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Calculus

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Q: Find all relative extrema using the second derivative test.1. f(x) = x^2(6 − x)^3 2. g(x) = x^3 −5x^...

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Q: Exercise To Try 7 Based on the example above, what do you think we should multiply both the numerato...

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Q: 2. [Essay] Determine the constants a such that the following functions are continuous at x = 0,f (x)...

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Q: series converPS Dedermin if jhe Jollowing alivepes. apes show your work. or 3. n+2

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Q: Find the optimal solution for the following problem. Maximize C = 4x + 12y subject to 3x + 5y ≤...

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Q: Find lim tanx-x x2 sinx X

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Q: Hi what is the integral of x^2

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Q: In the pair of supply and demand equations below, x represents the quantity demanded in units of a t...

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Q: ketch the graph of the function f. Sx - 6 f(x) = if x s 3 1-2x + 3 if x > 3 y 1아 1아 -10 10 -10 10 -1...

A:

Q: A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle...

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Q: Evaluate the integral ∫csc4xdx.

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Q: Let g be the function defined by g(x) = -x² + 6x. Find g(a + h), g(-a), g(vā), a + g(a), and . (e)6 ...

A: Since you solved three correctly, so I will show the incorrect ones. We plug x= sqrt(a) in g(x)

Q: 4

A: Using the given formula we get:

Q: Evaluate each integral by interpreting it in terms of areas.

A:

Q: 5

A: We will find the limit of the given sequence as n approaches infinity.

Q: Calculate the average value of f(x)= x sec2 x dx on the interval [0 , pie/4 ]

A: Average value of function f(x) is :

Q: Fill in each box to make the statement true.(5 + √ )(5 - √ )=22

A: Here given

Q: A car rental agency rents 180 cars per day at a rate of 32 dollars per day. For each 1 dollar increa...

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Q: I need this question's answer with calculusII syllabus

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Q: Which of these describes a parametrized line perpendicular to the plane 3x + 2y + z = 15? a) (2+6t,3...

A: The direction ratio of the normal vector to the plane is (3, 2, 1) So the direction ratio of the lin...

Q: Find the velocity, celeration, and speed Of a particie given position function. r(t) = (2 + t, 2 - t...

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Q: find dp/dq p = 5 + 1/cot q

A: We first simplify the expression of p

Q: Consider the surface described by x² – v² = 144. Which of the following describe the same surface in...

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Q: A high-tech company purchases a new computing system whose initial value is V. The system will depre...

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Q: 1 (j) dx x² – 1 |

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Q: A function f is said to be invertible with respect to integration over the interval [a, b] if and on...

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Q: Decide whether the following infinite sum is convergent. If so, find the value.

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Q: A force, slows the motion of a weighted spring so that the mass's position at time t is y=22e-t co...

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Q: a. Let a = ⟨0, 1, 0⟩ , let r = ⟨x, y, z⟩ , and consider the rotation field F = a x r. Use the right-...

A: Part a) Given:

Q: 66-69. Mass and center of mass Let S be a surface that represents a thin shell with density p. The m...

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Q: Rationalize the numerator. (√x - √y/x2 - y2)]

A: We multiply the numerator by its conjugate

Q: Find the inflection points of f(x)=x^4-8x^3+19x^2. On what intervals is the graph concave up? On wha...

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Q: Use the Trapezoidal Rule with n=6 to approximate π∫0sin2xdx.

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Q: Find two positive numbers that satisfy the given requirements. The sum of the first number and twice...

A: Let the numbers are x and y So, x+2y=108 Or, x= 108-2y Product of them = P= xy= (108-2y)y

Q: Question 10 Find the arc length of the curve y = J8sin()-1 1 dt for -2<x<2. Your answer: o V8 O cos(...

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Q: Write as a single integral in the form f(x) dx: L f) dx + [* f(x) dx -[ ) dx

A: Recall the properties of definite integrals: Please pay attention to the last one i.e. "Adding inte...

Q: Calculus Question

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Q: sin (In (x))x

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Q: Find the critical points of f(x) = x' – 18x? + 60x and use the Second Derivative Test (if possible) ...

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Q: Find all the x-values at which the critical points occur of the function f(x) = 5x' – 16x2 + 11x on ...

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Q: What is (1,2, 3) х (4,5, 6)? A) (2,4, 7) В) (— 3,6, —3) С) 32 D) (4, 10, 18)

A: To determine the cross product.

Q: Tests of a bone discovered in a dig at Saint Joseph’s University contained 27% its original amount o...

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Q: 3

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Q: Find the volume of the solid generated by revolving the region bounded by y=x+3, y=4 and x=5 about t...

A: We first sketch the region using a graphing calculator The shaded region is rotating about the bla...