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Q: Since b =2i ̂-j ̂-3k ̂ and c =i ̂-5j ̂+k ̂, what is the result of ( b . c )?

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Q: Q1-let A = 6a B - ; ) [2 3 & B = Verify that (AB)" = B" A"

A: Explanation of the solution is given below....

Q: x-1 xp= 3 4.2 Using substitution show that 26 3 Vr+1

A: According to the guideline we should have been able to do only one question at a time #4.2

Q: 5. 10x + y +z = 12 2r + 10y + z = 13 x+y + 52 = 7.

A: As pr bartleby question answer guidelines we only allow to solve one question at a time.Please post…

Q: -2.7 -10w x'y 5.9 -7 2x' y'z

A: Consider the exponential rule as, aman=an The given equation is, -10w-2x7y32x5y-9z-7

Q: So dy y2+9' Evaluate 4. k/6

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Q: -3ax+11ay-7az O -3ax + 11ay + 7az

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Q: art of z- 2z, if z = a+ib ?

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Q: 1. Show that 12r2 24.x 'ear dr = ea a a² a³

A: To solve the integral, the formula of the "by parts of integration" will be used, that is,∫u v dx =…

Q: The equality 2+3=D3+2 shows that addition is associative. O True False Previous

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Q: For А - 2аx + Зау + az and В %3 5аx - 2ау - az OAB is:

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Q: a2z If Z = x3+y3- 3axy then %3D -is дудх 1)3a 2)- 3a 3) 3.x2 4) a Select one: Oa. Option 1 O b.…

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Q: 4. Find the inverse Z-transfor b. 32 2E+ (2-1)(2-늘)(Z-t)

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 15 Apply Garass elimination methad to solve the Sy stem, 2X+y+22=3, 3x -Y+ 4Z=7 4X +3y +6 2- S

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Q: (8y + 17) (бх - 7)" (3х - 29)

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Q: 1. y=3sin(2x) and y= 3cos(2x)

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Q: What are the steps to prove 4(x-3/2)^2 = (2x-3)^2

A: Given: 4x-322=2x-32 We have to prove left hand side of equation is equal to the right hand side of…

Q: Assume that x² + y² = 4xy. Then y' Select one: True False 2x-4 4+3y²*

A: Let's solve derivative of function  and maximum value of given function.

Q: Suppose z = 5 + -2i and w -5+ -4i. Then Im(zw) =?

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Q: At 4/3 5 6 b. Suppose mZ3 = 105°. Find m26

A: Corresponding angles: If a line intersects two parallel lines, then the corresponding angles in the…

Q: Show that x = e4t is a solution to x"" – 12x" + 48x' – 64x = 0. Show that x = et is not a solution…

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Q: 82z 8. If z = x + y lnxy, show that x- 82z + ミy2 82z 8y2 8x2 δχδν

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Q: 82z 82z + 8x2 82z If z = x + y lnxy, show that x- = y², y2. 8y2 ID 8x8y

A: Given, z=x+ylnxy We need to show that,    xδ2zδx2+δ2zδxδy=y2δ2zδy2

Q: Compute A−2 two different ways and show that the results are equal.

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Q: then the ² u - y² is მყ2

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Q: Q2.2 Compute 3 -7 2 3 3 -3 det 3 -8 2 - 3 2 2 (Entor the

A: according to the guidelines we should able to do only one question at a time #2.2

Q: 22) Find m2TSR R U 2x + 14 2x – 7 125° - S

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Q: 4) Evaluate 4x + (7-z) – 6y when x=2, y35, and z=4.

A: Given,           4x+(7-z)-6y          when x=2 , y=5 and z=4

Q: 9x +15, find mBC 2. 21. If mZBAC=59- x and mZBCA=. and mBA.

A: Note: Since you have posted multiple questions we will solve only first question for you. If you…

Q: 2 8a) y = x - 8x + 8 10 9 to B 7 wana NOVA 6 away

A: Make the perfect square.

Q: Σ 32 then a= 15 k=2 ak %3D 2. if

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Q: y3-3ax2+x3=0,then

A: Given:  y^3 - 3ax^2 + x^3 = 0

Q: (b) Show that xE R, x2 - 4x + 5 > 0.

A: As this is a multiple question type, only first question is to be solved, according to the Bartleby…

Q: Ifv= (x² + y² +2²)−¹, then 320 + + is 8²v 8² Əy² 822 1 -1 -1/2 Other:

A: Given that     v = (x2+y2+z2)-1/2

Q: 82z 82z 8. If z = x + y Inxy, show that x- 8x? δχδν

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Q: 1. Find the first-order derives: III. y = (2x* – 5)(3x5 + 12) IV. V4x? + 7+ 5-x° + 15x – 30 5x+ 4x3

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Q: Compute A−2 two different ways and show that the results are equal.

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Q: 8a+4=

A: Given : 8a+4=4+8a

Q: Show that: If Iz| = 1, then: %3D z3 + 4z? – 4| Im < 3 z + 4

A: Since |z|=1 Let z=r(cos∅+isin∅) ⇒|r(cos∅+isin∅)|=1 ⇒r=1 Now

Q: Q2/ Evaluate (B8-5}sec² /3(38-5)2–7 V3(30-5)2-7

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Q: et xー4x-i7x +12 . Find xS. y'= 3x=-8K-17 y"- 6K -マ y"! =6' i2 y= x- =人 - 6x2 + 3x-2,what is 12

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Q: How does k^2 (-uv) become (I-k^2)?

A: The cross product of two vectors takes the opposite sign when the order is changed. u×v=−v×u…

Q: 20. ZJKL and ZMNP are.complementary; MZJKL = 2x- 3 and MZMNP =5x+2. What are mZJKL and mMNP?

A: Given that ∠JKL and ∠MNP are complementary angles.So, m∠JKL+m∠MNP=90°2x-3+5x+2=907x-1=907x=91x=13

Q: +prove by indirect method that i X+y >5 then or y>3. x>2

A: We need to prove that if x+y&gt;5 then x&gt;2 or y&gt;3

Q: -2 In r dydx - К + 13 Лу

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Q: - 7x+ 3y+4z = -6 -23x+23y+kz =-31 -4x+ 5y+7z= -6 we must have, k +

A: We have to find the conditional value of k such that the following system is consistent.…

Q: -2 0 b) Given -2 6. and X- show that x'Ax = 27, suggest that 5x + 6x + 7x - 4X,X, + 4X,X, -27

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Q: 5 Use a trig substitution to evaluate 2z°/2+9z² dz

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Q: fx,у) %3D -2у + зху + 8у - 4х2- бх — 7 then f equals ху О Зу - 8х — 6 O -12y O Does Not Exist Оз…

A: Given fx,y=-2y3+3xy+8y-4x2-6x-7              (1) Differentiating 1 partially w.r.t x and y ,we get…