Find the derivative of the function. esin r In(1+2v)dv CoS z

Q: CS y4y = 0, y(0) = 10. Note: y = y(x) and y dy dx In the power series solution of the above IVP find…

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Q: 3. Let X be a topological space and let f: X→ Sn a continuous map to the n-sphere. Prove the…

A: Given That : Let X be a topological space and f:X→Sn a continuous map to the n-sphere . Prove That :…

Q: Determine if the system below is memoryless, time-invariant, linear, causal, and/or dynamic or…

A: Given : System : yn = xn + 1 + xn + 2   To determine : The nature of the given system.

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Q: What are the right three digits of 3402? Hint. Use Euler's theorem. What is o(1000)?

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Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 1 V'(t) (L/min) 4…

A: From given data table we have              x0 = 1 , x1=4, x2=7 , x3 =10,  x4 =13 , x5=16, x6=19…

Q: {e-3t+ et cos 4t}

A: Evaluate Laplace transform:  Le-3t+etcos4t

Q: (2) (b) (c) Use the Euclidean algorithm to determine the gcd of 85 Write down all the divisors of 85…

A: Let the given numbers are a = 85 and b = 135 (a)    From Euclidean algorithm.…

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Q: K Let A = 90 01 Find 4A + 2B. 4A+2B= and B= -9 2-6

A: Solution :-     The given matrix are                                                           A =…

Q: Consumers' Surplus The demand function for a certain brand of mattress is given by P = 400e-0.08x…

A: Given the demand function for a certain brand of mattress is given by…

Q: Identify one point at which the gradient of the function is 5i + 5j. (x, y) f(x, y) = = -8x² - 7y² +…

A: The gradient of the function

Q: Use Green's Theorem to evaluate the line integral § 2y² dx + 3x² dy, where C is the boundary of the…

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Q: Suppose that A = 00 (a) Eigenvector with respect to the smallest eigenvalue: v₁ = = 0 0 1 0 where ₁…

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Q: Determine the height and radius of a cone with a slope L whose contents are as large as possible.

A: The slope of the cone is L

Q: Determine whether the set S spans R³. If the set does not span R³, then give a geometric description…

A: Subspace which spans R^3

Q: Let be a homomorphism f : R3 → R3 defined by the following matrix in a certain base B of R3.…

A: Eigenvector: A non-zero vector x such that it satisfies the matrix equation Ax=λx, for a square…

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Q: -4x+12 2 x+7 (b) f(-7) decimal.) ecimal.) lecimal.) ecimal.) if xs-6 if -6<x<2, find the following.…

A: L

Q: Question 2 a- Given the ellipse+ a b² normal to the curve in a right-hand sense. Hint: write the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q 2. Use Laplace Transforms to find the solution of the differential equation d'y dy - − 6y = e²,…

A: Solution of the differential equation using Laplace transformation

Q: For the matrix below: [1] [2] [3] [1] 347 [2] 682 [3.] 4 39 What is A[-c(1,3),]? Choose one from…

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Q: Find the values of 0 if (3 + 2i sin 0)/ (1 – 2i sin ) is purely real or purely imaginary.

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Q: N How many solutions are there to the equation X₁+X2+X3+X4+X5+X6=41, where each x; is a positive…

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Q: 1 -6:0 2 -4 2 -1 2. Find the eigenvalues and eigenvectors for the matrix A = 5 -5

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Q: u v If (x + iy)³ = u + iv, then show that + = (x² - y²). - X y ---

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Q: Use Rational Theorem and synthetic division to find all zeros of a polynomial function. P(x) =…

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Q: Determine whether the polar conics below are circles, ellipses, parabolas or hyperbolas. What is the…

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Q: 2 a- Question 6 Given z = xy² - 2x'y, write an equation for the upward normal to the surface. b-…

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Q: (d) Let a € [0,1]. Then the set T = {ƒ¤ S\ƒ(a) = 0) is a subring such that fg, gfE T for all ƒE T…

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Q: Evaluate - III, ³ 3xz dV where E = {(x, y, z) | 1 ≤ x ≤ 4, x ≤ y ≤ 2x, 0 ≤ z ≤ x + 3y}

A: The given problem is to evaluate the given triple integral over the given region E.

Q: 2 Find the length of the curve y = 3/2 from x = 0 to x = 4.

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Q: A simple economy consists of two Industries: agriculture and manufacturing. The production of 1 unit…

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Q: Complete the following table. Population Growth Rate, k Doubling Time, T 2.7% per year Country A…

A: A=Pert where P =starting population at time t=0, t=years, r= interest rate ( in decimal) e =about…

Q: Question 1. A waveform is periodic with period 2π and over one cycle is defined by 6 H 0 -7 _f(t)…

A: The given problem is to find the complex Fourier series representation of the given periodic…

Q: 15. Find the work done in moving a particle in a force field given by F=(xy.-5z,2x) along the curve…

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Q: A franchise of a chain of Mexican restaurants wants to determine the best location to attract…

A: There are three x and y coordinates are given as the location of the places.  Places x-coordinate…

Q: A2/PC 5.8 HW Problems: Applications of Quadratics. #6 has some formatting issues: 1) 1) The h(t)…

A: Given: t (time) H (Height) 0 5 0.5 13.5 1 19 1.5 21.5 2 21 2.5 17.5 3 11 3.5 1.5…

Q: Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates, B D If…

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Q: Solve the initial value problem below using the method of Laplace transforms. w" - 4w' + 4w 16t+20,…

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Q: May i please request a hand written solution.

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Q: F = − 3xyi + 5yj + 4k is the velocitiy field of a fluid flowing through a region in space. Find the…

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Q: Evaluate r(u, v) N₂² , 0 ≤ u ≤ 1, 0 ≤ v ≤ π with upward orientation. = F. ds, where = and S is the…

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Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

A: Given That : A=0-30-300003 , ft=e6t3sin3t9t To Find : Use an undetermined coefficient to find the…

Q: Find all solutions z to the equation exp(iz) = −1+i.

A: Note:  ln(α+iβ)=ln(α2+β2) +i( Arg(α+iβ)+2kπ), k∈ℤ, where Arg denotes principal argument.

Q: Evaluate for the given

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Q: Problem 4. know about If the power series en x" has radius of convergence 3, what do we n=1 (c) Σ en…

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Q: 4. Numerical Methods. Using 4th Order Runge-Kutta method and a step value of 0.2, determine the…

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Q: If (x + iy)³ = u + iv, then show that И V - | < + X y = (x² - y²).

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Q: Use the multiplication principle to solve. An auto manufacturer produces 9 models, each available in…

A: An auto manufacturer produces 9 models, each available in 5 different colors, with 7 different…