1. Evaluate: 1 1+x+x\ L₂FF dr

Q: and the average value of f(x)= uestion 25 4(x²+2) x² on the interval [1, 3]. Round your answer to…

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

Q: Question 1: A radioactive element has a half-life of 30 years. If you begin with 7000 grams of the…

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Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: assume that Dr. Kim decides to purchase a car which is selling for $55,000 today. She needs to make…

A: Given query is to find monthly payment.

Q: 2) Find div( xi + 4yj + 2zk)

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Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

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Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

Q: A particle that started at the origin and is moving along the x-axis has a velocity function given…

A: We need to find out the position of the particle after 39 seconds.

Q: How long will it take for the population to reach 80738073 deer, according to this model?

A: Given that, the population of the deer grows as per the given model:     Pt=2993t2     , where t…

Q: locity of 6. Find the average value of f(2x - 1)³dx.

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Q: ble answers No Answers Chosen The range is all real numbers. ous The equation of the asymptote is x=…

A: We will find the required.

Q: Locate the absolute extrema of the function f(x) = cos(on the closed interval [0, 1] absolute max:…

A: Solve the following

Q: Find dy/dx and dy/dx². x = e, y = te-t dy dx² For which values of t is the curve concave upward?…

A: Given query is to find indicated derivative.

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: Work of 1 Joules is done in stretching a spring from its natural length to 11 cm beyond its natural…

A: Given: Work done, W = 1 Joule Strech of the spring, x=11 cm = 0.11m   Now, The spring constant is…

Q: U. Solve the given equation 1) sec x(2 sin x-√2)=0 T Answer: x==+2nk, 4 TT ak 3π x== +2 4

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

Q: Use the following information to determine cos(2x). Answer cos(x) = cos(2x) = 2 √6 and tan(x) is…

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Q: Differentiate the function. f'(x) = f(x) = x7³ − x + 8

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Q: Find the derivative of the function. y' = x cos - x cos-¹(x) y = √1-x² 1- x² -

A: Given that y=1-x2-xcos-1(x)

Q: Twenty-three randomly selected students were asked the number of movies they watched the previous…

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Q: a building so that its foot moves away from the building at the note of 3 feet per second. When the…

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Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

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Q: Determine the x-value of all critical points for the following function. x² x-3 f(x) = x² x-3 The…

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Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

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Q: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

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Q: COS 13п 15 COS Зл 15 + sin 13л 15 sin 3п 15 Answer: cos 10п 15 = cos 2П 3 = -1/2

A: NOTE: Refresh your page if you can't see any equations. . the given expression is

Q: The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the…

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Q: So Lov (x + y) dy dx to polar coordinates. a. Convert the integral b. Evaluate this integral. Hint:…

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Q: 38. Simplify: cos 40° cos 110° - sin 40° sin 110⁰ 39. Simplify: cos 50° cos 20° + sin 50° sin 20⁰

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Q: 18 Find the Equation for the Graph of a Logarithmic Function 10 (-20,-5) Previous 101

A: I have solved step by step in detail...go through the solution

Q: EXAMPLE 5 Evaluate 9x² 8x + 8 x(x² + 4) SOLUTION Since x³ + 4x = x(x² + 4) can't be factored…

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Q: 11- Iraqi's population grows at an annual rate of 3%. The population in 2022 is 40 M. What is the…

A: Given query is to find the population in 2030.

Q: Determine the solution of the following differential equation d) xy' + (1+x)y = ex sin(2x)

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Q: O A. No, since we have only shown that Sk+ 1 satisfies the statement. OB. No, since we must show…

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Q: Find angle A to the nearest degree. 37° 30° 39° 42° 32 37 25 B

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Q: Use the Divergence Theorem to evaluate the surface integral fF.dS where F(x, y, z) = 2₁ 56.

A: Please see the below picture for detailed solution.

Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

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Q: -1 Find f-¹(x) if f(x) Of-¹(x) Of-¹(x) Of-¹(x) f-¹(x) = = = 2x + 1 3 2+x 3x 2x - 1 3 2 - x 2 2 3x +…

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Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

A: given  rate  r(t)=120e-0.02t∫eatdt=eata+c

Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: Differentiate. y' = y = 3 sec(x) - csc(x)

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Q: Find the open interval(s) on which f(x) = -5x² + 50x+8 is increasing or decreasing. O increasing on…

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Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

Q: y = 12 - x², y = x² - 6

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Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

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Q: 9- The sum of the first 10 terms of an arithmetic sequence is 235 and the sum of the second 10 terms…

A: we need to find out the first term and commin difference of the arithmetic sequence.

Q: Find f such that f'(x) = 8x² + 7x-7 and f(0) = 2. f(x) =

A: Given query is to find indicated function m

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: use derivative and critical points for absolute maxima/absolute minima

Q: What is the median of the following list of numbers? [4, 12, 12 6, 10, 3] Number

A: given numbers  4,12,12,6,10,3first step is to find median is to sort our dataset from lowest to…