Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y + 153 = 0 = 0 b) 4x² 25y²8x100y-196 c) y² + 6x8y - 31 = 0

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A: Please see the below picture for detailed solution.

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A: Topic:- calculus

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A: Let's find speed of rocket.

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A: The objective is to find dy/dt.

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A: Integration is the inverse process of differentiation.

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

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A: For equation: y=5x y= 5 x3 required curve is: Option D

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A: This question is related to partial differentiation, We will solve it using given information.

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A: A factory is dumping pollutants into a river at a rate given by dxdt=t34600 tons per week, where t…

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A: Graphical transformation

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A: We have to find the exact value of costan-1-1sincos-1-32.

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Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

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Q: 2

A: We will solve the problem

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A: Since you have asked multiple questions so we will solve first question for you.

Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function, f(x)=4x3-6x2-10x+1

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A: Follow the procedure given below.

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Q: Numerical Response #2: Bonnie is investigating the polynomial function P(x) = ax + bx³ + cx² +dx+e…

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A: Here we need to estimate the area under the curve using two and four rectangles.

Q: 1. Let matrices be 6 -2 -21 [3 1 -4 0 A = 10 -3 1 C=0-2 14 0 L-10 5 1 -4 0 11 5 a = 1, b = [308]…

A: PLEASE REPOST THE QUESTION TO GET THE REMAINING PART TO BE SOLVED

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A: We use sandwich theorem to find limit

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A: Given, 25.013

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Q: Q5) Evaluate the following integrals: 1. ƒ (1+√3)³ d -dx √x 2.JxỏeXdx 3.f (x+3) dx 2x³-8x

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first part. If you…

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Q: What is the 150th term of an a n-1 +2 ₁fa₁ = 11₂

A: