The surface area of a spherical snowball is increasing at a rate of 9 mm2/min. Find how fast the volume is increasing when the surface area is 4n mm2. Express your answer in the exact form.

Q: f(x) = (-3x³ + 4) 7, which of the following is f'(x)? f' (x) = 63x² (-3x° + 4)-8 - f' (x) = 63x(-3x…

A: Topic:- derivatives    Using  Derivatives of x^n = nx^(n-1)

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Q: V 3 (d) r(1/6 + At) - r(n/6) = 3 COS At sin At cos At + SV3 sin At it

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Q: Which among the choices is NOT true about the continuity of f(x)? if x 1 X, メ, 2 f(x) = (2 – x), O…

A: Solution

Q: 2) Find of the following equation then simplify whenever possible. and dx dx2 x = 1+ Sin t y = Cos?…

A: The given parametric equation,   x=1+sin t, y=cos2t

Q: 2 2. Find an equation of the plane containing the point P(0, -) and the line determined by the two…

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Q: 2. Find an equation of the plane containing the point P (0, -) and the line determined by the two…

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Q: Use the following information to answer the question below. lim f(x) = 3 lim f(x) = ∞ lim f(x) = -3…

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Q: Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America…

A: Given problem:- Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in…

Q: - 9y" = 27 %3D

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Q: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the area of the region…

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Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. (x?2 - х) dx x2 + x +1

A: ∫01x2-xx2+x+1dxit is a improper fraction ( degree of Numerator= Degree of denominator)Using long…

Q: (6) (a) For each of the following differential equatons: • Determine the order of the differential…

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

Q: Find the derivative of the following equation x+3 x-4 (a-4)° 2x (x-4)² 7 (x-4) 2x-1 (x–4)°

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Q: Describe the domain and range of the function. KX, y) = 9x2 - y

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Q: Evaluate lim, (-5x + 5 – 5 - ) 12 O + O 5 O-5

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Q: Find f, and f and evaluate each at the given point. F(X, v) = arctan). (2, -2) f,x, y) = %3D X, v) =…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. x + 3y2) dy

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Q: Evaluate the triple iterated integral. r2 xyz dx dy dz

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Q: Evaluate -5x lim,→0 tan x O -5 O 1 O 5

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Q: ||r(1) × r"(t)|| Use the formula «(t) to find «(t). r(t) = 11 cos(t)i + 11 sin(t)j + 6tk K(t) =

A: We can solve as follows

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Q: Determine the generating function of the following sequence {0, 0, 0, 1, 1, 1, ....}

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Q: y2- 4y + 2x = 0, x = 2 and x-axis

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550…

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Q: Evaluate the iterated integral. T/4 '5 y cos(x) dy dx

A: A detailed solution is given below

Q: The marginal cost of producing the xth box of CDs is 90 + x + The total cost to produce 100 boxes is…

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Q: Find the curvature of r(t) = 5(cos t) i + 12(sin t) j + tk at t = m/2. Ok = 8/13 Ok = 5/13 O k =…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 8 cos(t)i+7 sin(t)j+10tk;…

A: This is a problem related to vector. based on the general formula of curvature and radius of…

Q: The cumulative percent of sexually active boys ages 15 to 20 is given in the table. Complete parts…

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Q: Find the derivative of the following equation: (2x – 1) (3a? + 2) - O 48x + 36x2 + 22x + 8 48x3…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0<ts 1. (y – x) dx +…

A: Just I have used the given parametric representation of the curve C to change the given line…

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: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). r(t) = t'i + tốj K(t) =

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Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (-2,4, -…

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Q: Solve the Laplace Transform of the equation f(t)= te⁻³ᵗcos²2t

A: We have to find the laplace transform of the given function.   f(t)= te⁻³ᵗcos²2t

Q: | (2x - y) dx + (x + 7y) dy. Evaluate C: x-axis from (0, 0) to (0, -7) and (0, -7) to (4, -7)

A: x-axis from 0,0 to 0,-7 indicates that interval of y is from 0 to -7 y-axis from 0,-7 to 4,-7…

Q: Solve

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Q: 27 10

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Q: n 1) Use the Integral Test to determine whether the series is convergent or divergent. n² +1 n=1…

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Q: Match the equation with its graph. 16 56

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Q: (5x2 – y²) dx + 2ydy = 0

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Q: Peaive marima and, minima, 4 any tar the funchno If there is not an answers write N/A Wde ms wefs as…

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Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

A: Given :

Q: Evaluate lim,-(-- 7 - 10 + 4) | 4x3 O +∞ O -7 O -10 8.

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Q: Find curl (8z i + 9x j + 8y k). curl (8z i + 9x j + 8y k) = ( i )i + ( i )j + ( i )k

A: We know: Where P, Q and R correspond to the components of a given vector field:F→=Pi→+Qj→+Rk→ curl…