Write the domain of the function f. 6 f(x) = 12x³ + X

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A: Consider the function

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A: To differentiate the following function.

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Q: Find the derivative of the following function. 8 9 f(w) = ³ + xw²+6w+5 5 f'(w) =

A: Given,

Q: (a) Setup an integral to calculate the area between the curves r = 2 + sin 30 and r = 4 - cos 30.

A: As per guidelines we can answer only first question if multiple questions are posted.Please repost…

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 3 + 3x² + 2y², the planes x = 2…

A: Equation of elliptic parabolid z=3+3x2+2y2Equation of planes x=2 and y=4

Q: Problem 2: Use Cramer's Rule to solve for the System of Equations by hand: -x + y = 10 5x + 4y = 2

A: By using Cramer's Rule to solve the following system of equations.

Q: Compute the divergence and curl of the vector field F = (sin(x - y), - sin(x - y), ze²²) Is F…

A: Given that,

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Q: Find the logarithm using the change of base formula. log 717 log717= (Round to four decimal places…

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Q: ƒ(xº) and G(x) = (ƒ(x))º . 8 ow that a 13, f(a) = 2, f'(a) = 3, f'(a = = and G'(a)

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Q: Compute the limit of a sequence. a. Find the limit of the sequence a n n+70 2 √n² Vn +7

A: Since you have asked multiple questions in a single request, we would answer only the first question…

Q: same 3. Graph lines I and k line l: 2x + 4 = 0 line k; 2x + 5y = -15 (+ show at least 3…

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Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: Find the GCF of the expressions. 15a8b(c – 7) and 12a¹⁰b7(7 — c)

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Q: Compute the value of the improper integral. (If the integral diverges to ∞o, type oo; if the…

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A: The region is bounded  by The graph of region

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Q: 5. Recall that y = sec-¹x (with domain x ≥ 1) means sec y=x and 0 ≤y</2 or T ≤ y ≤ 37/2. Use…

A: To prove

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A: The given equation of function

Q: ind the following limits. -2x³ - 6 x→∞ −5x² - 7x - 8 a. lim -2x³ - 6 x→→∞ −5x² – 7x - 8 b. lim ||

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Q: Prove that for all integers n, it is the case that n is even if and only if 3n is even. That is,…

A: We have to prove that for all integras n, it is the case that n is even if and only if 3n is even.…

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A: Given, If , than

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A: given graph of f(x)graph f(x - 4) - 5

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Q: 1. Let f be the function defined by f(x) = ln(2+ sin x) for ≤x≤2. a) Find the absolute maximum and…

A: The given function  for .The aim is to find the absolute extreme values and the inflection points.