of Find - for the following function. and 5xy f(x.y) = e In (3y)

Q: -3 3 sec? 6. dx du =. answer:

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Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: TE THE FOLLOWING (x5- 2x3-2x)dx x²+ 10

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Q: tan e de gec e + 4 cose

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Q: 3. Determine the 4th derivative of: y = 2x'e* [y(4) = 2e*(x³ – 12x? + 36x – 24)I

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

Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

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Q: Problems for Accumulation: 1. A businessman borrows P4,200 for 3 years at 5 1/2 % simple interest.…

A: To find out the amount that the business owner must repay.

Q: > arctan (n) n=1

A: Given

Q: the sum of the series by using the first six terms. (See Example 4. Round your answer to four…

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Q: 4) (1, 150°) 90° 120° 60° 150° 30° 180° 2 210° 330 240° 300° 270° 4.

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Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

Q: 4. Solve the equation: (D² – 3D + 2) y = 2e* + 8 O y = cje2* + c2xe¯* + 4 + e* O y = cje2* + czeť +…

A: Explanation of the answer is as follows

Q: 2x²+x² x dx

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Q: 2

A: Here we can see as t approaching to 12 , graph is approaching towards 150.

Q: dy (x– 2)³ · (2x + 1)ª Find if y = dx|, e2x . Vx+8 Use logarithmic differentiation.

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Q: Consider the R 2 − R function defined by f(x, y) = 3x + 2y. Prove from first principles that lim…

A: Given function F(x,y)=3x+2y Take path  Y=-x  X→1 then y→-1 Then function F(x)= 3x-2x=x

Q: ydy -7-8-4 2.

A: Topic:- integration

Q: Use the Divergence Theorem to evaluate F N dS and find the outward flux of F through the surface of…

A: See is solution

Q: 16-17. Find the derivative: y = (x2 – 4x + 2)(2x3 – x2 + 4) A) 2x*- 36x³ + 24x2 + 4x -1 B) 2x* –…

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Q: x[1+ (In x) ] xp

A: This question is based on indefinite integral.

Q: Q3: Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

A: Given

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: 5. Use the shell method to find the volume of an ellipsoid formed when that part of the ellipse x2 +…

A: Given

Q: EVALUATE THE FOLLOWING cot x dx 4 sınx + csC X 1.

A: A detailed solution is given below

Q: Suppose f(x, y) = xy + 4. Compute the following values: f(x + 4y, x – 4y)= - f(xy, 6x²y³)=

A: We can find the given function .

Q: If f(1) = 13, f' is continuous, and f'(t) dt = 28, what is the value of f(4)?

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Q: Use the theorem of Leibniz in the following problems: If y=x³e2x find y(m) and hence y(3). julm) =…

A: Leibniz rule states that (f(x)⋅g(x))n=∑r=0n Cr nf(n−r)(x)⋅gr(x) Let fx=e2x and gx=x3

Q: Problem set 1 (Plane Figures) Solve the problems below using the following steps; i.) Sketch the…

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Q: dx cot 2x cos 2x 4,

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Q: 8. If y = (x* +2x²)e2* determine an expansion for y(5). %3D [y(5) = e2x24(2x³ + 19x² + 50x + 35)]

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Q: 4. csc 2x lx

A: The integration of the integral is csc3(2x).

Q: 18-19. In xy = 4, let x and y be differentiable functions of t. Evaluate at x = 10 and = 20. dt dy…

A: A detailed solution is given below.

Q: 2. Evaluate xy(z + 2) dx dy dz

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Q: (3x-2) dx x²+ 2x + 15

A: the given problem is solved below in detail.

Q: 09. lim, " -т(csc Tх) (Inx)| x)(Inx)]

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: 22-23. The top of a 25-foot ladder is sliding down a vertical wall at a constant rate of 4 feet per…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: 4. STT- COs y dy -COS

A: The objective of the question is evaluate the indefinite integral.

Q: Homogeneou dinan Equati on Oblain the differemtial equation 1. y= 7-2x + e

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Q: Determine the exact solution of the following differential equation y = 2 - y at y(0) =1. So the…

A: See this solution in below

Q: T/2. 1. Let R be the region bounded by the graph of f(x) - sin x, the x-axis, and the vertical line…

A: Given the region is bounded by the f(x)=sinx2 and line x=π2 and x axis.

Q: Are the Following Vectors Linearly Dependent or Independent? 1) (3,4), (4,3) Ans. Independent

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Q: tan e de sece+ 4 cos € COS

A: The given integral is tan(phi)/[sec(phi)+4cos(phi)]

Q: ydy -ヌ-9-y 7-8. 2.

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Q: - The demand for your item is given by the following function 2 - 8z (z-8)(z² + 3) Find what number…

A: The given demand function Dx=-x2-8xx-8x2+3+100, so, x≥0. To find the number of products to be sold…

Q: (メ+ッ)dx + (x4ッ)dy =0 dx dy x yz x?y

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Q: SxV-1 dx 16.What is the inner/main function ? 17. What is the derivative of the inner/main function…

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Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: y" - y " -2y' = 0 O y = cje* + c2 + C3e2* O y = cje* + cze* + cze2*

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Q: 1.6 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION

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