nn n=0 4"n! η!

Q: A cone is designed to have a radius of 6 cm and a height of 9 cm, but the radius and height are off…

A: Radius= 6 cmHeight= 9 cmChange in radius is 0.03Change in height is -0.06

Q: 15. An open rectangular box is to be made by cutting equal-sized squares from the corners of an 8"…

A: The dimensions of the box are:Length: L=15-2xWidth: W=8-2xHeight: H=x

Q: Compute the electric charge on the surface which is the portion of the cone z = √√3x² + 3y2 in the…

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Q: n = 1 (-1)"x" n

A: Given that the series we have to find the radius of convergence and interval of convergence

Q: Estimate the average value of the function between x = 0 and x = 7. 3 لیا 2 1 N - 1 2 3 The average…

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Q: Let F(x) = sin(6t²) dt. S Find the MacLaurin polynomial of degree 7 for F(x). S Use this polynomial…

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Q: Find T5 (2): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = Using the…

A: We have to find the Taylor polynomial of cosx of degree 5. Then using the Taylor Remainder Theorem,…

Q: x³ + 3x² = 1 3

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Q: (d) lim Bl x-l lnx (e) lim x-x)

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Q: Suppose that we're making and selling some widget and the profit (in dollars) when making a widgets…

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Q: S 12x+8 3x²+4x+8 dx

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Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

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Q: If sin(-s) = 5/13, and (a) (b) (c) (d) sin s cos(-s) COS S 3πt < s < 2π, compute the following.…

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Q: Given that f (t) = t² - t - 5 represents the rate at which air is escaping from a balloon in liters…

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Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: A graph of the trigonometric function is given.The aim is to find the equation of the graph.

Q: What substitution(s) would make the following integral simpler? I.e., simple enough to integrate by…

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Q: 1 Assume that f'(4) = -5, g'(2), g(2)=4, and y=f(g(x)). What is y' at x = 2? 8 Atx=2, y'= (Simplify…

A: The chain rule of differentiation is given by

Q: 16. You are designing a rectangular steel vat with a square base, an open top, and a volume of 32…

A:

Q: 11. A farmer wants to fence off a rectangular plot of ground with area 3000 ft² and divide the plot…

A: A farmer wants to fence off a rectangular plot of ground with area 3000 ft2 and divide the plot into…

Q: 5 1 - 9x Compute the first few coefficients of this power series: Represent the function -Co C1 C₂…

A: The given function is 5/(1-9x).

Q: The population of the world¹ t years after 2010 is predicted to be P = Round your answers to one…

A: To find the population in 2026 and the average population between 2010 and 2026.

Q: Find the slope of the tangent line to the graph of the polar equation at the point specified by the…

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Q: mate the average arterial blood pressure over one cardiac cyc

A: We have to find the average blood pressure.

Q: Evaluate the integral: Ox= Ox= Ox= (A) Which trig substitution is correct for this integral? 0x= 0x=…

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Q: Give equation

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Q: * Fmd the general solution of :- dy dx = (x²+ 3) + x² 3 2

A: To find the general solution of the following differential equation.

Q: A hemispherical tank with a radius of 8 m is filled from an inflow pipe at a rate of 4 m^3/min ​(see…

A: The hemispherical tank of radius

Q: fum of a cide wing Voled vp TH A dx TRIGONOMBTC SUTION Ja-yX-4 dx-aast de Ja². (asing)" (acest do)…

A: We need to dirve the formula of area of circle

Q: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)…

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Q: Evaluate the limit lim x →0 O -1 1 18 1 9 √81-x-9 X

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Q: Using rectangles whose height is given by the value of the function at the midpoint of the…

A: The given function in the interval .The aim is to find the area under the curve using the midpoint…

Q: please i dont understand that you did after step 3 from 0=sin(2pi c)

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Q: Consider the following integral. ƒ(9e¹) e* dx By making an appropriate substitution, the above…

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 8 cos 0+6…

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Q: Suppose parametric equations for the line segment between (4, 2) and (4, - 2) have the form: [ x(t)…

A: The line segment between the points (4, 2) and (4, -2) has parametric equations,It is also given…

Q: Find the point on the curvey=e* + x where the tangent is parallel to the line y = x.

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Q: Use the identity 2 sin æ cos x = sin(2x) to find the power series expansion of sin² x at x = 0.…

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Q: you alos calculate the following

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Q: Find parametric equations that describe the circular path of the following person. Assume (x,y)…

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Q: Find the arclength of the curve x = 5t 9, y = 12t – 3 with 2 ≤ t ≤ 5. -

A: x=5t-9y=12t-3

Q: The table gives the values of a function from an experiment. Use the table to estimate So f(x)dx…

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. ㅠ x = 5 cos³(0),…

A: Given curve,The surface obtained by rotating the given curve about the x-axis on the interval,

Q: f(0) = 6, f'(0) = -1, f" (0) = -11, f"" (0) = 13

A: The Maclaurin Series for a function f(x) is represented…

Q: The latitude of a point P on the surface of the Earth is specified by means of the angle in the…

A: OP = OE = 3960 mi.*to find : arc length, PE = ?

Q: 56. The length of required to enclose a rectangular field is 3000 meters. What are the dimensions of…

A: Let the length of the rectangular field=x mLet the width of the rectangular field=y mThe figure of…

Q: Solve the given differential equation. 3x²y" +6xy' + y = 0

A: To solve the following differential equation.

Q: Start with the geometric series (1) Σ nx", lx| < 1 n = 1 (a) Find the sum of the series nx-1, |x| <…

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Q: When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium…

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Q: Let f" (x) = 6x - sin x. ƒ' (0) = 1, f(0) = 2. Find f(x) ○ x³ O x³ + sin x + 2 ○ x³ – sin x + 2 ○ x³…

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Q: 5. Calculate the following limits: x-5 a. lim x-5x2–25 b. c. d. lim x--5 x²+3x-10 x+5 t² +t-2 lim…

A: 5)a) limx-5 (x-5)/(x2 -25)b) limx-(-5) (x2 +3x-10)/(x+5)c) limt-1 (t2 +t-2)/(t2 -1)d) limx-(-2)