How long, rounded up to the nearest year, will it take me to become a millionaire if I invest $3,000 at 12% interest compounded continuously? ______ yr

Q: Evaluate the indefinite integral as a power series. 1 f(t) = 8 f(t) = C + Σ Ë n = 1 In(1-t) dt 4t…

A: Give function:- ft=∫ln1-t4tdt

Q: Use the graph of f to estimate the values of c that satisfy the conclusion of the Mean Value Theorem…

A: We have to find the values of c.

Q: Evaluate the limit lim t-0 os(t) i + 1 - cos(t) t 3 12² ³ 5 ³ + e³¹²7) -

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Q: I would like to ask why the ranges of the angles here are flipped when compared to the one in class,…

A: The answer is in step 2. What ever you mentioned is correct I am providing the solution in step 2.

Q: can you please explain step by step in words

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: The revenue function is R(x)=40x-0.5x2 Cost of producing x units is C(x)=6x+10 Profit function is…

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Q: Worldwide annual sales of a product in 2013–2017 were projected to be approximately q = −10p + 4,480…

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A: The points of inflection of a function are the points where the concavity changes. To find these…

Q: where Compute Ja S = {(x, y, z) = R³ x² + y² + z² = 4, z ≥ 0} (.x²₂ ²z+y²z)ds,

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Q: Find the derivative of the following functions using the definition of the derivative 1. f(x)= 4x -…

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Q: 39. y = x² +1 x - 4 [5,6]

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Q: Let f([])---6 find that f(2) 수 수 - u +6v be a real-valued function and let - [³5] and 수 [2³] be…

A: Given : fuv=-6u+6v   To Find : a) f(x→)   ,     b) f(y→),             c) f(z→)

Q: ∞ 3" Σ n=12" + n

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Q: Solve the​ triangle, if possible. a = 100 m, A = 13.15°, C = 27.07°. Find if there is one or more…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g- h c) g.h d) Igl

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Determine which law applies. Then solve the triangle a = 3.7, b = 2.2, c = 2.5

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Q: Suppose the point (8, -5) is on the graph of y = f(x). Use this point to answer the questions below.…

A: NOTE: Refresh your page if you can't see any equations. . if the point (x,y) is on the graph of…

Q: Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve. x…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute maximum and minimum values of…

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Q: f(x) = -3 sin T2 - 2bx² x -2 x 3x² + e²

A: Please see the below picture for detailed solution.

Q: Find the area of the shaded region. y = 0 2 square units y 2 -2 y=x√√4-x² y = 0 2 X i

A: We need to find out the area of the shaded region.

Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

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Q: Sketch the region in the first quadrant enclosed by y = 5/x, y = 4x, and y = 2. Decide whether to…

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Q: (i) Determine the equation of the line tangent to y = f(z)=3-2x+z² at the point when z = -1. (ii)…

A: NOTE: Refresh your page if you can't see any equations. . Since you have asked multiple questions,…

Q: 10. The Colossus was a ferris wheel built in Saint Louis in 1986. The diameter of the wheel is 165…

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Q: can you explain step 3

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Q: Find the Annihilator of the given function(s) f(x)=e²x+4e -3x a. (D-2)(D+3) b. (D+2)(D-3) C.…

A: Option (a) is correct  For detail...go through the solution

Q: You have $300 to spend on a fence. You want to fence in an area that is a rectangle split in two in…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: Find the absolute minimum and absolute maximum values of f on the given interval. Hint: You will…

A: Given function:-   ft=4cost+2sin2t

Q: Find the distance between the skew lines: x=6+6t, y=4+7t, x = 5-t, y = 8, NOTE: Enter the exact…

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Q: Find the x-value corresponding to the absolute minimum value of f on the given interval. (If an…

A: here we have to find the absolute minimum value of f.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 7xeox dx 6x [7xe 7…

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Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

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Q: a) y' - 2xy = x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 5. Suppose that y(t) = (cost, sin t) for tER. Show that y(t) and (t) are parallel for all t € R.

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Q: 1. The position of an object moving horizontally along a straight line as a function of time is s(t)…

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Q: D Question 5 D The table gives selected values of the continuous function f. 7 8 9 10 f(z) -11 -10…

A: Note: The Mean Value Theorem states that if a function f is continuous on the closed interval [a,b]…

Q: Topic: Differential Equations A tank contains 80 gallons of brine with 5kg of salt. Another brine…

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Q: Determine the intersection if any between the line L₁: [x, y, z] = [3, 2, − 5] + r[0, 1, 4] and the…

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Q: is there no step 3 to this solution? and why does it end like that like what exactly would be the…

A: There is no any step 3. i am going to derive equation again.

Q: Evaluate the following integrals and/or determine whether the integral is convergent or divergent…

A: Note:- Since you asked multiple question, as per policy we can solve only first question for you…

Q: An open-top box is made by cutting squares from the corners of a piece of tin and folding up the…

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Q: dv dt Find given ure, z=t", and y=-2+3t. Write answer in terms of the independent variable. = du dt

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Q: Use differentials to estimate the following. Give all answers correct to at least 3 decimal places.…

A: We have to find asked area.

Q: Use your graphing calculator and say why these two inequality have not solutions.  a)   x2-4x +5 0

A: Consider the given inequalities a) x²-4x+5<0  b) -x²+4x-5>0

Q: dx 3 Assume that x = x(t) and y = y(t). Let y = x³ +3 and=5 when x = 1. dt dy Find when x = 1. dt dy…

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Q: The graph of f(x) is shown (see figure). 7x f(x)= (a) Find the following limits. L= lim f(x) = X→ 00…

A: Given: The given function is: fx=7xx2+9 The given graph is:

Q: Find √ √₂ (4x + y)dA (4x + y)d.A where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} =

A: Double integration

Q: If b and t are real numbers such that 0 < t < b|, which of the following infinite series has sum…

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