Find the work done by the force field F in moving an object from P(-9, 7) to Q(3, 3). 2.x. F (r, y) = #i-i

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Q: 7) FIND EQUATION Of THE TANGENT AN LINE TO THE PARAMZTRIL X=t-+もt こe AT t =0. CURVE

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Q: d d. Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly…

A: r1(t)=9t i +9t2 j+6t3 kdr1dt=9 i +18t j +18t2 kr2(t)=t4 kdr2dt=4t3 kr1(t)·dr2dt=(9t, 9t2, 6t3)·(0,…

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A: To evaluate the triple integral.

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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

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Q: Lef foo) the Gempesition (foj)G) 2001 2nd gG6) = e²7#Defermine

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Q: ASAP

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Q: Determine the generating function of the following sequence {0, 0, 0, 1, 1, 1, ....}

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Q: 6. The tangent to the function f(x) = ke2x at x = has slope 2e. Find the value of k.

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Q: In x 6. lim, x

A: Solution:

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Q: d Calculate ri(t) · r2(t)] and rı(t) × r2(t)] first by differentiating d dt the product directly and…

A: Given

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A: Let, radius = r Height = h When r = 8, then h = 22. Using this we get a relation between r and h.…

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A: Given

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A: A detailed solution is given below

Q: Is) Phd an equetian f te tangerut lme et a point C0.0) on the cur ve X= t-144 Aswers: aj 2y-x>0…

A: Topic = Derivative

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A: This is a problem related to vector. Based on the general concept and formula we will answer the…

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Q: Suppose on Jan 1, 1997 Dave invested $2,000 into a bank account at 5% interest compounded…

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Q: Describe the graph of the equation. r = (5 – 21) i + 7tj O Itis a line in 2-space through the point…

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Q: d d Calculate ri(t) · r2(t)] and [ri(t) x r2(t)] first by differentiating dt dt the product directly…

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Q: sin °od 1. 2 (xex* +3x5+3x"-x²dx 2. 3. 6

A: I = ∫0π4sin5θdθI = ∫0π4sinθ·sin4θdθI = ∫0π4sinθ·1-cos2θ2dθ                         1------------Put…

Q: 6) Find the linear approximation to R(t) = VE at t=32 Use the linear approximation to approximate…

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Q: integrate (2x + sqrt(x)) dx from 3 to - 6 A. 27 +2√3+4√6 B. 27 + 2√3 C. 27 - 2√3+ 4√6 D. 27-4√6

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = e10ti + e-*j K(t) =

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Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

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Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 7 lim t 612 + 7't 1° = (?, ?)

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Q: What is the point at which the lines x = 3 - t, y = 2 + t, z = 5t intersects with x - y + 2z = 9 ? О…

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A: Topic:- complex number algebra

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Q: Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 5…

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Q: d²y Given that x3 + y³ = 2, prove that 4х %3D dx2 y5

A: Given problem:-

Q: Solve the Laplace Transform of the equation f(t)= te⁻³ᵗcos²2t

A: We have to find the laplace transform of the given function.   f(t)= te⁻³ᵗcos²2t

Q: s(2) dr=3 and s (4)d. f (x)dx: =-2. what is (x)dx? Make sure to justify your answer -2 or the…

A: We can find the answer as below using property of integration.