The two vectors a = (-1,2,-4) and b = (2, -4,-8), are not parallel but are orthogonal. Select one: O True O False

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A: We have to find the displacement .

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A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

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Q: bounded by the curve. Find the area y=2x+₁²₁ y=10x-x²

A: Given:  the curve is y=2x+12                               y=10x-x2

Q: 20. Determine B such that 3x + 2y - 7 = 0 is perpendicular to 2x - By + 2 = 0 A. 5 B. 4 C. 3 D. 2

A: Topic = Geometry

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A: Topic:- Laplace transform

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos 0), a>0

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Q: Find the differential equation by eliminating the arbitrary constant/s. 1. y¹= x(2e + c) 2. y = Ae³x…

A: 1. y-1=x2ex+c Note:     Multiple questions are given, we are answer with only one question. If you…

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Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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A: This question can be solved using the concept of matrices and determinants.

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Q: (c) Given a cubic function i) Find the critical point(s). ENTIA ii) Hence, determine the maximum and…

A: Let's solve.

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

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A: We have to find correct option of given integration by dividing limits.

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Q: Use partial fractions to find the power series of the function: ∞ n=0 5æ + 53 (x − 2)(x + 5)

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A: Given three numbers are in the ratio 2:5:8. consider these three numbers are 2x,5x,8x. Also given…

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A: We can find the given vectors.

Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: Evaluate the following integral. R|N 2 L K|N - 6x sin x dx e *** 2 S (Type an exact answer. Use…

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Q: Which proper integral would you use to help determine the convergence/ divergence of the series and…

A: Integral test of convergence:Consider an integer N and a function defined on the unbounded interval…

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Q: Let a = (-4, 5, -2) and 6=(-1,0, 4). Find à x b.

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Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False x+3 = = passes through…

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Q: c) [ 1: Estimate the area under the graph of f(x) = x² - 1 from x = 1 to x = 3 using four…

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Q: In Problems 67-72, find the absolute maximum and minimum, if either exists, for each function on the…

A: See this solution in below

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A: This question is based on application of derivative.

Q: True or False: We have Select one: True False 2 1² x²dx > 2 Si 1 x³ dx 3

A: Given ∫12x2dx>∫12x3dxx3312>x4412233-133>244-14483-13>164-1473>154Multiply 12 on both…

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Q: 4- If w=e³x+4y cos 5z then Wxx + Wyy+Wzz 5- The general solution of y"+4y+3y=0 6- The series=(1+)…

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