Lim CSC X xox-² (ex-1) -2

Q: Determine the average value of​ f(x) over the interval from x=a to x=​b, where f(x)=1/x​, a=1/10​,…

A: Given query is to find average value of the function.

Q: Given the boundary of the surface of a cylinder 0 ≤p ≤ 3,5≤ ≤7, 1≤z ≤ 2, determine the surface area…

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Q: Include several decimals for accuracy when the problem is graded. - 1)" 200 nº.8 ∞ n=1 S4 = error

A: To solve the following series problem

Q: 24. Let W be the amount of water, in gallons, in a bathtub at time t, in minutes. At t = 0 water…

A: Given, W = Amount of water ( in gallons)   t = time (in minutes) Water is full at time to. Plug is…

Q: Question 9 The solution of the differential equation2"-5xy' + 5y = 0 is y=c₁x cos(2nx) +c₂x sin(2…

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Q: A closed right circular cylinder has radius 2 units and height 18 units A load of an unknown weight…

A: We need to find volume of deformed cylinder.

Q: f(1) = 2, f'(1) = 3, f'(2) = 4. Find (f^-1)'(2).

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, Y2, Y3 and y4 of the…

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Q: -3 ex+e-x 53e 2 - dx

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Q: II. Solve the following differential equation. (i). y' = 1 + 3y tanx Ans. 3y cos³x = c + 3sinx -…

A: Given differential equation y' = 1 + 3ytanx

Q: [₁ dx -1 |x| lim a➜-1+ lim 04-0 dx +- ² + ! lim b+0+ = L lim -0---0 + lim |x| b→1 |x| Soº a de S dx…

A: The objective is to find the correct option.

Q: A fisherman on a wharf 1.7 meters above the level of still water is pulling a rope tied to a boat at…

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Q: This answer is incorrect. Can you try again?

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Q: Consider the indefinite integral a) This can be transformed into a basic integral by letting U = du…

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Q: The graph of one complete period of a cosine curve is given. y 3 f (a) Find the amplitude, period,…

A: We need to find equation of curve.

Q: Determine the Taylor series of f(x) = sinx around x₂ = π

A: Use Taylor series expansion

Q: Solve the initial-value problem y' = (8 sin(x))/sin(y), y(0) = π/2.

A: Topic = Differential equation

Q: Find the area between the graph of y=5-5x^(2/3) and x-axis and [-1,8] using the properties of…

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Q: Solve the given differential equation. dy dx - 6x5√√y-1 Ay=(2x6+C)²+1 B y=[12x6+ c)²+1 There is no…

A: We can solve the given differential equation by using the variable separable method.

Q: Evaluate the definite integral [³ using Part 1 of the Fundamental Theorem of Calculus. (12e +4x) dx…

A: To use fundamental theorem of calculus and integrate.

Q: g(x)= if x < 0 x²-9x if x 20 ax The function g(x) is differentiable for all values of x when a =…

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Q: The rate of growth of a fish population was modeled by the equation 60,000e-0.6t G(t)=- (1+5e-0.6¹)²…

A: According to question,Given equation,Gt = 60,000 e-0.6t1+5e-0.6t2

Q: can you answer the last question?

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Q: Find the singular values 01 202 203 of 01 = 4. A = -4 09 ] -9 0-4

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Q: Evaluate the indefinite integral. 6dx x ln(2x) + C

A: Given ∫6xln2xdx

Q: se the given graph of the derivative of the function on the interval [-2, 6] to answer the following…

A: Graphical problem

Q: a. Find a particular solution to the nonhomogeneous differential equation y" +4y +5y=54ea Yp= help…

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Q: Evaluate the integral by making the appropriate substitution: u = 38 fa² (2³ − 1) ³ dx = [ - 38 fx²…

A: Topic = Integration

Q: . Water flows from the bottom of a storage tank at a rate of r(t) = 200- 4t liters per minute, where…

A: Given query is to find the amount of water flow in first 10 min.

Q: Find the area of the largest rectangle that can be bounded by the x-axis and the parabola y=a-bx2,…

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Q: ​​​​​​​q16.t3 Please Box the answers and do all parts. Please write neat because I have a hard time…

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Q: d dt (2D-1)x+ Dy = et 3Dx + (2D + 1)y = t If D= find a complete solution of:

A: Let's solve given differential equation.

Q: Part I of the Fundamental Theorem of Calculus to find the derivative of the function y = √5√x er y'…

A: Given query is to find the derivative.

Q: Question 3 of 12, Step 2 of 2 Consider the function: f(x)=(x²-4)² Step 2 of 2: Use the Second…

A: Please see the below picture for detailed solution.

Q: Evaluate the definite integral. S √4x + 3dx

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Q: -1 8y ¹ ($) ₁ f(x, y) = tan¯ (Duf) p = ху + 5 sin¯¹ (XY), P = (64, 8), u = 7i+6j 1024

A: Given: f(x,y)= tan-1(8y/x)+ 5Sin-1(xy/1024) Point P(64,8) Vector u= 7i+6j

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: In² x lim x1x²2x + 1 00 0 1 O ∞ O 1 2

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Q: Below is the graph of y = x² + 5. I 30₁ M -4 -3 -2 -1 0 1 2 3 4 5 The area bounded by y = 1² + 5 and…

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Q: A construction company has an expenditure rate of E'(x)=x dollars per day on a particular paving job…

A: We have to find the number of days which yields the maximum profit.

Q: Q1. Find the vector function r(t) given that r(0)= i+2j. and r'(t)= (2et, 3t², 4 cost)

A: The given data is: r0=i+2jr't=2et, 3t2, 4cost Find the vector function rt

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: @- Find the area of the region bounded by the Curves y = sinx, y = cos x, x=0 and x = 2

A: The objective of the question is determine the area of the bounded curve.

Q: 2x + 1 [20+1 0 1 dx = ln |x| − 2 ln x + c O 2 ln |x|ln |x²|+c 2 ln x 1 X + c 1 ○ In |x| - = - + c x

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Q: 2) The solid S consists of the points above xy-plare, below cone x²+y2=2², enclosed by the surfues…

A: According to question,Given cone,x2 + y2 =z2,Given Surfaces,y = x,x = y2.

Q: x = 2+² +4t The position of an object at time t is given by the parametric equations y = 3t² + 5…

A: given  x=2t2+4t  and y=3t2+5formula used is  horizontal velocity =dxdtvertical velocity…

Q: A man wishes to use 155 feet of fencing to enclose a rectangular garden. Determine the maximum…

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Q: Homeostasis refers to a state in which the nutrient content of a consumer is independent of the…

A: Givendydx = 1θyxwhere x and y are the nutrient θ = constant

Q: Find f such that f'(x) = 2x² + 7x-4 and f(0) = 7. f(x) = ...

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Q: A ladder of length 10 meters is leaning against a vertical wall. Due to the smoothness of the…

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