2 · S² f 0 Given f(x,y) = x²y-3xy³. Evaluate A-6y³ +8y/3 14y-27y3 B 6 6x² - 45x 4 D 2x² - 12x BARCE fdx

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A: From the given graph of the region, we have to find its area

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A: Here we have to find the arc length.

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A: We need to set up integral.

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A: Following functions doesn't have domain of (-∞, ∞).

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A: Given problem:- The region in the first quadrant bounded by the graph of y = 8 - x3/2 , the x-axis,…

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A: Let's find total work(W).

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Q: Question 8 Which of the following integrals would best approximate the area of the region bounded by…

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Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

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Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

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Q: ·S. Given : dx. If we let the substitution =√√√4x-5, the resulting integral becomes 4x-3 (2u²+11) ^…

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Q: y = x3 – xẻCOSX + 2xsinx +2coSXX

A: derivative

Q: Differential equation x² 2xln(y)dx + dy = 0 y

A: If the equation Mdx +Ndy =0 is exact i.e, ∂M∂y=∂N∂x , then the solution is      ∫y constant M dx…

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

Q: Given: c= 8, a = 5, C = 67°

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Q: 2. Given the following logarithmic expression: log, 1+ 2log 5 + log₂ 2 +log, c-log, 100 Which of the…

A: Given: logc1+2logc5+logc2+logcc-12logc100

Q: 9. y = 3 Arcsec 3x

A: On solving this we will get

Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: Find the derivative of x2cosx+2xsin x O 2xcos x O x² sin x + 2xcos x Ọ xzcosx y=x²sinx

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Q: 37. If antiderivative of m+p is equal to - 8 X³ √₁+2x² (B) 5 which passes through (1, 2) is…

A: We need to choose correct option.

Q: 1. Evaluate the integral using atrial fractions method: 3x² -dx (x − 1)(x² + x +1)

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Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

A: Solution is here

Q: Exponential and Logarithmic Functions 11. Use the properties of logarithms to fully expand the…

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Q: Find the radius of convergence, R, of the series. 00 (x-4)" n+1 n = 0 R = 1 Find the interval, I, of…

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Q: soon as posible

A: We will use substitution.

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Q: 4. 2x3ý = y (y² + 3x²)

A: The given differential equation is  2x3y'=y(y2+3x2).

Q: arccot x arctan x arccos x arcsin x arccsc x arcsec x

A: Given that the inverse of trigonometry function  To find the domain

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Q: 9. Evaluate 18x dV where E' is the region behind the surface y = 4 - 2² that is in front of the…

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Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

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Q: Evaluate Th - dx ¹1+x

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Q: Evaluate r5/6 -π/6 2 cos 0 fo² 0 r sin Ødr de.

A: We have to evaluate ∫-π65π6∫02 cos θr sin θ dr dθ.

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A: Given function h(x)=4xx(x2-9)

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Q: 5. Solve the differential equation. 2xy¹ = x² +2,_y(1)=−3 dy dx Write Answer In Simplest Form And…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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