Given: y² = 2x - 2 bounded by y = x-5. The points of intersection of these two curves are {A} (9,-4); (-3,2) {B} (-9,4); (-3,2) {C} (9,4); (3,-2) {D} (-9,-4); (-3,-2)

Q: 1. If F(x)= = cos a sin r (√t-1)' dt, find F'(x).

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: 11. Find the value of m, such that D1, D2, D3 meet each other at one point. D1: x - y = 1 D2: 2x + y…

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Q: iii please, NOT i or ii

A: Topic:- vector algebra

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A: You have asked multiple questions and not mentioned which question answer you need so according to…

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ ≤ 1, ² Sysz Jed da

A: Follow the procedure given below.

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A: Given, f(x) = x2 - 2x - 8

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Q: 3. Evaluate 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

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Q: 7. Thirty two teams join a beach volleyball league. The league is split into four divisions where…

A: How many games should be scheduled in total for the league??

Q: Let A(0, -2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2. m(PB) (2) Convert the…

A: This question can be solved using the concept of distance formula.

Q: Q.23) cos Q.24) cos(sin ¹x) = 24 sin11x) √1-1 d)√1-x² b) (sinx+1)+c 11

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A: Evaluate: ∫coslnxxdx

Q: Q.1) sin³3x dx = #+2 #+24 c) Q.2) If a-1,a+3,a + 12 are consecutive terms in geometric series, then…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 3) The correct solution of the center of mass bounded by x=y² and x= 2y = y² if the density is 6 = y…

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Q: Given the equation y The amplitude is: The period is: The horizontal shift is: The midline is: y = =…

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Q: 13. dx √ex-1

A: Given: I=∫dxex-1   ...1   As we know that; The Chain Rule: fgx'=f'gx·g'x And ∫1x2+1dx=tan-1x+C

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Q: Find the equation of the tangent line to the curvey = 4 sina at the point (¹²). The equation of this…

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A: Above question is solved.

Q: Betermine the value of k for which the following planes are perpendicular: π₁ = (1, 2,7) + s(4,2,0)…

A: π1 = (1,2,7)+s(4,2,0)+t(k,1,2)  First need to find the normal of the planeIf the plane in the form…

Q: f sec5 2 tdt

A: On solving this we will get

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Q: aximum profit is d to nearest integer.)

A: Topic:- application of derivatives

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Q: 2. Evaluate the double integrals by iteration. whre B is the region 0 ≤ x ≤ 1, ² ≤ y ≤ = d.A

A: Let's evaluate given double integral.

Q: 5. √√Z+ 2 1 3z dz

A: ∫ zn dz = zn+1n+1+C

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A: We want to find domain and limit.

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A: Given problem:-

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A: Recall:  V=∫abπf(x)2dx We have a=0, b=6, f(x)=e-x

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A: a) here, f(x) tends to infinity as x approaches -8 . So, correct option is d.

Q: 9. If the slope of the line determined by the points (x,5) and (1,8) is -3, find x.

A: Given that the slope of the line determined by the points (×,5) and (1,8) is -3. We have to find the…

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