Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

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A: THE SOLUTION IS GIVEN BELOW

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A: This question is based on two diffrentiation rule-: 1. Product rule 2. Quotient rule.

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A: The formula for the curvature is κ(t) = r't×r''tr't3

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A: For a given vector fx, y, z the gradient vector denoted by ∇f is ∂ ∂ xf∂ ∂ yf∂ ∂ zf So, ∇w=∂ ∂…

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Q: 10. If G(x) is an antiderivative of g(x) then y = G(x) is a solution to the differential dy equation…

A: If G(x) is the antiderivative of g(x), an integrable function. Then ∫g(x)dx=G(x)+C, C is a constant.…

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A: u=i+j+kv=2i+j-ku×v=ijk11121-1u×v=i(-1-1)-j(-1-2)+k(1-2)u×v=-i-3j-ku×v=-i-3j-k

Q: pind projaB iF A > {l,0,27 B: <6,-2 ,3

A: A=&lt;1,0,2&gt;B=&lt;4,-2,3&gt;projAB=A.BA2.A

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Q: 85 2 1 r³)(1 x2 O A. (3x? – 2+ 3 - O B. 85 2 1 (3x2 – 2+ -x3)(x+ 3 · (1 – →)(x³ – 2æ + 17x3) 85 2 1…

A: Given query is to find the derivative using product rule.

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A: I am attaching image so that you understand each and every step.

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Q: Find the solutions of the system of inequalities by graphing: æ + y 1

A: Explanation of the answer is as follows

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