2. √ (e²x +e-2x) S 2 dx 1/

Q: dy at the point (1,2). dx If x + xy + y =7, find the value of

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

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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: In a certain city district the need for money to buy drugs is stated as the: reason for 75% of all…

A: Solution: Let X be the number of thefts resulted from the need for money to buy drugs and n be the…

Q: Va2–x2 ху(х + у)dydx

A: To evaluate the given double integral.

Q: 4. In a rhombus WXYZ, WXY = 108°. Find () XY, (ii) XỸZ, (iii) XÂWY. %3D

A: Answer: Given W X^ Y =108° →(1) In a rhombus the diagonals bisect the angle at the vertices→(2) The…

Q: (For Bacteriologists). In one of your Basic Calculus sessions, a top of the class Grade- 12 student…

A: Hair we have to find out the value of Y for the different values of T

Q: 3. The following data about the number of boyfriends/girlfriends of 40 students have had were…

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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: 2. Eigenvalue Problem with first derivative in linear operator. Find the eigenvalues and…

A: Consider the given equation and put y” = m2  and y’ = m  m2 +4m +λ=0 m = -2±4-λ here three condition…

Q: Determine whether y 3 sin 2x + e-a is a solution to the differential equation y" + 4y = 5e

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Q: Let f : R" → R be defined by f(x1,x2,..., xn) = x1x2··..xn on the cube ...x [0, 1] (i.e. for 0 < x1…

A: Evaluate ∫01∫01⋯∫01fx1, x2, ..., xndx1dx2⋯dxn ∫01∫01⋯∫01fx1, x2, ...,…

Q: 2.5 1 –dx 1+ sin x – cosx COS X 1

A: Solution

Q: y = Ax2 + Be-* Find the differential equation by eliminating the arbitrary constants. *

A: Given equation is  y= Ax2+Be-x  We have to find a differential equation by eliminating arbitrary…

Q: (√x² + y² − 2) dx + √√√x² + y² − 1) dy = 0

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Q: Suppose that C is the curve of interesection between the plane z = x and the cylinder x² + y? be the…

A: Consider the given function. z=x and x2+y2=1 As, the function S be the interior of this ellipse…

Q: 1.) The number of unhealthy days in selected cities are given below. Construct a Frequency…

A: For the given data, we need to construct a frequency  distribution table with classes of "7" and a…

Q: Integration by U- Substitution S²2x². √ ول 2x²= √ 1 + 16x² dz

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Q: 6: -9 5 -18 Find S and D such that A = SDS-¹. Let A = S = 12 -5 21 -11 6 -21 100 D= = 00 1 0 3 تن 0…

A: This equation is a form of diagonalization.In order to find S and D following steps are to be…

Q: Find the singular values σι > σε of 01 = 02 Find unit vectors ₁ and 2 such that || Av₁|| = 0₁ and ||…

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Q: Let = = -0-0 and let W the subspace of R4 spanned by u and v. Find a basis of W, the orthogonal…

A: Define the problem Given that Let W be the subspace of R4 spanned by  and

Q: - 03. Evaluate the following integral: (1 – x - 4x + 2x)dx -2

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Q: -(1 + 4xy– 4x²y)dx + (x2 – x³ )dy = 0; when x 2, y = %3D %3D

A: Homogenous linear differential equation: dydx+p(x)y=q(x) Here p(x), q(x) are functions of x. Find…

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: Find the projection of 7 = proje (v) = A 7 onto the line of R³ given by the parametric equation l =…

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

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Q: x3 + 3x2 - 2x - 17 dx 29. x - 2

A: topic - indefinite integral