2. Show that for any x, y e C" , det(1, +xy')=1+ y°x. Use this conclusion to compute the determinant 1+x,y, ху, ... 1+ x,y2 ... 1+x,y,| ...

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

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Q: 1) If A = Find:- a) B2 5 -1-2 4 (2) -1 -2 and B = 3 b) determinant A c) Adjoint B d) A-¹

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Q: Ixe A) e¯(1 − x) + C el-r 1-x B) -I dx = +C x C) -e (x + 1) + C D) −æe¯ª + C E) e(x + 1) + C

A: Topic = Integration

Q: 2. Find the determinant and invers a) -3 7 9 1 3 4 b) 1 9 3.

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Q: Evaluate the following determinants and negative of determinants of order two: (a) (1) 3 4 5 (ii) 3…

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Q: sin x COS X [ COS X - sin x

A: Answer and explanation is given below..

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A: We know that the value of a determinant with any two identical rows or any two identical columns is…

Q: Q1/ The Volume of box that determinate by A=(-i-3k) , B= (-4j+2i-3k) and C=(8i-3j+2k) ?will be 23…

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Q: Prove Boolean Equation:  XY+X(Y+Z)+Y(Y+Z) = Y+XZ

A: We shall solve this problem using the TRUTH TABLE as shown below.The truth table for the Left-hand…

Q: a2u a2u 2y дхду a²u )Find du where ax - - axây' ay? u = x3 - 2x2 + 2y3 – 6xy + y ax2

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Q: Compute the determinants using cofactor expansion along any row or column that seems convenient

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Q: 2а 2b b - c 2b 2а а+c| %3D-2(а — b)?(а + b) а +b a+ b а

A: This is a determinant problem

Q: II. a. Find the area of the quadrilateral whose vertices are G4).-4).8) using determinant. ,29 and…

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Q: ulo,3) = 1+ y 1) u'xg U(x, o) = 1+x 2

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Q: Use a property of determinants to show that A and A' have the same characteristic polynomial. .....…

A: det AT = det A

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A: Concept: The Coefficient of determination is denoted by r2 and is obtained by the ratio of the…

Q: Let g(x, y) = 3.2³-6-2²-5.y2 +1. a. ag Show/hide

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Q: Find the Jacobian determinant to the test the existence of functional dependence between these three…

A: We have to find the Jacobian determinant of the functions Y1, Y2 and Y3. Here, these are the…

Q: Q1: If w-f(z)=z'-z²+2z+2 find u and y and calculate the value of f at z-1-21. V.

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Q: Consider that the relation between the cost of production, the lot of size production and the number…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

Q: 1. Let f(x) = 4x5 - 4x³ + 2x² + 3x - 1. Then use Horner's. method to

A: As you post multiple questions according to guidelines I only solve the first problem . Please post…

Q: P5. Establish Ak and find its determinant for for b b for b = (1, 1). Solve A100 x = b X 32 4-[83] A…

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Q: 7) Show that y = e", y = e", y = x and y r? are linearly indepent functions %3D Hint: Use the…

A: The solution is given as

Q: cos no sin ne - sin no cos no 4 -1 5 -4 -2 1 -3 1 -5 2 2 -1 3.

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Q: Let-[:] and v-[³] u= v= Compute the area of the parallelogram determined by u, v, u + v, and 0, and…

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Q: 2. State the leading coefficient, degree, and symmetry. [K/U 6] b) y= e a) y=3x-4x² + 2 -6x c) d)…

A: Given: a) y=3x4-4x2+2Leading coefficient=3, degree=4 and symmetry=y-axis

Q: 3. [2.2-Q18] Evaluate the determinant, given that b с e f h i la d 9 = +d b+e -d 9 -e h -6. c+f - f…

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Q: Q4. Simplify the following expression: 3-5 x 39 Click on image to enlarge if needed 12 81 243 324

A: To evaluate :- 3-5 * 39

Q: If x2 z2 + y² + xz3 = 3, then dz at the point (1, 1, 1) is: O b. Ос. - 3 d. - 3 Ое. f.

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Q: A = 4 2 2 5 2. N 23 1

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Q: 3. у3 Cјсos2х+c,sin2x

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Q: -1 -6 O 10 -4 3 A = 4 -5 -11 1 -8 det A = Ex: 5 :

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