19. Which of the following is equivalent to va( 9 – 2/5 +) da ? /Vade /(-2+)de :)- 8. 9a- 2 + 7. -2x+8x 2 da 9x7 | (9u° – 2u + 8u") du, where u = va D 2/a | (9u – 2u2 + 8u) du, where u = VI

Q: 3) If A = 2x²i – 3yzj + xz?k and ¢ = 2z – x³y, find A - Vo and A x V¢ at the point (1,-1,1). ww. 4)…

A: A=2x2 i-3yz j+xz2 kA(1,-1, 1)=(2, 3, 1)ϕ=2z-x3y∂ϕ∂x=-3x2y∂ϕ∂y=-x3∂ϕ∂z=2∇ϕ =∂ϕ∂x i +∂ϕ∂y j+∂ϕ∂z k∇ϕ…

Q: 17. If mzp = 6x + 12 and mzg = 7x - 1, find the value of x so that p is perpendicular co 18. If mz1…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 4. Evaluate S. (z - 4) dz, where r is a contour from the two line segments, the first from z = -3 to…

A: The given question is related with complex integration. We have to evaluate the integral,…

Q: 5. If u = e1#1+az#2++anIn, where a² + a³ + · ·..+ a = 1, show %3D + = U dx?

A:

Q: Given that z and w are independent variable and dependent variablerespectively, obtain dz/dw a.…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: Evaluate = (VIn(x°cos(#)) – 24) dr + (4r – 3°evtm(7*) dy (4.r – y°e2ytan(y") where C, is the…

A:

Q: By approximately how much will f(x, y, z) = x cos(rz) – 4x – 3y sin(xz) + y - change if the point…

A:

Q: dy_2y 4. If tan(ry) + 5= ry then show that dr²

A: tan(xy) + 5 = xy

Q: 16. If m/STU = (13x – 6)', mSƯ = (21x + 8)', and mUT = 143', find mST. %3D %3D U T

A:

Q: Q.1B) If w = f(u,v) where u = tan"12 &v=In(x² + y²), the show that: dw Х- +- дх дw dw <-2- ду ду

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The convolution of e2t ® sin(3t) S is | e2Usin(3t – 3u)du e2usin(3t – 3u)du Se-2usin(30)du…

A:

Q: dw Let w = cos(6x – 6y), where × = r* and y = 3. Find A o dw = 18sin(6r* – 18)r³ dt O dy =…

A: Answer is Option b is correct Explanationo the solution is given below...

Q: find dy ny the Chaenin Rult yz tan u and UzJxz+5

A:

Q: 5 Jlgu ntinuity equation satisfied by u= 3x^2-2y^2, v=-6xy IO 4xy+y?, v= 6xy+ 3y .II O U = u=x-4y,…

A: We have to solve given problem:

Q: af 7. Compute and дхду a²f : f(x, y)=x'y² – sin 2 + xe" - əx' əy

A:

Q: In ARST, mZR = 47°, m 2S = 3y - 7, and mT = 2(y + 10). Find the value of y. %3D %3D %3!

A:

Q: 15. In AXYZ, XY YZ and m/XYZ = 46*. %3D 46

A:

Q: How many approximations for y = x sin(x²) must be made in order to obtain the zero of the equation…

A: Given that, y=x sinx2, x0=1.5. By Newton-Raphson method, xn+1=xn-fxnf'xn. Solve for n = 0.…

Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

A:

Q: 4. The square STUV has diagonals that intersect at point W, where SU = 4x + 26 and TW = 8x- 41. Find…

A:

Q: the original equation. Find the solution of the following Cauchy problems: (а) Зи, + 2и, %30, with…

A:

Q: dy If tan(ry) + 5 = ry then show that dr? 2y

A: Differentiation two times

Q: π/3 So, f²ef/³ t In u tans ds du dt

A: Given problem:-

Q: If A = 3xyz²i + 2xy³j-x²yzk and p = 3x² - yz, find (a) V-A, (b) A-Vq, (c) V.(Vo) at point (1,-1, 1).

A:

Q: dz dz and at the point (3, 6, 1) where z is defined implicitly by the equation z4 + z?x2 - y - 4 =…

A:

Q: Convert the ! √ √4-1² 2 0 following to rectangular 32 r³z² sino cos o dz dv do dz dx dy

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: s) Given u(r, s) =r2 - 2s2, wheter= and s = y? - r, compute for du

A:

Q: а. х %3 (3, —4,0, у b. х %3D (2, 1, —3, 4y c. x = (sen k, cos k, 24y para un entero positivo fijok

A:

Q: 8. % = () Given that u = and w = calculate the values of x and y if 2u = v - w. %3D

A:

Q: 14 11 " f(2)da - /" f(=)dz = [ f(=)dz where a = and b = Question Help: D Post to forum

A: Let's find.

Q: 3) if y= CoSX then shift it by a) left TC b) Down1, lett 2

A:

Q: 11T 60. Given that sec 12 13T V2 - V6, determine the value of sec 12

A:

Q: 3. If å = 4i + 2j + 4k ,b = -2i + 4j – 3k and č = 4i + 5j. If a + xb is perpendicular to c then find…

A: Given, a→=4i+2j+4k b→=-2i+4j-3k c→=4i+5j

Q: 2 If V) 3 ли?h +- л , where h %3Dh() and r e R, then V'(1) is A. 2ærh -r'(1) + Tr² · h'(1) +27r² ·…

A:

Q: 01. If w f(u, v), u = cosx and v = sinx, show that: d'w dx2 = v? fuu + u? frv - 2uvfur - ufu - vf,

A: Given w=f(u,v), u=cos x and v=sin xso we see that dudx=-sin x =-v   and dvdx=cos x=u.By chain rule,…

Q: 2. %3D be Centered in a batt co,ogo) andradies I 2. frove thet S-273R

A:

Q: 7 cos(z) Driented ris countercleckwise ortented rectangle with -2-i , 2-i, 2té, -2ti

A: Contour integration

Q: If E?uz = x² and h = 1, then find ux. %3D

A: The objective is to find ux. Given information is: E2ux=x2, and h=1.

Q: Ex: Find and . fie 28. u = rs? In t; r = x², s = 4y + 1, t = xy³ %3D

A: ∂u∂x and ∂u∂y

Q: 3. If (x, y, z) = xy²z find grad 6 at (2,−1,3).

A:

Q: 16. If ZSTU = (13r-6)', mSU = (21x + 8)', and mUT = 143', find mST. %3D %3D %3D T.

A:

Q: 2- SSi dA A A-{(,3):x7, ソプ andy=x, xy=6,火=8 14.4)' %3D Ans (448) Az ーに

A:

Q: Derive pz, 192. sjt9z, Hz(t), ez, čr: directly , if X ~ U (0, w) with r = 20, n = 30, w = 100. %3D

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Question dz If z(x, y) = x²y, x = ", and y = u'v², find

A:

Q: 1. Locate point D such that AD = BD 1+v5

A: There can be many ways to find the solution of this problem. But we are going to use the very basic…

Q: dy _ 2y 4. If tan(ry) + 5= ry then show that dr?

A: We have to do differentiate with respect to x.

Q: aw 4 - find zu me aw i f w : tan () and X = U COSU y = u sinv .

A:

Q: 4 - If w = x+ 2y + z? , x= , y =r2 + In(s) , and y = r2 + In(s) , and z = 2r aw find at the point…

A: Using chain rule the given question has been solved in step 2.

Q: 16. Find the points of intersection of x' = 4y and y= 4x. (as:(0,0,(16,64)

A: My Dear student according to the rules of Bartleby we can solve only one question post others as a…