Find T(t) and N(t) at the given point. r(t) = (t – 2)i + tj; t= 2 T(2) = N(2) =

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A: To find,  d2 dt28 cos2(t)

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A: Explanation of the answer is as follows

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A: Given,            The circle whose diameter has endpoints of -2,4 and 8,-6.To find : Write the…

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Q: Find the arc length L of the graph of r(t). r(t) = 2 cos(t)i +2 sin(t)j+tk, 0<t< 2m L =

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Q: dy Suppose 2e-2* and y(1) = 4. dx What is y(2)?

A: Given,  dydx=2e-2x and y(1)=4

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Q: Evaluate the indefinite integral. x2 dx 0.2x3 + 2.7 + 2.7

A: topic - indefinite integral

Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=3: d'y dy +10 +25y = 0…

A: Explanation of the answer is as follows

Q: Calculus Question

A: To simplify the given rational expressions.

Q: 1. Find the maximum value of r+y subject to the constraint r+ y = 18.

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: r(t)=cos(πt)i-ln(t)j+t-12kDomaincos function takes all values  ie  -∞,∞logarithmic function takes…

Q: 6x + 10 if a -2 4. first third second

A: Explanation of the answer is as follows

Q: Find the radius of convergence for: (– 1)"r" Vn +8 72 1 Basic Funcs Trig

A: We have to find the radius of convergence in this question.

Q: nd the linearization of f(x)= {Vx at c = 64. Use the linearization to approximate 64.05.

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Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

A: topic - indefinite integral

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A: Answer is in below step.

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A: Given

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A: Explanation of the answer is as follows

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2,…

A: Given -5,0, 0,4, 2,4 To find general equation of circle:

Q: 1. Let the matrices be 0 41 -1 2 2 6. [o 21 C = 2 4 li 3 -5 -31 A B =|-5 2 4 %3D 3] 5 41 1] D =|-4…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: In Exercises 1-3, find the general solution of the differential equation specified. dy 3. 2t 1+ 124…

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Q: 9x² = 164 -8y² + 36x + 64y

A: The given equation is: 9x2-8y2+36x+64y=164...(1)

Q: Find an equation for an ellipse with foci (+12,0) and vertices at (±13,0).

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Q: 2. For each of the following functions, determine the derivative using only algebraic techniques and…

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Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

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Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: Verify Green's Theorem by evaluating both integrals dA v? dx + x2 dy ax for the given path. C:…

A: We have to verify the green's theorem

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A: To find the equation of circle passing through three given points.

Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.3 + 0.16t ft/s2.…

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Q: Q4 Find the eigenvalues and eigenvectors of the matrix: 21 1 -1 2 -2 1-1

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Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

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Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

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Q: sin u cos v

A: This is a product to sum formula. This is a direct formula and here I m providing the formula onthe…

Q: 7- Use the limit definition to compute f' (x) and find equation of the tangent line at r = 3. f (z)…

A: topic - derivative of a function using limits

Q: (x(t), y(t)) = (2 cos(t), 1+ sin(t)). 2. Answer the following questions about the curve given…

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Q: Find the distance between the skew lines: x = 5+ 6t, y = 2+ 3t, z = 8 – 3t z = 1+ 2t x = 9 – t, y =…

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Q: Find the area of the shaded region. V2 y = csc e cot è 0- 3x - 2

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Q: 10 15 -10 -5 10 15 -5 10 -15 -20 Find an equation for the ellipse. Equation of the ellipse Preview…

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Q: 2t2 + 3, y = 6t – 1 at the point whose 3. Find the equation of the normal to the curve defined by x…

A: Explanation of the answer is as follows

Q: 4х+5 f(x) = %D 9-3х А. х 3 -1 B. x =0 С. х 3 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find an equation of the plane. The plane that passes through the point (3, 4, 5) and contains the…

A: Given

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Q: Find the average value gave of the functiong on the given interval. g(x) = 3x, [8, 64] gave %3D

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Q: (c) in the tank to a height of 1 m above its top. Do not evaluate the integral – just write it down.…

A: answer is in next step

Q: 8- Prove that lim,. -7 (5x – 32) = 3 using the formal definition of the limit. (choose e and 6 )

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