Use the formula k(t) %3D

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: if x 2 valuate each of the following, if it exists. (If an answer does not exist, enter DNE.) lim…

A: Solution of given question is written in below steps.

Q: Set up, but do NOT evaluate, a triple iterated integral of the function f(x, y, z)=x+ z over the…

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Q: In the given integral below, what is the values of u and a? * dx УЗ — х2 — 2х и 3 х+1аnd a — 2 и 3…

A: This question is based on indefinite integral.

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t= 0 T(0) : N(0) =

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Q: Find the slope of the tangent line to the curve 4x² 3xy - 2y³ = - 26 - at the point (4, 3).

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: 1. Find the minimum and maximum values of f(x,y) : = x²y on the ellipse 4x? + 9y? = 36. %3D

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Q: 12 71. (-5-81) 1-4 1000

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Q: Use local linear approximation to estimate In(1.08)

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Q: Find the surface area of the region that comes from rotating the given curve about the y-axis: x =…

A: If x=x(t) and y=y(t) then surface area of the region rotating about y-axis is given by…

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Use Green's theorem to calculate.(2x³ – y*)dx + (x³ +y*)dy, where C is the boundary of the annular…

A: Apply greens theorem

Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 9x²,…

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Q: Find the inverse of f(x) = 3 √5x² +2 What is its domain?

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Q: Let f(x) = 2x + 15 – 7e". Then the equation of the tangent line to the graph of f(x) at the point…

A: We know that equations of tangent line at the point (x1,y1) is given as - ( y - y1 ) = m ( x - x1 ).…

Q: The equations for free fall at the surfaces of Saturn and Jupiter (s in meters, t in seconds) are s…

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Q: Determine whether the series converges. 1 k+11 The series

A: The given series,    ∑k=1∞1k+11

Q: 4x +2 (x + 1) >7+x

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Q: Find the standard form of the equation of the circle having the following properties: Center at the…

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Q: J 3 If f(x) = then f'(x) = f'(-5) = = to dt > Next Question

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

Q: The position of an object attached to a spring is given by S (t) = cos(4t) sin(4t), - where t is…

A: Solved below.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A: The idea of ratio test must be there to understand it properly. The explanation part is given below.

Q: Find the surface area of the region that comes from rotating the given curve about the x-axis: x = 4…

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Q: A marketing specialist determines that when a certain product is released, the number of social…

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Q: For the plane curve x = 4t, y = 3t²1, where 0 ≤ t ≤ 3, the arc length is given by 3 [ f(t) dt. Find…

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Q: ersects the circle at the points (4,1) d (6, 13) as shown. Find the coordinates of the circle's…

A: Topic:- geometry

Q: a. x²-16 lim- x-4 x-4

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

Q: Question Find fy for f(x, y) = eª ln(y). Sorry, that's incorrect. Try again?

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Q: The position of an object attached to a spring is given by s (t) = cos(4t) — —sin(4t), - where t is…

A: The position of an object,st=14cos4t-16sin4t on the interval 0<t<3

Q: ecos (0) and y e-sin(0) Consider the curve parametrized by x = Amen for 002π. At what points (x, y)…

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Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Solve for the Taylor series of the given function about the point x = 1. You can write the first 5…

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Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

Q: Determine the exact area between the x-axis and the curve defined parametrically by 2 x(t) = - +² t²…

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Q: Q8. Identify the function, whose derivative is defined below: (x + h)2 – x? dy - lim dx h→0 h A.…

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Q: Find the mass and center of gravity of the lamina bounded by the x-axis, the line x = 49, and the…

A: Given problem:- Find the mass and center of gravity of the lamina bounded by the x-axis, the line x…

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Find the points on the curve where the tangent is vertical. x=1³-3t, y-t³-31²

A: First we find dy/dx

Q: Evaluate the function at the indicated value of x =1. f(x)=loggx 8 -8 - 1011 8 0

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Q: The half-life of a radioactive substance is 11 days. After 3 days a sample of the substance has been…

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Q: Determine the behavior of the functions defined below. If a limit does not exist or the function is…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: Use the One-to-One Property to solve the equation for x. 5x+1=25 x = 5 x = 1 x = 2 x = 4 x=3

A: given that  5x+1=25 Or 5x+1=52  On comparing  X+1=2  So x=1

Q: √x²√9 - x² dx

A: We will solve the integration,

Q: Evaluate the definite integral. i+ej+tk)dt O es - 1 -- (-~" - 1) + 5 O es i- e- 5 O es i + (e- - 1)…

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Q: Suppose the total revenue function is 4x? + 3x + 2. Find the average and marginal revenue. In…

A: Note:  In question 3, the function given is incorrect. So, i am solving the question 4. Question - 4…

Q: Use Green's Theorem to evaluate the integral (2x? – y)dx + 4xdy where C is the circle x? + y² = 9…

A: To evaluate the given integral using green's Theorem.

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: TE: Round your answer to two decimal places when neec r(t) = cos(nt)i – In(t)j+ vt – 12k - omain is:…

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Q: Find the extreme values of on [-2,2]. f(x) = Sre™, x 0

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