How much will Software E cost you in the long run? $[?] Satisfied 75%. $0 $6,000 Software E Software F $10,000 Unsatisfied 25% $12,500 ● Satisfied 90% $0 ● Unsatisfied 10% $5,000 ●

Q: 55. Show that 5₁²x -3 x-³ dx. 1 dx x³ +4 converges by comparing with

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Q: Find the derivative of the function. f(x) = In(√x + 5) f'(x) =

A: Given data f(x)= ln(x+5)

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y=3x,…

A: The equation of line segment y=13x,0≤x≤7 Graph

Q: (2) Find dt when y = √x + 4x² et

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Q: 2. Consider the region between the curves y = √√ and y = x/4 for x ≥ 0, shaded below. (a) The curves…

A: The volume of the solid formed by the region bounded by the curves y = f(x) ,y= g(x) around the…

Q: Determine for what numbers, if any, the given function is discontinuous. x-3 if x ≤ 3 9) f(x)= =√x-3…

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Q: Plot the polar coordinate (-2,5) on the polar grid below by moving the yellow dot at the pole with…

A: The given polar coordinate point -2, 5π6. We have to plot the point in the polar grid.

Q: 9a) Find the local extrema of the function f(x) = e*(x² -3) using the Second Derivative Test.

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Q: Find the derivative of the function f by using the rules of differentiation. f(x) = 3x³ - 9x² + 8.…

A: The given function is  f(x) =3x^3-9x^2+8 As we know that d/dx(x^n) =nx^(n-1)  And differentiation of…

Q: Don, Dale, and Cam buy a carton of neopolitan ice cream that is one-third chocolate, one-third…

A: Given:  ------------- Individual scaled table for icecream…

Q: Given vector u= (4, -1) and v = =(2, 2), determine the value of u - 4v. Click and drag copies of the…

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Q: Determine whether the alternating series (-1)+1- n n=1 converges or diverges. 7n Choose the correct…

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Q: Graph the polar equation of a parabola. 8 1- cos 0 r=

A: Consider the polar equation  r=81-cosθ

Q: Find the indefinite integral using the substitution x = 5 sin(8). (Remember to use absolute values…

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Q: 1. S dx √4-x

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Q: (2) Use the Fundamental Theorem of Calculus or any other method to find each definite integral. (a)…

A: We have to evaluate the given integrals. Fundamental theorem of Calculus is given by-…

Q: 0 Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

A: The given integral is: ∫6∞ e-6x dx

Q: For the cost and price functions below, find a) the number, q, of units that produces maximum…

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Q: h) y" 1y = 3 sin (2x) cax)

A: Differential equations use underermined cofficient

Q: Sketch the graph of the given piecewise-defined function. if x -2 f(x) = In addition to graphing the…

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Q: Find the value of x as a fraction when the slope of the tangent is equal to zero for the curve:y _2…

A: The equation of curve y=-x2+5x-1

Q: Find the mass of the solid and the center of mass if the solid region in the first octant is bounded…

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Q: 225 ft X A building that is 225 feet tall casts a shadow of various lengths as the day goes by. An…

A: given x=209

Q: 4) Solve the initial value problem dy dt 1 ei y = 0 when t=0

A: As per our company guidelines we are supposed to solve first question in different questions so…

Q: Find the component form of the resultant vector.  f= Unit vector in the opposite direction of f.

A: We know that the unit vector of A is  A/|A|

Q: Find the Taylor polynomial T₂(x) for the function f(x) = 6e²x at x = 0. (Use symbolic notation and…

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Q: 43. y = (4 — x²/3)³/2, [0,8] -

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Q: For the line through (,) and (-1,3), find the parametrization of y(t) if x(t) = 1/-3/t. (Use…

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Q: Compute for • Y y = x³ sin √√√x + (√= + ¹ ) . . dy dx y = sec² (sec x) + tan² (tan x)

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Q: 2 If f(x) = 3x5 + 5x² + 7x +3, find the second derivative, f"(x).

A: To solve the following

Q: The Cartesian coordinates of a point are given. (a)    (−7, 7)            (i) Find polar…

A: (a). The given cartesian coordinate is:  (x, y)=(-7, 7)

Q: Find the first partial derivatives of the function. f(x, y, z) = xz - 4x5y4z4 fx(x, y, z) = fy(x, y,…

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Q: Evaluate the integral. √² (2²₁ + EVE-6₁ +1 i+tv/t - 6j + t sin(mt)k)dt

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Q: 5) y=log, (x-3) 6150

A: y=log14x-3

Q: Find the area of the region. Interior of r = 7 cos(8)

A: Given data: *The equation of the curve in polar coordinate is r=7×cosθ The above expression is the…

Q: Rewrite each equation in exponential form 2) log₁, 121=2

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Q: A 2.35-kg. 54.9-cm-long uniform bar has a small 1.94-kg mass glued to its left end and a small…

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Q: would like to find the function that is odd: f(x)=3sin(x) f(x)=3sin^2(x) f(x)=3sin(x)+3cos(x)…

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Q: For f(x) = what value C₂ 8, x2-16 (x+4)(x−5)' of c X = x = 1 otherwise is the continuous at x =…

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Q: Evaluate the given integral by changing to polar coordinates. 11₁²-1² d 2 - y² dA, where D is the…

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Q: 3. Determine the limit of each of the following functions if they exist: √x-2 x²-16 x²-x-12 x-4 a)…

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Q: ㅠ Let D be an ellipse rotated counterclockwise by radians, as pictured below. Before rotation, the 6…

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Q: Write the vector as a linear combination.   RS where R=(-4,-5) S=(1,5)

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Q: (42) The graphs of a function f and its tangent line are given below. In addition, suppose ƒ'(4) =…

A: The given details of function f(x):f'4=23f(4)=5

Q: 10 Convert the polar equation r = 5+4 sin 0 Select the equation of its directrix from among the…

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Q: Find the second derivative of the function. e¯5x + e4x f"(x) = f(x) = e =

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Q: Find the derivative of the function. f'(x) = f(x) = 7 V 8x² - 3

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Q: x = 4 cost, y = 2 sint, t = - E|-

A: The slope of the tangent line to the curve is equal to the derivative of the given function at a…

Q: Determine dy dx if y=u²etanu and x = U COST

A: we shall use chain rule to determine dydx=dydududx

Q: 6. Determine the intervals on which f is concave up and and on which it is concave down. No graphs!…

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