Consider the following initial value problem y(1) = 1 y'(t) ye2t; t € [1,6]

Q: How fast is the circumference of a circle changing if the radius is changing at the rate of 3 mm/s?

A: Solution

Q: 5. Find H(s) = 19 s+2 1 3s-5 + 7 $5

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Q: 2) A jar contains 4 red balls, 3 green balls, and 5 yellow balls. One ball is chosen at random from…

A: Given: A jar contains 4 red balls, 3 green balls, 5 yellow balls. One ball is chosen random, To…

Q: (D² + 1)y= sec² x csc x

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Q: There are many examples of the Fibonacci sequence in nature. O True False

A: The Fibonacci numbers, normally abbreviated as Fn are a mathematical collection wherein every…

Q: Find both a basis for the row space and a basis for the column space of the given matrix A. 1 1 1 1…

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Q: Theorems Let fox-applied between two toplogical spaces (x,x) and (3T), then the following statements…

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Q: 2 345 6 Let f= 9) and g=(₁ 1 2 3 4 5 6 3612 4 12563 be permutations in S6, written in two-line…

A: As we know that in cyclic notation ,if upper and lower symbol are same we leave that . so f= 3 54 6.…

Q: Exercise 15.2.8 Y 1₁² Find ► Hint dA where D = {(x, y) : x ≥ 0, y ≥ 0, x² + y² ≤ 1}.

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Q: Which of the following statements is/are true about non-Euclidean geometries? I. In non-Euclidean…

A: To find the statements which is/are true about non-Euclidean geometries.

Q: NEED ASAP!! By using laplace transform to solve y’-y=cosht with y(0)=0, what would be the particular…

A: First we will take the Laplace transform of both sides then we will use the initial condition y(0) =…

Q: QUESTION 7 Let G be the interval (2/3, ∞). Let be the operation on G such that, for all x, y = G,…

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Q: 10. The senior class is 55% female, and 32% are females who play a competitive sport. Find the…

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Q: (a) In the downtown section of Vijayawada two sets of one-way streets intersect. The average hourly…

A: To solve (a) In the downtown section of Vijayawada, two sets of one-way streets intersect as shown…

Q: 1 1 23 4 5 6 Let f= 2 3 4 5 6 2563 4 and g = be permutations in S6, written in two-line notation. 1…

A: The organization together with all feasible diversification of N items is referred to as the…

Q: y=-3x+5 -10 -8 -6 -4 -2 10 8 6 4 2 -2 -4 -6 -8 -10 2 4 6 8 10

A: Given :  y =-3x+5

Q: 5.It is known that the data tabulated below can be modeled by the following equation y = (a +Vx)²…

A: Given: y=a+xbx2 To find: Linearizing the equation.

Q: Find the Fourier transform of the given function. 2A -T f(t) ==t+ A, ²4t+ ≤ t ≤ 0; T 2 2A f(t) = -t…

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Q: What is the differential equation corresponding to the general solution y²=Cx³? dy 3x A dx 2y dy 2y…

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Q: 2un + 1 NI n

A: Solution : Ƶ(2u(n)+0.5n)=? Ƶ(u(n))=zz-1     ROC=z>1   Ƶ(n)=∑n=0nz-n=zz-12     ROC=z>1…

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (2-2)² (2-1)(z-0.5)

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Q: What amount was invested at 3% if it earned an interest of P2,300 in 2 years and 3 months?…

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Q: A Fourier transform is another integral transform often used in higher mathematics. The Fourier…

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Q: Find the z-transform of the following equations: a. 2un + n 2 b. cos(3n) + 2 sin(3n)

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Q: k(G) = k'(G) = 8(G).

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Q: Expand the following functions in terms of Legendre 0 if (1) f(x)= x³+r+1 (T)(ii) f(x) =

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Q: Solve the final solution for the differential equation with initial values: y(0) = 2 & y’(0) =6. Use…

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Q: Based on the figure below, approximately how many orders of magnitude bigger is the genome of…

A: Given,A figure showing genome size in log for different genomes.To find: Order of magnitude of the…

Q: Consider the following optimisation problem max f(x, y) = t√x y, subject to tx2 + y ≤ 5 x ≥ 0, y ≥…

A: a) when t=1 , max f(x,y) = xy  subject to x2 + y≤5 , x≥0 , y≥0.   x2 + y≤5  ⇒y≤5-x2 ⇒ f(x,y)≤…

Q: A small generator burns two types of fuel low sulfur and high sulfur to produce electricity. For one…

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Q: problem using determinants with solution

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Q: 4. It is known that the tensile strength of a plastic increases as a function of the time it is…

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Q: 1. Two cars start from the same place and travel in opposite directions, one at the rate of 45km/h,…

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Q: Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

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Q: 2. Consider the following first-order ODE: (a) Solve by hand with Euler's explicit method using h =…

A: Given the differential equation dydx=x-y with the condition y0=1 and step size h=0.4 Solve using…

Q: 1. Consider the curve F(x, y) = 0. Show that if F has continuous second derivatives, then a formula…

A: We will use chain rule of partial derivative  If F is a function of  two independent variables x and…

Q: Find the Fourier transform of the given waveform. f(t) -2 -1 7 1 0 1 2 r(s)

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Q: A set S of vectors in R4 is given. Find a subset of S that forms a basis for the subspace of R4…

A: Basis for the subspace

Q: The time can be the amount of ti case the first value would be 0. Or the time can Jan 10.20 8.6 FEB…

A: To find: Vertical displacement of the given graph.

Q: Setup the iterated double integral that gives the volume of the following solid. Correctly identify…

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Q: 5. The letters in the word AARDVARK are printed on square pieces of cardboa The eight letters are…

A: INTRODUCTION: Conditional probability is the probability of an event A occurring when another event…

Q: (b) Pak Majid sells three grades of eggs A, B and C. The total price of a grade A egg and a grade B…

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Q: 1. Select a theta notation for each of the following functions. Justify your answers. (a) 3n logn +n…

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Q: A box with a square base and open top must have a volume of 62500 cm³. We wish to find the…

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Q: 9. To solve tek ₁ [theat] = 10. Let cos(√2t)]= you may use: n! (s = a)n+¹ II. [teat] = (-1){(f(t)}

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Solve the recurrence relation an+2+an+1-20an = 0, ao 4, a₁ = -11.

A: Given, The recurrence relation is an+2+an+1-20an=0 This relation is to be solved.

Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. (A) cos y sin x =C sin y B…

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Q: x + 2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Initially 56 grams of radioactive substance was present. After 4 hours the mass had decreased by 6%.…

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