Find the slope and y-intercept of each line. a.) y = -x +4 m = y - intercept: ( b.) y = 3 - 2x m = y - intercept: ( ()

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A: The problems 6,7,8 are individual problems so I solve one problem only.

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Q: Given the vectors Â=2a_+5a_+7a_ B= a +6a +3a X Evaluate the following |B|a¸ −3Ã O 4.4641a-11.1603a -…

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A: The multiplication of two quaternions p→=p0+p1i⇀+p2j⇀+p3k⇀ and q→=q0+q1i⇀+q2j⇀+q3k⇀ is given by…

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Q: Section 5: Use the graph to write the absolute value function. 4f(x) 8642 -8-6-4-20 2 4 6 8x <-4 -6…

A: An absolute value function is a function that contains an algebraic expression within absolute value…

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Q: 1. y' - 4y = 0, y(0) = 1 2. y' + 4xy = e- 2x², y(0) = 0

A: We convert the given differential equation to Volterra integral equations. We use the direct…

Q: If the vector from RCS (4, -2,4) to SCS (3.5,105°,34°) is R=R a +R_a_+R_a_ PP Evaluate -R-2R + 3R P…

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Q: Determine the scalar projection of A=3a2a - 4a y Z in the direction of B=a +5a - 6a_ y X N

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Q: [F-dr r(t) = (1-1²) i+(t+1)j + √1-tk for 0 ≤ t ≤ 1. (c) Evaluate F-dr where Cis

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Q: 3.4 Exercises 1. In the measurable space (S2, B), show A E B iff 1A E B.

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Q: A legitimate eigenvector of a 10 x 10 matrix could be

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Q: (b) IM8 (-1)" n2 + 1 BWT (c) [

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Q: Let F = (7z+7x4) 7 + (3y + 2z + 2 sin(14)) 7 + (7x + 2y + 3e²¹ ) k. (a) Find curl F. curl F = (b)…

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Q: Let B be a 500 x 500 matrix. Let A adjoint matrix of B, and M=minor matrix of B. Let Ai,j denote the…

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Q: Wa salve the fallowing D.F... OTT CD³ +.6.D³ +11.D+6) ya www

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A: (1)  (a) y1=4ety1't=4ety1''t=4ety1''t=     4et          (b)…

Q: For a convex set SC R", what is the normal cone Ng(x) of S at a point x € S?

A: Kindly refer to Step 2 for the solution.

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Q: (a) (b) (c) Let A be an nxn matrix and cij is the corresponding cofactor of Aij. Starting from the…

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Q: 10. What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly? TATI

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Q: 4. Please calculate the determinant of -t 1 0 0 0 0 -t 0 1 -t 0 0 0 0 0 ... ... : 0 0 0 -t 1 -do -a₁…

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Q: (a) Approximate the following integral by using Simpson's rule. (b) Use the error term to find an…

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Q: Matrix A = -9 1 1 -1 1 -9 -1 1 1 -1 -9 1 -1 1 1 -9 Part 1: Find all eigenvalues of the…

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