2. Compute and x² - y² (x² + y²)2dX(y)dX(x) [0,1] [0,1] 0.1 - San Sas (2² +2²³)2 A(z) dx (1). [0,1] [0,1] 1 zdX(x)dX(y). (Hint: they should not be equal). Explain why this d

Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (4, -9)

A: Solution :-

Q: dy evaluate dx (sinx+1) 5-1f: y = (cosr+1)

A:

Q: 17 i

A: Explanation of the answer is as follows

Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

Q: (b) Evaluate f, /2+ ]x| dx by method of substitution.

A: Break integral into two part then solve

Q: dy -is If y = In(x-5), then dx 4x x-5 4. 3x 4 x-5 4x 3. 4x +5

A:

Q: (6x + y2) dx + y(2x - 3y) dy = 0. evaluate

A: The given differential equation is                                    (6x+y2)dx+y(2x-3y)=0

Q: 36) 2 1² S y √8-y² (x + y) dx dy

A:

Q: (4х — 5у + 6)dx + (7x— 2у — 3) dy %3D0

A: Given that 4x-5y+6dx=7x-2y-3dy=0dydx=-4x-5y+67x-2y-3this form is equation reduciable to homogeneous…

Q: Determine for which value of m the function $(x) = x" is a solution to the given equation. d²y dy…

A:

Q: Evaluate cex-y) dx + C (x+3Y) dy C:xaxis from (0,0) to (0,-3) and 0-3) to (5,-3).

A: To Evaluate: ∫C2x-ydx+x+3ydyC: x-axis from 0,0 to 0,-3 and 0,-3 to 5,-3.

Q: if y = 3x2-2x+5 , determine dy/dx using the definition.

A:

Q: : )-+(÷), zw= (C) dx 1 et %3D dt 1 (: :)-+(-), -= (C) dx dt 1

A: Given dxdt=0110 x +ete-t Here let take A= 0110A-λI=-λ11-λ=0λ2-1=0λ=±1 Hence the eigen vector for 1…

Q: Let f(x) = 3x+ 4x. Evaluate dy when x=2 and dx=0.1

A: Given that fx=3x2+4x To evaluate dy when x = 2 and dx = 0.1.

Q: Evaluate 112 (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 2

A: To evaluate the given line integral

Q: Using the basic formulas and change of variables, integrate the following: 1. S (3x3-1)2 2. Sdx xp*…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find y in terms of x. dy = x 2 + 5, curve passes through (0, 14) dx x3 A) y = + 5x 3 B y = x3 + 5x +…

A:

Q: Calculate using polar coordinates. √4-7² 2 siste o x² + y² dy dx

A:

Q: . Find P.S. of (16x +5y) dx + (3x+y) dy = 0 of the curre to pass thru the point (1,-3) 2. Find P.S.…

A:

Q: Assume that y is a function of x. Find (d2y)/(dx2) for x2y-y2-2(sqrt x)+4=0 at point (1,2) 7/6 8/6…

A:

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7) 21

A:

Q: |*x*リ (2 JIS (x+Sy+w2) dzoy dx

A: Given: ∫01∫xx2∫x-yx+y(x+5y+10z)dz dy dx=∫01∫xx2xz+5yz+10z2x-yx+y dy dx=∫01∫xx222x2+10xy+20y2 dy…

Q: dy (x³ + 1)(x² – 2x-1+ 1) of y = dx x² + 3

A: y=(x3+1)(x2-2x-1+1)x2+3

Q: Find the dx/dy of 2x² + 4y² = 4.

A:

Q: (x³ + y² + z) dx dy dz. 2 Evaluate

A: To evaluate the integral

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (2, -7) 323 2

A: Here to find the value of line integral we consider two path c1 :from the point (0, 0) to (0, -7)…

Q: Evaluate f(f(x+2y)dy) dx.

A:

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

A: