IN For r(t) = (2t, t2, 1-t), find T, N and B.

Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

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Q: Vy - y 3 b) dy 2 y²

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Q: Solve for x, where u = (1, -1, 2), v = (0, 4, 1), and w: %3D 5u – 2x = 3v + w X =

A: It is vector problem.

Q: if y = 3x² – 4r³ + 3ª + VI + a, then dy/dr is:

A: Given that     y = 3x2-4x5+3x+√x+π Here we have to find dy/dx . We know that        dxn/dx = nxn-1…

Q: Find for w = , x = 0', y =r+ 0, z = r – 0 2r2 27 2r 272

A: Given query is to find the derivative.

Q: 18. The drawing on the right shows a tangent drawn to a circle at the point P(x; y). Write down the…

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Q: C 2. Evaluate: f4ydx + 5xdy along a straight line path from (0, 0) to (2, 4)

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Q: The real part of (11x + 1 + iy)dz where C is the line joining 1- i to 2+ i is Answer:

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Q: For 3 and 4given the translation rule: T(x,y) (x+2,y-3)

A: Find the image of (5,-1) and preimage of (-6,7)

Q: Find 4rye®y? dA, where R [0, 1] × [0, 2]. R

A: The objective is to find the double integration where  R=[0,1]×[0,2]

Q: Tgir.y) = (2ry, 1+2+) and g(1.0)=8, then g(4.1)-9(2.1) =

A: Topic:- calculus

Q: If R = {(r,y): (x- 1)2 + y² 0}, then 6y dA a. 5 O b. 8. d. 9. 2. 1.

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Q: Give an example of C = diag(c1, C2, C3) and D = diag(dı, d2, d3) where Tr(C) det(D), but C is not…

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Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

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

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Q: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

Q: r (Va² + 1 – Vr² – 1) Var4 – 1 To 1.

A: the given integral is: ∫510xx2+1-x2-1x4-1dx we have to evaluate the given integral.

Q: If the midpoint of E (a-2,2a+3) U (1-3b,2b+1) and M is (6,3) find the value of a and b

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: Given that J(9, -4), K(6, -10), L(1, -1), and M(x, 4), find the value of x so that JK LIM.

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Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

Q: Given (x² – y²)² = 4ay², find y".

A: Let's find.

Q: R(w) = + Vw+5. 3w – 2

A: Domain = ?

Q: K (x2.V1) (1-Y1)

A: Determine the length of LK

Q: 21 - 21 +k).(21- 3j- 7k) = %3D 3/4 1/2 3.

A: Let two vectors, be r1 =a1i^+b1j^+c1k^ and r2 =a2i^+b2j^+c2k^  . The dot product of these vector, r1…

Q: 4x 4) y = Vx² +2x-15

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Q: Obtain an expression that solves for T,. To help with solving for T, you can use the linear…

A: we have σTs4≈σTs04+4σTs03Ts-Ts0   ...iσTs-ΓhA4≈σTs0-ΓhA4+4σTs-ΓhA3Ts-Ts0   ...ii simplify the…

Q: Find V. (Fx G), if F(x, y, z) = 4xi+j+13yk and G(x, y, z) = xi + yj – zk. V. (Fx G) =

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Q: Problem 1: AHP The personnel department at C&H has narrowed the search for a new hire to three…

A: Given, the personnel at C&H has narrowed thr search for a new hire to threecandidiates:…

Q: Use Green's functions to solve the given boundary value problem. y" -y = 6x; y(0) = 0, y(2) = 0 Find…

A: The given function: y''-y=6x The initial conditions are, y(0)=0, y(2)=0 The general solution of the…

Q: Find and a and дхду f(x,y) = x2 - y2 + 6xy + 4x – 8y + 2 a. b. f(x, y) = e*y + xy

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Q: If y-2xy 21, then dy dx at the point (2,-3) is

A: We have to find dydx at the point 2, -3 for the equation or expression: y2-2xy=21 We know the…