If the determinant of a 4 x 4 matrix A is det(A) = 7, and the matrix B is obtained from A by multiplying the first column by 8, then det(B) =

Q: onti at t=2 & cx) = 6 r X <2 メー 3メ+2 /25メ<3 is fis wnti at

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Q: Solve by D operator method dx2 d'y 20 dx +y = x2e3*.

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A: This is a problem of curve tracing in polar form.

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A: Solution

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Q: öf parameter 2. dx2 = e* sin | %3D 3. Solve the Cauchy-Euler equation x dx dy + 4x dx 2 d?y + 2y =…

A: 3) We have given a Cauchy - Euler equation ,  x2d2ydx2  + 4xdydx + 2y = ex Let , x = et ⇒ t = log x…

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Q: Find the area of the shaded region. The image is not to scal y = y= Consider c=64. Enter the exact…

A: Area bounded by the region

Q: H. What scale is Used if a bine 81 mm fence G3 m fang? fay epreenți पंपम्कैय विषे

A: The ratio of the length in a drawing (or model) to the length on the actual thing is called scale.…

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Q: Find the volume of the curve r = 2+ 3sinθ for 0 ≤ θ ≤ π rotated about a. x - axis b. y - axis

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Q: 50 107 36 A = 25 54 20 31 66 21

A: This is a problem from linear transformation.

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Q: Example 6.10. Assuming that the following values of y belong to a polynomial of degree 4, compute…

A: Given values of y are x 0 1 2 3 4 5 6 7 y 1 -1 1 -1 1                Let the value for x=5,…

Q: Assessment 3 Directions: Decide whether each of the following is a proposition or not a proposition.…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

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A: The given polynomial is ex=8x8+7x7+6x6+5x5+4x4+3x3+4x4+3x3+2x2+x

Q: Consider the polar curves C2:r=4 cos e and C3 :r = 4 sin 0. (a) Determine the slope of the tangent…

A: We will find point of intersection. Derive slope of tangent for.polar curve and then substitute…

Q: 1. Solve by D operator method d?y – 2y+y = x²e 3x dy dx2 dx 2. Solve hy method

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Q: A consumer can spend £1280 on two goods x and y, costing £12 and £16 per unit respectively. His…

A: This is a problem of optimization.

Q: 4) LetXbe any set with the discrete topology. Let Y be any subset of X. Prove that ô( Y ) =Ø.

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Q: Prove the following statement using element proof: 1. For any four sets A, B, C, and D, if C ⊆ (D ∪…

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Q: ust squares estimators (LSES) of the parameters in the simple linear regression model. imators of Bo…

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Q: Using integration by part, solve x3 In x dx

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Q: IExample 6.9. One entry in the following table is incorrect and y is a cubic polynomial in x. Use…

A: The problem can be solved by making difference table.

Q: 3. f(x) = 4х+5 %3D 9-3х A. x =-1 %3D В. х 3D0 C. x = 3

A: Ques (3) We need to check the continuity and differentiability of f(x)=4x+59-3x at the three given…

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Q: B) Find for the Implicit function: x2 - sin(xy) + y? = 5xy

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Q: = e* sin dx2 dx dy + 4x dx 3. Solve the Cauchy-Euler equation x 2 d?y + 2y e*. 4. Evaluate (cin t…

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Q: The trial solution for the non-homogeneous equation d'y + 9y = 1+ xe* is dx²

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Q: 13 14 6 8 -1 13 2 5 16 11 9 Example 4.4. Using the partition method, find the inverse of A = 7 3 9.

A: We need to use partition method to find an inverse of matrix A.

Q: 2. Consider the following linear function: x1 + x2 + x3 + x4 x2 + x3 X1 X2 Vx E R4 A X3 X4 X4 Xi +…

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Q: 7. Given the family of intervals F = {A_n|neN} such that A_n (1-1/n, 1+1/n) cR, what is the supremum…

A: Given An = 1-1n, 1+1n

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Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

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Q: Find T(t) and N(t) at the given point. r(t) = (t2 – 3)i + tj; t = 3 T(3) N(3)

A: Given r(t) = (t2-3)i + tj ; t = 3

Q: x' = -3x + 2y, y' = -3x + 4y; x (0) = 0, y(0) = 2 %3D %3D

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Q: Slhow that for n > 2, 1 n+1 2n k=2 Here, we write II=m ak to denote the product amam+1… an.

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Q: 1. Which of the following is false? * O If x > 0, then 1/x > 0. O If x > 1, then x^2 > x. O Ifx< y,…

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Q: Let -1 -5 -3 14 -8 -1 A = 1 -2 16 3 2 -13 -13 -3 Find orthonormal bases of the kernel and image of…

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Q: Which adjacency matrix could represent this graph? Select one: O A. [1 2 1 1 2 0 2 0 1 2 1 1 [ 0 1…

A: We want to find the adjacency matrix of the given graph.

Q: Find A the 3rd power of the adjacency matrix for G. Then answer the questions. V1 v2 es ei e2 e6 V3…

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Q: Complete the integral(s) that defines L{f(t)}. L{f(t)} = dt+ dt Find L{f(t)}. (Write your answer as…

A: We have to find the laplace transform.

Q: Using "Numerical Differentiation (Central Finite Difference)" Problem Solving f(x) = 4e-2x sin(x2)…

A: Sol