Find the third term of: E33-1)n+1 (z+3)2n (2п)! Σ n=D

Q: Evaluate the upper and lower sums for f(x) = 1 + x2, −1 ≤ x ≤ 1, with n = 3 and 4.

A: For n=3

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = t3,  ...

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Q: Find the average value of f(r) =x-4 on the interval [1, 5]. Give the exact answer in the simplest fo...

A: To Find : Average value of the function f(x)=x-4 on the interval [1,5]   Note : The average value of...

Q: cylindrical tank standing upright (with one circular base on the ground) has a radius of 20 cm. How ...

A: Given query is to find the rate of change of water Level.

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x - In 7x, ...

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Q: Evaluate the integral. (Re du |u3- u?

A: Solution is written in below steps.

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a ro...

A: Here we have to find the total numbers of ways so that they can arrange themselves in a row of coupl...

Q: Find all the real-number roots of the equation. Give an exact expression for the root and also a cal...

A: solution:-ex-e-x-1=0ex-1ex-1=0ex2-ex-1=0using quadratic formulaax2+bx+c=0x=-b±b2-4ac2aex=--1±-12-41-...

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: ∫xn dx = xn+1n+1+C

Q: Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x = ...

A: We know: lim∆x→0∆y∆x = dydx                                                                         ...

Q: dx Integrate: J. 3n B. A. EIN

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Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: Solution ) f(x) = lnx/x f'(x)=  [x (d/dx ( lnx )) - lnx (d/dx (x) )]/ x2 By differentiation divisibi...

Q: Given f(x,y) = 3x sin(3xy). Find fxy(3,2). Give you answer correct to %3D two decimal places. Answer...

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Q: Using the disk method, find the volume of the solid generated by revolving the region bounded by the...

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r ...

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Q: The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the...

A: Find your answer below 

Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: Let f be a continuous function such that f (x) dx = -7 and 1 f(x) da = -2. What is the value of 3 (x...

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

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A: Answer: The solution is as given below:

Q: Calculate the amount of concrete required to cover the curved part of a pipe with a diameter of 50 c...

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Q: Figure 2: The three faces are labeled - including the third 'outer face'. If there are no areas encl...

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Q: the Standard iom TocI. he standal the equation (Type an equation. Simplify your answer.) (-1,1) -4

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Q: Evaluate ſ xe3x dx A. (1/9)(3e³x – e³) + C B. (1/9)(3e³x + e3x) +C c. (1/9)(3xe3x – e3x) + C D. (1/9...

A: Integration by parts:∫u(x)v(x)dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: Find the area of the region enclosed by the curves x = 7- y and y = Vx+5, y = 0. Give the exact answ...

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Q: x +3, (x + 3)² 1+ + 22 32

A: This is a problem of series and sum calculation. First we will convert the given series into sigma f...

Q: (a) Find the general solution of the differential equation dy 2xy dx x² +1 3 (b) Find the particular...

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Q: Jse the guideline in §4.4 to sketch the curve: f(x) = 2x3 + 3x2 – 120x. 4). Domain, Symmetry, Asympt...

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Q: sec2zydy Evaluate the integral: Jtzy(3+tan-zy) A. In(3+ tan²2y) +C In(3+ tan?2y) +C In(3+ tan 2y) +C...

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Q: How should we choose u and du? Hint: we can write the integral as /1- sin-'z dz 1 sin-x in which cas...

A:

Q: Find

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Q: dx Evaluate: J sin x A. 3tan'x ++C C. tan'x +C tanx tan x + C tan 2x D. в. 3tan'x tanx 2tan2x

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Q: Determine the function of the following graph. 2 -6n/5-4n/5-2/5 25 4n/5 6n/5 8n/5 2n 12n/514n/516n/5...

A: Here we have to determine the function of the given graph.

Q: Find all solutions to the equation on the interval 0, 27) : cos (a V3 - 2 * 47 3' 3 47 57 3 3 * 27 4...

A: Given query is to find the solution of the equation.

Q: Evaluate A. 1 B. 3 C. 2 D. 4

A: The objective is to evaluate the integral.

Q: In the following figure, identify the terminal side of an angle in standard position with given meas...

A: Angle measured in anti-clockwise direction from positive x-axis is taken as positive and negative in...

Q: You forgot to answer: Use the trigonometric identity for cos0/sin0. 1/sin0 - sin0 = ____?

A: Use the trigonometric identity for cos0/sin0. 1/sin0 - sin0 = ____?

Q: Find the critical number and relative extreme if they exist.

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Q: 37, b = 55 , c = 43, measured in ya %3D %3D

A: a=37b=55c=43 Perimeter , s =a+b+c2  s=37+55+432 =1352s= 67.5

Q: 39. Using Properties of Definite Integrals Given L fe) dx = 10 and fe) dx = 3 evaluate (a) dx. (b) d...

A: Given query is to find the value of indicated integrals.

Q: Figure 2: The three faces are labeled - including the third 'outer face'. If there are no areas encl...

A: Let us make two claims and then prove it with reasoning: Claims:

Q: (1-cos 6x)dx Perform the integration:S 1+cos 6x tanx - x +C c. tan3x – x+C A. -tanx – x+C D. tan3x –...

A: We have to choose correct option

Q: dx Evaluate J x+5 A. Arcsin ( x +2) + C B. Arcsin (x +1) +C C. Arctan (x + 1) + C D. Arctan ( x + 2 ...

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Q: Evaluate the iterated integral by converting to polar coordinates. 81 sin(x? + y?) dy dx

A: First I have changed the integral into polar form and then evaluate it.Final solution is in the box.

Q: In how many ways can you place 9 different books on a shelf if there is space enough for only 5 book...

A: Given, 9 different books on a shelf and there is space only for 5 books. 

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1, -4...

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Q: 120 150 30 360 11 240 300

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Q: 4.- The population of zebra in an area varies around an equilibrium level X.. The population of lion...

A: We will answer to the question 4a only as it is mentioned and demanded. 

Q: 23) Find the SLOPE m = at the point (2, 0). [Hint: sin 0=0 and cos 0 =1] A) 2 of a tangent line to t...

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Q: 2. Suppose g(2) = 8 and g(5) = 512. (a) Write an equation for g(x) assuming it is linear. (b) Write ...

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Q: 1 - cos 2x if y = prove 1 + cos x y' = 2tanx.sec²x

A: