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Q: A population of animals oscillates between a low of 1100 on January 1 (t = 0 ) and a high of 2000 on...

A: Given, A population of animals oscillates between a low of 1100 on january 1(t=0)and a high of 2000 ...

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a No...

A: The amount of the light will be maximum when the area of the window is maximum. Let 2x be the width ...

Q: 1) Find the width W of the river shown below. 68 250 ft

A: Answer and explanation is given below

Q: The question number 2

A: The graph of f is shown in the figure. We have to evaluate the integral ∫05f(x)dx by interpreting it...

Q: Sketch the graph of the function F(x) = (x-3)(2x^2 + 8x + 6)/(x - 3)(x^2 - 2x)

A: Given :         fx=x-32x2+8x+6(x-3)x2-2x

Q: Find the area of the figure using the limit process for: y = x², y=x , x=0, x= 2.

A: Given, y=x2, y=x, x=0, x=2

Q: For g(x) = x² - 5x – 3, evaluate and simplify the following expressions. (a) g(x) – g(4) = %3D (b) g...

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Q: In the following diagram, S represents the position of a power relay station located on a straight c...

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Q: If g(x) = √100 - x^2 , where - 10 ≤ x ≤ 0, find A) g^-1 (x) B) the domain and range of g^-1

A: g(x)=100-x2y=100-x2x=100-y2x2=100-y2y2=100-x2y=-100-x2 [here 0≤x≤10]g-1(x)=-100-x2 , 0≤x≤10

Q: Suppose that g (x) is a function that is defined and differentiable for all real numbers x and that ...

A: Given information: The value of g(0)=3, g'(0)=-34, g(5)=4 and g'(5)=4and g(x) is concave up for x&lt...

Q: Given the exact value: A) sin 23pi/4 B) sec 14pi/3 C) tan(-5pi/6) D) cos(-25pi/4)

A: a). sin23π4 = sin6π-π4                         = sin -π4                         = -sin π4 = -12   b...

Q: A car is purchased at $36,000 and its value depreciates at a constant rate of 15.5 % each year. Find...

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Q: differentiate with respect to x and simpify if possible must show all steps

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Q: Determine the solution of the equation using coefficient s linear in two variables metho: (x − 3y + ...

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Q: Use l’Hopital’s Rule to evaluate each of the following limits

A: Given, Part a: limx→0+xlnx We know that, ab=a1b, b≠0 ln(x)x=lnx1x⇒limx→0+lnx1x

Q: Use the second derivative to discuss concavity. The second derivative is y’’ ={2x(x2+3)}/ (x2-1)3

A: given,  y''=2xx2+3x2-13 we have to discuss the concavity using second derivative.  

Q: refer to image. find solution(s) that lie in  [0,2pi)

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Q: 1-cos 2x

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Q: Give the equation for the function whose graph appears above. Use f(x) as the output.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the derivative of the function. show all work y=(x-10)(x^2+2x) all over x^3

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Q: A5) Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two d...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Suppose an elastic rubber band is used to make a square, and is being stretched (while keeping the s...

A: An elastic rubber band is being stretched (while keeping the square shape) at the rate of 2 inches p...

Q: find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all ste...

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Q: 1 Integrate: dx I V100–49x²

A: Given

Q: ) Eind the degree leading coefficients andthemaximumnumber of real zeros of the polynomial. flx) = -...

A: Given fx=-4x7+2x5+3x8+4

Q: (a) Define a substitution variable u and write / x(x +1)*dx in terms of u. Do not solve the integral...

A: detailed solution is given below

Q: Find g'() if g(x) = f(sec x). 3

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Q: Give the radius r, the measure of 0 in both degrees and radians, the arc length s, and the coordinat...

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Q: Find the area limited by the line x + y = 10, the axis OX and the ordinates of x = 2 and x = 8.

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Since, we have to find the volume V of the solid obtained by rotating the region bounded by the give...

Q: 9.In △ABC, a = 15, B = 62◦, and c = 7. Calculate ŁC to the nearest tenths.

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

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Q: The marginal cost of producing the xth box of light bulbs is 5 + x2 /1,000 dollars. Determine how mu...

A: We are given that, marginal cost of producing the xth box of light bulbs is 5+x21000 dollars.

Q: Identify the graph of a continuous function f on [0,8] satisfying the given properties. ť' is undefi...

A: Given information: The function has a local minimum at x=4, local maximum at x=3, absolute maximum a...

Q: Differentiate 3cotx+5cscx

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Q: Find the exact values of r and x given A = 13°, B = 77° , and y = 7. B y Do not enter the degree sym...

A: Given,  

Q: Find the Taylor polynomial T,(x) for the function f centered at the number a. f(x) = 7 tan-(x), a = ...

A: Given:

Q: O diverges

A: Given that : The series is  ∑k = 1∞ 6k  .

Q: Find dy/dt. show all work y=cos(square root of 8t+12)

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Q: The common ratio in geometric sequence Is 3/2, and the fifth term is 1. Find the first three terms.

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Q: Investing: Lesser-Known Stocks   The following question is based on the following information about ...

A: Given,   Price($) Yield(%) WSR 16 7 HCC 56 2 SNDK 80 2  

Q: d²y Use the graph of the equation y = f' (x) in the figure below to find the signs of dx and at the ...

A: The first derivative uses the slope of tangent at that point. The second derivative tells us about t...

Q: If sin u = 3/ 5 and sin v = 4/5 and that u and v  are  between  0 and π/2,               evaluate: ...

A: Given: sinu = 35 ,  sinv = 45  u and v are between  0 and  π2  To evaluate: sin(u-v)

Q: Solve the differential equation dy + 5y = sec? (e5") dx

A: the given differential equation is: dydx+5y=sec2e5x the given differential equation is of the form d...

Q: Use logarithmic differentiation to find the derivative of the function. Please type out the answer c...

A: Given that: y=5+4x2x2+13

Q: 1 Determine the average value of f(x) over the interval from x= a to x = b, where f(x) = 1 a = and b...

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.