3r-2 14 If S(r) = and K(r) = 3-7r hint (R is 7th digit in your ID) (3R-1)+7r R=6 Find: a. Domain of S(r) b. (S-1 + K)(r)

Q: 3) --9+7z use x = -14 and z = 9 4) -승+ + 3k use x = -4 and k = -7 5) 4(-3n - 2h) use n = -4 and h =…

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Q: Woriten as deciomal, a) 2(6)**: 3' b) lag (X+2) =2-leg (1K-) a) logs (4x-6)-3 = legs (2x3) x+2 2X -3

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Q: egion corresponding to the statement P(Z > c) = 0.3.

A: Since, the distribution is the standard Normal distribution. We want to draw the region.

Q: (13) If r2 = x2 +y? + z?, then v²r-1 is (a) 0 (b) -r-3r (c) r-2 (d) No

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Q: 4. If x²-2√3x + 1 = 0 then, a.Show that, x² - 2√2x-1=0. 14 b. Find the value of x¹4 +1 X X c. What…

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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: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: = C₁e^ + c₂e^, (-∞0, ∞0); y" - y = 0, y(0) = 0, y'(0) = 5 ex- 25e-x X

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Q: Evaluate x-(xy-y) for x satisfying 4(x+4) = 5x+20 and y satisfying -9y-8=7y+24. x- (xy-y)= (Simplify…

A: We will solve the following

Q: 3 -x --y = 1 4 2 3 x -sy = C -2 Both 2 and -2 There does not exist such a value of c. 2.

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Q: 3A-B-2D=s -2A+ SB-3し -lo --D=-10 3B +46 - 4A - C +5D=-1o

A: Solving the problem by arrange it in matrix form.

Q: - Select all that apply. A 3 (16a - 72a² + 81) B 3 (4x - 9)* C 3 (4a+ 9) (4x – 9) - D 3 (2x-3) (2x…

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

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Q: for power substitution method, next step is * For ai-(r+3)} dr f - 4u²dr 4u²dr -S (u*)& – (u*)*…

A: For using power substitution method, to determine the next step for the following…

Q: Give the properties for the equation x 2 +y 2 + 4x + 6y - 12 = 0 Range -8 ≤ y ≤ 2 -7 ≤ y ≤ 3 -2 ≤…

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Q: = 1/3 A = -1 0 Option 1 2 -1 [-2 4] and B = 3, find (AB)T -8- 5 [] Option 2

A: We can answer the correct answer as below.

Q: Q1/ Find -1 = s² (s+1)(S-1)²

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Q: 5. Q44 Find the domain of y = Ix- 4| – |x+ 1| +

A: Domain of y where y=√(|x-4|-|x+1| +5/√(x2-9)  Value of x where y shoud be exist

Q: Directions: Simplify these problems by combining like terms. 1. 6s + 2s - 3s - 6 2. 10t - 4t -6 +…

A: Explanation of the answer is as follows

Q: 2 4 + 27 (-2)" 16 + 243 Σ %3D - 3n+k n=1 9. 81 what must be the value of k?

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Q: N. 2 CEl ! Ctrl 5. A company that sells widgets determined that, in order to sell x widgets, the…

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Q: 2) 4= -4x required: a) Fih d the value of Y iF X=1

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Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y-5 =0

A: Given : y^3 - 3ax^2 + x^3 = 0

Q: 2s Use Convolution to find L-1[- (s²+4)2-

A: Given: L-12ss2+42

Q: x2 +3 x <-4 -4 < x < -1 -1 < x < 2 4 < x <7 3x - 5 3. Find the following where M(x) = 7 5x +1 2x + 8…

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Q: /2z-2² dydz Evaluate: 7 Vz²+y? O-V3 0 1

A: We have to solve the integral  ∫032∫x32x-x2dydxx2+y2

Q: Q1/ Find -1 s² (s+1)(S-1)²

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

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Q: b) Find the z- of the following 8z - 19 F(z) (z - 2)(z - 3)

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Q: Q3/ If Ā = -3i + 2j + 5k, B = i + 2j - k and C = -i-j-2k %3D find (AXB). C

A: Let's see the concept of dot and cross product. Say xi+yj+zk and ai+bj+ck be two vectors.

Q: -2 2 2 2 Q.NO.5 if f(x)=x show that f(a,b.c.d) = -(abc+bcd+acd+abd)/a b°c°d

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Q: 3. If AJKL- AMKN, find the value of x. K 12 N 20 M x+1 3x -2 J

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Q: Q5: Suppose B is real. Show that le2ßt - 1|< 27|B| , 2 πβί

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Q: 1) 7(2d + 5r) use r= -9 and d = -6 -21 + 7b use x = -7 and b = -5

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Q: If z1 = -4 + j5, z2 = -3 - j2, and z3 = 2 - j3 , what is the simplified form of z – z + 2 ? %3D

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Q: Given: 5e-x-6e-3x Find: u O 5e-x - 6e-3x 5e2x – 6 5-бе-2х V5e-x - 6e-3x

A: ∫ex5e-x-6e-3x3dxSubstitute v=ex→dvdx=ex→dx=e-xdve-3x=1v3e-x=1v=∫15v-6v33dv

Q: y = (b) -8 -2 ere to search - 6 y 2 -4 -6 -8 1 -4 2 4 1 y 2 61 -4 6 8 O 6 2 8 DELL X X 3. A

A: We have to find the equation of graph

Q: -4f(x-1) + 2 has been reflected over the x-axis True or False?

A: Given a function f(x)\displaystyle f\left(x\right), a new function g(x)=−f(x)\displaystyle…

Q: 18. y = x² + 9 and y = 10 + 2x over z = [-1,3]

A: The graph is shown below

Q: If y3 – 3ax? + x³ = 0, then prove that y2 + 2a?x?y-5 = 0

A: The proof is given below :

Q: ду Q5: A /Determine az if you knows that: z = (x2 + y2 - 2z Incos3x) дх ду %3D

A: To find the partial derivatives of given z=(x^2+y^2-2zlncos^3x)

Q: s-1 Q1/ Find L- 2s2+8s+11

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Q: Shaw that ys²-3S+5 (St1)XS-25+2). 3-1207820st+9 E sit

A: Some of the properties of the inverse Laplace is given by  L-1a f(s)+bg(s)=aL-1f(s)+bL-1g(s)…

Q: -6 -4 -2 + I B. r I ↓ . I y -9 4- 2- -2- A -9- 0 A. y = (x - 1)² - 2 y = 4(x - 1)² - 2 F . -~ 2 · I…

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Q: 2y +2 logs y+k 32 +2 If y = 37 – 2 then I= for some real number k. What is the value of k?

A: Use the properties of logarithm to simplify the following. Substitute the value of y and solve for…

Q: 1) y = a², from P(-1,,) to Q(1,;) .2 1 2) x = 3VI(y – 3), 1 <y<2 - 3

A: We have to find the arc length of given curve

Q: -2 , B = 3 1 -2] D 50 -4 -4 5 3 Find the following I 1 3 1. -A +-C 4. 8 BT-2A 2. 3. AB 4. AB --D A =…

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Q: FIND B-A, GIVEN THAT A= {x ∈ z+ /2 <x<6}    B={x ∈ Z- / -6<x< - 2}

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Q: 2. Factor r2 - 13r+ 42. 2 10 2 C A. (r+ 7)(r+ 6) B. (r-7)(r- 6) C. (r+ 7)(r- 6) D. (r-7)(r+ 6) O…

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Q: 3r=-4s+1 2s=-4r+8 r= s=   I don't even know where to start with this. Any help would be appriciated.

A: Given,

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.