2. Calculate (y+ z)dx+(x+z)dy + (x+ y)dz , where C consists of line segments from (0,0,0) to (3,2,4) and then from (3,2,4) to (0,1,1).

Q: If C is the line segment from (6, 1) to, (0,0), find the value of the line integral: S(5y i+ x) • dr…

A:

Q: Evaluate O xy?dx + a°dy, where C is the rectangle with vertices (0,0), (6,0), (6,3), and (0,3)

A:

Q: 24. Evaluate x² dx + yz dy + (y²/2) dz along the line segment C joining (0, 0, 0) to (0, 3, 4).

A:

Q: Use Green Theorem to evaluate C P xydx+e'dy where Cis the path from (0,0) to (1,1) along the graph…

A:

Q: Evaluate the line integral ſc 2y dx + 6x dy where C is the straight line path from (4, 1) to (6, 5).…

A: Given query is to find the integral.

Q: Suppose z = x- + y°. Then dz/dt = dx 2- +5 dt dt dx dy +5y dt 2x dt dy dx 10 dt dt dx dy +5y- 2x- dt…

A: Given,                 z = x² + y⁵

Q: fc (y+z) dx (x+z)dy+ y2 dz, C consists of line segments from (0,0,0) to  (1,0,1)  and  (1,0,1)  to…

A:

Q: Compute Scy dx + xy dy if C goes from (0,0) to (1,2) along the line parameterized as x = t, y = 2t.

A:

Q: dz If z%3D (х +у) In(x + y) then dx

A:

Q: Compute Ay and dy for the given values of x and dx = Ax. y = x2 - 4x, x = 3, Ax = 0.5 Ay = dy Sketch…

A: In this question we have to find the value of △y and dy.

Q: If  x2 +y2+z2  = 9,dx/dt  =5 , and dy/dt  =4, find dz/dtwhen (x,y,z) =(2, 2,1).

A:

Q: Rotate the region bounded by y = 6e 2" and y = 6+ 4x - 2x between a = 0 and a = 1 about the line y =…

A:

Q: Set up the line integral ∫c x2z ds, where c is the line segment from (1, 6, -1) to (- 4, 1, 5). (No…

A:

Q: Use the Separation of Variables to solve the boundary-value problem u +u, =0, 0<x<a,0<y<b

A: In this question, we have to solve the Laplace equation by using separation of variable.

Q: I need help finding the absolute maximum and minimum values of f on the set D.

A:

Q: The area bounded by the curve y3a and the lines z 4 and a-9 above the z-azis is aquare units O 27v0…

A:

Q: If C is the line segment from (1, 3) to, (0, 0), find the value of the line integral: 3y i+ 3x j) ·…

A: Given If C is the line segment from (1, 3) to, (0, 0),

Q: (1- y*)dx + (x° + e*)dy where C is the boundary of the region between the circles x² + y² = 4 and x²…

A:

Q: If F = (2z+ y,z, 2y+x) and S is a unit square in the yz-plane with its normal in the positive…

A: Consider the given vector F.

Q: fc (x+2y) dx + x2 dy, c consists of line segments from(0,0) to (2,1)  and (2,1) to (3,0)

A: ∫c(x+2y) dx + x2 dy c consists of line segments from (0,0) to (2,1)  and (2,1) to (3,0).

Q: Find the path of a heat-seeking particle placed at point P on a metal plate whose temperature at (x,…

A: In the question it is asked to find the path of a heat-seeking particle placed at point P. Given:…

Q: Compute Ay and dy for the given values of x and dx = Ax. у- х2 - 4х, х - з, дх - 0.5 Ay = dy Sketch…

A:

Q: 38. Calculate y = x, x = 0, and x = 1. || e* dA, where D is bounded by the lines y =x +1,

A: We have to find ∫∫D ex dA, where D is bounded by the lines y=x+1, y=x, x=0 and x=1

Q: If C is the line segment from (1,3) to, (0, 0), find the value of the line integral: S(3y² i +3x}) ·…

A:

Q: (b) ſf f(x,y) dA if f(x, y) = y², where R is the triangular region with vertices (0, 1), (1, 2) and…

A:

Q: 1 Find the points of discontinuity of y = where и +и - 2 1 u = * - 1

A:

Q: 3. Evaluate the line integral y² dx + x²y dy where C' is the rectangle with vertices (0,0), (5,0),…

A: Solution is below

Q: Evaluate xy dx + a*dy, where C is the rectangle with vertices (0,0), (2,0), (2,1), and (0,1)

A:

Q: Identify the transacation of point P x + 3, y + 1). ddf2d92a ddf892d342a ddf892d342a dd1892d342a…

A:

Q: a) Evaluate the line integral S. (2x – y) dx – (x + 3y) dy, where C is a straight line from (1,1) to…

A:

Q: Integrate h (x. y.2) = yzi+xj+xzk over the indicated path: the line segment from (0. 0. 0) to (1. 1,…

A:

Q: Use Green's Theorem to calculate 4. [(x² – xy) dx + (y² - 2xy) dy] where C is a square with vertices…

A:

Q: Evaluate p(10ey – 9x)dy – (yx – 5 In x)dx by using Green's Theorem where C is a trapezium with…

A:

Q: 1 calculate I f(x,y) dx and S f(x,y) dy 0. 0. 2 f(x,y) = 2xy – 3x %3D -

A:

Q: (A) Evaluate" [(x² + y)dx + (x + 1) 1+ along the path ABCA shown in figure C(0,3) A(0,1) x=3sint…

A:

Q: 2. Compute ¡ E x dV , where E “ tpx, y, zq | x ď 0, z ď 0, x2 ` y 2 ` z 2 ď 9u

A: The given integral,

Q: can u help me with pullbacks and integration plz

A: Given that the integral,

Q: Calculate (y+z)dx+ (x+ z)dy+ (x+y)dz , where C consists of line segments from (0,0,0) to (3,2,4) and…

A: We will use parametric equation of lines to find the integral

Q: If C is the line segment from (1, 4, 2) to (3, 2, 1), evaluate the line integral y+ 2) ds.

A: Express the line segment in its parametric form and then use the formula below to evaluate the line…

Q: 3. Evaluate the line integral sin(y) dx + (x cos(y) – sin(y)) dy, where C is the straight line from…

A:

Q: S, (x + 2y) dx + x dy. C consists of line segments from (0. 0) to (2. 1) and from (2, 1) to (3, 0)

A:

Q: when y and u are defined as follows. y = 3u2 + 7   and   u = x2 + 9

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

Q: 2. Suppose that the edge lengths r, y, and z of a closed rectangular box are changing at the…

A:

Q: Suppose that the edge lengths x, y, and z of a closed rectangular box are changing at the following…

A: To determine the rate at which the box’s (a) Volume, (b) Surface area and (c) diagonal length are…

Q: Minimize f(x,y,z) = x + 2y + 4z subject to the condition ** +y“ +z* = 7

A: Hello, thanks for your question .According to our policy I m doing the very first question . Please…

Q: Solve the boundary-value problem by method of separation of variables: du Su +3 Sy = 2u, given u (x,…

A: A

Q: Let z = exsec y Find d²z dxdy and d²z dydx

A: .

Q: 1. Which of the following first order is linear? 1 A. dy 1 dy et y-x) dx dy + xy = ey 1 C. y-x) dx…

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.