8. y = x³ + x , 0 < x < 2

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A: Use the nth term test for the series divergence.

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A: Given query is to find the partial derivative if the expression.

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A: Concave up:(-∞, -5) : f''(x)&gt;0function is decreasing in (-∞, -9)f'(-9)=0and function is…

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Q: The function f(x, y) = 2xy + y²x + 11 has %3D two critical points. Select one: O True O False

A: As per our guideline of multiple questions are posted we are supposed to answer the first one.  Here…

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Q: sinx 18. Supposed Ax) = [ V1+t* dt and g(y) = | f(x)dx , what is the value of g' 15 A) 2 C) B) D)

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Q: Solve D.E using bernouliis equation r'y-x'. dy x'y-x' . dx = y* · cos(x)

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Q: 1. a) Find the point of inflection(s) of f(x) = x³ – 6x2. If an answer does not exist write DNE) b)…

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Q: Evaluate the limit and express your answer in simplest form. arcsin (; + h) - arcsin (;) 3 3 lim h→0…

A: limh→0sin-113+h-sin-113hApply L-Hospital Rule

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Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: Given problem:- You are driving a car away from home. Your velocity (miles per hour) t hours after…

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A: let the height at that moment is h miles.

Q: f(x) = 2x² – 4x + 2 on [–2,3).

A: answer is in next step

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A: In order to find the displacement we need to integrate the velocity function between the limit of t…

Q: QUESTION 4 12 10 10 Figure 2 -16 A building is 8 feet wide and 16 feet long (refer Figure 2). It has…

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Q: Using a graphing calculator, estimate the real zeros, the relative maxima and minima, and the range…

A: Please see the answer below.

Q: -1 Given f (x) = tan (2x), find f'(x) in simplest form. Answer: Submit Answer

A: f(x)=tan-12x

Q: Solve D.E using Exact from first order 2.xy dx +(x² +3y²)dy

A: To solve the given differential equation.

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Q: The gcd of 687 and 24 is: 01 O 11 12 3

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Q: -1 Sketch the function fx) = indicating any extrema, points of inflection, and vertical asymptotes.…

A: Follow the procedure given below.

Q: Integrate f(x, y) = (x + y + 5)-² over the triangle with vertices (0, 0), (4,0), and (0, 8). (Use…

A: Given problem:- Integrate f(x, y) = (x + y + 5)-2 over the triangle with vertices (0,0), (4,0), and…

Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3,-2, 1, 5)} %3D…

A: The objective is to write the range off and graph g.

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Given query is to find the velocity after 5 second.

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Q: tan x e sec x dx

A: Given,  ∫0π4etan x sec2 x dx

Q: Given f(x, y) = 4x²y then the total differential df %3D O 4xy dx + 4x² dy O 8xy dx + 4x² dy None of…

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Q: For all integers x and y, if 6x+y is odd, then x and y are both odd. True False

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Q: Write the infinite series using sigma notation. 7 7+ Σ 7 7 + 625 7 25 125 = U ||

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Q: 2 Find x so that log10 x = log, 10

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Q: of the region described. atween the line y=x and the curve y= 2x/64 -x in the first quadrant a of…

A: Please refer to the image below

Q: (2.x* + 5x" – 11) dx = |

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Q: 8 culate |4x2dx, given the following. 1 7 8 dx = 114 169 2 Xdx = xdx = 24 1 7 1

A: Given query is to find the value of the integral.

Q: 4. Use Cramer's rulc to solve the lincar systemn. r+ 3y 2 5.r +7y 3

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Q: Consider the curve given by the following: r = 4 cos (0),0 < 0 < n . Find the values of 0 such that:…

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Q: 4. [Geogebra Question] Let f(x) = (1– x) In(x*) +3.0225887223. Use Geogebra to find the definite…

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Q: A particle travels along the x-axis such that its position is given by x(t) = t0.8 cos (2t). What is…

A: We have to find the velocity in this question.