Write the sum of the two iterated integrals as a single iterated integral by converting to polar coordinates. Evaluate the resulting iterated integral. 9√√2/2 √81-x² + Sova1²fo ["wy 10 xy dy dx + xy dy dx dr de =

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A: The given differential equation is d3ydx35-7xd2ydx23+5dydx=11ey

Q: Solve a part only

A: Given the function y=2-xx2 Here, student asked part a) only, hence we are answer part a) only.

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Q: elax upx dx

A: ∫1xlnx23dx

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A: We can  formulate the equation of the function by using the vertical asymptote and the  intercepts.

Q: The graph below is the function f(x) -4 -3 -2 -1 8-1 lim 24-2 4 3 2 1 Determine the following…

A: Solution: As we can see in the graph

Q: Use sigma notation to write the sum. 4 4 1 + 2 1 + 3 4 1 + 1 + + + ... + 4 1 + 19

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Q: Evaluate the integral. L 10 x² + x + 1 (x + 1)²(x + 2)

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Q: lim n→∞ - 17n + 11 11"

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Q: Jse polar coordinates to describe the region shown. y -2 -1 1 1 2 Xx

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Q: Use the one-to-one property of logarithms to solve. (Enter your answers as a comma-separated list.)…

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A: Given: the volume of swimming pool = 10000 gal that contains 0.03% chlorine. at t=0  ,0.002%…

Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) = =

A: To find out the general solution of the given differential equation.

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A: Let's solve.

Q: What is (cos x + x) dx? O-½ sin²x + x²/2 + C ○ -sin x + x²/2 + C O sin x + x²/2 + C O. ½ sin²x +…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' 3y = 8e* - 12 y(x) =

A: To find the solution of the differential equation using undetermined coefficients.

Q: Find the centroid (x, y) of the triangle with vertices at (0, 0), (10, 0), and (0, 2). 18 15 X=

A: Consider a triangle with vertices at (0,0),(10,0) and (0,2)

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

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A: Given that      differential equation   6y''+y'-y = 0      ,        y1= ex3         and…

Q: Use Properties of Exponents and Properties of Logarithms to simplify and the following expression…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e* - 12 y(x) =

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Q: Consider the following problem. A bicyclist is riding on a path modeled by the function f(x) =…

A: The following question belongs to sort trick question where we are provided with extra information.…

Q: need the answer quickly

A: simplification

Q: part, and you will not be able to come back to the skipped part. Tutorial Exercise Solve the…

A: The given differential equation is;  y''+3y'+2y=1/(8+ex).

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Q: -2y -2y (²²7) dx + e dy = 0 ex + x

A: Different ial eq is homogenous.

Q: Please

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Q: Use the summation formulas to rewrite the expression without the summation notation. S(n): = 8i + 7…

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Q: 2 2 6 8

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Q: 9. Give a geometrical interpretation of the intersection of the planes with equations x+y-3=0…

A: Give a geometrical interpretation of the intersection of the planes with equation. x+y-3=0 y+z+5=0…

Q: 14-13-12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Find an equation for the graph above. 4+h(t) 27 2 1 2 -2-…

A: The given graph is:   Consider the function is: y=AsinBx-C+D From the given graph, the maximum…

Q: Find the area bounded by the curve y=x^2 and the x-axis and the lines x=1 and x=3.

A: Given: y=x2, x=1, x=3, and x-axis or y=0. So, from the given curves the bounded region is as shown…

Q: Evaluate the iterated integral. 2y 1²1,²% (10 + 8x² + 6y²) dx d 0 ly

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Q: (4x²y² - x² + 4xy² - x) dx + (2xy + x + 2y + 1)dy = 0

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Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 40 and P =…

A: Given that    Three positive numbers x,y and z                The sum of these numbers is 40.…

Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: Evaluate the iterated integral. 2 . (x+y+z) dx dz dy

A: The given integral is: I=∫02∫08∫01x+y+zdxdzdy   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: 7. Determine the intersection, if any, of the planes with equations x +y-z + 12 =0 and 2x + 4y - 3z…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: 2-8-7-5-9-4-8 6-of-it-ct-st- t-t-et-Lt-st-et-at- Find an equation for the graph above. laruto 34 3 2…

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

Q: (2xy - x + 2y - 1) dx + (8x² y² -2x + 4xy2 - x) dy = 0

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Q: gas station stands at the intersection of a north-south and east-west road. A police car is…

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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