Given y = (x + 1)(x + 2)² Find: y O (z + 2)(3x – 4) O (2 – x)(3x – 4) - O (x – 2)(3x + 4) O (2 + 2)(3x + 4)

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A: We need to estimate value.

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A: Topic:- limit calculus

Q: II 2. 3. 2. 4. x² 1. X. 3. D3x 4. 1. Find the given derivative. 4-part 1 Homework: Homework Chap

A: Dx3x-12 + 4x32=Dx3x-12 + 4x-32                               =3Dxx-12+4Dxx-32…

Q: 6) Determine constants a and b such that f(x) is continuous for all values of x. ax + 3, if x> 5 8,…

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A: Given: r(t)=11cos(t)i→+11sin(t)j→+tk→ r'(t)=d11cos(t)dti→+d11sin(t)dtj→+dtdtk→…

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A: Ler the the dimensions of the sheet is  x and y in order to maximize the print area

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A: Area bounded by the curves :  If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

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A: Here, the given function is: y=7cos(8x) Note that the period of the function is: 2π8=π4 Now, the…

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A: We have to calculate volume of solid obtained by rotating the region bounded by y=lnx, y=0 and x=2.…

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A: topic - application of derivatives

Q: Find div F and curl F if F(x,y, z) = x°i – 5j + yzk. - div F= curl F=

A: A detailed solution is given below

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A: Explained below

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A: answer is in next step

Q: Find y': y = /5+ 2x – x² - 1-x O y = V5+2x-a2 1 O y = 2/5+2x-a2 7-2x O y = 2/5+2x-a²2 O y = /2 – 2x

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y'x²j+ 2z²yk. div F= curl F=

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: Find curl(2: i + 3x j + 6y k). curl(2: i + 3x j + 6y k) = ( )i + ( j + ( )k

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Q: Find V· (V × F), if F(x, y, z) = 5e**i+ 5xe®j – 7ev³k. V· (V × F) =

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A: Stoke's theorem: The surface integral of the normal component of the curl of F is equal to the line…

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Q: Vx² +y² and A metal plug has been designed using the intersection of the two cones z = x² + y2 += 1.…

A: We have to calculate volume of plug which is intersection of two cones z=√(x2+y2) and z/3+√(x2+y2)=1…

Q: Find div F and curl F if F(x, y, z) = 10y°2³i – 11x°z!°j – 3xy°k. „10: div F= curl F=

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Q: If we apply Rolle's Theorem to the function f(x) = 2x2 – 16x – 4 on the interval [2, 6], how many…

A: We state Rolle's theorem here ------    Let f : [a,b] -> R be a function continuous on [a,b] and…

Q: f(x) = (-3x³ + 4) 7, which of the following is f'(x)? f' (x) = 63x² (-3x° + 4)-8 - f' (x) = 63x(-3x…

A: Topic:- derivatives    Using  Derivatives of x^n = nx^(n-1)

Q: Calculate the area enclosed by the curve f(x) = x³ – 6x2 + 8x and the x-axis.

A: Given query is to find the area enclosed by the curve and x Axis.

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Q: (1 — 2x)dx

A: Given,  ∫01(1-2x)dx

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (4, -3)

A: To solve the given line integral.

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Q: 3x + 4y – 5z= - 8 4x + y- z= - 14 x- 3y + 3z = - 10

A: answer is in next step

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A: see below the answer and explanation

Q: 2.x4 + x3 x4 xp-

A: Given query is to find the value of the integral.