Write v as a linear combination of u1, u2, and u3, if possible.v = (−1, 7, 2), u1 = (1, 3, 5), u2 = (2, −1, 3), u3 = (−3, 2, −4)

Q: Calculate the linear combination:−3/2 i + 5(1/2 j − 1/2 i)

A: Given, -32i+512j-12i Linear combination of vectors is described as the vector which is equivalent to…

Q: If possible, write -4 – 2x – 3x as a linear combination of x - x?, -a? and 1 + x². Otherwise, enter…

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Q: y = e° [0, 2] a.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: calculate the linear combination.3/2 i + 5/12 j − 1/2 i

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Q: t dt + ds = 3s²t² ds S

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Q: Find y' and y". y = e4e* y' = y" =

A: The given equation is y=e4ex. Calculate the value of y' and y''.

Q: Rewrite y in the more convenient form, y = + C.

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Q: Find X ,Y and Z

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Q: find u ·v.

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Q: P, find .u x v. +F10 (Mac),

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Q: R. (г, у) - R(x, y) =

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Q: u = VF +2P 14. u= x – 3XVX 15. y=

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Q: x,

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Q: Find x,y, and z

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Q: (x-C,)' + y² = C;?

A: (b) In this question, we have to find the differential equation for the family of curves.…

Q: 1.

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Q: -2y: 3.

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Q: Claculate the linear combination. (3i+j)-6j+2(j-4i)

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Q: find u ·v.

A: We need to calculate u.v

Q: = Determine the end behavior of h(w): a. b. a. b. O JO Op - 4w³ - 3w4 w6 - 5w5. C. d.

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Q: 2.~rw 4. (CAh)→-1 - (CAh) 6. ~j→-(sv~ p) - (sv p)

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Q: J〇 is

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Q: C6) FCx) = e^t2x? t7X

A: Inverse of function

Q: (b) Find the following linear combinations of ū and : i. 5й — й ii. 30 – ū

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Q: If WX = 3t - 45 and VY = t, what is Y? W V Y こ

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Q: If possible, write 1 5x + 5æ? as a linear combination of æ – x2, 2x – x? and 1+ x. Otherwise, enter…

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Q: ZG =113°, v =13, d = 23 ||

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Q: Find VW 2x - 7 2x - 14 | U • V. 15

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Q: If a -i- 6k andb -j+ k, find a x b. Need Help? Read It

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Q: Fnd llull, lv , Uov, and d (4,v). (-1,7) , v- (1,9)

A: According to our company guidelines we are supposed to answer only first 3 sub parts. So here I'm…

Q: find and d v using the Chain ruk . Write the anuser in terms of U V W=Sxy,x=3u²+22,4=52-v2

A: Solve using totall derivative

Q: i' = [, T0) = ý, j(0)

A: Given y '→=-410-4y → and  y →(0) = 1-4

Q: r5 a) [²3test dt, J2

A: As per Bartleby guidelines rule I am answering only first question as all questions are different…

Q: %3D If a (z) = x+1, b (x) = x- 2, c(x) = x + 3, d(x) = x – 4 | a (b (c (d (5)))) %3D

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Q: If possible, write 25 – 21x – 14x² as a linear combination of 2 − x − x², 2 – 2x − x² and 3x − 3 +…

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Q: If possible, write -3 -z- 2r² as a linear combination of 2 +z + x², 2+ 2x + z and 3+ 3x + 2x2.…

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Q: -Find the coordinates of the midpoint of EF if E(-2, -8) and F(-12, 6).

A: Given problem is :

Q: Write Jexp(2z +i)| and Jexp(iz²)| in terms of x and y. Then show that |exp(2z +i) + exp(iz²)| < e²*…

A: Here we use various property  of modules.

Q: When b is expressed as a linear combination C1u + c2v + C3W, what is C3?

A: Follow the procedure given below.

Q: Express b¹yy, in the terms of x variables where y, cx, and b¹c₁k = 8½.

A: Given: The expression is bijyiyj.  To express: The given expression in term of variable x. It is…

Q: в хгу" + (у! y" (y) = , - 2+ C

A: The given differential equation is                              x2y''+y'2=0 To solve this…

Q: where b₁,b2, b3 are constants and 8² w 8² w ឃ 8² w + əx² Əy² az² If web₁x-b₂y-b32, = b+b+b = 1. Show…

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Q: Practice by Evaluating V4-x²-y² .2 2 4- x² + y? + z²dzdydx -2 0, 0,

A: ∫-22∫04-x2∫04-x2-y2x2+y2+z2dzdydx Spherical coordinates: x=ρ cos φ sin θy = ρ sin φ sin θz = ρ cos…

Q: Which coordinate does NOT go with the rule y = 2x + 3? O (-1, 1) O (-4, -11) O (59, 121) (0,3)

A: We have to find that which coordinate does not go with the given rule of y=2x+3. Where coordinates…

Q: (z- y)dr + zdy =0

A: According to our guidelines we can only answer first question and rest can be reposted.

Q: Write a in the form a = a-T+ a,N without finding T and N. r(t) = (2 + 8t)i + (t- 2)j – 8tk a =T+[N

A: Solution

Q: Find the values of x,y, and z.

A: as we can see here radius of the circle is 9 so take y=9 now we have OB=OC=9 and one side is common…

Q: x and y ime, t=

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.