 5 6 7 8 -2 -3- -4 -5…

A: domain is 0≤t≤2

Q: . The voltage V and the current i at a distance x from the sending end of the transmission line…

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Q: 2. Find the order of growth of the following entire functions: (a) p(z) where p is a polynomial. (b)…

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Q: (1, 2), (2, 3), (6, 0) are linearly independent

A: If one of the vector can be  written as the linear combination of remains vectors then these are…

Q: Solve the differential equation + cos(x+ y)+2x]dx+[xe' +cos(x+ y)-1]dy = 0

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Q: Question 2 Find the number of vertices and the number of faces of a 12-gonal pyramid. Present your…

A: Find the number of vertices and number of faces of a 12-gonal pyramid .

Q: If the F test leads us to reject the null hypothesis, we must then conclude that the two population…

A: we know that we can use F test for testing of equality of two standard deviations.

Q: Problem No.2 B= 1 3 5 Let A= 1 -1 and -1 1 a) Find the product AB b) Show that A = 4A 3 5 1

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Q: Let G be a group. Show that for all a,b,c G, (acb-1)-1 = bc-la.

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Q: 6. Fill in the blanks Let y(x) be the solution of the initial value problem: y" = 16, y(0)=1 and…

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Q: Find the solution. d3x d?x d³x dx + 2 =0 dr3 dr? dt

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Q: 2. J T(x+1)((tan-1x)+9) 4. Zin10 log10 dx

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Q: (10) Consider a Markov chain with transition matrix a C d a /0 1/2 0 1/2) b1 P = C 1 d \o 1 Identify…

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Q: 1. Consider the initial value problem, 2y 3y2 1<t<2, (la) | y(1) = 1. (1b) The exact solution to (1)…

A: The complete solution is in given below

Q: Find the laplace transform of f(t)=(sin t-cos t)^2

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Q: Fill in the blanks Let y(x) be the solution of the initial value problem: y" = 16, y(0)=1 and…

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Q: Q1: Find the inverse Laplace for the following functions S 4 (a) F(s) (b)F(s) L2s2 +n²n² s2 -25-3

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Q: 2. Fill in the blanks Let y(x) be the solution of the initial value problem: y" – 4y' + 4y = 0, y(0)…

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Q: If a < b, then [a,b] CR does not have con- tent 0. In fact, if U1,. . .,Un) is a finite cover of…

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Q: Find the solution. dy - +y= dx 1 1+e* A y = ce*+e*In (1+e*) B y = ce¯ - e -*In(1-e*) (© y =…

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Two Canadian bicyclists are training for the Summer Olympics. On their initial locations, one of…

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