Applications of Integral Calculus - Find the equation for total revenue and average revenue from the firm if marginal revenue is MR = 20 - 8 Q

Q: valuate the given: * 2. S sec t tan5 tdt

A: Using Trigonometry identity and substitution ,

Q: Using Integral Factor Resolve: a) x²y' + xy = 1 b) y'+ y=e3x

A: topic - differential equations

Q: dr V4(5") +1 3

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Q: b) Performing the substitution yields the integral c) Once we integrate and substitute, the final…

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Q: dx | = xVx² - 1

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Q: –2πίαξ e (1+x²)² 50% dx = (1+2π||)e-27§|¸

A: The function is f(x)=e-2πixξ1+x22 The function has poles where 1+x2=0x2=-1x=i,-i These are poles of…

Q: 5. Given the equations, y = 1+ Vx, x = -8, x = 8, and y = 0, answer the following questions: a.…

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Q: Solve the integral. x5 + 3 1. х?(x2 + 2х + 1)

A: Given that  The integral  Using the partial fraction decomposition find the value of the integral

Q: 3 y cos(z5) dx dy dz 0.

A: The given integral is  I=∫01∫0z2∫03y cosz5 dx dy dz

Q: Vydy ,Let y %3D asin?ө а-у Va-y

A: Given : The integral is  ∫ydya-y

Q: ANSWER IN A CLEAN SHEET OF BOND PAPER (HANDWRITTEN). SHOW COMPLETE AND CORRECT SOLUTIONS IN…

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Q: a a-x a-x-y The value of the integral || | x*dxdydz is 0 0 0

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Q: Evaluate the integral. Check your answer by differentiating. (Use C for the constant of…

A: Integrate

Q: r² + 8x + 13 dx (r + 4)² 23

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Q: dx (x²-a²)z

A: The given integral is  I=∫dxx2-a252 Using the substitution, Let x=a sec(u)dx=a sec(u) tan(u) du

Q: d.x (3г — 2) /2 — Зг

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Q: The Riemann sum approximates the net decrease in the volume of the balloon from t = 1 minute to t =…

A: The given table is  To find: the right options.

Q: Integration by parts Show the complete solution, show step by step. ∫ √x ln(x) dx

A: To integrate by parts, ∫xln(x) dx

Q: SV1+ vw_dw

A: ∫1+wdw

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Apply Green's theorem to obtain the result of the line integral…

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Q: (x – 1)(6x – 5) dx

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Q: Show that the integral below is path independent. What is the value of the integral?

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Q: ³dy S- (а?-у?)2 y 5

A: Substitute y=acos θ, then dy=-asinθ .

Q: Use the integration capabilities of a graphing utility to approximate the work done by a press in a…

A: Given: The variable force F (in pounds) is F(x)=800x27-x3.            Interval: 0≤x≤3.

Q: Using one of the techniques for solving integral, the result of: -1+4z+3z-2z' dz? 1+2z

A: Given integral, ∫01-1+4z3+3z-2z21+2z2dz

Q: EsT-2x+1sM Find the exact value of the definite integral. J w x++x+5

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Q: LINEAR DE: FIND THE INTEGRAL FACTOR AND THE GENERAL SOLUTION

A: This question can be solved using the concept of linear differential equation.

Q: 1 dx dy (2x + 3y)²

A: Given that, the integral I=∫12∫01 12x+3y2 dx dy

Q: dx %3D xVx² -1 ||

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Q: 1. x3 I dx 2 1+x 0.

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Q: 8x d.r (2.r2 – 7)5

A: We have to find

Q: 4.r3 – 2.r2 + x+3 dr

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Q: Applications of Integral Calculus Find the total utility equation for a consumer if the marginal…

A: Given  marginal utility MU = 12 - 9Q To find total utility equation of a consumer

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Q: | sin'y cos*y dy 프2

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Q: integration by parts (IBP) show 2 2. Do the same to show that L{t²} and L{t*} = =- Hint: To compute…

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Q: urrent Attempt in Progress Use integration by substitution and the Fundamental Theorem to evaluate…

A: NOTE: Refresh your page if you can't see any equations. . .................(1) substitute…

Q: Using integration by parts solve the given.

A: Given, To evaluate ∫x3x2+22dx

Q: Subject: Integration by parts Evaluate the integral from 0 to 1 of (x^2+6)e^-xdx I am getting…

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Q: Solve using Calculus (Integrals). A swimming pool has the shape of a rectangular box with a base…

A: GIVEN - Rectangular box with a base that measures 25 m by 15 m and a uniform depth of 2.5 m.…

Q: dx 2. (x² +2)°

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Q: dy 1.5: ey sin( e-y)

A: To evaluate the given integral: I=∫dyeysin(e-y)

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: adx r² + x +1 .2

A: Given        ∫xdxx2+x+1

Q: Physically, integrating f(x)dx means finding the a. area to the right of point b. b. area to the…

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Q: Using Integration By Parts, (2x2 e -Svau dx = uv- Find u v- Sv du- 1 6 x2 e - f12 x e3" ax Soxe s".…

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Q: dx х? V4 — х2

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Q: 2. pattern because it suppresses noise from the audience. Suppose the microphone is placed 2 m from…

A: Consider the given figure,

Q: n conditions to write an equation for the line in point-slope form and in slope-int ugh (-5, - 5)…

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