Q4: A) For each of the following ,find fx fy fxx fy fyx and fxy 1.f(x, y) = ln(2x + 3y). 2.f(x, y) = sin²(x - 3y) 3.f(x, y) = √(x + y²)

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A: The given graph is:

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A: The given integral is (2x-3) /sqrt(x2-3x+1), limit from 3 to 5.

Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: (a) lim x→0+ (sina) 1 (b)…

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A: Given, ∫-13∫02(x2-y2)2(x+y)dudt

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A: A detailed solution is given below.

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A: The integration of the integrals are;  1)z5 2)y1/3 3)6/x4. Repost the next parts.

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Q: Solve the given differential equation. All solutions should be found. dy e5x+11y = dx NOTE: Use c…

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Q: Evaluate: 1+ 2y dy dx •x x2

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Q: f(x, y) = = /25 - (x - 2)² - y²

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Q: INSTRUCTIONS: Please write clearly and understandable way. • Write all the corresponding Given with…

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

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Q: 2. Find the total area under the curve f(x) = 2xe² from x = 0 and x = 5.

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Q: 10) y7 exbx

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Q: xy³ Q3: Let f(x,y)=2x²+y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point…

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Q: Give 1 problem of partial differentiation of function of U with respect to 3 independent variables…

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Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

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Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A: Let's find area of region bounded by given curve and y axis.

Q: PARKING THIS BLOCK 2AM TO 5AM 2 HOUR PARKING THIS BLOCK 9AM 6PM EXCEPT SUNDAYS 15 MINUTE PARKING…

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Q: Evaluate sin (x) e-x dx by use Simpson's rule. h= 0.5

A: This is a problem related to integration part of the mathematics. Based on the general formula and…

Q: Find the area of the region bounded by the curves 1 y = (x+8)2 y = 4 and the x-axis using vertical…

A: Explanation of the answer is as follows

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A:

Q: elaborate pls, i could not understand the flow of the solution

A: We have to elaborate the solution.

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A: (1) we have to fill in the blanks Let I be a proper ideal of the commutative ring r with identity.…

Q: Determine the roots of y"" - 3y" - y' + 3y = 0

A: The given differential equation is: y'''-3y''-y'+3y=0   So, we can also write as; D3-3D2-D+3y=0

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Q: 2 ³₁²₁²[z³(x + y)³] dz dy dx -4 J

A: In this question we have to solve the given triple integral.

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Q: In Evaluate the integral: Sto st² sin s teu du ds dt

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Q: Evaluate √x/2 6sinx(cosx+1) do

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Q: from the date set, find the value of f(7) by use lagrang method 3 6 9 11 12 13 14 16 XX y

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Q: 3 Evaluate: ³₁²₁ ¹²[z³(x + y)³] dz dy dx -4 1

A: Given