-1 Evaluate 1×₁√/2 + + 5 1+ 25 A csch ¹1x + C 1 B (D dx csch=15+C csch-¹5+C 1 -csch¯¹|x|+C csch

Q: 64 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find a function f such that f '(x) = 5x3 and the line 40x + y = 0 is tangent to the graph of f. f(x)…

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Q: equation and the initial condition. 8. f'(x) = 9x² + 1, f(0) = 7

A: Given problem:- Solve  f'(x) = 9x² + 1, f(0) = 7

Q: Use the given vectors u and v to find the magnitudes of vectors u - v and -2u. u =4i+6j+7k, v = -i…

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Q: |ƒ(x, y) = arctan(y/x); ƒx(2,3)

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Q: Find all exact solutions on the interval 0 ≤ 0 < 2T. 4 cos(8) = 2 8 www

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Q: = [₁²2² I = x² dx I = fa da x

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Q: Find all exact solutions on the interval 0 ≤ x < 2π. ( csc²(x) − 5 = −3

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Q: 1 13-17. For the probability density function f(x) = (x + 4), over the given interval [6, 48 10],…

A: probability function is given.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve.…

A: To the find the rough estimate of area of region that lies beneath the given curve and the exact…

Q: Section B Work out the questions carefully. Show your working in the space provided. 1 Find the area…

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Evualate the vector valued function

Q: If "6 fº 181 f(x) dx = 37 and 6 √° g(x g(x) dx = 12, find 6° 1² [3f(x) + 5g(x)] dx.

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Q: Let f(x)=(x-3)-2. Find all values of c in (2, 5) such that f(5) f(2)= f'(c)(5-2). (Enter your…

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Q: а) 2х, -3х2 +5х3 -2Хм = 9 5X2 +X3 +3Х4 = 1 7Х3 - Ху = 3 2Х4 =8

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Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval.…

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Q: Determine whether the following Consistent or not a) 5x +2y = 1 3x +2y = 1 b) X₁ + X₂-2X3 + X4 = 9…

A: Here, to check whether the given system is consistent or not.

Q: Determine whether the series is convergent or divergent. If the series is convergent determine the…

A: Given problem:-

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A: Given that the smaller the curvature in the bend of a road, the faster a car can travel.

Q: QUESTION 10 A company finds that it can sell 120 items at a price of $490 each, and sell 440 items…

A: Given: 120 items at a price of $490 each,  440 items at a price of $150 each.

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

A: Given

Q: Solve the equation. 3) 49x874x

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Q: Find f. f(x) = f''(x) - 10 + 6x + 24x², f(0) = 5, f(1) = 16

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Q: A beauty supply store expects to sell 120 flat irons during the next year. It costs $4.80 to store…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, S(0) =…

A: In this question we have to find the value of s(t).

Q: Express the limit as a definite integral on the given interval. n x;* lim -ΔΧ, [1, 7] n→∞ dx i=1…

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Q: Evaluate __imit= Hint: Use a power series expansion. lim z 0 e-32³ 1+3x³ 71⁹ 9 2 o..

A: Given problem:-

Q: 63. Maximum Area A rancher has 400 feet of fencing with which to enclose two adjacent rectangular…

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Q: QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per…

A: After 38 years interest.

Q: Find the limit. lim (t i 6 j + t² k) t-5 lim (t i − 6 j + t² k) = i t-5 i+ i j+ i k

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Q: The radius of a circle is increasing at a rate of 5 ft/min. At what rate is its area changing when…

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Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d6 = dx6 x

A: We have to find the derivative

Q: Question The total monthly cost of a family plan depends on the number of phones, p, and the GB of…

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Q: Suppose f(x) = 6 - x². (a) Find the slope of the tangent line to the graph y = f(x) when x = 2.…

A: a) f(x)=6-x2…

Q: ***************** …………………………….. ************** The relationship between the number of decibels and…

A: Given the query is to find the how much louder will be the volume.

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 49-50 Find az/ax and əz/ay. 49. (a) z = f(x) + g(y) 50. (a) z = f(x) g(y) (c) z = f(x/y) (b) z = f(x…

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Q: QUESTION 11 Solve the following system of equations and fill in the values below: x + 5y + 2z = 8 2x…

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Q: Finding the Volume of a Solid In Exercises 23-25, use the disk method to find the volume of the…

A: We have to find the volume by disk method.

Q: Evaluate fr.co x cos(x³) dx as an infinite series.

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Q: SHOW ALL WORK Change the polar coordinates, (r, 8) to rectangular coordinates, (x, y). (Leave…

A: Given the query is to find the rectangular coordinates.

Q: s = t³ - 8t² + 2t, t≥ 0, where t is measured in seconds and s in feet. (a) Find the average velocity…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: The position function of a particle is given by s = 2t³ - 9t² - 100t, t> 0. where s is measured in…

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Q: Find f. f(x) = f ''(x) = cos(x), f(0) = 4, f'(0) = 5, f "(0) = 7

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. +9 So. || 4 + 12² || ll ti 247.18 dt =…

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Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: let y = ln(e23) we know that mn = m1n∴y = ln(e2)13