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

A: A rational function is continuous at all the points wherever it is defined.

Q: 3. X+Y)/4=5Z

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Q: The Differential Equation y'+y=e* has a solution y=(x+C)ex C is an arbitrary constant. IF TRUE, show…

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Q: Use the graph to find the average rate of change. 5) Monthly Cellular Phone Charge in Dollars 80+…

A: To find average rate of change of given function through its graph.

Q: Use a graphing calculator to graph the equation in the given viewing rectangle. [-50, 50] by [-0.2,…

A: Graph of the function is given as below,

Q: Consider the integral 2³ In(a) dz: Applying the integration by parts technique, let u = ln(2)…

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Q: lim x → 0 cosx−1 -1 X

A: The given limit is: limx→0cosx-1x   As we know that; cos-θ=cosθ

Q: Sketch the graph of the function. [21x if || ≤ 1 if || > 1 f(x) ) = {2시 -3 -2 -1 -3 -2 -1 4 2 -2 y…

A: Topic - graph of a function

Q: Procedures and Problem Solving Library of Parent Functions In Exercises 5-8, use the graph of the…

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Q: Give an example of a function f(x) that is continuous for all values of x except x=2, where it has a…

A: We have to solve question with concept of removable discontinuity

Q: Set up an integral for the area of the shaded region Evaluate the integral to find the area of the…

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Q: A rectangle has perimeter of 64cm. Write an equation which relates the length of the rectangle as a…

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Q: A cylindrical oil tank 8ft deep holds 380 gallons when filled to capacity. How many gallons remain…

A: We have to find the volume of tank.

Q: Find the equation of the plane in xyz-space through the point P = (4, 2, 4) and perpendicular to the…

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Q: 51. Lim ex-1 хто егу +2ex-3

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Q: (b) y = √2-3x

A: y=2-3x

Q: 6. (01.03 HC) Values of f(x) at selected values of x are shown in the table. X 2.75 2.9 2.99 3.01…

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Q: Find the decomposition a = ªb + ªь with respect to b if a = (x, y, z), b = (-1,-1,-1). (Give your…

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Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

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Q: Find the perimeter of the following closed figures

A: Finding the perimeter

Q: What about the graph, where to plot the both lines ???

A: As S denotes the number of bowls of salad and P denotes the number of pizza slices .Also given that…

Q: 3. Doubling time is the amount of time it takes to double an initial deposit. You deposit $20,000 in…

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Q: ƒ(x)—ƒ(6) f(10) c) f(x) = =

A: To find f(x)

Q: G] Example: Raggs, Ltd., a clothing firm, has fixed costs of $10,000 a year. These costs, such as…

A: The total cost Cx in dollars of producing x suits a year is given by a function C.Cx=Variable…

Q: JJD In Exercises 7-10, evaluate the given double integral over the quarter-disk Q given by x ≥ 0, y…

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

A: Please refer to the image below

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: Find the volume of the solid that results when the area of the region enclosed by y=√√sin x and the…

A: Concept: Volume by integration: The volume of the solid produced by the region under f(x) centered…

Q: 9. The function f is continuous on the interval [3, 11] with some of its values given in the table…

A: Let's find average rate of change.

Q: Write interval notation for the given graph. -10 9 -8 -7 -6 -5 The interval notation is (Type your…

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Q: 3 4 y=2xt (1, 2) 3 x L is perpendicular to y = 2x

A: Equation of line L ......x+2y-5=0 For detail...go through the solution

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

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Q: C] Find the domains and ranges of the following relations 1) 3) F 67 2 0 -2 2 10 2) 5 0

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Q: 2. Verify that the function is solution to the given differential equation. et 1+ et d.P dt =…

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Q: f(x)=(x-6)³+4, [4,7],f(c)=3 3

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Q: Make a table of values for the equation. y = -√25-x² X -2 -1 0 у

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Q: 7. A traditional first experiment in a physics laboratory is to make 98 observations ab records the…

A: Given formula for linear regression is as below  take t as x and h as y. find mean value

Q: Calculate the cross product assuming that = (-2, -8, -2) u x w = (4u − w) × w = (100)

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Q: Graphs of f and g are shown. Is f even, odd, or neither? even f odd neither Explain your reasoning.…

A: The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An…

Q: The owner of a hamburger stand finds that she can sell an average of 200 hamburgers per day if she…

A: Suppose, y is the number of hamburgers she sells and x is a price of a hamburger. And, for the…

Q: 3x+5 2x-7 a) Find the Limit of f(x) as x approaches positive infinity. Give the exact answer as a…

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Q: Parameterize the line through P = (-4,-4) and Q = (0, 3) so that the points P and Q correspond to…

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Q: O V(2)-V(1) 1 O V(lim t) t-1 The size of a balloon is changing with respect to time, such that the…

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Q: Evaluate ex+y dx dy In8 1-y y=0x=0 O e-In2 eln 8-7 025

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Q: www Given the function defined by f(x)=3x−1, find f(-

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Q: Use Green's Theorem to evaluate >[2²y² dz + (yz²³ + y²) dy where Cis shown below. 90 O-384 O-48…

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Q: 20. An aquarium contains 10 gallons of polluted water. A filter is attached to this aquarium which…

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Q: Find the integral involving secant and tangent. (Use C for the constant of integration.) Itan tan²…

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Q: B. Determine the center and the radius of the circle described by each equation. Then, sketch its…

A: Let's find radius and center of circle.

Q: b) Calculate the following definite integral: [* (√x - 1) dx

A: