Find (fo g)(x) and (g o f)(x) and the domain of each. x+4 f(x) = 2x- 4, g(x)= -

Q: 2-3 Let f(x) = %3D x-2 a. Find the intervals on which the function is increasing and decreasing. b. ...

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Q: Does the series E (-1)"n²" converge absolutely, converge conditionally, or diverge? n= 1 Choose the ...

A: The given series,         ∑n=1∞-1nn216n

Q: se a definite integral to find the area of the region between the curve y = 12x and the x-axis on th...

A: Given query is to find the area under the curve for the function.

Q: source Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Contine...

A: NOTE: Refresh your page if you can't see any equations. . x=number of quarts of creamy vanilla y=num...

Q: 1 Suppose that L is a location function of an object, given as L(t) We will compute %3D - 4t +7 inst...

A: We have to find the the limit at t=7.

Q: Lan® do In (cos0) 3.

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Q: S (72³ + 4a²) dæ

A: Evaluate the integral ∫7x3+4x2dx  

Q: The graphical method of linear programming is restricted to problems having no less than three varia...

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Q: Given x'y+ xy = 2, find a) y and b) an equation for the tangent line at x 1. I|

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does n...

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Q: (a) Find the value of k. Is the population increasing or 32. Population The populations P (in thousa...

A: We will find as shown below

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1  

Q: 12] (1+e* 1-ex S dx 3x2+14x+13 (3] S dx

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Q: The base if a solid is the region bounded by the graphs of f(x)=x^(2) and g(x)=18-x^(2). Find the vo...

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Q: xInsinx?dx То evaluate using Gen. Power Formula, we let u=Insinx? .2 tanx? A) True В False

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Q: Solve the inequality and write the solution in interval notation when possible. Express numbers as i...

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Q: For a function f integrable on [a,b], its average value on [a,b], also called its mean, is given by ...

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Q: Determine the value/s of D if the graph of the equation 4x? + y2 – 4x + Dy = -2 is 1. an ellipse; 2....

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Q: Write the domain in interval notation. Write your answers as integers or simplified fractions if nec...

A: Given query is to find the domain of the function.

Q: Find the slope of the secant line in red. 104 (3, 8) (1,2) -10 -6 6. 8: 10 -6- -8+ -10 The slope of ...

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Q: 4. A student borrowed money from a friend at 5% simple interest to help pay for college tuition. At ...

A: Given, Final amount = $1365 Interest rate = 5% = 0.05

Q: The graph of a function f is given. (Enter your answers as comma-separated lists.) yA (a) At what nu...

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 3t-: -7t-10. Find the...

A: We can find the answer as below.

Q: Evaluate the integral 3 sin(t)dt

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

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Q: (r+6)dr 4. S (z+2)?

A: Given: = The indefinite integral is, ∫(x+6)(x+2)2dx To find: -The complete solution of the given ind...

Q: The length of a rectangular poster is 1 ft more than the width, and a diagonal of the poster is t. F...

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Q: Question 4 dx 1 the integrand is x2 In A) True B False

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Q: 4y4+12y²+9) *dy

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Q: Use the graph to find the following limits and function value for each value of a. i) lim f(x) ii) l...

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Q: The equation of motion of a particle is s = t – 4t3 + t2 - t, where s is in meters and t is in secon...

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Q: Find the area bounded by the curve y=4sinx and the x-axis from x=1/3 to x=1. O 6 sq. units O 8 sq. u...

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Q: Questions: (2 points) Find the tangent plane to the surface of x? + 2² = y? + 9 at (1, – 1,3). 3

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Q: ch triangle. Ro A 13

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: A model of a building is in the shape of a cube with a square pyramid on top. Each edge of the cube ...

A: Volume of the model is equal to sum of the volume of Cube and volume of pyramid

Q: Let lim f(x)=9 and lim g(x)=27. Use the limit rules to find the following limit. X-3 X→3 f(x) lim f(...

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Q: Convert the point from rectangular coordinates to spherical coordinates. (-8, –8, V7)

A: The given point -8,-8,7

Q: The radius r of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of chang...

A: Given query is to find the rate of change of area of a circle whose radius is increasing with rate o...

Q: sec® tan³Od0 5ød® coso

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Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the interv...

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Q: 5. Suppose that $4100 is invested at 2.3 % compounded quarterly. How much will be in the account aft...

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Q: xInsinx?dx То evaluate using Gen. Power Formula, we let u =Insinx2 tanx2 A) True B) False

A: We put u=Insinx2 and differentiate both sides with respect to x and solve it. Follow 2nd step.

Q: f (x) = ƒ a + bt + ct²dt 2 f'(x) = x²(2x³ – 3x) + 4x - and calculate: a +b+c=?

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Q: Drawing Example 1: Use the definition to find the derivative of the function f(x) = x? - 2x Solution...

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Q: Karen decided to put her money into two investments. She deposited an amount in an investment paying...

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Q: Find the general explicit solution to the differential equation y′ − 3x2y = x2

A: The given differential equation is y'-3x2y =x2. We solve the differential equation by separation of ...

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

A: To find :  limx→∞ 7x3+5x-27x4+5x3-2

Q: Evaluate the integral 3sin^2(t)cos^4(t)dt, from 0 to pi.

A: Given problem:- Evaluate the integral 3sin2(t)cos4(t)dt, from 0 to pi.

Q: C: In Exercises 8-9, find dr/d@. 8. r = sec 0 csc 0 9. r = 4 – 0²sin 0

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)3 at x-3. y =D] (Type your answer...

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