Given that R' (t) = 2ti — 2j + 3t² k and R(2) = i + j — k, then R(t) =

Q: Suppose that f(x, y) = e−3x²—¹y²+6x+10y then find the discriminant of f. Submit Question

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Q: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

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Q: Solve for a2f дхдz if f (x, y, z) = x³=3y

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Q: along the following paths C:(a) x=2t^2, y=t, z=t^3 from t=0 to t=1; (b) the straight lines that A ·…

A: We will use parameterization to find line integral

Q: Show that Q.) J′′0 (x)=−J0(x)−x−1J′0(x).

A: Here we have to show that, J0''x=-J0x-x-1J0'x

Q: Consider generalizing in the following way: N customers line up for their sandwiches, and you are…

A: The probability of an event is the chances of happening of the event. It can be defined as the ratio…

Q: Let Y(t) = be the solution of , 6 1 Y, 5 4 -2 - Y' Y(0) 8 Write x(TT/10), round your answer to two…

A: To solve this problem first we write the system as a system of linear homogeneous differential…

Q: verify that (A + B)T = AT + BT

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Q: Let f(z) = 5z2 + 3z.  Find u(x,y) if z = 8.2 + 5.9i

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Q: Q.3) Find the constants a, b, c, d, e if f(z) = (ax³ + bxy² + 3x² + cy² + x) + i(dx²y - 2y³ +exy +…

A: Given :  f(z) = ax3+bxy2+3x2+cy2+x + idx2y-2y3+exy+y  is analytic. To find : The constants a, b, c,…

Q: Find the line integral of F along the parabola y = x² from the origin to (4, 16).

A: Using green's theorem.

Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: If fxy (x, y) = y for 0 2X - 2) =

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Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: Find dydx for…

A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

Q: ++Xt+1)dt

A: b) The given integral is ∫t+1t+1dt

Q: Find // (4x + 2y)dA where D = {(x, y) | a² + y? 0}

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Q: Find r(t) if r'(t) = 4t³i + 7tºj + √tk and r(1) = i + j. r(t) =

A: To find .

Q: If u = x3-3xy2 + 3x2 – 3y2, find f(z).

A: Given, u=x3-3xy2+3x2-3y2 is the function and we have to find the value of f(z). For this function u…

Q: af when s = 1,t = 1 for f (x, y) = x³ – 3xy - 6x + 6y ,x = 2t + s, y = 2s – t. a) Find as

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Q: For r(t)=2t2-1, t+1, 3t), find T and N.

A: The equation of the curve is rt=2t2-1, t+1, 3t We have to find T and N.