Find (f ∘ g)(x) and the domain (using interval notation)   Find (g ∘ f)(x) and the domain (using interval notation)   Find (f ∘ f)(x) and the domain (using interval notation)   Find (g ∘ g)(x) and the domain (using interval notation)

Q: Use technology to graph f(x) = ! and find lim!

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Q: Graph the hyperbola, x2 - y2 - 2x - 2y - 1 = 0. Locate the foci and find the equations of the asympt...

A: Given, The equation of hyperbola is  x2 - y2 - 2x - 2y - 1 = 0,  

Q: 10-

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Q: Where is the function f(x) =| x | differentiable?

A: Given information: fx=x The function, after removing modulus function, y=x=x,      x>0=-x,   x&lt...

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

A: The graphs of f(x) and g(x) are as shown below : a) limx→2fx+g(x)=limx→2fx+limx→2g(x)=-1+2=1∴ limx→...

Q: Find the derivatives of the functions y = ln (sec2 θ)

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Q: Answer 1-3

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Q: Find the coordinates of points where the graph of f(x) = -x³ + 6x2 – 9x + 8 has horizontal tangents....

A: Find the points the function has horizontal tangent. fx=-x3+6x2-9x+8Differentiate w.r.t. x,f'x=-x3+6...

Q: Television Advertising As Sales Manager for Montevideo Productions, Inc., you are planning to review...

A: Given that the number of contracts when the hourly price is $2400 is 16 and when the hourly price is...

Q: Differentiate the function. y = (6x2 + 2x + 4) / sqrt(x)

A: Consider the given equation: y=6x2+2x+4x Quotient rule of the differentiation is given by: ddxuv=u'v...

Q: Which of the following is a true statement? d (10) = 5 (104) da O The equation of the tangent line t...

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Q: Solve by the addition method 4x + 5y = 3 and 2x - 3y = 7.

A: 4x+5y=3    →12x-3y=7    →2 Now Equation 1-2×Equation 2, we get 4x+5y-22x-3y=3-27⇒4x+5y-4x+6y=3-14⇒11...

Q: QUESTION 3 Let f(x) = x. The graph of f(x) is translated 9 units up and 3 units left. Identify the f...

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Q: Find a polynomial function of degree 3 with the given numbers as zeros. Assume that the leading coef...

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Q: Find two solutions of each equation. Give your answers in degrees (0° ≤ θ < 360°) and in radians ...

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Q: Evaluate the limit. Show all work. If any answer is “Does not exist,” explain why.   CHECK IMAGE #1

A: 1.(a) We have to evaluate limx→7x2-49x2-2x-63 limx→7x2-49x2-2x-63=limx→7x+7x-7x2-9x+7x-63=limx→7x+7x...

Q: 3 X* +X - 3 5. Evaluate lim 3. 4x

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Q: Consider a function that is piecewise - defined according to the formula (x + 2) + 1 for - 1 1 4-x U...

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Q: Find all zeros of f(x)=x^3+x^2−3x+1. Enter the zeros separated by commas. Enter exact value, not dec...

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Q: For the graph shown, what is lim f(x)? 10- 4- 21 1 2 3 4 5 67 8 9 10 -4+ -6 -10 -9 -8 -7 -6 -5 -4 -3...

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Q: Use the center, vertices, and asymptotes to graph the hyperbola (x + 3)2/25 -y2/16 = 1. Locate the f...

A: Given: x+3225-y216=1 To Find: 1. Use the center, vertices, and asymptotes to graph the hyperbola. 2....

Q: Graph the equation in a rectangular coordinate system: 3x - 18 = 0

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Q: Solve the Bernoulli equations y' - y = xy2

A: Given Bernoulli equation isy'-y=xy2. The general solution of Bernoulli differential equation isdydx+...

Q: Calculus Question

A: Given information: The Amplitude is the height from the centerline to the height (or to the peak). ...

Q: Suppose the velocity of an object moving along a line is positive. Are displacement and distance tra...

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Q: A. Find the first three terms of the sequence defined by each equation. 1. tn 2n - 7 2. tn = (-4)n 3...

A: 1. Given:                 tn=2n-7 Plug n= 1, 2 , 3 to obtain the first there terms of the given sequ...

Q: Find the domain and sketch the graph of the function.

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Q: The following graph shows the point 5m 2, 4

A: Given: Standard cocentric circle with x2+y2=r2where r=1,2,3,4,and 5 and the given point situvated on...

Q: Express interval in set-builder notation and graph the interval on a number line. [-4, 3)

A: Given interval is [-4,3) Here, x is greater or equal to -4 and less than 3. In set builder notation ...

Q: Let f be defined as follows. y = f(x) = x2 − 3x (a) Find the average rate of change of y with re...

A: Given: y=f(x)=x2-3x To find: The average rate of change of y with respect to x in the following inte...

Q: Differentiate the function. f(x) = 290 f'(x) =

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Q: 5-

A: Consider the given: fs=s3e4+3eDiffrentiate w.r.t. "s"f's=ddss3e4+3e=e4ddss3+3edds1=e43s2+3e0=3e4s2+0...

Q: A rock is dropped off the edge of a cliff and its distance s (in feet) from the top of the cliff aft...

A: If the rock strikes the water then s(t)=144 so,  16t2=144t2=14416t2=9t=3   Answer(a): 3 seconds    

Q: Calculus Question

A: We first have to find all the factors of the first and last term.  p=Factors of 1=±{1}q=Factors of 1...

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?...

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Q: Graph please

A: The given polar coordinate is, -2,7π4

Q: Determine whether the equation x + y3 = 8 defines y as a function of x.

A: The given equation is x + y3 = 8.

Q: Calculus Question

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Q: evaluate each function at the given values of theindependent variable and simplify   f(x) = 5 - 7x a...

A: f(x) = 5 - 7x   To get f(4), put x= 4 in the given function

Q: Calculus Question

A: Given: fx=x3+8x2+4x+1

Q: Find the coordinates of all of the points on the graph of y = f(x) that have horizontal tangents. f(...

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Q: How do you evaluate ∫ba r(t) dt?

A: Consider the given: ∫abr(t)dt Consider the first fundamental theorem of calculus: Let r(t) be contin...

Q: Find the derivatives of the functions y = (x + 2)x+2

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.