74. The graph of the function f(x) = ax? + bx + c has vertex at (1, 4) and passes through the point (-1, -8). Find a, b, and c.

Q: 6. Eliminate the arbitrary constants from the relation y=ax² +bx +c.

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Q: -1 if f(x) = xtan ,"x,find f' (/3 )by first principle

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Q: n 19 The minimum value of function y = x² in the interval [1, 5] is %3D

A: Introduction :

Q: 21. Find the quadratię function y = ax² + bx + c whose graph passes through the points (-1,0), (1,…

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Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

Q: What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)? Enter your answer as…

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Q: 2 The function f(x) is linear and it decreases for all values of x. On the coordinate plane, draw a…

A: We want to find a decreasing linear function.

Q: 2 Z= 22,

A: Given  z=2x12+x1x2+4x22+x1x3+x32+2

Q: . How many point(s) of inflection are on che graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x² -…

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Q: 2-→Find-the-residues of the-function-at-its-poles F1:(2)-(2-z-+3)/(z²-4)1

A: The given complex function is: F1(z)=2z+3z2-4

Q: 7) The revenue and costs (in millions of dollars) for Ford Motor Company for the years 2004-2012 can…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: 5. Eliminate the arbitrary constants from the relation y = Ae* + Bxe²*.

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Q: For what value of the constant c is the function f continuous on (-∞, 0)? cx2 + 8x x3 - cx if x < 5…

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Q: determine from its graph if the function is one-to one.

A: fx=1-x2,x≤0xx+2,x&gt;0

Q: 18. Suppose that a company produces and sells bicycles and that the start-up cost is $3000 and $75…

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Q: 2-→ Find-the-residues-of-the-function-at-its-poles F1:(z) = (2-z-+3):/(z²-4)¶

A: We need to find the residues of the function F1(z)=(2x+3)/(z2-4) at its poles.

Q: For what value of x does the function f(x) = x in the interval[-3,5]? - 4x attain the absolute…

A: find critical points and find function of the value at the end points and critical point the min…

Q: 10. Which is correct for the function f(x) = 2|x + 3| – 2? A. maximum (-3,-2) B. minimum (-3,-2) C.…

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Q: 3. Find the exact area of the piece of land in San Francisco, Surigao del Norte which is bounded by…

A: Topic:- application of integration

Q: 9. Given f'(2) does not exist and f"(2) > 0, is x = 2 a maximum, minimum, or neither of f? Explain.

A: Given: x=2f'(2) = does not existf"2&gt;0

Q: The interval where  f(x) = )=(√x+2) / x2 - 2x - 8 is continuous is ?

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Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: 6. Find the length of the curve given by the graph of the function f(x) = x/x, for x in [1,4].…

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Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

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Q: 1. How many point(s) of inflection are on the graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x2 -…

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Q: 2 The critical point for the function g(x)= X +4x is Select one: a. (4,-2) b. (-2,4) C. (2,4) d.…

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Q: 12. The graph on the right is NOT differentiable at x = 1. For what reason is it not differentiable?

A: Yes, given graph is correct.Given function:f(x) = x-1f(x) = -x+1        x&lt;1x-1           x≥1

Q: Compare the graphs of the functions. Y1 = In(2x) and Y2 = In 2 + In x

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Q: 3. Investigate the existence of local maximum and or minimum point(s) of the function f(x; y) =x -x…

A: Given: f(x, y)=13x3-x+xy2

Q: A researcher believes that if x thousand individuals among a susceptible population are inoculated…

A: Given: I(x)=aRx-b R=0.9

Q: 1 - X 0 3

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Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

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Q: 1) Consider the end behavior description below. • as x -, fx) - • as x, fe)-- Which function…

A: We need to select a function for which 1. As x→-∞, f(x)→∞ and 2. As x→∞, f(x)→-∞

Q: [1, 2). over Calculate M6 for f(x) = 3 · In(x³) M6

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Q: 13. Find the minimum and maximum value of the function on the given interval. y = 2x 2 + 4x + 5 [-2,…

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Q: between the graph of f(x) = x²- 2x and the x axis over the indicated interval [1, 2]

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Q: 8. Determine a quadratic function f(x) = ax² + bx + c if its graph passes through the point (2,22)…

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Q: Suppose that the function f(x) is concave down on the interval (2,5). Can conclude that the function…

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Q: (2) Find all the points of discontinuity of the function S(x) = } x + 2 (x2 – 4 1<x< 3 x2 3

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Q: 13. Find a function rule for a function that has x-intercepts of (0, 2) and (0, 8) and a y-intercept…

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Q: 4 3 Find the maximum and minimum values of f(x) = x* + x° – 2 on the interval [- 2, 2].

A: Given that f(x)= x4 + x3 -2 and we find maximum and minimum value in the interval [-2,2]. Here i…

Q: Show that the graph of f(x)=(3-4x)/e^2x has minimum value at x=5/4.

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Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

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Q: х — 2 Consider the function f(x) = x - 4 Use the graphing utitlity to graph f. (x- 2) (x - 4) f(x) =…

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Q: Graph the function for the glven domaln. y = 2x D-2,0,2, 4 20 16 12 -8 -12 -16 -20 -n 4. -2 -1 0 1 2…

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Q: 1) Find a function y whose graph passes through the point (1, 2) and satisfies x?y' = y.

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: The population of the United States can be modeled by the function p(x) = 80.21e131x where x is the…

A: We have to graph P(x) and predict population in given years.   According to our guidelines we can…