f(x)=√√3x² +6x+2

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: Given :Region bounded by x2=4y and y2=4xRevolving about y=4

Q: ▪ x = 1+ y²; x = 0; y = 1 and y = 2 about the y-axis.

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Q: y=(-4x²-5x²) (7x - 2)

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Q: How do you multiply cube in an equation?

A: Solution

Q: S- Find y dy Vy+2 using the substitution u +5=√√x+2. A ²/ (√x+2-5) (-5√/y+2+y+21)+C ℗ ²/(√√y+2-5)…

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Q: 2t³ +11t+8 3 t³+4t² +4t 7. S -dt

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Q: 5.5x-2 dx

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

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Q: Q2/A) Solve the following differential equation x²(y + 1)dx + y²(x - 1)dy = 0 DE

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Q: 20. [(x²+2x-10/3 (5x+5)dx

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Q: 50 50 " (ax³ + bx² + cx) dx = 2b [³²x -50 A) True B) False x²dx

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Q: QUESTION 1 In x Complete the following table to evaluate the limit lim X-00 √x Step Explain the step…

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Q: 2. f(x²+2x-3)(x+1)dx

A: We can find the integration as below.

Q: 1= sin√xcos√x √x A) None Зл B 256 Зл C 512 3 D 256 3 E 512 -dx is equal to

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Q: Find the absolute maximum and minimum values of the function f(x) = cos²x-3sinx on the interval…

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Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: sin 3x cos 5x dx

A: ∫0π/8sin3xcos5xdx here we use formula  sinacosb = (1/2)[sin(a+b) +sin(a-b)]

Q: What is dy/dx of the given function ³ - 2y² = 6 ? 0-²2 3:² CHE o 3,212

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: Being carefule to allow for parts of the curve being both above and below the x‐axis, to determine…

Q: Using chain rule, what is the (2x-¹-3x)³ ? da O 24+108x²+54xª+81x6 x4 -24+36x²+54x4 -81x6 x4 O…

A: The objective of the question is find the derivative .

Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

A: Given :(x+5)2=2y, the x-axis, and the line tangent to the circle x2+y2=25 at (3,4).To find :The area…

Q: 1/B) Find the length of the cardioid 'curve: r = 1 + cose

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Q: (cos-¹2w) 6. ¡ COS dw √1-4w²

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Q: Find the equation of the tangent line of the function tan (xy²) = 2xy, a J absoleto 700 nu at x = π.

A: Let's find equation of tangent line of given curve at x = pi.

Q: a) For any given function y = f(x), explain, with words, how you would determine whether or not…

A: To explain : The inflection point of a function.

Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A: As per Bartleby guidelines rule I am answering only first question as other questions are not a…

Q: QUESTION 17 Find a MacLaurin's series centred at x = -2 for.f(x) = x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: Evaluate the following. 3 1. f(1-√x) dx √X

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Q: 2. Find the horizontal asymptotes of the following functions. √9r²+1+2x+1 (a) f(x). 4x +3

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Q: Find f 6x dx?a.x^2+C. b.2x^2+C c.x^2/3+C d.3x^2+C

A: The given integral,        ∫6x dx

Q: 3cos(6x) How can this value be converted to sin How much is it in sin?

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Q: Question 15 Find the area bounded by the curve y = -x 16 A 8 square units B 16 square units C10…

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Q: If 10 fro A True B) False f(x) dx = 17 and 8 Lof(x) d f(x) dx = 12, then 10 ["fo f(x) dx=5

A: ∫010 f(x)dx = 17 ∫08 f(x)dx = 12 ∫810 f(x)dx = 5

Q: Write as a single function of a single angle. tan 145° tan 85° - = [?]([_]°) 1+tan 145°. tan 85°…

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Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Given

Q: Question 3 1. Given the following data A₁=0 I₂ = 1 Fo=11 -4 I3 = 2 5 -1 0 Fill in the Newton divided…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Jonathan invested $240,000 to purchase a home. After 14 years, he sold the home for $320,000.…

A: The given problem is solved below in detail.

Q: Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and…

A: We have to find volume generated by given condition.

Q: QUESTION 17 Find a MacLaurin's series centred at x = -2 for.f(x) ==

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Q: Calculate the centroid coordinates of quarter circle (x² + y² = a*) in the quadrant, use Cartesian…

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Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: dx S= can be transformed to which of the following when trigonometric substitution is used (x²+4)²…

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Q: -f(x)=√√5x² +2

A: Please see the answer below.

Q: D +00 [+0⁰. Evaluate: A B 0 C) None 1 +∞ (divergent) E ex dx

A: We have to solve above integration

Q: What is the of y = (tan-¹4x)² ? 2 - 2tan ¹4 1+16x² 1 8tan ¹4x 1+16x² 2tan-1 ¹4x 1+16x² -1 8tan ¹4x…

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Q: Sand is poured at the rate of 10 m3/min so as to form a conical pile whose altitude is always equal…

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Q: 20. S dr √3-4r-r²

A: On solving this we will get