| (3x (За? — sin x + 2) dx

Q: 3) Solve the following boundary-value problems. c) y"(x) + 2y(x) = 0; y(0) + y(0) = 0; y(2) + y(2) =…

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Q: Direction: differentiate the following: 5x 4. tan 5. у -sin(6x'-1)

A: 4. Let y=tan5x4 ⇒dydx=ddxtan5x4⇒dydx=sec25x4×ddx5x4⇒dydx=sec25x4×54dxdx⇒dydx=54sec25x4

Q: 4. Let V be a finite-dimensional vector space and let S be a subset of V which spans V. Then S a.…

A: Given that, V be a finite dimensional vector space and S be a subset of V which spans V. We have to…

Q: dz Suppose z is a function of x and y, and tan vy? + x² = z*e®v. Solve for dz and dy

A: The given function is                                  tan y2+x2=zxe6y

Q: 1.) In how many ways can 8 members of board of directors be chosen from 5 juniors and 7 seniors if…

A: HERE GIVEN  TOTAL NO MEMEBER=12 No of Juniors=5 No of seniors=7 No of BODS To be chosen=8

Q: For items 1-5, refer to the problem below. A working senior high school student had a piggy bank…

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Q: 4. If two lines do not intersect, can a third line be drawn perpendicular to them?

A: This is a problem related to intersection of the line. Based on the general formula and concepts we…

Q: Find the solution of the given IVP y" – 6y + 15y = 2 sin(3t), y (0) = -1, y (0) = -4 %3D The Laplace…

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Q: Let R be the region located at the first and fourth quadrants, bounded by y = x² - 1, y-x-1=0 and…

A: Note: According to our guideline i didn't solved more than three subparts. So, please again repost…

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(x,y, z) = 4.x +2y + z subject to r…

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Q: z = xey + yex, Find əz əz дх'ду

A: Given: z=xey+yex To find : ∂z∂x,∂z∂y For ∂z∂x, we have to do the partial differentiation of z with…

Q: tan(4 + 3i)

A: Given that tan (4 + 3i) We have to find the value of tan (4 + 3i) Formulae: sin z = sin (x + iy) =…

Q: Give one indicated root (2√3 - 2i)¹/2 a. 2 cis 330° b. 2 cis 67.5° c. 2 cis 165° d. 2 cis 167.5°

A: We have to solve given problems:

Q: You are asked to solve a nonlinear equation f(x) = 0 on the interval [4, 7] using bisection. Tick…

A: Bisection method is used to find the roots of a function f(x) .   It uses the principle of…

Q: Show that A and B commutes: * 2/3 -1/31 1/5 7/15 -1/5 1/15. 1 1 0. 21 1B =|-3/5 2/5 2 4. 3 %3D -1 ]

A: Given A=112231-124, B=230-13-352515715-15115

Q: (b) Would you be surprised if there were 114 people who have had chickenpox in their childhood?…

A: Given that sample size n = 130, expected people with chickenpox, mu=117 and SD s = 3.45.

Q: Find the Laplace transform: f(t) = t²e³tsint

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Q: 1. Which among the following functions have an inverse? (a) f(x) = 2x2 – 5 (b) g(x) = 3x -8 (c) h(x)…

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Q: x 5√x ³ + 4 dx 3 Lx5

A:

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy)+ log3(x – y)' Do as indicated. 1.…

A: First we change the base if logarithm to e.

Q: dx f(x2²x+10) ² २

A:

Q: In a potato race, 8 potatoes are placed 6 feet apart on a straight line, the first being 6 ft from…

A:

Q: Let f (x, y) = x3 – 3xy + y3. Find all critical points of f and at each critical point, - use the…

A: Critical points using second derivative test