Find the velocity, acceleration, and speed of a particle with position function r(t) = (6t sin(t), 6t cos(t), -t²) v(t) = a(t) = |v(t) =

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Q: Find by implicit differentiation. dy dx dy dx 11 3x² + y² = 4

A: Please see the below picture for detailed solution.

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Q: 3) Find the general solution to y′ = sec^2 x.

A: To find general solution.

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Q: Compute the line integral of the vector field F = (7y, −7x) over the circle x² + y² = 1 oriented…

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Q: Estimating the Amount of Paint Required A coat of paint of thickness 0.08 cm is to be applied…

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Q: Find the distance from the point (7,-4,5) to the line a(t) = (5,-3, -2)t + (6, 8,-4). Calculator

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Q: 3. Find a, b and c if (x + y + az)i + (bx + 2y − z)j + (−x + cy + 2z)k is irrotational.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: A video store manager observes that the number of videos sold seems to vary inversely as the price…

A: A video store manager observes that the number of videos sold seems to vary inversely as the price…

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A: according to bartleby policy we do only first part of multiple questions (1)   f(x)=3x-1given  x=4…

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A: The Answer is in step2.

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Q: Docs tep 1 Using A = Iw, we have dw dt dt Exercise e length of a rectangle is increasing at a rate…

A: As per the data provided in step 1:dAdt=l.dwdt+w.dldt   As per the data provided in step 2:We are…

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Q: Find the volume of the solid enclosed by the surfaces z = 8 - 2(x² + y²) and z = 6√x² + y²

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Q: π Find the length of the curve y = In (3 sec x) from 0≤x≤ 3

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Q: 5) If f′(z) = e^z and f(0) = −3, find f (z).

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Q: Find the first and second derivatives of the function. g(x) = -5x³ + 10x² + 4x − 64 g'(x) g"(x) =

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Q: 7. (cosx+xcost)dt + (sint-t sin x) dx = 0 Ans. t cos x + x sint = c

A: The objective of the question slove the the differential equation.

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Q: Collect and Represent Data Assignment Directions: Use the data table below to answer questions 1-5.…

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Q: f(x) = x³ -1.5 x² Use graphing calculator, fine the interval the function is decreasin (1,2) (0,1)…

A: Solution: The objective is to find the interval the function is decreasing using graphing calculator

Q: Question 6 of 10, Step 1 of 1 Answer Suppose that y' is proportional to the cube root of .x, and…

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Q: [1-R] [CLO 12] What is the slope of the line f⊥, where f⊥ is a line perpendicular to the line f,…

A: The given line is: 4y-3x=5

Q: NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for ∞ and '-INF' for -∞.…

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Q: Combine the sum of the two iterated integrals into a single iterated integral -3√2/2 xy dy dx √9-1²…

A: Convert into polar form

Q: 5. Find the derivatives of the following functions using the fundamental theorem, part 1, in…

A: h(x)=∫02x11+t2dt