The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tangent. 5 4 3 2 1 10-9-8-7 -6 -5 -4 -3/-2 -1 5 6 7 8 9 10 -2 X =

Q: Calculate the average rate of change for the function f(x) = − x² + 3x + 4 intencal-1<x<3

A: We can find the average rate of change as below

Q: Question

A: Please refer to the image below

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Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: 1 (b) lim x →0 sin² x 12/200…

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Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

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A: The objective is to find the derivative.

Q: P N

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A: Here we have to find the volume by using shell method.

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Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (4 × 1) (4x4) (4x 1)…

A: We know that matrix multiplication AB is defined only if number of column of matrix A is equal to…

Q: 4. Consider the plane : x + 3y - 2z = 6 and the line with parametric equations l: x=4-3t, y=2+t, z =…

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Q: Solve each of the following equations, showing all work. a = log₂z (4x²) -4 = log t

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Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: Question Suppose a population of fruit flies increases at a rate of g(t) = 4e0.11, in flies per day.…

A: Given Population of fruits flies increases at a rate of gt=4e0.1t,per dayinitial population =380…

Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given:        π∫-228-x2-2+x2dx     =π∫-2264+x2-16x-4+x4+4x2dx     =π∫-2264+x2-16x-4+x4+4x2dx…

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A: Let's find average value of given  function on interval [ -3 , 0 ].

Q: 4. Determine the number of terms in the sequence: -45, -32, -19, -6, 410 ***

A: There are 36 terms  in the sequence.

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Q: 9 Determine the area to the right of g (y) = y² +4y-5 and to the left of the y-axis.

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Q: [₂7-4x dx -2 Determine the value of [4f(x) dx given that [ƒ(x) dx = 10 and ſº ƒ (x) dx = 3. 27 sin…

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: The population of a town is decreasing at a rate proportional to its size.In 1980, the population…

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Q: draw and identify the graph of the following surfaces a. z = √9-y²

A: Given

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the…

A: Let's solve. Two curves given r=3 and  r=2-2sin(theta).

Q: Determine wether the sequence converges, or diverges. If it Converges, S(2n-1)! 2(2n+1)!S

A: We have to find sequence converge or diverge..

Q: 2. z = x + 2 У Х x

A: Solution

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Q: TYPEWRITTEN

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Q: Look for the smaller loop of the limacon r = a(1+2 cos 0) and solve for its area.

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Q: 2.which of the ff.is the reverse process of chain rule?a additional rule b.product rule…

A: Reverse Process of Chain Rule:       The chain rule for derivatives allows to calculate the…

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A: using double derivative test to find out height when cylinder volume would be maximum.

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Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

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Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. I (a) √(x…

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Q: 2 b3 3 dy

A: Let's solve given integral.