Question Find the average rate of change of the function in the graph shown below between x = -1 and x = 1. Provide your answer below: -3 -2 -1 6 5 4 3+ 2 10 -1+ 2 -3- 4- 1 2 3 4

Q: Find the radius of convergence and the interval of convergence of the series. n=1 8n-1

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Q: Evaluate ff xdxdy where R is the region bounded by x=2, y = 0 and y = x

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Q: Use the Ratio Test to determine the convergence of the following series. 8 Σ(-1)n+1 n=1 5 nn n!

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Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-1). f(x)= x +5 g(x) = 2x² +…

A: The given function is .The aim is to find the .

Q: TU Find the speed for c(t) = (3 sin(5t), 8 cos(5t)) at time t = FR

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Q: Find the radius R of convergence for the series R = n=1 n! xn nº

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Q: Find all exact solutions on the interval 0 <0 < 360°. If there is more than one answer, enter them…

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Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: Find the indefinite integral. J (100e5x) dx = +C

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A: The objective of this question is to find the relative extrema of the function f(x) = sqrt(25 - x^2)…

Q: Suppose you are given a triangle with Then a = , and b= 9. Enter your answers with at least 3 digits…

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Q: Is the series ∑(1/(n + (1/n))), from n = 1 to infinity, comparable to the series ∑(1/(2n)) using…

A: Solution is following in explanation step.

Q: I

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Q: If the velocity of a car is given by v(t) = 90 for all time t ≥ 0, then the position of the car for…

A: The velocity of a car is  for all .The aim is to find the position of the car.

Q: 2. True or False: If the parametric curve x = a(t), y = b(t) satisfies d'(5) = 0 and b' (5) = 1 then…

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Q: 2. For f(x)=√14-2x (a). find the domain. Write your answer in interval notation. (b). Graph…

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Q: Tell whether the below piecewise function is  Undefined Continuous but not Differentiable…

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Q: 2. For the function g whose graph is shown, state the following. (b) lim g(x)= x-0 (a) lim g(x)=…

A: The graph of the function is given.The aim is to find the e)The equation of the vertical asymptotes.

Q: Find an antiderivative of the function h(y) = 3y² — y6. An antiderivative is

A: .

Q: Consider the following integral. √1 + 7x dx Find a substitution to rewrite the integrand as du. u¹/3…

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Q: Find a power series representation for the function. ( ) = n( 11 + y )

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Q: A cup of coffee has cooled from 98°C to 50°C after 10 minutes in a room at 25°C. How long will it…

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Q: If f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) Find the slope of the tangent…

A: Given that the expression f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) we have to…

Q: 37. se sec² (10x + 7) dx

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

Q: The linear density of a rod 8m long is 12/(sqrt X+1)kg/m, where X is measured in meters from one end…

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Q: Starting with an initial value of P(0) = 50, the population of a prairie dog community grows at a…

A: The growth rate of population of prairie dog community is P(0)=50

Q: Evaluate the definite integral. 5 J 1+162 -dx

A: To evaluate the following integral.Note: Since you have posted multiple questions, we will provide…

Q: Consider the triangle below. Click on the picture to see it more clearly. If c = 4, the angle C =…

A: Given,

Q: tinues to grow for a while, but then stops growing and begins to decline. The +124t-12312. Find the…

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Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

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Q: 3 · [²³ F(x) Given 6 ³ fº f(x) f(x) dx = 9 and Exercise (a) 6 [° F(x) f(x) dx = -8, evaluate the…

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Q: Consider the problem min x2 + 2x2 such that r₁ + 2x₂ = 3 #1.22 The bordered Hessian for this problem…

A: The problem is given as,such that

Q: At time t, the position of a body moving along the s-axis is s=13-1512+72t m. Find the body's…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The objective of this question is to find the critical numbers of the given function f(x) = 12x -…

Q: Find the indefinite integral. x¹ + 24 dx = +C

A: Let,

Q: Question 1 If you know that Q(x) is a quadratic function and that Q(8) = 7, Q(7) = 2 and Q(1) = 6…

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Q: Let sin A = -1/sqrt10 with A in QIII and tanB = 3/4 with B in QI. Answer exactly. Find tan (A+B) and…

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Q: Suppose we have a triangle with A 40°, B= 60° and c = 4. Then a =

A: Sum of interior angles of a triangle is 180 degrees

Q: (– ²/6) has exactly one point of inflection with a positive x-coordinate. What is the x-coordinate…

A: The given function is .The aim is to find the point of inflection.Definition:If  is an inflection…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 − x² −…

A: y=4−x2−ln⁡(12x+1), point (0,4)

Q: If g(s) = * · 86 0 g'(s) = √5 + x7 dx, compute g'(s).

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Q: The function f(x)=x^3 - 3x^2 - 9x D. Where is the function f(x) concave up or down? E. What are…

A: The given function is

Q: Which of the following are solutions to the following integral. X 3x² - 12x □ Check ALL that apply…

A: The given integral is x/(3x2-12x).

Q: Consider the function f that is continuous on the interval [-3, 3] and for which the following is…

A: Given that f is a continuous function on the interval  and To find:-(f is even) (f is odd)

Q: Air freshener A has a mass of 42 grams when opened and its mass decreases by 4.2 grams each day. Air…

A: The mass of the Freshener a=42 gmIf opened in the air decreases to  4.2% per dayThis means the decay…

Q: Find the indefinite integral. (8x + 2) dx = = +C

A: We know that,.Let assume,

Q: 6. 14 ) Consider both geometric series below. 3 SA = 00 Σ n=1 5n and SB = M8 n=0 3 5n Both SA and SB…

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Q: Find all exact solutions on the interval [0, 27). If there is more than one answer, enter them as a…

A: The given equation is; 9cos(2t)=9cos2(t) -2, [0,2pi)

Q: Evaluate [xy dx + (x + y)dy along the curve y = x² from ( − 1,1) to (2,4). C S xy dx + (x + y)dy = C…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: A child flies a kite at a height of 40 feet, the wind carrying the kite horizontally away from the…

A: Height of the kite from the ground= 40 feetThe horizontal speed of the kite= 25