The edge of a cube is changing at the rate of 0.2 cm/sec. How fast is the volume of a cube changing when the edge is 15 cm? Answer:

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A: Topic :- application of integration

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A: Mean Value theorem: If f(x) is a function that satisfies the followings.      (i) f(x)  is…

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A: Given the function  f(x) = 7x10 + 8x7 - 7x2 - 5. We have to find the antiderivative of f(x).

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A: Maclaurin series for f(x) is given byf(x)=f(0)+f'(0)x1!+f''(0)x22!+f'''(0)x33!+...f(x)=(1+x)7…

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A: At first we want to find radius of the circle.

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A: We will solve this question using integration by parts.

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A: Find your answer below

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Q: 5) The solution of the volume of triple integrals r1-x 5-r dz dy dx is:- 30 A) 5 20 В) з С) 30

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Q: Given f"(x) = 4x – 1 and f'(– 1) = 1 and f( – 1) = - 1. Find f'(x) and find f(4)

A: Basic integration is required.

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Q: (2x-4y)dydx 3.

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Q: (b) Use implicit differentiation to find when Sr' + ry - Se'g

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Given problem:-

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Q: Find the interval of convergence. 00 (x + 6)" Σ (n In(n))² n=2 (Use symbolic notation and fractions…

A: The given series is: ∑n=2∞(x+6)n(n(ln(n))2 Let, an=(x+6)n(n(ln(n))2, n&gt;1

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A: Given query is to find domain range and asymptot of the function.

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Q: 6. Determine, with reasons, the absolute maximum and absolute minimum of f(x) = x/2 – x on the…

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Q: Find the area of the shaded region. r = 3+2 cos 0 r = sin 20

A: Area of polar region =                                    integration of r^2/2 d(theta)

Q: 12x3 00 Find the power series for f(x) = in the form > an. (1 – x+)² n=1 Hint: First, find the power…

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Q: y(x - 6y)dx - x(2x - 9y)dy = 0; when x=1, y=1 a. y?(2y-3x) = 3x2 O b. y?(2y+3x) = x² c. y2(3y-x) =…

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Q: 22+88

A: The given data is: 22+88 To find the value of the sum.

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Q: -8 17 sine -15/17 -8/17 15/17 8/17

A: Given query is to find the measure of indicated angle.

Q: Sales of a Product The total number of units of a new product sold t months after its introduction…

A: see below the answer and explanation

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Q: Find all solutions to the equation. 2 sin 0+/2 =0 Write your answer in radians in terms of t. TC…

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -175 feet per…

A: see below the answer and calculation

Q: 6. (6x – 3y + 2) dx - ( 2x - y– 1) dy = 0 ans. 3x - y + C = 5 In | 2x - y + 4|

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Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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A: This is a problem related to taylor series expansion. Based on the general formula of taylor series…

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Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

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Q: (b) Given -3x + P for x7 Determine the value of p if f(x) is continuous at x=7. TEST DMI123

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Q: Find the absolute maximum and absolute minimum of f (x) = 2x^3 −6x + 1 on [0, 3].

A: Find first derivative and equate to zero. And find interval at which function is increasing or…