2х2 -бх+4 dx X-3

Q: ,5x-2 If f(x) = 2 + e%r-2 %3D then f-'(3) = %3D

A: Topic = Functions

Q: Evaluate: " sin7 cos4 dx

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Q: alculate the curvature of the vector function when t=0.1: 7(t) = (e", V2t, et)

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Q: 5 dA over the region R = {(x, y) | 0 < I< 5,0 < y < 3} by identifying it as the volume of a solid.

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Q: 3000 people are infected when the pandemic is first discovered. 16000 people are infected 7 days lat...

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Q: 1 ==(² + 2) from y = 0 toy = 5. Find the exact arc length of the curve x = %3D 3 Enter the exact ans...

A: The curve x=13y2+232 from y=0 to y=5

Q: 2t dt (use trigonometric substituion) V9 – 4t2 -

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Q: 4 Vva – 1dx 2

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Q: Find the area bounded by the parabolas (x 1) 4ay and y2 + 4a = 4ax.

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Q: Find the most general antiderivative. dx

A: Given,           ∫1x5-x5-13dxTo find : The antiderivative of the given function.

Q: 1 dx (2x + 1)4

A: We will use concept of improper integral here. 

Q: Let fit)=F(t), where F (1) = 41-– 5r°+5t_ Evaluate the following integral using the Fundamental Theo...

A: From the fundamental theorem of calculus; If, dFxdx=fx, then  ∫abfxdx=Fxab=Fb-Fa   Given: ft=F't, Ft...

Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A: To find the rate of change of unit revenue, We will differentiate the given relation formula with re...

Q: g(x) = 190 + 8x3 + x4 (a) Find the interval of increase. (Enter your answer in interval notation.) F...

A: Given g(x)=190+8x^3+x^4

Q: If f(a) = 7cot- * +2, then find the value of f(-4) is, 17

A: Given query is to find the derivative and indicated value of x.

Q: 9 dx dy y² 0. 2

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Q: A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7 M Gmail 9 YouTube Profile 3...Jlabilu P PicsArt...

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Q: 00 e-2y dy

A: Given query is to eveluate the integral.

Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 from t = ...

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Q: For WHAT VALUES OF THE EXPONENT m is the function y = xm a solution of the differential equation: x?...

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Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(4x+24)+1.1   E...

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Q: Homework Content Question 1 Write an equivalent double integral with the order of integration revers...

A: Given: ∫08∫0xdydx

Q: dt 10 A 3 +t+c B) 128+금2. 8t + - t2 D +C + 20

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: Given query is to find the are of the region bounded by the curve.

Q: cot5 z csc³ zdz z csc

A: Given :∫cot5z csc3z dz

Q: Find the values of x for which the series converg n- 0 -0, – 5) U (5,0) Find the sum of the series f...

A: We need to find sum of the series.

Q: (a) -r -8x – 15 5(x³ – x) > 5(x³ – r)

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Q: Identify the length of the arc having parametric equations x = t3 and y = 2t2 from t = -2 to t = 0

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Q: S- dx = In]x| – e* + C 5. S 2²+3*dx = 4| + C In 8

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Q: (3x² + 1 +) dx 2х2

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Q: Find the area of the region bounded by y cos x, y = 1, and x =

A: Given curves are  y=cosx ,y=1 and x=π/2

Q: Find the integral. S 12:3 k dx x9/2 + C B x9/2 + C x9/2 + C 24 x9/2 + C A,

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Q: The integral of tln i with respect to t is; © none of the given choices Oin-3)+c ln-1)+C

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Q: f (x, y) = xª – 2.x² + y² – 4y + 5. a) Use the second derivative test to find the critical points b)...

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Q: Evaluate the integral J sin. sinh? (2x) cosh (2x) dx. sinf(2x) A +C 9. sinh(2x) +C B 8. costf(2x) + ...

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Q: xsin-xdx The antiderivative of -V1-x2 sin-!x +C A True B) False

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Q: • 2b 26² – 12 2a2 dx a³ +b?x+3x²+3b² - - Evaluate

A: Solution: Apply linearity -2∫b2bx2+6x-b2x3+b2x+3x2+3b2dx   .............................(1)

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 + 1...

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Q: -3 dx dy 0, y2

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Q: dr = Blank 1 Evaluate the Definite Integral 0. I+8x Blank 1 Add your answer

A: A detailed solution is given below

Q: Match the integral expression on the left to an equal expression on the right. (cos(x)- Prompts Subm...

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

Q: solutions

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Q: NTEGRATE THE FOLLOWING (use integration techniques) - S sin rsin4rdx

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Q: Use the shell method to find the volumes of the solids generated by revolving the shaded region abou...

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

Q: You deposit $2000 in an account earning 5% interest compounded continuously. How much will you have ...

A: topic - exponential function

Q: Determine S" sin® ) cos? () dx XIN

A: Given integral ∫0π sin8x2 cos2x2 dx

Q: Question 3 Determine whether the improper integral converges or diverges. 14e5x dx A Diverges B Conv...

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Q: the plece wises f uc tion below Find fon the L,じ,ondL asxtO of sinx = (x7f ex-1 %3D *ンo

A: Given query is to find the limit of the function at x= 0.

Q: Q14

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Q: 1. Evaluate the definite integral S ,2 C (9x² + 5)dx by the limit definition.

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