14. State whether the following pairs of planes intersect. If the planes intersect, determine the parametric equations of their line of intersection. Πε: x-y+z-2=0 and 77₂2: 2x+y+z-4=0

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A: Solution is given below

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A: Solution

Q: 3- Find the derivative of sinx +x/2+cos x.

A: A detailed solution is given below.

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A: This question is related to differentiation, We will solve it using given information.

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A: We will find the value of x in this question.

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A: This is a problem related to integral of the function. Based on the general formula and concept we…

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Q: 12. A plane 77₂ intersects 7₁: 4x-2y+7z-3-0 at right angles. Two points lie on 77₂: A (3,2,0) and B…

A: Given equation of planes π1 ; 4x-2y+7z-3=0points  A( 3, 2, 0 )  and  B ( 2 , -2 , 1)  lies on  the…

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A: Here we have to check the convergence of given sequence

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A: Using substitution evaluate integral

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A: This question can be solved using the concept of differential equation.

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Q: 20-21. What is the area of the region between the graphs of y=-x² and y = -x? A) B) D)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: Correct option (c)

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Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x

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Q: An area is bounded by x^2 = 8y, y = 3, and the y-axis. This area is located in the first quadrant.…

A: An area is bounded by x2=8y, y=3, and the y‐axis. This area is located in the first quadrant.To…

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 21 -1 3 12₁ +1 2 120…

A: Given  A= 012-123204 We need to find the inverse of Matrix A using Gauss-Jordan eliminations.

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A: Explanation of the answer is as follows

Q: A. Find the determonant of the matrix A 2 1 -21 -1 -2 -1 4 3 132 2 1 1 2 2-31 ܝܪ ܠܕ ܬ ܨܐ 1

A: To find the determinant of the matrix A=121-2-1-2-142132-212-3.

Q: 16 + 3 the following matrices festSIAM #71 47 purन

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Q: 1. Review the basic concepts of Derivative of a function. 2. Determine the derivative of each…

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…