(4) Find the volume of the solid obtained by rotating the triangle (2,0)(2, 4)(1, 1) about the vertical axis.

Q: (D3-2D2-5D +6)y=e4x, Find Yp O a. 1 4x 24 O b. 1 O c. 1 6 O d. 4x 4x 1 18 O e. none

A:

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: we know that  ∫1a2-x2dx=sin-1(xa)+c∫70t1-t4dt=70∫t12-(t2)2dtlet   t2=x

Q: III. Find the equations of the tangent and normal to each at a given point. Show the graph. You may…

A:

Q: Find the producers' surplus at a price level of p = $56 for the price-supply equation below. p= S(x)…

A: The following formula can be used to find the producer surplus (PS), PS=px-∫0xS(x)dx , where p is…

Q: If what does the following integral equal? L₂d d(z)dz = 10 ["ha d(z)dz = 15 and 10 [d(z)dz = 4.2

A:

Q: produced to achieve a maximum profit Manufacturing time per ski Finishing time per ski Downhill…

A: To solve the following problem

Q: (D3 - 2D2 - 5D +6)y=e4x, Find Yp a. 1 24 O b. 1 O c. 1 d. ∙e ∙e e 4x 4x 4x 1 18 O e. none e 4x

A: Given:    D3-2D2-5D+6y=e4x we know particular integral       Yp=1fDQ where Q=e4x…

Q: Calculate the arc length of y = 4x + 1 as a varies from 0 to 2. 8 =

A: As we know that arc length = ∫ab1 + ( dydx )2dxGiven y = 4x + 1 varies from 0 to 2

Q: Graph the set {xx<-1} on the number line. Then, write the set using interval notation. {x|x<-1}=

A:

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 5 for f(x) = ln(x + 1). T₂(x) =…

A:

Q: (D4 - 1)y = sinx, Find Yp O a. 1 10 O b. 1 O C. - sin2x 15 -sin2x 1

A:

Q: Using Part 1 of the Fundamental Theorem of Calculus, evaluate: Question Help: Video Message…

A: Given query is to find the derivative.

Q: csc cottan cot (a) [s 0 de

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Use integration by parts to evaluate the definite integral. 5.2 14 X ex/T dx

A:

Q: (D³-2D²-5D+6)y=e³x, Find Yp O a. 1 10 O b. OC. xe O d. xe 1 10 3.x 3x 10 10 e. none 3x 3x

A:

Q: In Exercises 19-22, the magnitudes of vectors u and Vin R³ are given, along with the angle between…

A: Given:- u→=2,v→=5,θ=30°

Q: Set up and evaluate the integral for the area of the shaded region. y = 4-x y=16-x² Set up the…

A: Given two curves y = 4 - x y = 16 - x2first find intersection points 4 - x = 16 - x2x2 - x - 12 = 0…

Q: Evaluate the integral. 2 6² ²1 t² + 1 - dt

A: The given integral is  ∫01 2t2+1dt

Q: (D2 - 3D + 2)y = ex, Find Yp O a.-ex Ob.ex OC.-xex O d.xex

A: Given differential equation ( D2 -3D + 2 )y = ex

Q: Given a = log7 5 and b = log, 4, use logarithmic properties to represent each of the following…

A: Given that a=log75 and b=log74, using logarithm properties to represent each of the given function…

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4-3- 4 32 1 2 3 4 5 6

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Q: (D² + 5D + 4)y = 3 - 2x, Find Yp O a. 11 8 O b. O d. 11 C. 11 — | 8 11 8 8 + e. none w|x 3 I + w/x…

A:

Q: Use the basic integration rules to find or evaluate the integral. (Use C as the constant of…

A:

Q: Use a power series to represent the function f(x) = Sorry, that's incorrect. Try again? ∞ ΣΙ n=0 1…

A:

Q: Set up and evaluate the integral for the area of the shaded region. y=11-x y=121-x² Q Set up the…

A: Let's find area by using integration.

Q: -5<x<0 0≤* <1, then 1≤z<5 0, If f is the Fourier series of g(x)=9x, (11, f(x) =+ Σ[0) 0 (™™ +) +…

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Q: Use the appropriate doubling time formula and the given information to answer the following. a)…

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Q: Find You do not need to simplify. dx a) y = 2x(3x + 9) (4x³ + 2x² − 8x) b) y = 3x-6 7x

A: To find dydx

Q: Evaluate the following indefinite integral. fo-[ dt Note: Don't forget your C! And be sure to use an…

A: We are required to evaluate the indefinite integral∫et6+etdt

Q: Use Newton's method to approximate a solution of the equation ï³ + x + 6 = 0. 1 be the initial…

A: formual for newton's formula is  xn+1=xn-f(xn)f'(xn)dxndx=nxn-1f(x)=x3+x+6f'(x)=3x2+1

Q: Find the roots of (D4 + 4)y = 0 O a. +2i, 2i + 2 O b. 2+2i, ti OC. 1 ti, 1 ti c. - O d. - 1 ti, 2+2i

A:

Q: Give a rational function that has the given graph. [You may leave the function in factored form.] 10…

A: NOTE: Refresh your page if you can't see any equations. .

Q: 3) Graph 1 period of y = 4cos(2x - π)

A: We have to graph one period of given function.

Q: 5. [5pts] Find the power series representation of f(x) = ln(2+x²) around a = 0, and find its radius…

A: Solution 5) Start with the geometric series 1/(1 - t) = sum(k=0 to infinity) t^k. This has radius of…

Q: dy + p(x) y = g(x) dx y=e³¹f {g(x)e¹} dx+Ce¹ I= [p(x) dx

A: Given:dydx+p(x)y=g(x)

Q: Find the roots of (D4 + 4y = 0 O a. +2i, ±2i + 2 O b. 2+2i, ti Oclti, -1+i O d.-1 +1, 2+2i O e. none

A: To find the roots of D4+4y=0

Q: c. f(x) = 2x, a = 1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Question Evaluate the Integral ff (xy³ + 2xy) dA in the bounded region, D, where D is defined as D…

A: Please see the below picture for detailed solution.

Q: infinite

A: We have to find the value of the given definite integral according to the given information

Q: EXAMPLE 4 Evaluating Trigonometric Functions Given tan = and cos > 0, find cos 0 and csc 0.

A:

Q: the open intervals on which the graph of the function is concave upward or concave downward. Assume…

A: Given query is to find the interval where graph is concave up and down.

Q: Find the indefinite integral. (Use C for the constant of integration.) √x²ex/2 dx

A:

Q: What is wrong with the equation? O O -273 Lea-2--10 X dx = X 3 f(x) = x -3 7 288 -3 is continuous on…

A: Solution: Given data,

Q: (D-5D + 8D-4)y = e, Find Y = Yc - Yp 1 Cate -21 2 a. Cetci 2t O b. 2x 2x C₁ et + C₂²1 +C₁₂re ² +…

A:

Q: 9. Find all points of intersection between the curves on [0,2π]. a. r = 1+ sin0, r = 3 sin 0 b. r² 2…

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Q: Of all numbers that add to 62​,find the pair that has the maximum product. That​ is, maximize the…

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Q: Find a power series representation for the function; find the interval of convergence. (Give your…

A:

Q: 8. Convert each rectangular point to polar. Give two equivalent representations for each. a. (2,-2)…

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Q: What is the local maximum values of f(x)=x-6/x^2

A: To find point of local maximum/minimum value, Put f'(x) = 0 and solve for x. The obtained value of x…

Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

A: