Given the function f(x) = 1 (in blue), consider the functions g (in green) and h (in red) graphed below which are x3/2 continuous on (0, ∞). Assuming the graphs continues in the same way as a goes to infinity, answer the following questions. 10-

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Q: 9. Use the Second Derivative Test to find the relative extrema of g(x) = 6x3 + 9x2 − 36x

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A: See below the answer and explanation

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A: Power Rule of Differentiation This is one of the most common rules of derivatives. If x is a…

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Q: 3. Triple Integrals in Cylindrical and Spherical Coordinates a) Evaluate b) Evaluate R x²dV where R…

A: Concept: Integration by parts: ∫f(x)g(x)=f(x)∫g(x)dx-∫f'(x)∫g(x)dxdx The cylindrical coordinates…

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A: Topic = Algebra

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Q: omplete the table. y = f(g(x)) y = (2x - 8)² U= u = g(x) y = f(u) y = 4²

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A: as per the rules we are supposed to answer the first question and rest can be reposted.

Q: b) y = 2x + 5

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Q: 7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

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Q: Evaluate te F. dr. F(x, y) = xi+yj C: r(t) = (9t+4)ī + tj, Ostsi

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Q: would you mind typing it out I cant really read it thank you

A: When the numerator of a fraction approaches zero the value of the fraction itself approaches zero.…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

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Q: Find all complex z that solve the equation z^12 = −1. Which of these solutions also solve z^4 = −1?

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Q: Find all critical numbers of the following function: t = f(t) = 3t¹/5 - 2t4/5

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Q: Find the total differential. w =

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Q: The domain of the function f(x) = √e-4-elx-3|—x is O(A) the empty set (B) a half-line of the form…

A: The given function is  f(x)=e-4-ex-3-x