Evaluate the double integral over the given region. 4x sin xy dA, R: 0sxST, Osys1 R O A. 4x O B. 4x -4 O C. I

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Q: In what instance does the Chain Rule of differentiation applicable? Explain briefly.

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Q: 4. § 12×+1dx =. 5. S =dx= -4 %3D . S-3x-1dx vie 6.

A: LetI=∫ 12x+1dxI=∫ 12x.121dxI=∫ 12x· 12dxTake the constant outI=12·∫ 12xdxWe know that…

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, dx *+ y = xy/3.

A: Differential equation

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Q: If you can, please draw the grafic of this exercise

A: This question can be solved using the concept of drawing parametric curves.

Q: in(2x) – 5 cos(x) = 0 for all solutions 0 < a < 2n .68

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Q: Use the substitution x = 3 sin t to evaluate the integral f V9 – x² dx. | Note: Use C for an…

A: Given; I=∫9-x2dx   ...1   Use the trigonometric identity; 1). sin2x+cos2x=1 2). cos2x=2cos2x-1 And…

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Q: In Exercises, the given vectors form a basis for a subspace w of R' or R'. Apply the Gram-Schmidt…

A: We have to obtain an orthogonal basis for w.

Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. a. te-3t +…

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Q: (in) S 15:22 15-z dx. u = (M S 15 - TV9 – a² dx. u= (vi) S dr. u = 22+15

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Q: 1. Which of the following definite integrals could be used to calculate the total area bounded by…

A: This question is related to definite integration, we will solve it using given information.

Q: Find the product of the two matrices. Give me two answers at each number letter for the A.B and B.A

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use the form of the definition of the integral given in this theorem to evaluate the integral.

A: Topic:- definite integration

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Q: Q3: A. By power series, prove that: d Cosx = -sinx dx B. Find the value of x for which Inx + (Inx)²…

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Q: Question Find the lower sum for f(x) = 5- on the interval [1,5] using 4 rectangles. Submit your…

A: Given f(x)=5-5x2  interval [1,5]Number of rectangle =4

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: Given H=-29.53+1.073t2-0.2233t2 logt Here H  is head circumference Na t is the age function now,…

Q: Find all the derivatives of the following functions f (x) = x° + 4x* + 3x° – x² + 6 - 1. 1 12 g(x) =…

A: Let's find.

Q: Evaluate the following integrals. 29 – 49 dy 2+ 49 а.

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Q: Basic Catalus 1. f(x)- f(xth) = 5 (x +h) - Sx - 3 lim 5(x+h)-3- [5x-3] = lim 56 +5h -3 - 5% +½ h-70…

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Q: Show clear and detailed solutions: Suppose that z is a function of x and y, and tan Vy? + x² = z*e®y…

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Q: Find the derivative of the function at P, in the direction of A. f(x.y.z) = xy + yz + zx, Po(1, -…

A: Given :   f(x, y, z)=xy+yz+zx P(1,-1,3)

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Q: Problem #1: Differentiatef (x ) = [(4 x4 - 5 )(3 x2-9 x -5 ) ]3 and solve f (2). Solution: Reason:

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Q: 4. f(t) = teatcosbt 5. f(t) = 7t + 6et – 2e-t -10

A: 4) f(t)=teatcosbt 5) f(t)=7t+6et-2e-t-10.

Q: LDE with Variable Coefficients d²y + 6(x² + x) sin x d?y 6x2 sin x+ 6y sin x – 6 sin x- + sin x- dx2…

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Q: V9 – x² x2

A: Given: I=∫9-x2x2dx   ...1   As we know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: Given the demand function D(p)=150/p Find the Elasticity of Demand at a price of $38

A: Given, Given the demand function Q=150/p At p=38 Q=150/38 Q=75/19 We know that price Elasticity of…