Use either integration by substitution x² +1 S x³+3x+5 dr given that A-5 and B=7 Give your answer to three decimal

Q: Evaluate the limit 1-04 me 1 Amar lim 3 +3) x+1 x+3 Una

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Q: se the properties of logarithms to expand the expression as a sum, difference, ositive.) logg y5₂7…

A: topic-: algebra

Q: Finance. A person wishes to have $27,200 cash for a new car 7 years from now. How much should be…

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Q: lim__k(x) naudonaUr naUnaUna Ur b) c) lim h(x) 2111+ lim, h(x) 2111

A: This is a problem related to limit of the function. Please follow the procedure given below. As per…

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: Volume of the sphere , V=43πr3

Q: Find lim lim h-0 h-0 f(6+h)-f(6) h f(6+h)-f(6) h if f(x)=x² +7. (Simplify your answer.)

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Q: Evaluate f √x² - 16 8 -dx

A: use the substitution method for solving the integral.

Q: Question 7 of 10 ImaUna Evaluate 2√5x-2-√2x+4 lim

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Q: Find the limit (if it exists) of the sequence (x_n) where x_n = sqrt(3n+2)-sqrt(n).

A: Here, the given sequence is: {xn} where xn=3n+2-n

Q: Complete detailed solution. What is the equation of the tangent line at (0,0) of f(x)=2x²-3x

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Q: True or False: If √ X (x − 3)(x + 4) -dx = 3 -In(|x − 3]) + B ln(|x + 4]) + ( In(1x

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

Q: Using sigma notation, write the expression as an infinite series. Σ n = 1

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Q: (iv) Find the average value of f over the given rectangle. f(x, y) = e³√√x+e", R = [0, 4] × [0, 1].…

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: 7/5 Find f'(x) if f(x)=9x5-5x² + 10000. O A. f'(x) = 63x6/5 - 10x 6/5 B. f'(x) = 63³x6 O c. f'(x) =…

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Q: Find the 4th degree Taylor Series Polynomial for the function f(x) = ex centered at c=3.

A: The function f(x)=ex centered at c=3

Q: na Tic-Tac-Toe game, which player is assured of a win? Second Player There is no way of knowing.…

A: in a tic-tac-toe game , either first player can win game or second player can win game. Win will be…

Q: 2. Evaluate J dx (cos³x sin³x)

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Q: 1. Find the area bounded by y = 4x-x, x+2 = 0 and y = 4 using vertical and horizontal strip

A: Solution is given below:

Q: Complete detailed solution. What is the derivative of 6 f(x)=(√2-1)(3√x+1)

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Q: The partial fraction decomposition of the rational function 3 2x + 5x²

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

Q: Using double integration ,calculate the volume of the solid bounded by the surfaces given by x2 + y2…

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Concept: Using Left Riemann Sums and Non-Uniform Partitions, a Process for Approximating Definable…

Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use C for the…

A: Given ∫4(x+a)(x+b)dxTo evaluate the integral:

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. M8 Σ nl…

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Q: Find the area of the region shared by the cardioids r = 2(1 + cos 0) and r = 2(1 - cos 0). The area…

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Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then…

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Q: Determine whether the statement below is true or false. If the statement is false, make the…

A: Given statement, logb(x3+y3) = 3logbx + 3 logb y

Q: Using sigma notation, write the expression as an infinite series. s(²2) + s(3) + cos(7) + Σ( n = 1…

A: Explained below

Q: Equations with the Dependent Variable Missing For a second-order differential equation of the form…

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Q: 2 ver portion cut from the sphere x² + y² + z² = 4 by the cone z = 0 and v= and use spherical…

A: We are asked to find the surface area of the portion.

Q: Question 2 What is the value of lim x-0 O-6 o too 00 x² x +9-3 ?

A: We need to find here limit of our function. We can find value of limit by first rationalizing the…

Q: The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A: If x is between 0 and 10 then the cost is $40.    That means F(x)= 40 if 0≤x≤10     If x is more…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: Find and simplify each of the following for f(x) = 6x² - 9x + 9. (A) f(x + h) (B) f(x+h)-f(x) (C)…

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: Find B in the partial fraction decomposition: 0-170 6 O 16 O 0 - 11 O - 5 6 none x²+2x+7 x3-10x2+21x…

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Q: ((7) 2c-4 lim.

A: Given: limn→∞1+1nn As we know from the limit rule: If the limit limx→afxgx and its result of the…

Q: Solve for (a)(ii)

A: Solution:∫π2πsin42x1-sin2x32dx∫π2π24sin4xcos4xcos2x32dx∫π2π24sin4xcos4xcosx3dx∫π2π24sin4xcos4x-cosx3…

Q: Question 3 (a) (b) Find the area of the region bounded by the curves y = x²(x ≥ 0), y = x² (x ≥ 0)…

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Q: Write the following using sigma notation: The sum of the terms ()* for k = 2, 3, ... 10. Provide…

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Q: 1 √1/₂ y+4 y² + y dy felt +2e²t

A: The given integral is a (y+4)/(y2+y).

Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…

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Q: Find dx dx 0.4 0.4 -3.3x4 + 5x -3.3x-4+5x

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Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=√x. The…

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Q: Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex (C)…

A: given function is a parabola for reference

Q: olve the given differential equation. All solutions should be found. dy x - 2y dx X

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Q: 3 f(x) = x³ on on [0, 2]

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