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

Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

A: To add or subtract, two or more vectors add or subtract the corresponding components of each vector.

Q: 5x+y35x+y3 for x=4x=4 and y=1y=1

A: Consider the given expression (P) and substitute the values of x and y.Substitute 4 for x and 1 for…

Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

Q: he closed form for an+1 3an + n² with ao = 1. Verify your result.

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Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

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Q: Find all the critical points for the given system and discuss the type and stability of the critical…

A: To find the critical points for the given system of differential equations, we need to set the…

Q: rỉ + 10x1x2 + x = as² + ßt²

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Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: Find the intersection point of 2x – y = 5 and 4x = – 2y + 6

A: Given: 2x - y = 5, 4x = -2y + 6 Calculations: From first equation, 2x - 5 = y Substitute this in…

Q: Find x, y, z, and w. x 8 (2x- 1) (2x - 3) 7y (w + 1) (6y + 5) X = y =

A: Given x82x-1y67y=2x-3z55w+16y+5.

Q: Find dx2 e 2Y +x = 6y

A: differenciate given expression with respect to x

Q: dt t² - 8t + 20 +2

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Q: 2 d) ²₂t(t4 +3t)dt -2

A: We need to solve ∫-22t(t4+3t)dt

Q: 5л — 2 dx x2 +1 10.)

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Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

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Q: A rectangle with length / and width w has a diagonal of D inches. If the perimeter of the rectangle…

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