Define R as the region that is bounded by the graph of the function f(x) = disk method to find the volume of the solid of revolution when R is rotated around the x-axis. +2, the x-axis, x = 1, and x = 3. Use the Submit an exact answer in terms of .

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A: Using sine rule, length of other two side are evaluated.

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Q: 1. Find the area of the region bounded by the curves y = 3x and y=x².

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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A: Given query is to find the equation of the tangent.

Q: lim (tan x)(sin x−1) + TU x-2

A: lim     (tanx)(sinx -1) x -->π/2 here we can direct put limit  because we can apply limit

Q: 2. 0 sec³ x tan x √2+ sec x dx

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A: Topic = Area

Q: 2. lim (x - Inx)* x)² 2-0+

A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

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A: Above two questions are answered.

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Q: answer a and b a. The marginal cost of manufacturing x tarpaulins is given by 0.03x2 + 0.4x + 7. If…

A: Explanation of the answer is as follows

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Q: If F(x) a. F'(1) L √4t - t² dt, evaluate the following: x² b. F(2), by interpreting F(2) as an area

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Q: TU Evaluate sec²20d0 a. 00.33 b. 0.5 c. 0.67 d. 0.25 e. NONE OF THE ABOVE

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A: The diagram of the cylinder with hemisphere on the end will be as following To find dVdr at r=2,…

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Q: Use the linear approximation to estimate In (√0.99).

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Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: Find the area bounded by the curve 2x² + 4x + y - 0 and the line y+x=0 a. 1.000 b. 1.125 c. 1.525 d.…

A: We will first sketch the curve and the line.

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Q: Perform the integration. π ¹3 sec³ x tan x dx √2 + secx 0

A: A detailed solution is given below.

Q: Given: cos 3y + sin 2x 2 cos 2x 2 O -3 sin 3y-3 -2 cos 22-2 O -3 sin 3y 3 O -2 cos 2x-2 3 sin 3y 3 2…

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Q: Why is it =10πr33? particularly, why is the value 33?

A: Let's solve.

Q: II. Evaluate the following integrals. 3. ²|2 - 2º| da

A: Given: ∫03|2-2x|dx

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Q: Evaluate (2x + 3e* - 4) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE A О в Oc O D DE

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A: s(t)=t3-6t2+9t+4   position when instance change direction means v=0…

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A: Using substitution Z=y^n, and n=1/3 We get the linear differential equation

Q: Evaluate the integral of e^x^3 x^2 dx from 0 to 2. * 973.10 O999.40 876.56 993.32 Final rated…

A: As per guidelines,  we support one question in one request . Kindly repost next question in next…

Q: Suppose y=f(x) is a curve that always lies above the x-axis and never has a horizontal tangent,…

A: Given problem:- Suppose y = f(x) is a curve that always lies above the x-axis and never has a…

Q: 2. Find the area of the region bounded by x=y², x=-1, y = 2 and y = -1.

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Q: S 36x2+25 - dx

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A: We have to set up the integral and draw solid B.

Q: The following differential equation is a Bernoulli equation: 2 dy + = y³ y3 where y = f(t) dt t By…

A: The following differential equation is a Bernoulli equation:dydt+yt=y23 where y=ftBy making the…

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A: f(x, y) =4x2+6xy+3y2-4x-8 In this question, we need to find all the points where the function has…

Q: Evaluate fsin² 2xdx Show step-by-step solution.

A: We need to do integration of  sin2(2x)  First we will apply it's formula, since this value is equal…

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A: Let's evaluate given integral.

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Q: The function f(x), which is defined for a ≤ x ≤ b, has the following behavior: f'(x) 0. Choose the…

A: Follow the procedure given below.

Q: Find the area bounded by x = y + 2, x = 1 - y^2, and the lines y = 1 and y = −1. *

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Q: 3 foa 0 (|3x − 1| + |3* – 3|) dx

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Q: II. Evaluate the following integrals. 3. 12-2² | dr

A: