A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min. At what rate is the volume of the snowball decreasing when the radius is 16 cm. (Note the answer is a positive number).

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A: This question can be solved using the concept of differentiation.

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Q: So whats the answer

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A: let Distance between first pole and acnhor point = x  distance between other pole = 5 - x

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A: We have to estimate the error in computing the length of the hypotenuse.

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Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: The area of a triangle with sides of lengths a and b 1 and contained angle is A = a b sin 0. If a=2…

A: Use the application of derivative to find the rate of change.

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A:

Q: d Calculate [ri(t)- r₂(t)] and [r₁(t) × r₂(t)] first by differentiating the product directly and…

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Q: Question 6 Differentiate: y = arccot (x) + arctan 2 + x 1 - 2x 0 1 (E) None of these O:2x O 1-2x

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Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 3.2% per year. That…

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Q: Given that the tangent and normal to a curve at point P(x, y) meet the x-axis in A and B…

A: It meets the x axis in A and B respectively and y axis in D and E respectively.To Find: Family of…

Q: Find the derivatives of the following function (a) y=4²+2 2x+3 2³+2+1

A: The solution is as follows:

Q: 5-39+370=?

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Q: Select all of the following graphs which are one-to-one functions. 3- D 0 O eie 2 1 --5-4-3-2-1 -1…

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Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

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Q: เก 23 -5-4-3 5

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Q: Round your answer to four decimal places, if necessary. Approximate the area under the curve on the…

A: We have to find the area by right endpoint rule.

Q: (a) f(x) = 2x³ + 3x² - 12

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Q: Find each limit, if it exists. (a) 6 - 7x lim x-00 6x³2 (b) 6-7x lim x→∞ 6x-2 6-7x2 (c) lim 6x - 2…

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Q: Based on the table below, I f(z) 53 61 3 0 1 2 3 4 10 Evaluate f(5): f(5)= Solve f(z) = 3: z = 45 5…

A: The table is given by To evaluate: The value of f5 and the value of x for which fx = 3.

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Q: Find the curvature of the curve. r(t) =<2t, - 3sin t, 3cost)

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A: Given Continuous annual stream function R(t)=$10000 time t=10 year  ; M=10 Rate of interest r=6%…

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A:

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Q: Use the graph of f to describe the transformation that yields the graph of g. f(x) = 6*, g(x) = 6x +…

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Q: ₁ x³ In x dx e 3

A: Solving the problem by finding the value of the integration.

Q: 3) f(x, y, z)=x² + y² -2=²+ = ln(x). (1,1,1) -1/2 4) ƒ(x, y, z)=(x² + y² + =²)¯¹¹² +ln(xyz),…

A: 3)    fx,y,z=x2+y2-2z2+zlnx We have,       grad∅=∇f=i∂f∂x+j∂f∂y+k∂f∂z ∂f∂x=2x+zx ∂f∂y=2y…

Q: ) Encuentra la inversa de la función f(x) = 4x² – 1 3x² = x < 0.

A: The given function is f(x)=4x2-13x2 We first replace f(x) with y. y=4x2-13x2

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Q: Evaluate: sec²(4t) [3-tan(4t)]³ dt a.-16 [3-tan(4t)] + C b. | [3 –tan(4t)] + C 4 OC. 1 [3-tan(4t)]…

A: integration

Q: B) Estimate the next root of the function f(x)=x^3-x-1 using Muller method, let x0=1, x1=2, x2=1.5

A: Muller method: The Muller approach is applicable to any root-finding programme, but it is especially…