Let A = 20a, + 15a, – 10a, and B = a, + a,. Find: (a) A · B, (b) A × B, (c) the compo- nent of A along B.

Q: Find x so that a || b. D. 5x (x + 12) 9-

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Q: What is the degree of f (r, y) = (r + y³)' %3D

A: Given query is to find the degree of function f(x,y).

Q: (B) Use the diagram to complete the statement. mz1 = mz2. BX 12. XC BX AC C) АВ AB D) AC AX 2.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Show by contraposition that : Vx ERx?-7x-820 - x2 8 or x S-1

A: In this method, we prove negation of antecedent and get contradicted and get our required results.

Q: Show that (p+ 9) A-g = -(p V q) Clearly indicate which rule was applied at each step.

A: we have to solve given problem:

Q: find the B.C.R Let Xwexp() Hi O-O, Remark: You can choose any value of x

A:

Q: Find the value of x and y so that 3 6. 12 16 Both x and y are equal to..

A: We use the properties of matrices to find the values of x and y.

Q: If possible, write 21 – 8x – 16x? as a linear combination of x – 1+ x², -1+ x2 and x – 3 + 2x?.…

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Q: Tgir.y) = (2ry, 1+2+) and g(1.0)=8, then g(4.1)-9(2.1) =

A: Topic:- calculus

Q: X, Bind distr

A: Given that the pdf of X then find pdf of Y=X2

Q: Which of the following is equivalent to - (Vx (P(x)VQ (x?),

A: we will use demorgan law here 1)   ∼(P∧Q)=(∼P)∨(∼Q) 2)  ∼(P∨Q)=(∼P)∧(∼Q)

Q: 15t2 ,-3t-2, te²" 1 + 13' Let H =

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Q: d. y= xsin.r [0, 2r]

A: the given curve is  y=xsinx,   0, 2π

Q: Use Cayley-Hamilton to find B* and B1.Where [1 2 B = 0 1 13 -1

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Q: Find AT, ATA, and AAT.

A:

Q: Isaac says that T' will be located at (4, 20). Isabelle says that T' will be located at (4, 12).

A: According to Isaac T' is  at (4,20) According to Isabelle T' is at (4,12)

Q: which equation has al siope of 2 and contains (-1,-1)? a y-1 = 2 lx -) c) X -1 = 2ly-1)

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Q: Find x and y in terms of a and b. S ax + by = 0 la3x + b?y = 7 (a + 0, b + 0, a + b) ])-« (х, у) -

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Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: . Find, from first principles, f(2, -1) for f(x, y) = 2a?y³ + e2y. ,2,,3

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Q: Giren that S ) FWdx=2ondd SZ flx)dx=-7Pnd the roluç of 76Sdx Plx)dx=-77ndthe Yoluç. of

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Q: W-tan-! Cx2+り theato). ১,

A: apply partial faraction

Q: Let Does {v1, v2, v3} span R3? Why or why not?VỊ =

A: The given vectors,v1=00-2, v2=0-38, v3=4-1-5

Q: Use the y = {a1,... , am | ß1, .., Bn} notation t

A: Given,           γ=α1,  . . ., αm| β1, . . ., βn

Q: A 3B are 4x4 Martrices, det(A) -3 det(B) =5 a) de t(A) = detA b) def (AB) = (-3)(5)=-15 Ò def (GzB)=…

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Q: O campute dyldx and X= 4t3-t² + 7t Y= t4 - lot

A: As we know that the chain rule: dydx=dydt×dtdx The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Find A-1 where AB=C and C2 C3 b, b, bz C1 B= b, b, b, & C= C1 C2 C3) а, а, аз

A: Given matrix is B=a1a2a3b1b2b3c1c2c3 and C=c1c2c3b1b2b3a1a2a3. We have to find the A-1 where AB=C.…

Q: メミ-イ -2, glx)={ ax-b, -<x<イ ах- 4, メンイ

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Q: Find x and y in terms of a and b. ax  +  by  =  0 a2x  +  b2y  =  1     (a ≠ 0, b ≠ 0, a ≠ b)

A: Given system ax + by = 0   —(1)                          a2x + b2y = 1  — (2) We solve the system

Q: - 7x7 Oetrx A has det A) =4, mpute the following detemineiets +(-3A)

A: We have to find the value of determinant

Q: Work out the value of x, when X, = 1-2

A:

Q: The diagram below shows rectangle RSTU with two diagonals drawn. (6x-15)° 63° To find the value of…

A: A rectangle RSTU. Here RT and SU are two diagonals. Angles given: ∠STR=63° and ∠TRS=(6x-15)° The…

Q: Given that A=6-j1 and B=2+j3, find A*B

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Q: FCX)= X2, [-2,3] show if is or nolt to Find K= ??

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Q: Q1: If acoshx + bsinhx = c, find the value of x when c² = a² - b².

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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 value of x and y if A JKL- A WYZ (4x-13) 719 44

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Q: make outbound Äx -4V3B =-12A B BA 0 = the corner achieve True false

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Q: Use the Chain Rule to find 2 when and r = 2se', y = 1+ set.

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Q: Q, find the domain of te following fanction: fCx) = 5X x- 3x -4

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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: aw find if w = 2x²y- 2z and at 2t3 • y = 5e-3t AZ = 3lnt %3D

A:

Q: RS is a midsegment of AXYZ. Y 16 6. R 11 Z

A: the given figure, we have to find the perimeter of ∆XYZ

Q: (r² + y² )²dydx • Evaluate:

A: Given: ∫03∫09-x2x2+y252dydx

Q: where u=24 x+86. Then A

A:

Q: he side, and y values are across the ple to evaluate f(4, 2).

A: The table for f(x,y) we evaluate f(4,2)

Q: Find all the pairs of integers (x, y) that satisfy 287x – 406y = 27.

A: This is a problem of Diophantine equation.

Q: Find y'(x) for ysin r- r y?- 2?

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Q: g19:), Ey,' Q. -tet fix)=', OCX<), find gCR), whone R: Vange,

A: f(x)=1, 0&lt;x&lt;1 The range of the f(x) is 1 for any value of x between 0 and 1. g(R) is actually…