oWite psi ble, where in ferms of u and w.if not posai ble, enter o Wite v linear Com bination of u and w it as 4= (1, 2) and w= (1, -1) . En ter y ou mprori lla V= (2,1) =

Q: X=4uv-2u, y= - (uv +8uvw), and Z:9uvw Find acx.y,z) =

A: We have to find Jacobian.

Q: ?w Əv у Find when u = 0, v=0 if w=x² + ₁ x=6u-2v + 1₁ y=u+4v - 1.

A:

Q: What is the value of t in terms r, s, and u In the equation

A: The solution is easy to see

Q: Consider the following. u = (2, 0), v = (5, 7) (a) Find u · v. U'V = (b) Find the angle between u…

A: Given that  The vectors  u=(2,0) and v=(5,7) To find the u.v and angle between the u and v

Q: x y ● = Find the dot product of 1 18 0 — -2 and y = 1 2 4 ●

A:

Q: 6 uoi ion V 108r²y³ +xv/ 75y³

A: We have to simplify   √(108x2y3) + x√(75y3)

Q: dw 21. : 1-cosw A. -tan w + secw + C B. w – cotw + C C.-cotw – cscw + C_ D. -cscw + tanw + C

A: We can find the integral value as below.

Q: v(2uv - 3)du + (3u°v -3+ 4v)dv 0 O v(u?v² + 3u + 2v) =c O v(u?v? – 3u – 2v) =c O v(u?v? - 3u + 2v)…

A:

Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

A:

Q: Suppose Hx isa one-to-ens tunctien auch that f-3)-5. Which of the following tacts must be trar?

A:

Q: Evaluate and simvlify y'. sec 2w y sec 2w + 1

A: Given: y=sec2wsec2w+1

Q: What is WX? X WX = Submit U W 5

A:

Q: If find az/au and az/av. дz/?u = Əz/dv= z = xe", x=u³v³, y=u³+v³₂ (In your answers, do not rewrite…

A: z=xeyx=u3-v3y=u3+v3from chain rule ∂z∂u=∂z∂x×∂x∂u+∂z∂y×∂y∂u

Statements and Logic

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