21. Jo 0 dx (x + 1)(x² + 1)

Q: the amplitude is the only incorrect answer

A: Solution :- By compare standard cosine function y= Acos(Bx-C)+D

Q: Evaluate LL²³ S²x² y² وژ sin z6 dx dy dz

A: To evaluate: ∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz Let, I =∫01 ∫0z2 ∫03 y2sin⁡z6dxdydz First integrate with…

Q: Using a particular trigonometric substitution 2 1 + x dx √3 +1-V 4 26 π - the above 1+ 13₁ 2 √1-x²…

A: To solve the given integral.

Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…

A: Since you have asked multiple questions,we will solve the first question for you . If you want any…

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

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Q: Evaluate LS ²² s 0 sin z6 dx dy dz

A: In this question we have to solve Triple Integration.

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Q: Solve this logarithmic equation for x: log(4x +27) = log(x-2) + log(x) Reminder: To indicate 3x2,…

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Q: 3) x= √y + 1, x= ²2 +1 Axis: x = 1

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Q: 6. Find the area bounded by the curve y = log x, the x-axis, and the line x = 2.

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Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

A: Given:-radius of the pile  is increasing at a rate of 4 ft/daydrdt=4 ft/dayheight of the pile is…

Q: 1 S √4x²-9 Ocosh-¹+C -1 -1 Osin ¹+C Osinh¹+C O None of the choices Ocos ¹+C -1 dx

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Q: Find the volume of the region bounded above by the plane f(x,y) = 6x +2y + 25 and below by the…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim: x3+4x+3…

A: topic- limits

Q: Q1: Find with sketch the Fourier coefficients and Fourier series of the function f(x) defined by…

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Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

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Q: Limits involving infinity 2 1. Find the vertical asymptote of the graph of f(x) Describe the…

A: According to company rule we can answer only first question and rest can be reposted.

Q: S dx . Consider ½/₂ Using rationalizing substitution, what will be z and its corresponding integral?…

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Q: Using Ratio Test the following series +∞ (n!)² Σ 3n n=1

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Q: II. Solve the following problems. Enclose final answer. 8.A kite at an altitude of 200 ft. moves…

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Q: Find the critical points and determine if the function is increasing or decreasing on the given…

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Q: Water is leaking out of an inverted conical tank at a rate of 8100 cubic centimeters per min at the…

A: I am attaching image so that you understand each and every step.

Q: 5 2 To-4x 1-1/1/2 5-2x (67²) dz dy dx

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)=3 ex cos (yz), Po(0,0,0),…

A: Solution: f(x,y,z) =3exCos(yz) P0=(0,0,0)

Q: Consider the series an +∞ n=1 and Et bn where cos(+) an = and bn = n3 n3 Since an 2 b₁ and 1 b₁…

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Q: 8 1 X = Σ" with convergence in (-1, 1), find the power series for 1-x n=0 1 - 8x³ 8 n=0 Identify its…

A: Let's find power series and it's interval of converges.

Q: 36. If cos(30+y)-- A) B) which would be sin(30-y)? C) pr D)

A: Topic:- trigonometry Note:- as per our guideline if more than one question uploaded than only first…

Q: Lim X→2 2x³+2x²+2x+6 x³+4x+3

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Q: 4) Determine the value of the 4) -2 6)-1 c) o d) 1 I'm 10,0 хсу e) DNE xy 2x² √x² + y²

A: If the function approach the same value k along any path into (0,0) then the limit is k. If two…

Q: 4. A hockey team plays in an arena with a seating capacity of 15,000 spectators. With the ticket.…

A: Let's find set the ticket prices for maximum revenue.

Q: Write the given statement into the integral format. Find the total distance if the velocity v of an…

A: The velocity of an object v=t2-3t+2 m/sec. over the time period 0≤t≤2

Q: Find the determinant of the matrix, show all of your work -1 3 5 0 0 1 -2 000000 4 0

A: We need to find the determinant of the following matrix. So,…

Q: any decimals to the hundredth place. f(x) = -log(x + 50) + 2 x- intercept: (50,0) y-intercept:…

A: Explanation of the answer is as follows

Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: answer is in next step.

Q: what happened to the 1(1-lambda) part in the first line

A: Given

Q: Evaluate z² 3 y² sin z6 dx dy dz

A: Given: ∫01∫0z2∫03y2sinz6dxdydz

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ — sin 2x + 1,…

A: The answer is given below using the formula:  W = ∫abF(x) dx where W is work done and F(x) is force…

Q: LAW OF GROWTH AND DECAY A bacteria culture increased 800% in 1 year. How long (in months) will it…

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Q: 10 d sinhx = coshx Q3: A. By power series, prove that: dx

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Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: The vertical face of a dam has a height of 50 m and width of 600m. What is the total fluid force…

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Q: Given the following matrix below, find matrix C such that A + 2B = C 2 -31 [3 -1 21 A= 5 0 2 & B= 4…

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Q: Find the domain of the vector function. (Enter your answer using interval notation.) r(t) =(√16-t2,…

A: Explained below

Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: Given query is to find where f is increasing and decreasing.

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the…

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Q: Compute the indicated sin α = 15 17 cos B = cos = (a) (b) - 4 5 quantity using the following data.…

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Q: Evaluate the following limits: 1-cos¹(x) (i) lim zsin(2x) (ii) lim In (√) +1 2²-1 (iii) lim sin(x) -…

A: Given :limx→01-cos4(x)sin(2x)lim x→1 lnxx2-1lim x→π4 sinx-22cosx-22lim x→01+tan(2x)1x

Q: Evaluate the integral b. 0 (z sin x + z cos y)dzdydx

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Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

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