Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) – 4t4). L:(r, y, z) +t

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A: A detailed solution is given below.

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A: Option C is true

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Q: 291 pind the lengty of tue cerve over the ginernineval a) 1o ) so 20 e) 40 d)s 11/12

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Q: ans 늘 sin ()+c 19 -4x² teinx dx I+ x2 dx ans: į sini'Ln'xte 3. sečxdx ensesin 3tanx 15-9tañx dx

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

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Q: ASAP

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Q: Solve the following integrals: 1. S–7e*dx 4. S 8*+1dx -6 2. S(2e* – 6*)dx 5. S-dx 3. S;(3")dx 6.…

A: ∫ex dx = ex+C ∫ax dx = axln a+C ; where, 'C' is an integration constant. Note : As per our…

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A: Given: x3+y3=2   As we know that; The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

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A: Given: f(t)=-16t2+444t+8

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A: Use the substitution method to solve the integral.

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Q: nt P(p, 1), where p>0, lies on the curve x² + 2x ulate the yalur of n

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Q: 5. Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 – x} about the x-axis.

A: Surface area

Q: QUESTION 12 Solve the following system of equations and fill in the values below: x + 2y - 2z = -15…

A: Here we have to solve the following system of equations. x+2y-2z=-152x+y-5z=-21x-4y+z=18

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A: Given: Vertices of Parallelogram P(-2,1), Q(-6,4), R(4,3)