What is the length of RS? W R x - 3 V x+5

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: | (12xv4x2 + 6x + 9v4x? + 6x) dx

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Q: t| x7+4-3=

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Q: dx 8 — 2х — х2 5.

A: Given, Note: asinx represents sin-1xacosx represents cos-1x

Q: | V1 – 47² dx.

A: We know that sin2(u)+cos2(u)=1   ⇒ 1-sin2(u)=cos2(u) cos2(u)=121+cos(2u) sin2 sin-1y = 2y1-y2

Q: G H F 6x + 11 Find HFI -7+8x

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Q: 20x3 dx 2. JT2+1 Vx2+1

A: Explanation of the answer is as follows

Q: Find , if f = 1læ“ + 7y² ду 14y O O o 44x° + 14y 44x 3

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Q: Vx + x – x

A: We rationalize the numerator

Q: Let p, = 2t – 1 and p2 = t3 +2. Write three polynomials that are in span{p1, P2}-

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Q: -d 23 X 2 9+хо dx

A: Given integral:- ∫-∞∞23x29+x6dx

Q: 14. Area of the rectangle = 22 2x + 1 3x+1

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Q: Determine all values of the constants a0,a1,a2, and a3 such that x3+2x =a0P0+a1P1+a2P2+a3P3.

A: We are given the following equation: x3+2x=a0P0+a1P1+a2P2+a3P3 Our aim is to find the values of all…

Q: T 2 2. S 8xdx 4 2 0x -8x +32

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Q: 6x1 + 7x2 = 3 - 7x1 – 8x2 = -2 Ex: 42 X =

A: Multiply the first given equation by 7 and the second given equation by 6 , then add both the…

Q: Find the area of the shaded region as a simplified expression. A =zhCloltb2) A =(6x)( 6x 5x+3 8x-1

A: We are given the following region. We need to find the area of the shaded region as a simplified…

Q: KD and ZE are complementary. If mZD = 5x + 3 and mZE = 3x – 1, what is x? 081

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Q: S√4t² + 3 dt

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Q: 1 [² [²" - dydz dr I

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Q: $3000. 300-€ e

A: Given :e∫3300-tdt

Q: 1 x(4 + х)3dх 24

A: To evaluate the integral: ∫2426x4+x13dx Solution: Here lower limit of integral is 24. Upper limit is…

Q: Find the following

A: ∫(8x3+10x2-7x+5) dx

Q: 3. W ²2/2 √√32 W²22√ √50 - 3

A: Find the value of w^(3/2)sqrt(32) - w^(3/2)sqrt(50)

Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: Suaef(Ox-tan(Sx-) dx 2 2

A: Given:

Q: csc² 6. 2 2 Cs dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use…

Q: Vx + Factor 6x – 25xy+ 14y² = (| 3 - 2 Xy)( 2 V x + |7 Xy)

A: Consider  6x2-25xy+14y2

Q: Evaluate 4x2 + 4x + 5 dx

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Q: 3x³ 4x / (3²¹-4-2)=[ X3 dx +C

A: Given query is to find the integral.

Q: 27.2" %3D 18.4" 37.6"

A: Area is 596 square inch

Q: z(Z-7) at z= 5

A: =z(z-7)substitute z=5=55-7=5-2=-10

Q: dt t² - 8t + 20 +2

A:

Q: How many points of inflection will y = 3x4 + 2x3 – 5x – 12 have? O 5 3.

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