The numerical value of the lim 818 n+3 nln (2) n+1 is equal to

Q: A circular swimming pool full of water has a diameter of 24 ft and the sides are 5 ft high. Set-up…

A: A circular swimming pool full of water has a diameter of 24 ft and the sides are 5ft high.

Q: = log3x + log(5x²-3x) - log3x², express x in terms of y.

A: Topic:- algebra

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x--3 x-1 (...) a. Find lim f(x)…

A: Limit of a function at a point will exist only if right hand limit is equal to left hand limit of…

Q: Let ƒ(x) = (cos( − 4x – 5)) (sin(6x − 2)). Then ƒ'(x) =

A: f(x)=(cos(-4x-5))(sin(6x-2))

Q: A street light is at the top of a 13 ft tall pole. A woman 5 ft tall walks toward the pole with a…

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Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: f(x) = x³, Y Find the volume of the solid obtained by rotating the region A about the x-axis. A B

A: The region A is bounded by y=1 and y=x3 from x=0 to x=1

Q: Which of the following equations can be derived from the partial fraction decomposition of a…

A: We can solve this problem as follows:

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

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Q: Assume acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a platform…

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Q: .729 dx S == Sºf(v)dy, find f(y). 64 √√x-3√x Using Rationalizing Substitution 6y² +6y+6+y-1…

A: Given:-∫64729dxx-x3dxsubstitute  x=y6 differentiate both sidesdx=6y5dychange the limitx=64,…

Q: Given cos(8): = B 5 and the terminal side of 8 lies on the fourth quadrant. What is the value of sin…

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Q: QUESTION 3 Find the particular solution for the given separable differential equation. dy 2x+y,…

A: We have to solve differential equation

Q: y = 10t² 10 S3 5+²

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Q: Which of the following equations describes the partial fraction decomposition of a rational function…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: Find average Value of f(x)=X³ on [1,2]. Then find Point CE [1,2] meun € [1,2] quaranteed by the…

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Q: A closed wood storage having a volume of 27 in.3 is to be in the form of a right-circular cylinder.…

A: Volume of cylinder is πr^2h

Q: 5. Given the Standard Equation the DE, Identify the roots * d²y d³ y dx³ dx² + dx - 2- m: 1+ √2,0…

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Q: The demand for a certain type of cosmetic is given by p= 160-x, where p is the price in dollars when…

A: (a) Given that, the price demand function is p=160-x. Obtain the revenue function.…

Q: Find y': e siny + el cost esinz-esiny O a. e cosy te cosT O b. eysinz-e sinzy ос e sinzte siny…

A: Given problem:- ex sin(y) +ey cos(x) =10  find:- y'

Q: 2. A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help…

A: A contractor wanted to buy equipment; current price of it is ($50,000).  So, he requested the help…

Q: 0# 7' 7P VE 1-₂72 +67

A: topic - indefinite integral

Q: Find all solutions to the given equation. In the choices, k runs through all integers. √3csc(x)+2=0…

A: We can find the answer as below.

Q: lim (et + t)¹/t t→0+

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 7 s.u. S.U. S.U. 2 9 s.u.

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Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A: We have to slove the derivative

Q: Lim 1+7 2+72-27-67 + 8 - 2t4 + 1

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Q: √2. y=x² - 4x and y=-x² + 2x.

A:

Q: T T Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ bounded by…

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Q: f(x) = x³, y = 1, x = 1

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Q: A train is starting at noon travels north at 40mph. Another train starting from the same point at 2…

A: Let's find speed of trains at 3 pm.

Q: Use n = 4 to approximate the value of the integral by the following methods: (a) the trapezoidal…

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: If A = {x+|x-1| : xER}, then which of ONE the following statements is TRUE? A. Set A has a supremum…

A: The set A=x+x-1: x∈ℝ

Q: 5. Evaluate the following integral using spherical coordinates: 2-x²-y² ста z dz dy dx. x² + y²

A:

Q: 2 If the function of is odd fur - f (x)) then, the Fourier transf called Fourier sine transform Is…

A: answer is in next step

Q: Evaluate the integral : S - (9x²+7x) (x−1)(x+1)² dx ← +C

A:

Q: A) A retailer has been selling 1,000 computers a week at $750 each. The marketing department…

A: Please see the below picture for detailed solution.

Q: lim [(x²-In(x + 1)) cot x] x-0-

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Q: √x+1 - dx = y² + 4y+ 4in(y-1) + C, express the final answer in terms of x- √x-1 Using Rationalizing…

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Q: Iff and g are continuous on [a,b)], then [*[f(x)\g(x)]dx = [[*f(x)dx)(√*g(x)dx) a A True B) False

A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

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Q: Evaluate the given limit of the following: z¹-z²-2z+2 lim Z-1 28-2z¹+1

A: Let's evaluate given limit.

Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

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Q: .729 dx "J64 √X-3√x" √ or(v)dy, and f(x). find = Using Rationalizing Substitution © 6y+6+ 6 y-1 6y²…

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Q: In Exercises 4-7, consider harmonic oscillators with mass m, spring constant k, and damping…

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Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…

Q: e circular disk method is to be used to compute for the volume of the solid gene revolving the…

A: Top:- application of integration

Q: Find the force on one end of a parabolic trough full of water if the depth is 2 feet and the width…

A: