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A: Given the position vector: rt=3cost,3sint,t2 Rewrite it: rt=3cost i+3sint j+t2 k

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Q: Tentukan pembuktian dari pertanyaan yang dilingkaran biru

A: As per norms, the first three questions are answered.To prove the required identities and compute…

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A: (Note: We are entitled to solve only one question at a time) To Prove: cos5y+cos3ycos5y-cos3y=-cot…

Q: 74. If x = a(1 + cos@coso), y = b(1 + cosesin4) and z = c(1 + sine) then which of the following is…

A: Explanation of the answer is as follows

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A: To find- Find  ∂w∂xy ∂w∂zy at the point x, y, z = 2π, -2, -2π if w = x2 + y2 + z2 and y sinz + z…

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A: Given that we need to trace the curve  r = 2 + 3 cos theta  Now,

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A: (1.1.1). We have to prove that:  cosec(180°+θ) sin(360°-θ)--sin(180°+θ)sec(60°)=cos2θ

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A: To show the given expression using u.

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A: Option (A) is correct See below the explanation

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Q: 3) f(t)= (t+1) sin (t+2)= +sinlt+2) + sint +2) ssin(2)+ I. Cone) s sin(2) +1- COnd +1) - sina -…

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Q: a Pahlagua - L7.4 -7.5 Intro to Trigonometry 136% 2. W sin W = % sin X = %3D cos W = cos X = %3D…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: af af If f(s, t) = sin s cos 21, find and as at

A: fs, t=sins cos2t Partially differentiating with respect to s, we get ∂f∂s=cos2t·coss

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A: Given- At = et000cos tsin t0-sin tcos t To Show- Show that At-1 exists and then find it.

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Q: 7) COS X= I Wrie the power fenes Cos 6)) writ the firat Ś terms fur (osx it 2.

A: Solution

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Q: 10. r (t) = (2 cos t, 3t, 2 sin t)

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Q: Find r'(t). r(t) = (tan-'(5t))i+t cos(t)j – Vik NOTE: Enter your answer in terms of i, j, and k.

A: r(t)=tan-1(5t) i+t cost j -t kddt tan-1(5t)= 11+(5t)2 ddt(5t)ddt tan-1(5t)= 51+25t2 ddtt cost=cost-t…

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A: Given,  x=2cos3ty=cos2tVelocity=dxdt,dydtdxdt=-2sin3t(3)=-6sin3tdydt=-sin2t(2)=-2sin2t

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A: Use the trigonometric identities and trigonometric ratios.

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