Let w = (x° + y) dæ + z dy + (x + y°) dz and n = 5 dx + (z – 5) dz. :- Find the wedge product w A N. w^n= |dy ^ dz + dz A dx+ d Λ dy

Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

A:

Q: (2rz - yz)dr + (2yz – zr)dy – (² – xy + y²)dz = 0.

A: Given that, 2xz-yzdx+2yz-zxdy-x2-xy+y2dz=0

Q: Find fa, fy, fyx and fy if f(x, y) = x + y + xy ух

A: This is second partial derivative so do the derivative like normal considering all other variable…

Q: Let y = exp( V4+9x >(V4+9x). Find dyldx. %3D dyldx = %3D

A:

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

A: To solve the line integral ∫(2x - y)dx + (x + 8y)dy over the curve C, which is the x-axis segment…

Q: Use Green's Theorem to evaluate (V1+r) dr+2ry dy, where C is the triangle with vertices (0, 0),…

A:

Q: L? + y) da + (x + y?) dy ; C: AB, A = [1,3] → B = [3, 0] C: AB , A = [1, 3] → B = [3,0]

A:

Q: Use Gramer Rale Find L3,2 -2x + 33-Z-1 3J-2-1 * + 2y-2- 4 -2x -+2 = -3

A: -2x+3y-z=1x+2y-z=4-2x-y+z=-3 Here, D=-2  3 -1  1  2 -1-2 -1    1,  Dx=  1  3 -1  4  2 -1-3 -1    1,…

Q: Evaluate xy dx + (x+ y)dy along the.curve y = 4x from (- 3,36) to (- 2,16). C xy dx + (x + y)dy =] C…

A:

Q: 33. Find the directrix. (y- 9)2 - 8 O y = -9 O y = -7 O x = -7 | x = -9

A:

Q: Given that F = (2x + y2)i + (3y – 4x)j. Verify Green's theorem for F.dr around the triangle formed…

A:

Q: the diagram: ΔLMNΔLMN  is a right-angled triangle with vertices L(−6;7),M(a;b)L(−6;7),M(a;b) and…

A:

Q: The order and degree of the D.E. (²² dx³ a. (3,4) O (a). c. (2,1) O (c). (b). = b. (4,3) dy 1+ is dx…

A:

Q: Calculate Sc(x + y) ds, where C is the rectangle formed by de x=0, x=4, y= -1 and y=1

A:

Q: Find fg, fyand f; if f(x,y,z) = x - Vy² + z²

A: Given:     To determine: Partial  derivative  fx, fy, fz

Q: For each of the following sequences, if the divergence test applies, either state that lim an does…

A:

Q: 4x 4) y = Vx² +2x-15

A:

Q: 50° S. 80° R 60° 100 7. 7.

A: The measure of the arc length is double than the angle formed by that arc to the circumference of…

Q: find 5x² then find dy in terms of x and y. X If 3y - xy = 5x² then

A:

Q: A rectangle ha verices at P (6, 6), Q (6, -6), R (-6, -6) and S (-6, 6). The origin is the center of…

A:

Q: B. Identify the center and radius of the ff: x² + y² + 8x + 24 +18 = 0 x² + y² - 6x 12 y = 0 x² + y²…

A:

Q: 2 Evaluate the feltowing cartesian integrats by changing them inte equivalent Pelarintegrals: ff dy…

A: As per our guidelines we can solve first question for you .You can ask the remaining questions…

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

A:

Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 3

A:

Q: dy : Find if dx 3.x 2) x - y 4+ y x +y 4) xy² x - y

A:

Q: Find the area of the triangle formed by the points A = (3, –1, 2), B = (1, 1, 0), and C = (1,2,–1).

A: