-0o (x2 + 1 Evaluate the integral if it converges. Enter the exact answer, or enter na if it diverges. +00

Q: Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all o...

A: Given problem:- Determine the values of a, b, and c such that the cubic function f(x)=ax3 + bx2 + cx...

Q: Find the points of Intersection of the graphs of the equations. x+y%= 15 -3x +y%3D 11 (x, y) = (smal...

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Q: 7. Let C be the curve y = 3x for 0 <x S 1. 0.5 Find the surface area of revolution of C about the x-...

A: Given: y=3x3 for 0≤x≤1

Q: 9 y= Arctan( 1-2x

A: Use simple differentiation twice to get the answer.

Q: If cos? 0 – 3 cos 0 +2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is 8. 3 ...

A: Given query is to find the value of indicated expression.

Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 22n+2"+1...

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Q: Sx² + 1, x > 1 Зх — 1, х < 1 f(x) = Calculate the purpose of the following functions

A: topic -  limit and continuity 

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

A: The given function,   f(x)=ln x, 0&lt;x≤3

Q: 3. Use the Comparison Test to determine if the series 5n — сos 2n n³ + n² + 1 n=1 Converges or diver...

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Q: What is the particular solution to the differential equation with the initial dx condition y(-2) = 3...

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Q: The range of the function f(x, y) = 16-4x-9y is equal to: [0, 16] [0, 16[ This option This option [0...

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Q: The functions f(x) = −(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 have been rewritten using the completing-...

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Q: The quantity of a substance can be modeled by the function N(t) that satisfies the differential equa...

A: We have to find the quantity of substance at t=1.8.

Q: -3 dx /2 х-1

A: The given integral,        ∫23dxx-1

Q: Q1) For the following functions, find fxx, fyy, fxy and fyx. 1. f(x, y) = e* + x In y + y In x

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

Q: Question 4 Evaluate the integral *dx, 2" -+C In2 A +C In2 B 2 -+C In2 D +C In2

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Q: y=5Xy-2x

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

Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1 converges or diver...

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Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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Q: Consider the function f(x) = 4x - 8r on the interval (0, 4]. Find the absolute extrema for the funct...

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Q: 3 8. f (t) = (10t)z %3D 9. f(t) = tg'(t)

A: Given  f(t)=10t32 To find Laplace transform: 

Q: Use the First Derivative Test to find relative (local) maximum points, if any, of the given function...

A: a) y=x3-xDifferentiatey'=3x2-1For local max or miny'=03x2-1=0x2=13x=±13x=-13,13Substitute x=-13 in y...

Q: Exercise 1 Determine the relative extrema of f. (a) f(x, y) = 18x² – 32y² – 36x – 128y – 110

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

A: Find your answer below 

Q: Change the order of integration and evaluate the new iterated integral. int _0^1 int _y^1 (x^2 e^(xy...

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Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: dx

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Q: Find the average value of the function on the indicated interval: 2. f(x) = 3xVx² – 16; x € [4,5] -

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an f(x)...

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Q: An expression that can be obtained from 4 sin 20 cos 20 + 13 sin 20 cos 20 cos 20

A: Given,            The expression is 4sin2θcos2θ+5cos2θ=13sin2θcos2θ.To find : The another expression...

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: Whose ares is given by the double Integral. 1 2 5 6 7 1 2 3 4 5 6 7 8 Change the order of Integratio...

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Q: find the second derivative of y=[(tane^2x)+(e^tan3x)]

A: The guven function, y=tane2x+etan(3x)

Q: Sketch the level curves of the function f(x, y) = y – 3x² for c = 2. 8+ 5- 4 2 -6 -5 -4 -3 -2 -1 4 -...

A: Explanation of the answer is as follows

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. g(t) = |5t...

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Q: Write an equation of the line tangent to this curve at point A r = −8 sin(θ)  polar coordinate (-4...

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

Q: Find the absolute maximum and minimum of f(x,y)= 4xy^2 - (x^2)(y^2) - xy^3 on the closed triangular ...

A: f(x,y)=4xy2-x2y2-xy3fx=4y2-2xy2-y3fx=04y2-2xy2-y3=04-2x-y=0 ...(1)fy=8xy-2x2y-3xy2fy=08xy-2x2y-3xy2=...

Q: 5. THE NORMAL COMPONENT OF ACCELERATION OF AN OBJECT MOVING WITH VELOCITY VIN A CIRCLE = fcv,r) = r ...

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Q: Select the answer that is equal to e#/² f(x) dx. Show workings. A. 2e*/2f(x) +2 | e=/² f'(x) dx B. e...

A: To solve the problem we use integration by parts formula. From integration by parts we get: ∫uv dx =...

Q: Kyra is building a dollhouse. The carpet for the bedroom is 27 square inches. The length of the bedr...

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Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: eiz-e-iz 1. Show that Sin z 2i

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Q: Number 62 please

A: 62.] Concept:- For an alternating series let the sum of partial sum is sn then sn - sn-1 for n&gt;= ...

Q: A particular computing company finds that its weekly profit, in dollars, from the production and sal...

A: P(x)=-0.005x3-0.1x2+600x-800a)P(10)=-0.005(103)-0.1(102)+600(10)-800P(10)=-5-10+6000-800P(10)=5185Cu...

Q: 1. y= x-x'cosx + 2xsinx + 2cosx

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Q: Question 7 4dy Evaluate the integral ; 5y +2 (A In|5y +2| +C 5 (B -2미by+ 리 + C In|5y +2| + C (D In|5...

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Q: Verify that the series n4 + 1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

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Q: Solve the following. 1. Consider the curve of the function f (x) = 2x2 a. Find an expression for the...

A: I am attaching image so that you understand each and every step.

Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

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