MATH 1152 Quiz: MATH 152 OSU M152 Quiz1Solutions OSU Au08

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turquoisegnu128

31 Jan 2019

School

Ohio State University

Department

Mathematics

Course

MATH 1152

Professor

All

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Problem 1. (5 points) simplify the following expression as much a. ij possiblel. 152 quiz 1 - form a (r1/2 3a) (rr/, + 3u) Problem: (5 points) lct /(x) : ;l=. Jb+h) jq: (5 points) lct /(x) : ;l=. Simplify thc following exprcssion as much rl fu+ut - &*l lrl -r. Problem 3. (5 points) use your answer to probie to u : at thc doint f3. 1/2). , to find the equation of the ta. ngent line. Problem 4. (5 points) find the de vative //(s) of thc following function. : -su4ta . (=r t 3) " -s*,^ rd. Problem 1. (5 points) simplify ihe following exprcssion as much as possible. G. 1/2 su) (xr/2 + sa) x2 - 26:xg2 + 25aa

Related Questions

K(x,y,z) = (x, x + y,x + y + z)

L(x,y,z) = (2x - y, x + 2y)

S(x,y,z) = (z,y,x)

T(x,y) = (2x + y,x + y,x - y,x - 2y)

G: R^3 -> M(2,2) defined by G(x,y,z) = (y z , (-x + y) -x)

H: M(2,2) -> P2 defined by H(a b, c d) = (a + b) + (a - 2d)x+ dx^2

Find the indicated linear transformation if it is defined. ifnot defined explain why it is not:

1) K + S

2) GS

3)2S^3 - S^2 + 3S - 4I

Find the matrix that represent each of the linear transformationK,L,S,and T for the following

1)TL

2)K + S

Find the matrix that represent each of linear transformation intwo ways, first using the result normal way and using therepresention of the matrix.

T:R^3 --> R^4 given by T(X) = Ax, where

A = [1 1 0

2 0 3

-1 1 1

1 1 2]

and v1 = (-3,3,2) v2 = (0,0,0)

2) T: R^4 --> R given by T(x1,x2,x3,x4) = x1 + 2x2 + 3x3 +4x4 and v1 = (1,2,1,-2) v2 = (2,3,0,-2)

3)T: M(2,3) --> P2

P2 = (a11 + a13)x^2 + (a21 - a22)x + a23

v1 = [-1 3 1

2 2 0]

v2 = [2 1 -2

1 1 0]

& determine wheter w1 or w2 is the iamge of thecorresponding linear transformation

w1 = x^2 + 2x + 1,w2 = x - 2.

Answer 1-44 with steps and explanations.

MATH 1152 Quiz: MATH 152 OSU M152 Quiz1Solutions OSU Au08

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