(3√2, -3√2,6) to cylindrical to cylindrical coordinates. Enter your answer as an ordered triple and provide exact values for r and with r > 0 and 0 ≤ 0 ≤ 2π in radians. (r, 0, z) -

Q: What are the dimensions of the right circular cylinder of greatest volume that can be inscribed in a…

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Q: Simplify the following complex fraction; State the domain restriction: 1 X|N 2 1 1 X 1 -

A: To simplify the following complex fraction. To state the domain restriction.

Q: 1. Use the Limit Comparison Test to determine whether the series below converges or diverges. List…

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Q: D. Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: Find the limit of the sequence as n approaches infinity: 5n 3 5n+ 5 an - -

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A: OP = OE = 3960 mi.*to find : arc length, PE = ?

Q: Consider the following parametric curve. Answer parts a and b. 70 x=2 sint, y = 2 cost; t=2 a.…

A: The given parametric equation of curve is

Q: b) Solve the following rational equation for the indicated variable. Be sure check for extraneous…

A: To solve the following rational equation.

Q: Verify that the two planes are parallel. -x + 6y + 3z = 6 1 x + 2y + z = 7 3 Find the normal vector,…

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Q: Find f. f(x) = f'(x) = −2+ 24x 12x², -x² + 4x³-x² + 14x+8 x - f(0) = 8, f'(0) = 12

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Q: After finding the partial fraction decomposition, 10 x-6 -3x + 7 2 x + 3 + X 0 3x + 4 x² + 3 S +…

A: Consider the integral

Q: Evaluate the integral fx² cos(4- x³) dx sin(4 — x³)+C O -sin

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Q: For the sequence defined by: a1 = 2 an+1 = Find: a2 a3 a4 = 4 an - 3

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Q: What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by…

A: Given

Q: The crew of a helicopter need to land temporarily in a forest and spot a flat horizontal piece of…

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Q: 1. Find the equation of the line that goes through the point (1, 5) and 3 is parallel to the line y…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The table gives the values of a function from an experiment. Use the table to estimate So f(x)dx…

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Q: Find the cost function for the marginal cost function. C'(x) = 0.07e0.05x; fixed cost is $7 C(x) =

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Q: Find the slope of the tangent to f(x) = e" + 1 at the point (0,0).

A: Given that the function we have to find the tangent line at the point (0,0)

Q: Determine the amplitude, period, and phase shift for the given function. - cos(2x - 5) y=1- 1…

A: To determine the amplitude, period, and phase shift for the given function.

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: In a large city, the road system is set up like a Cartesian plane, where streets are indicated by…

A: The baseball field is located 2 blocks west of street B and 28 blocks north of street A.

Q: 57. Orbital Launches In 2012 there was a total of 78 commercial and noncommercial orbital launches…

A: In 2012 there was a total of 78 commerecial and noncommerecial orbital launches worldwide. In…

Q: Suppose that we're making and selling some widget and the cost (in dollars) when making a widgets is…

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Q: Can you please answer question e and g?

A: e) From the graph it is clear that:LHL = Left hand limit at x=3: limx→3− f(x) = -4RHL= Right hand…

Q: Suppose the cost to make a widgets is given by C(x) = 2x² + 4x + 2. Find the marginal cost function…

A: The given cost function

Q: Find the two solutions of the given equation z² + 6z+ 10 = 0. / in your answers should be positive Z…

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Q: f(x) = -2(sin(3x + pi/2)) + 1 for x is an element of [0, 4pi/3] State the phase shift, period,…

A: The given function is  , The standard equation of Amplitude Phase shiftVertical shiftTime period

Q: Find an equation of the line tangent to the following curve at the given point 11x 6 y = 1+ sin 0…

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Q: 9. Calculus - Taylor Expansion If f(x) = 1/x, what is the leading coefficient of the 12th Taylor…

A: Where centered at .

Q: Find the surface area generated by rotating the given curve about the y-axis. = 6t², y = 4t³, 0≤t≤1…

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Q: √x 4√/2x+1dx X

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Q: Evaluate the integral: O x ○ x = 3 sec (0) 0x = 8 sin(0) (A) Which trig substitution is correct for…

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Q: Find the point on the curvey=e* + x where the tangent is parallel to the line y = x.

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Q: a) x2+5x-14 x²+8x+7 + x²-4x+4 3x²-6x

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Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

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Q: d. e. lim 4x(3x + 4)² X→-1/2 lim (5-y)¹/3 y-3 3 h→0 √3h+1+1 f. lim

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Q: Perform the following operations and simplify the results. State the domain restriction in each…

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Q: rem for Integrals Find or approximate all nction equals its average value on the given 4] 40. f(x) =…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first  question…

Q: At which of the value(s) of x below does f(x) = ²³² +5x² + 25x + 1 have a horizontal tangent line? O…

A: Given that, the function is .We need to find the value of x for which the given function has a…

Q: .2 x²+1 lim x-∞ x²-1 X-

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: i. x+1 lim X→∞ X-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 9. Two buses are driving along parallel freeways that are 5 mi apart, one heading east and the other…

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Q: dx Assume that x = x(t) and y = y(t). Let y = x + 2 and dt dy Find when x = 3. dt dy dt (Simplify…

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Q: Specify the period and amplitude for the function. period amplitude -20 -15 -10 -5 11111111 y…

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Q: 7. Point (4, 6, -7) Perpendicular to n = j

A: Given that the equation of the plane passing through the point (4,6,-7) and perpendicular to n=j we…

Q: Given the hyperbola: 2²-2²2² 1 9 4 = (a) Graph the hyperbola and label the coordinates of the…

A: Given that a equation of hyperbola and we find centre, vertices and foci and equation of two…

Q: What is the limit of (Cos(x)-1)/x^2 as x approaches 0?

A: Given that the expression we have to find the limit as x approaches 0

Q: 2x³+x²+x+1 x→∞0 4x³-x²-8 √x²+x+1 lim x→∞ √4x²+3 k. lim 1.

A: K) limx-infinity (2x3+x2+x+1)/(4x3-x2-8)I) limx-infinity +x+1)/sqrt(4x2+3)

Q: 1. Find the equation of the line that goes through the point (1, 5) and is parallel to the line y =…

A: Question No. 1:To find the equation of the line that goes through the point and parallel to the…