Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the line x = 1.

Q: 2 2 2 Find the moment of inertia: x3 + y3 = a3 about x = = 0.

A: Let's find moment of intertia.

Q: Evaluate the double integral that will find the volume of a solid bounded by z = 4 − x^2 − 4y^2 and…

A: Let's find volume of solid.

Q: Given Cost and Revenue functions C(q) =q³-9q² +57q+5000 and R(q) = -3q² +2600q, what cost is…

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Q: Find the length of the spiraling polar curve r = 6e50 From 0 to 2. The length is

A: SOLUTION-

Q: A) Link between plane and line in the differentiation. 7) Find the aquations of alono pocinh the…

A: Link between line and plane.

Q: x6 cos(x³) (A) True (B) False |dx=0

A: We will solve the problem

Q: olve for the general solution using the Power Series. The answer was ready given, you just have to…

A: Please see the below picture for detailed solution.

Q: Why did you take f'(x)=0 and from them I didn't understand, can you explain it a bit, its really…

A: We have to explain the term f'(x)=0.

Q: Find the length of the curve from the entire hypocycloid 2 2 x3 + Y³ = a³.

A: Explained below

Q: Look for the smaller loop of the limacon r = a(1+2 cos 0) and solve for its area.

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Q: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

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Q: S²(x²-4x² + 324 232) sin(x) 4x⁹ (1+x²)² A) True B) False |dx=0

A: ∫-11x7-4x9+sinx1+x22dx

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (c) Determine the…

A: Here is the solution of the given problem.  To solve this problem we use simple concept of…

Q: Calculate the integral approximation S12 for Si ²1 dx. +1 S12 =

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Q: Using Trapezoidal method Blank 1 0.34 2 So dx for n=4 is equal to 0.34 (use 2 decimal places with…

A: Given ∫012(x+2)2 dx To evaluate integral using Trapezoidal Rule:

Q: ,1 x² - 4x⁹+ A) True B False sin(x) (1+x²)² |dx=0

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Q: 4 2 dx : 5₂² In evaluating is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

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Q: Solve f(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

A: Solved below.

Q: Evaluate J (2a² y +9y³)dA, D is the region bounded by y www 33522 a. 5 O b. 4811 5 OC. None of the…

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Q: Find vertical asymptote, x intercept and y intercept of (x+1)(x-5)/(x-6)

A: Topic = Functions

Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (6x + 12) + 1.3…

A: Domain of a function:-  Set of all values of independent variable such that function at that point…

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: We know that surface area generated when the given curve is revolved about the given axis…

Q: 6. Where does the normal line to the curve y = x - x² at the point (1, 0) intersect the curve a…

A: Topic = Functions

Q: To integrate x3x² dx' Ox хех2 242 x² OX we apply integration by parts and in the form u dv, dv is…

A: We have to determine the integral

Q: Q1: convert the the Integral - (x² + y²)dydx to

A: Use the relation between cartesian coordinates and polar coordinates

Q: Which of the symbols below denote the operation of antidifferentiation

A: We have to find symbol of antidifferentiation.

Q: Consider the vector-valued function R(t) = (t³ — t, 2t²,2 — 21.²). 1. Find ||'(t) || (Simplify your…

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Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim x-0…

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Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

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Q: If you evaluate the integral expression Blank 1 Add your answer 2x-1 - 3|dx the result is Blank 1…

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Q: Calculate the volume of the solid of revolution generated by rotating the graph of the following…

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Q: If you evaluate the integral expression 12x+1|dx the result is Blank 1 (use fraction or decimal in 2…

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Q: Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

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Q: =f and g are continuous on [a,b], then [*[f(x) + g(x)]dx = f(x) [ √° g(x) f(x)dx+ Sº g(x)dx (A) True…

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Q: Find the area of the region bounded by the curve y=x²-3x²-x+3 and x-axis from x=-1 to x=2. (Note:…

A: To find the area of the region bounded by the curve y=x3-3x2-x+3 and x‐axis from x=-1 to x=2.

Q: True or false √2 If cosh x = V, then sinh x = 2. It is possible for a function to have an absolute…

A: To determine whether the following statements are True or False.1 If cosh x=62, then sinh x=22.2 It…

Q: Given the function y=f(x), y" is found to be negative over the interval (4,8), then over this…

A: Answer is given in next step.

Q: The curve y = √x + 2 is revolved about the y-axis from x = 1 to x = 8, find the surfac area.

A: Here we have to find the surface area.

Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 13.1543 B) 13.1435 C)…

A: Given problem:- Find the area bounded by y=ex , y=ln(x) , x=e, the x-axis and the y-axis.

Q: What integration technique can be used to integrate: Integration Formulas O Trigonometric…

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Q: Write the complex number in polar form with argument between 0 and 2. 5/(1 + i)

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Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x- cos x (a) lim x/4…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

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Q: Find the exact maximum and minimum volumes (in cm) of a rectangular box whose surface area is 1,300…

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Q: Find the value of C so that the function is a density function. f(x) = [Cx¹ if 0≤x≤ 9 10 otherwise

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Q: Which of the following is not true? (A) None of the given choices 3 dx dx Ⓒ = S B S³ = In(x²) lim c→…

A: All Option are  correct So we have to choose Option 'A'

Q: For what value of the constants A and B is the function f continuous on (-∞, ∞)? A√x+6-1 for x 3

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Q: Given x = ; ș¹²+2y — In(y + 1), find the arc length for 0 ≤ y ≤3 8

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Q: A payment of $2,600 was due three years ago, and a payment of $1,450 is due today. What single…

A: