Find the arc length of the parametric curve. x = 8 cos(t), y = 8 sin(t), z = 6t; 0

Q: Find the values of x for which the function is continuous. f(x) 3x2 + 7 7 all x, x ± – 3 7 all x, x…

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Q: If f is decreasing on (a, b), then f ' (x) < 0 for each x in (a, b).   a) True b) False

A: We know that the function is said to be decreasing on I then f′(x) &lt; 0 at each point in an…

Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

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Q: Please help me make three or more (3+) pick-up lines/puns regarding the limit of a function. I need…

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Q: Find both first partial derivatives. z = 10y?/x az ax az ду II

A: Solution-

Q: Question #7 Solving Rational Equations01 Reference Q. 20397 If you can paint a room in four hours…

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Q: 3x2 — 9х + 11 2х + 4

A: Given query is to find the derivative.

Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

A: The objective is to evaluate the limit.

Q: 4 The line y= -Lx+3 has a perpendicu lar which fangent to the graph of y= (x²-2) (2x+k) at x=-l,…

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Q: 4. If a1 = 2 and az = 3 and an = an-1 + 3an-2 for n> 2, a. find the first five terms of the…

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Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

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Q: Solve the initial value problem  y" + 8y' + 25y = 0 ; y(0) = 1, y'(0) = 2

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Q: Select the answer option that corresponds with polar coordinates (3, 7). 90° WIN 135° 7 radians 150°…

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Q: Flight of a Rocket. Suppose the altitude (in metres) of a rocket t seconds into flight is given f(t)…

A: Use derivative for finding the interval

Q: Find the general solution of the DE below. Show the method on how you get the roots, not by…

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Q: Find all horizontal asymptotes for f(x) Vx2+3 %3D

A: Solve the following

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

A: We have to find the centroid coordinates.

Q: The marginal cost for a company to produce q items is given by MC(q) = 0.004g? - 0.5g + 620. The…

A: Given query is to find the cost at indicated production level.

Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

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Q: x2 - c2 x c -3

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Q: The line y=-Lx+8 has perpendicular whrich is fangent to the graph of Find the value of ke y = (x²2)…

A: Explanation of the answer is as follows

Q: (1 2. 14 Approximate | * -6) dx using 4 rectangles. It is approximatley : (If necessary, round to…

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Q: 2. Rewrite the following quadratic function in standard form, identify the vertex: f(x) = 2x + 12x -…

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Q: evergreen nursery usually sells a type of shrub after 5 years of growth and shaping. The growth rate…

A: Given query is to find the height function and the height of the shrubs when the sold.

Q: Choose the point which shows the correct location for the polar coordinate (3, 625°). 工 90° 2 WIN…

A: 625°=540°+85° 540° is on negative x axis. This means we need to move 85° anticlockwise of negative x…

Q: Given f(x) = 9x2 4x + 11, find f'(x) using the limit definition of the derivative.

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Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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Q: Select the answer option that corresponds with polar coordinates (3, –150\degree). so 90° WIN 45° 7…

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Q: Sketch the region R of integration and switch the order of integration. IT rx, v) dx dy 3 У 2 3 3- 3…

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Q: Evaluate the following limit using L'Hospital's rule. lim (cos(6x))) Provide your answer below: lim…

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Q: – x² , Y2 = x² Y1 16 · x Rotate @ y – axis SHELL METHOD B V = 2. | (C.x² – E · a²)· dG • T: K A…

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Q: 15. Apply the Mean Value Theorem to f(x) = Vx – 2x using the interval [0.4]

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Q: Interest Formula. Suppose you work at a bank and the manager provides a new type of formula to…

A: Given, e(2ln(4)+4ln(2) Simplifying the above expression we have,

Q: NOTE: Each question must be submitted individually. Press 'Submit Answer' for each question before…

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Q: Find the area of the triangle with vertices P(1,3,–2), Q(0, 0,0) and |R(3, 5, 1). NOTE: Enter the…

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Q: given f (x) = 3/5 cos (6x), what is the largest possible value for f (x)?

A: Given query is to find the largest possible value of the function.

Q: r(t) = cos(Tt)i– In(t)j+ vt – 6k; to =7 |

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Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = -3(x+5)2…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval. f(x) = 2x2…

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Q: find the indefinite integral 3x^2(x^3+1)^6 dx

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Q: The circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm. Use linear…

A: Given that the circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm .

Q: If f(x) = (3x² – 8) (5x + 4), find: f'(1) =

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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

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Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

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Q: onding to the given vector equation. r(t) = (P -1)j+ 3tk, -1sts1

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Q: Select the answer option that corresponds with polar coordinates (-1,–210\degree). 90° 2 4 -7…

A: given polar coordinate (-1, -2100)

Q: 1. Find the rate of y with respect to x at the point (1, 7) if 7y – ry = 4. dy da

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Q: find the indefinite integral of (3lnx)/x dx

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