Evaluate I = fc (sin(x) + 4y) dx + (9x + 7y) dy for the nonclosed path ABCD in the figure.

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: the coordinates of the shadow point k (5,-4) which are translated by T=((-2)/(1)) and followed by…

A: The given point is:k=(5, -4)

Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

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Q: Find the Integrating factor of: dy + y. sec5x = tan5x dx 1 (sec5x + tan5x) 5 O sec5х — tanп5x + 5 O…

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Q: What is the distance from P(2,4) to 2x-3y+1=0?

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Q: 2.) 2 (x -y)dx + (3x² - GxY - 2x) dy

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Q: Find the dim U where -3 4 U = Span 1 -9

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Q: . Evaluate JVy³ + 1 dydx

A: Given,          ∫01∫x1y3+1dydx

Q: 8. Given f(x+ y) = f(x) + f(y) + 2xy for all a, y E R and f'(0) = 0. Find f(0), f'(r), and f(x).

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Q: Identify the prey and predatory from the following Equations a) dx/dt=-0.06X+0.0002xy…

A: Given two differential equations We have to find out prey and predatory from the following…

Q: Use Cramer's rule find yhe solution of x1: 2x1+X2-3x3=0 4x1+5x2+X3=8 -2x1-x+4x3=2

A: write the matrix D from the given equations  D=21-3451-2-14 calculate the determinant D…

Q: Use Cramer's rule to solve for y (y only) in x+y=z=6 3x - 2y+z=-5 x + 3y - 2z = 14

A: The given system of linear equations, x+y-z=63x-2y+z=-5x+3y-2z=14 We have to find the value of y…

Q: Give the equivalent exact xy-coordinates of (-2, 5pi/3)

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Q: d 1) Find sec dt 2)

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Q: 3 1-x Find [, [* (x³ + y)dydx

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Q: a z = 4x³-6x²y²-y com x= 2sen(t) y=-3cos(t) e

A: #As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: The graph of the function fCX)=x²+dx+q has only one X-intercept Select a valve for d that satifies…

A: For quadratic equation to be only one x-intercept , discriminant should be equal to zero.

Q: For two points (x1, y1) and  (x2, y2) such that xi > 0, yi > 0 for i = 1, 2, we say  (x2,…

A: There are about 4 functions provided.To show:They are Schur convex or not.Concept used:i) Any…

Q: 1. Find y if y =x In(4x+1).

A: Use the product rule of differentiation.

Q: Consider the equation x² + y³ + zª − 8xyz = z². Find z point (1,1,1). at the

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Q: Using the substitution u = (A) (B) C D 1+1 du [₁ -1/2 du [(u ¹/2 - u-1/2) d du (u - 1) / u-²1) x + 1…

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Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: 2 dy 67 +13

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Q: Determine the vesulting equaton Determine the vesulting equaton after using the suitable…

A: We have to find

Q: 2) (Зx2у + 4eУ)dx + (x3 + 4хеУ + 2у)dy

A:

Q: Evaluate [ T 1-x² x² + y² dydx.

A: Given: The integral is ∫022∫x1-x2x2+y2dydx. The aim is to evaluate the given integral. Concept:  The…

Q: Evaluate [1+(x- 1)2 +4y²]dydx

A: Given: The given integral is ∫03∫021+x-12+4y2dydx. Integrate the integral with respect to y.…

Q: Use Cramer’s rule to solve for x 2x=3y-4z+11 9x+y=z-1 3x-4y=7

A: Given,

Q: If 2x = xy + y2, then A. C. -2 + y x + 2y (2-y) x + 2y dx 11 B. D. -(2 + y) x + 2y -(-2+ y) x + 2xy

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Q: 2 ( D° _ 2D - 20 - 3D - 2) y = 0 = 9

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.