Find f'(x) and find the values(s) of x where f'(x) = 0. f(x)=(2x-21)(x²+30) f'(x) = ☐

Q: Suppose that f(x) = (x+4)(x-3)². (If an answer does not exist, enter DNE.) (a) Find all critical…

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A: Definition used.

Q: N Find the general solution of this equation: 9y"+6y'+ y =

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A: Final answer w=211.33Explanation:

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A: I have attached the image below for solution.Explanation:

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A: R is only symmetric relation.Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: Find the equation of the radical axis of the circles 3x^2 + 3y^2 -6x -30y +30=0 and 4x^2 + 4y^2 -32x…

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Q: Explain why the function is differentiable at the given point. Then find the linearization L(x, y)…

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Q: 4.(2.5) Let g(x, y) = (x² + x, y + 3) and f(u, v) = (u - v, u² + v²). (1) Find Df(u, v) and Dg(x,…

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A: this one actually diverges but here i am with the solution for you below in the explanation. we say…

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Q: Use a theorem for computing L{eat f(t)} or {tnf(t)} to find F(s) = L{f(t)}. a. f(t) = (sin 3t -…

A: Answer (a)The Laplace transform of f(t)=(sin(3t)−2t2)e−4t  is  9+(s+4)23​−(x+4)34​ Answer (b)The…

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A: That is the  general solution u(x,y) in the given explanationExplanation: please give helpful rating…

Q: 3. Prove that 6">5"+9 for any integer n ≥2.

A: To prove that 6n>5n+9 for any integer n≥2, it will use induction.Basis Step:First, will verify…

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Q: (6) Find the general solution of the following differential equation x²y" - xy' + y = x³.

A: See solution in image Explanation:

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Q: 8. a) Show that f(x) = kg(x) is quasiconvex if g(x) is quasiconvex and k > 0.b) Show that f(x) =…

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A: See in detailsExplanation:

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3. Solve the homogeneous differential equation " + 3y" - 4y = 0

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Q: 8. For each of the following arguments, construct a proof of the conclusion from the given premises,…

A: d. (AvB) D ~C, (CvD), A .. D1. (AvB) D ~C (premise)2. CvD (premise)3. A (premise)4. AvB (disjunction…

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Q: (D) Graph the function y = cos(x)+cos(x)| 2

A: The function is :

Q: (5) Find the general solution of the following differential equation y″ – 4y' + 4y = (12x²-6x)e²x.

A: The general solution is found.Explanation:Step 1:Step 2:

Q: FNSACC321/FNSACC322/FNSACC421 Assessment Monarch Institutes

A: Here's a summary of the key points:1. Competency-Based Evaluation: Students are evaluated based on…

Q: 6. (Basis and Dimension.) Say P3(R) = {f: R → R | f(x) = ax³ + bx²+cx+d for some a, b, c, d = R}…

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Q: 1.- Solve the ODE ""-6y" =1+2cos(x) using the method of undetermined coefficients.

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A: Function f:X→C, where  X is an infinite set equipped with the cofinite topology, andC denotes the…