Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter your answers as a comma g(u) = 0.1u3 + 1.2u2 + 143 local minimum values local maximum values

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A: ∫un du = un+1n+1+C ; where , 'C' is an integration constant. dsin(x)dx = cos(x) dtan(x)dx=sec2(x) dc...

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives 

Q: xsin-xdx The antiderivative of -V1-x2 sin-!x +C A True B) False

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Q: 1 dx (2x + 1)4

A: We will use concept of improper integral here. 

Q: The integral expression: 0c Ocos20 d0 can be evaluated by parts of the form: udv =uv – vdu. The prod...

A: solution is given below.. by integrtion by parts

Q: Question 10 Determine whether the improper integral converges or diverges. dx 10 -9 A Diverges B) Co...

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Q: Find the volume of the solid generated bounded by x = Vy – 1, x = y² – 2y + 1, rotated about the x- ...

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Q: Determine the surface area generated when a portion of the curve in the first quadrant of x2 y? = 4 ...

A: We need to find surface area.

Q: Find the values of a and b if the tangent to y = ar² + bx at (1,5) has a slope of 8.

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Q: dy e. dr + 4y = x² dy = sin(x + y) dx f.

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Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the equa...

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Q: Let w = xey/z, where x = t², y = 1-t, and z = 1+ 2t. Use the chain rule to find X. (Write your answe...

A: Given query is to find the derivative.

Q: | sin' cos“ 4 x

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Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per we...

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Q: Find the arclength of y = 2x/2 on 1 < x < 3

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Q: BE F(x, y) = #ty? y I THE FIELD DEFINED IN %3D 1²+y² 1²+y? D = R? – {(0,0)}. CALCULATE $ F •d7, · d7...

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Q: de spaces in characters. * 4 Find the value of f'(-1) if ƒ (x)=- (3r² – 2.r + Your answer

A: Topic:- derivatives

Q: the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 %3D %3D from t...

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Q: az az Find and e = 5x 2² + sin(r + 2) – y?.

A: Find the partial derivative of z with respect to x and with respect to y respectively

Q: Find an equation in the form y = ax² + bx + c_whose graph has an x-intercept at x = -1 and a tangent...

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs o...

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Q: Find the area bounded by the parabolas (x 1) 4ay and y2 + 4a = 4ax.

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Q: da dy 3x? – 1 and dt Find at z = 1 if y = at x = -5. dt da dt

A: topic - derivative of a function

Q: Find the indefinite integrals: x5/2 + 4x + 1 dx a) / ? b) / (a" 6t7 2 + Te' ) dt t3

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Q: tany Oメ

A: The given limit,      limx→0tan xsin 2x

Q: sin (e) cos (e)de

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Q: Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 – 0...

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Q: If f(a) = 7cot- * +2, then find the value of f(-4) is, 17

A: Given query is to find the derivative and indicated value of x.

Q: 34x + 16 f(z) g(z) The partial fraction decomposition of 8x2 can be written in the form of - 14x + 3...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+1 4k k=...

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Q: Find the arclength of y 2x3/2 on 1 < x < 3

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Q: If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact di...

A: This question can be solved using the concept of maxima and minima.

Q: At which point/s (value/s of x) is the function neither continuous nor differentiable? DO NOT includ...

A: see below the answer and explanation

Q: 6 -dx Find 1

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7 M Gmail 9 YouTube Profile 3...Jlabilu P PicsArt...

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Q: CORsider the following. f(x) = 6x³ – 9x² – 108x %3D (a) Find the intervals on which f is increasing ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: Find 2x dA over the region R = {(r, y) | 0<z< 4,0 < y < 6} by identifying it as the volume of a soli...

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Q: Consider the integral   ∫  e3x ln(14x) dx Using a suitable integration by parts, we can write this...

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Q: 2. Complete the following tables of values to investigate lim f(x) f(x) -1 -0.8 0.75 -0.35 0.45 -0.1...

A: solution

Q: The integral of t'in t with respect to t is; A none of the given choices (3ln t + 1) + C -(3ln t- 1)...

A: Given query is to find the integral.

Q: xsin-xdx The antiderivative of V1-x? sin-!x+C is x- (A True (B) False

A: The given integral,∫x sin-1x dx1-x2

Q: ne graph of y =- have a horizontal tangent line? +9

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Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: 1 dx (2х + 1)4, 8

A: Given query is to find integral converges or diverges.

Q: DO NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: Find the domain and range of -4 < a<0, f(r) = 0 <r<4.

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Q: dx (apply the properties on how to solve improper integrals 1 – x²

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

Q: The graph shown below is f(x) = -3x + 2.lf g(x) = Sốf (t) dt , find g '(-1). %3D %3D X 54 3-2 -1 1 2...

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