1. The volume of a sphere is given by V = πr³, where V is the volume and r is the radius. If a certain sphere has a radius given as 0.005250m. Find it's volume specifying it with correct number of digits. Calculate the smallest and largest volumes that the sphere might have with the given information.

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A: A detailed solution is given below.

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A: We have to match the graph with equation and write name of these shapes.

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Q: 3x + 1 Evaluate (x-1) (x+2) dx using Partial fractions.

A: This question can b solved using the concept of partial fractions.

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A: Given that infinite series is

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Q: 12) The formula of the particular solution yp of y(4) + 4y"=3 sin(2t) - 5cos2t, is: a) yp= Asin(t) +…

A: The given differential equation:y4+4y''=3sin2t-5cos2t.We need to find the formula of  the particular…

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Q: ng expression:

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Q: f(x) = = 250 x1.40

A: As we know that; The Power Law: ddxxn=nxn-1 And a·f'=a·f', where a is constant.   The given function…

Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

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Q: cos-¹(2x+5), then dom(f) = = If f(x) = x+3 (A) (-3,-2) L (B) [-3, -2] (C) (-3, -2] (D) (-1,1) (E)…

A: Doamin of a function:- It the set of input values where the function at the values…

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A: Given: Axis interception points of 2x3-45x2+300x+6:  X Intercepts: -0.01994…, 0, Y Intercepts: 0,…

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Q: 4) a) Determine the derivative dx of the following functions y = 3** b) 1-3- 3e² 1² c) y d) y =…

A: We have to find the derivative.

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Q: 1) e5Ln x+4Lny-Ln z 2) 2Ln√x + 2Lnez - 2Lne* Rewrite the following quantities

A: Given :1. e5Lnx+4Lny-Lnz2. 2Lnx+2Lnex-2Lnex

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Q: (*). (1) without a calculator. We will do the followings: 1.2.3.4 7.6.5.4 = 2.3.4 7.6.5 7.5 = 1 I…

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A: In this question, we need to evaluate the given integral.

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A: Topic:- algebra

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Q: 1) What is the slope of the graph y = 5e³x at x = 1?

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Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2) O…

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