Ex. Find the general solution to dy 1 -2.x dx X -

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Q: P 1. (1 Use the cylindrical shell method to find the volume of the solid obtained by rotating the…

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Q: 1. Evaluate the integral: 2³ cos (dt du

A: Given

Q: I. Evaluate the following limits. sinh x? – r 1. lim r→0 sinhr — -

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Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + ²) + y =…

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Q: Evaluate the following: 4 fsin 2xcos²2xdx

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Q: 3 Scos³ xdx from a - 0 to b= 2

A: This question is related to definite integration, we will solve it using given information.

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Q: find the area the of region i) sketch the area, ii) Determine the boundaries ii) retup the definite…

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Q: Evaluate the following limits. 1 - cosh x 1. lim x+0+ ln(x² + 1)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 3 4-3x S²³ So dx dy

A: To evaluate the given double integral.∫03∫04-3x dx dy

Q: Which of the following can the first derivative not be used to determine? 1. where the function is…

A: First Derivative of a function gives slope of a function at any point. Refer to following statements…

Q: - 3x17 +10+10 - ) 4x19-3 b) (4x2 - 1)(7x3 + x)] + 100

A: Note: As per our company guidelines we are supposed to answer first three sub-parts of the question.…

Q: Use the definition of continuity and the properties of limits to show that the function g is…

A: This question can be solved using the concept of continuity of a function at a given point.

Q: P 2. ( a) Find the average value of f on [9,25]. b) Find all c in [9, 25] such that f(c) = favg.…

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Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

A: We need to find area. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

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: S 32-3x|dx

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Q: 1. Evaluate the assigned limit using L'Hopital's Rule. lim [cos (2x)]¹/(*-*) 2--

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Q: 5. Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis,…

A: Solution given below

Q: lim x++∞ x² + x e²x + In x

A: To Find: limx→∞x2+xe2x+lnx

Q: III. Let f(x) = e2 sinx 1. Use the local linear approximation of f at x = 0 to approximate…

A: Given problem:- Let f(x)=e2sinx.   1. Use the local linear approximation of ƒ at x = 0 to…

Q: Electric usage over the course of a day varies. The graph shown is of electricity costs per hour.…

A: Use average concept

Q: II. Evaluate the following integrals. fe (sin³x)√1 + cos x dx 2.

A: ∫π/2πsin3x1+cosxdx sin3x=sinx(sin2x)=sinx(1-cos2x) ∫π/2π(1-cos2x)(1+cosx)sinxdx let 1+cosx=t…

Q: 5x² S -dx 2. ex

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Q: x 1 4. 1 / ₁²+52²+8² dx x² + 5x + 8

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Q: 2. lim (tanx) (sin r-1) x→

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

A: Given

Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

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Q: 3. A company determined that the price-demand and cost functions for selling x units of a certain…

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Q: Explain why the function f is continuous at every number in its domain. State the domain. 3v1 f(x)=…

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Q: (³² sin æcosx tan³ xcot³ x sec xcscx dx

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Q: Find the lateral surface of the cone generated by revolving the line y = mx from x = 0 to x = 1…

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Q: For the questions provided, find the values indicated and solve (using Logarithms where needed) 1.…

A: '

Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)=pi/6. 1…

A: We use the concept of exact differential equations to find the general solution to given…

Q: Evaluate the integral S (2x − 8)dx 2 - 6x + 18 x²

A: Evaluate the integral

Q: 2. Evaluate all of the integrals. 2²-x+4 (x + 1)(x²+2) da

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Q: 1-10 J = exp(-x²)dx 0 Evaluate J by means of Simpson's rule with n = 2m = 10 and h = 0.1

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Q: explain

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

A: To convert into linear differential equation.

Q: Determine the derivative of the following function. Do not simplify. y = ecosxsinx

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Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Find the area of the region bounded by x= 1/(y2+1) and the y-axis using the horizontal strip.

Q: Calculate the amount of money Cynthia had to deposit in an investment fund growing at an interest…

A: To find out the amount of money that Cynthia has to deposit.

Q: Determine the following integrals: 1.1.1 ļ (cos2x+sin x) dx x+1 .1.2 1₁ JF dx x + 2x+1 2 1.1.3 | ₁…

A: ∫ sin(ax) dx =-cos(ax)a+C       and     ∫cos(ax) dx =sin(ax)a+C ∫xn dx = xn+1n+1+C Note : As per our…

Q: Set up the triple integral that will give the following: the volume of the solid B that lies above…

A: Given

Q: What is the slope of the tangent line to the curve y = T I 7 O-2 02 0 - 17/12 01/1/01 O none of the…

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Q: 1. a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4.

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

Q: fsec³ 7x tan5 7x dx 4.

A: Let's solve given integration.

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