dx = 4x +C

Q: Jasica Parker would like to have $75,000 to buy a new car in 6 years. To accumulate $75,000 in 6…

A: Solution :-

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Q: Find the Laplace Transform of cos(2t) + 7sin(2t) s – 14 A s2+2 14 B s2+4 $2 – 4 s+ 14 s²+4 14 D s2+4…

A: Given f(t) = cos(2t) + 7sin(2t)

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A: Laplace transform of the function

Q: Find the Laplace Transform of (i) e3(2cos 5t - 3sin 5t) (ii) e2t cos? t (iii) e**sin 2t cos t

A: Some of the properties of the Laplace transform Leatf(t)=F(s-a)Lsinat=as2+a2Lcosat=ss2+a2

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Q: 3ydx What is the general solution to the differential equation 3dy + = y*(2x*)dx ?

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Q: 1. (50 points total) Let -2 -3 -1 -3 -2 -1 1 3 B = 3 1 -3 Perform all computations by hand. (a)…

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Q: Which of the following is the general solution to the differential equation (2х + 3у — 1)dx + (2х +…

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Q: 1: Consider the following function. h(u, v) = u³ + 30uv – 15v2 (a) Find the critical points of h.…

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Q: Q7 The line segment x = p- y, 0 <y < p, is revolved about the y-axis to generate the cone as shown…

A: We have to find the surface area about y -axis.

Q: What is the general solution to the differential equation dy + ydx = 2xy²e*dx ? x³y + 4x?e* = C 1 =…

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Q: T Consider a linear model with decislon boundary w" o +63D0 for a 3D feature space, where" stands…

A: w = (1, 2, 3)T x = (1, -1, -1)T b = 2. So, wTx + b = (1, 2, 3)(1, -1, -1)T + 2…

Q: Find the Laplace transform of f(t) = 6e +e* + 5t² -9 16 4 F(s) = - +- S-5 9. A + S-4 5 F(s) = - S+6…

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Q: Question 3 Find the Laplace Transform of e 2t cos3t + 5e 2t sin3t 15 + A s2+9 s2+9 s+17 B (s+2)²+9…

A: laplace transform

Q: se appropriate algebra and Theore 1 3s - 2

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Q: 5. Evaluate z dV where E is the region bounded below by r2 +y² + z² = 4 and above %3D by r² + y² +…

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Q: Verify the given differential equation is exact; then solve it. y(2xy + 1)dx + x(1 + 2xy- x'y³)dy =…

A: Given differential equation is y2xy+1dx+x1+2xy−x3y3dy=0.......1. We have to check whether the given…

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Q: Let p and q be the propositions "It is rainy" and "We go to the movies," respectively. Which of the…

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Q: Given the following, determine the solution vector using least norm solution. 2 -1 1 3 3 0 -2 5 1 -2…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: What could be the general solution to the differential equation dx - xcot(2y) = x³csc(2y) ? dy 1 =…

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Q: Fill in the blanks in the truth table for the compound proposition (A (p+ q) → p, and determine…

A: Introduction: In mathematics, a tautology is a compound assertion that always yields truth value T.…

Q: The local theater has an area of 2,121 square feet. At the last banquet, the fire department…

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Q: Solve the following ODE using Laplace transforms, a"-8x' +7x =t5(t-4)where r(0) = 0 and a' (0) 16.…

A: The given problem is to solve the given ordinary differential equation using Laplace transform with…

Q: 1 2 3 4 5 6 y 0.5 2.5 2.0 4.0 3.5 6.0 a. Fit a linear regression equation b. Compute for r

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Q: Consider the following function. f(x, y) = [v + 2) In x] – xe2y – x(v – 1)3 (a) Find fa(1, 0) . (b)…

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Q: 1, 0<x <1 Find the Fourier sine series and cosine series of f(x)={ 0, 1<x <3 . - 1, 3<x <4

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Q: Find all possible homomorphisms for Z4 Zg and determine the kernel of each of these homomorphisms.

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Q: Write the system of inequalities that describe the triangular region. АB: ВС: СА: Type the…

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Q: Question 3: Non-homogenous Linear ODE. Find the exact solutions of the following problems: • y" + 3y…

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Q: QUESTION 4 One way of organizing a form is to group similar fields into field sets. O True O False

A: One way of organizing a form is to group similar fields into field sets.

Q: Find the area bounded by the graphs of f(x)=x+2, g(x)=3x²+5 , x=-1 and x=1.

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Q: Question 13 Find the Laplace Transform of h(t) = t? sin(2t) 4s2 – 3 A H(s) (s2-4)3 3s2 -4 B H (s) =…

A: For the solution follow the next steps.

Q: An airline offers coach and first-class tickets. For the airline to be profitable, it must sell a…

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Q: 2x 1- if 0<x<a/2 Find the Fourier series of f(x)= f(x+7)= f(x). if a/2<x < T

A: The given problem is to find the Fourier series expansion of the given periodic function with period…

Q: Laplace A H(s) %3D s2 –9 s2+9 B H (s) s2-9 s2+4 3 3 C H(s) + s2-4 s2+4 6. H(s) + s2+4 s2-4 2.

A: Given function is h(t) = 3sinh(2t) + 3sin(2t)

Q: Find the Laplace Transform f(t) = sin(2t) cos (2t) A F (s) = 82+ 16 F(s) = 2+ 16 2 F(s) = 82– 16 F…

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Q: Find the sum of the x-intercept, y-intercept, and z-intercept of any tangent plane to the surface…

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Q: .If a v x = b v x and a v x' = b v x', then prove that a = b.

A: boolean

Q: 6s 3 Find the Inverse Laplace Transform of + s²+25 s2+ 25 6 -cos3t – -sin5t 5 3 A B 3cos5t+ - sin3t…

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Q: Consider the following IVP: y"-3y'+2y = e*; y(0) = 0, y'(0) = 0 Find the general solution.

A: We solve the given DE  y"-3y'+2y=e3t.......(1) y(0)=y'(0)=0......(2)

Q: 3. Use Lagrange interpolating polynomial of degree 4 to estimate f(1.9). 0.5 1.2 1.7 2.1 3.0 f(x) 1…

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Q: 2.x if 0<x<T/2 2. Find the Fourier series of f(x)= f(x+x)= f(x). if a/2<x <T

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