The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year period. Year 2016 2017 2018 2019 2020 Jobs 655 695 730 750 760 What is the average rate of change in the number of living wage jobs from 2016 to 2018? Jobs/Year What is the average rate of change in the number of living wage jobs from 2018 to 2020? Jobs/Year

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. π/2 -…

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Q: Determine h'(x) if h(x) = (4*)⁹. Provide your answer below: h'(x) =

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Q: The polynomial C(t) = -0.006t4 +0.140t³ -0.53t² +1.79t measures the concentration of a dye in the…

A: C(t)=−0.006t4+0.140t3−0.53t2+1.79t

Q: Given that f₁ f(x) da = 7 and fº₁ƒ(x) dx = -2. dx fő 2f (x) dx. evaluate

A: ∫−15f(x)dx=7 and ∫−10f(x)dx=−2Using the definite integral property∫acf(x)dx=∫abf(x)dx+∫bcf(x)dx

Q: Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is C(x, y) = 24,000+ 64x +…

A: Weekly cost to manufacture x bicycles and y tricycles is

Q: Given what is g'en? g(x)=log²(f³(x)+2). f(1)=2 & f'(n=5 a) 3 log2 B) 12.log10 2) 12 logio

A: The given function is

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Q: Approximate the area of the region bounded by the graph of f(t)= cos (t/2-/8) and the t-axis on…

A: The width of each sub interval is ( 9π/8 - π/8 )/4 = π/4We can calculate the height of each…

Q: If s(-2) = 1 and s'(x) < −3 on [-2,9],

A: s(−2)=1 and s′(x)&lt;−3 on [−2,9], Using the mean value Theoremf′(c)=f(b)−f(a)b−a

Q: Use implicit differentiation to find dy/dx. 11. xy = cot (xy)

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Q: n I 1. Express the given limit as a definite integral. n n :3 1 n4 (a) lim n-x i=1 (b) im - nx N 1+…

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Q: valued Func r(t) = - + 3 + 5tk O -2 -2 y 5 2 2 Find its length over the given interval. √32 [0, 1]…

A: r(t)=-ti+3tj+5tk ,[0,1]

Q: Consider g(v) 7 12 5 Determine the intervals on which g is concave down. - 3 +-+ g is concave up on:…

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Q: 7) Apply the Mean Value Theorem tof on the indicated interval. Find all values f'(c)=- f(b)-f(a) b-a…

A: (7) Mean Value Theoremf′(c)=f(b)−f(a)b−af(x)=3x−52x+1,2≤x≤4

Q: Determine q'(x) when q(x) = 8(4¹) X4 Sorry, that's incorrect. Try again? q'(x) = |

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Q: D ▶Region D is bounded by y=x² and y=x. Draw the region. Set up the integral xdA in two different…

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Q: Use the Ratio Test to determine whether the series converges absolutely or diverges + 9 32 + 27 81…

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Q: Suppose the vector-valued function r(t)= (f(t).g(t),h(t)) is smooth on an interval containing the…

A: r(t)=&lt;15+cost,3+sin20t,2t&gt;t0=pi/2

Q: What is the volume of the solid obtained by rotating the region bounded by y = √√x, y = 2 - x and y…

A: We find the volume of the solid obtained by rotating the region bounded by y = , y = 2 - x and y = 0…

Q: Graph the following function: y = -2 sin 2x - 37) 2 T 2

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Q: Question Consider the graph of f (x) below. Which of the following is the closest approximation of…

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Q: Let R be the region in the first quadrant bounded by the lines y = hyperbolas xy = 1, xy = 2. (a)…

A: Given that let R be the region in the first quadrant bounded by the lines  and  and the hyperbolas

Q: When calculing the inverse Laplace transform of the function F(s)=6/s^5 is obtained as a result: A-…

A: To find the inverse Laplace transform of the following function.

Q: Question dy Find, where y is defined as a function of x implicitly by the equation below. y - 3x²y³…

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Q: 15. Graph the function. y = log5 x 9 8 -7 6 65 A 3 2 -9-8-7-6-5-4-3-2-1 r -2 -3 -5 -6 -7 -81 -9 2 3…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Calculate af ax af af ax af Əy (1, -1) af af af af ax' ay ax (1, -1) ay (1,-1) f(x, y) = 7,000 - 65x…

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Q: e) k(x) = (2x-1) ³x

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Q: Find two positive numbers such that the sum of one and the square of the other is 300 and whose…

A: Given that two positive numbers such that the sum of one and the square of the other is 300 and…

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Q: 5. Use a triple integral to find the volume of the solid in the first octant bounded by the plane 2x…

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Q: 5. The accompanying figure shows a portion of the graph of a twice differentiable function y = f(x).…

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Q: Question Is the function f(x) continuous at x = 1? 6 + 0 -10 -9 -8 -7 -6 -5 -2 -1 10 1 2 7 8 9 10 -1…

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Q: Calculate 7 af Әх af af af af 7 Әх ду Әх af ах af ду (1, -1) (1, -1) f(x, y) = x4y3 - х = = = , and…

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Q: Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 2¹, where t is given in…

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Q: 16) Use Newton's method to approximate the indicated solution of the equation correct to six decimal…

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Q: Express the following statement using absolute value notation: In an experiment, the measurement of…

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Q: 2. Prove the statement lim(10-4x)=- a limit). Show all your work to find and write a formal proof.…

A: Limx-3(10-4x) =-2

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Q: Let F = (2xz+y², 2xy, x²+1), if Vf= F, find f(1, 1, 1) – f(0, 0, 0)

A: Given vector funtion and

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Q: What is the lim f(x) for the following graph? X-0 5 4 V

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/hand ship B is sailing…

Q: 2 lim 9x² (e-3/x²-1) = X→∞ (Simplify your answer.)

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Q: Find the derivative of f(x) = 3 csc¯¹ (x). Select the correct answer below: O O O O 3 75 1-x² 3 |x|√…

A: Consider the function

Q: c) h(x)=√e. '+e

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