Find the Laplace transforms of the following functions: 1) f(t) = 1 – e' Ans. In(5-L) %3D S 2) f(t) sin 2t Ans. Arctan (2) %3D

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Q: How many planes contain point E and JK?a. 0 b. exactly 1  c. unlimited d. unknown

A: Given-  To find- How many planes contain point E and JK?

Q: If , Ax) dx = 10 and , Ax) dx = 7, find , Ax) dx. Select the correct answer. O 1) -10 O 2) 17 3) 3…

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Q: 43x2-2x dx . | Evaluate x + 2

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Q: Use Gramer Rale Find L3,2 -2x + 33-Z-1 3J-2-1 * + 2y-2- 4 -2x -+2 = -3

A: -2x+3y-z=1x+2y-z=4-2x-y+z=-3 Here, D=-2  3 -1  1  2 -1-2 -1    1,  Dx=  1  3 -1  4  2 -1-3 -1    1,…

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Q: P.(98) Q 10. Show that Rº= span (1²³] 11]).

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Q: P. 12 F 15 6x W G- 9. x+8 H. 12x DO R.

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Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

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A: Given Fx,y,z=zi^+x2j^+yk^. We have to evaluate ∫CF⋅dr, where C is the line segment from 1,2,3 to…

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Q: What is the least accumulative cost from cell course (0) to cell X? a b 1 3 4 d e f 4 7 3 9 10 |3 h…

A: the number of rows = 4 and columns = 4   1 2 3 4   A 1 3 6 4   B 4 6 7 3   C 8 9 10 3   D…

Q: Find m2Q. R 3 mzQ = [ 3.

A: Since the given traingle  △QRS is a right angled traingle  In △QRS         tan(∠Q) = RS/RQ  =>…

Q: 9. For each n E IN, let Xn be the set of polynomials of degree equal to n, and let Pn = U_0 Xk. True…

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Q: The distance d from P1 = (3, - 4) to P2 = ( - 2, 1) is d =___________

A: Given P1 = (3, - 4) to P2 = ( - 2, 1)

Q: How many planes in the diagram contain point W? O 3 O 4 O 2 O 1 o search

A: Given query is to find number of plane at point W.

Q: Find fg, fyand f; if f(x,y,z) = x - Vy² + z²

A: Given:     To determine: Partial  derivative  fx, fy, fz

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Q: Find the distance between m [-2, 3, 2,0,3, – 13, –5] and n = [4, –1,1, –5, 0, 11, –3].

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Q: Method of Lines (MOL) discretizes Select one: a. none of the space nor time dimensions O b. the time…

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Q: 2x + 1 3 – 4x Consider the function y = f(x) a) find Ax + h) simplify fully Ax + h) – Ax) h b) find

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Q: ++dy=e' dy A True B False

A: topic - exponents and integration

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Q: Pind the d om ain and range for the Funetions y = xCosCx) seccx) +l

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Q: s+2 The L is |(5²+4s+5)] a) e* cost b) cost c) e" cost d) e" cost -3t 2 O a) O b) O d)

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