At what points is the function y = X 2 x + 5 - 13x + 40 continuous?

Q: Fill in the rest of the table. xf(x) g(x) 3 2 4 1 1 2 3 4 10 5 3 4 2 5 1 LO 5 f(g(x)) g(f(x))

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Q: domain

A: Please refer to the image below

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem states that "for closed curve C enclosed a region R then the line integral along the…

Q: A clothing business finds there is a linear relationship between the number of shirts,n, it can sell…

A:

Q: The derivative of e" is e. What is the derivative of e? There are two functions named 'sinh' and…

A:

Q: Evaluate the line integral r(t) = (sin t, cos t, t), F · dr, where F(x, y, z) = −3xi + 2yj + 4zk and…

A: Given:- Fx,y,z=-3xi+2yj+4zk rt=sint,cost,t To find:- ∫cF.dr , where c is given vector rt ,0≤t≤3π2

Q: Let f(x) = 4x - 9. Simplify each of the following expressions. f(a)= 4a - 9 f(a+h) = 4a +4h-9…

A: Given query is to perform indicated operation on th function.

Q: A company produces wooden tables. The company has fixed costs of $2100, and it costs an additional…

A: fixed cost=$2100additional cost per table=$40

Q: 2. The limit of the following function equals: a. 0 b. 1 c. -1 d. None of the above answers x2/3 +…

A: See this solution in.

Q: 200N 30° 60° 300N 60° 300N 400N Find the resultant and Ø of the concurrent force system shown

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Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: Note:- since part f incomplete to find value of x we need equations of revenue function and cost…

Q: For what value of a is the following function continuous at every x? f(x) = a²x-8a, x≥2 X<2 OA. a=…

A: Topic = Functions

Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

Q: Graph the solution of the system of inequalities. x + 2y ≤ 8 3x y ≥ 0 y ≥ 2 X - -

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Q: 1. Find the derivatives of the following function (a) y=4²+2

A: Given Equation: y=4x2x-3xx+2xx          .....................(1)y=2x+3x2+x+1…

Q: Which number is equivalent to A 2 B 9 C D 81 729

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Q: Determine whether the line integral of each vector field (in blue) along the oriented path (in red)…

A: Solution ) when the path is perpendicular to the vector field line integral will be 0 When path is…

Q: Find the equation of a plane that is perpendicular to the vector 4 i + 2 j - 2 k and passing through…

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Q: Use the given conditions to write an equation in point slope form and slope intercept form. 8. Slope…

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Q: Find the domainof the function. Give the result in interval notation. f(x) = 7/1−2e^x

A: Given function f(x)=71-2ex

Q: 4 + 12--104 X

A: -9x + 12 -10 + x Separate the variable and constant

Q: 4. < y:5

A:

Q: 35. Lim x2-1 X1 X-1

A: Given,             limx→1x2-1x-1

Q: Evaluate the piecewise defined function at the indicated values. f(x) = 3 if x ≤ 5 5x −…

A: Given function  f(x)=3if x≤55x − 6if x&gt;5To Find: function value at  f(−6)   = f(0)   =     f(5)…

Q: A cubic material is to be made by welding 6 square metal sheets each has a side of 3.5ft and a…

A: Let's find cost of construct the cube.

Q: 3) f(x) = 2x² + 4x Find a) f(3) b) f(x - 1) c) f(a+h)-f(a)

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Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: The objective of the question is determine the amount after the given year end .

Q: b) Calculate the following definite integral: [*(√x - 3) dx

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

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Q: Given f(x)=x²-2x+1, g(x)=√7-x, h(x) = 2-5x² J

A: Given 1. fx=x2-2x+1 2. gx=7-x 3. hx=2-5x2

Q: Consider the following function. f(x) = x4 − 2x2 + 9 Find  f(−x)  and simplify as much as possible.

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Q: Use the following function and its graph to answer (a) through (d) below. 4-X, X2. Let f(x)= a. Find…

A: Given that fx=4-x,x&lt;2x+1,x&gt;2Solution :

Q: 44. Given the alternating series: 1-+-+632... What is the error bound for an 80 term calculation? A.…

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Q: given the parent function f(x) = x2 squared write an equation that moves f(x) left 4 units and up 1…

A: The parent function fx=x2moves 4 units left and 1 unit up.

Q: Find the indefinite integral. (Use C for the constant of integration. [₁6√₁7-10 100 dt

A: Let's solve given integral.

Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 8x − 3 f(2x)  =…

A: We have to slove above questions

Q: The online program at a certain university had an enrollment of 540 students at its inception and an…

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Q: Evaluate the integra S 10x dx

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Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

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Q: 4 9. 54 = a¹

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Q: Researchers developed a function that can be used to accurately predict the weight of female cows,…

A: Researchers developed a function that can be used to accurately predict the weight of female cows,…

Q: C) g'(x) = 3x²; g'(1) = 3 D) g'(x) = 3x2 + 5; g'(1) = 8 mits to find the derivative function f' for…

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Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of…

A: Solution is given below:

Q: Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has…

A:

Q: Describe all the x-values at a distance of 15 or less from the number 10. Enter your answer in…

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Q: 27. a. Cauchy-Schwartz inequality Since u v = |ul|v| cos 0, show that the inequality u v ≤ |u||v|…

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Q: 13. Lim (2 Flx) - 3g(x)) X-3

A: We can find the answer in the below steps.

Q: valuate: fe²z cos(e³)dz = + C Hint: Rewrite e² = e.e²

A: Please refer to the image below

Q: 1. The general formula for a sequence is t = 3t₁ - ₁ - n, where t₁ = 3 Find the fourth term.

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Q: b) Find the domain and the range of the following function: f(x)=√x²-25

A: Please see the below picture for detailed solution.