Determine the quadratic function of the form f(x) = a(x - h) +k whose graph is given on the right. AY (x) =D (Do not simplify.) (25)

Q: 1. For the quadratic function f(x) = x² + 6x + 11: a) Write the function in the form f(x) = a(x –…

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Q: Find least square quadratic approximation of function with f(- 2) =0 f(– 1) =5 f (0) =0 f (1) = – 5…

A: We have to solve the given problem by least squares method.

Q: The table shows the mass of a substance decreasing over a period of time during a chemical…

A: Let the quadratic equation is  Mt=at2+bt+c                            ……(1) where, a, b and c are…

Q: 8. For the quadratic function f(x)=2x² – 24.x+90 (a) Complete the square to put the equation into…

A: Given query is to find the the vertex form and the minimum value of f.

Q: a) Find the points on the graph of f(x) = 2x- 3r²- 12x + 8 where the tangent is 3. horizontal.

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Q: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

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Q: Find the formula for a function of the form y=be^((-(x-a)^2)/2) with its maximum at the point (0,5).…

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Q: if y=x to the 3rd power - 3x. find the maximum value of y? -1

A: Given

Q: Consider maximising 10 - x2 - 4y2 + 2xy where where x > 12. What y-value solves this maximisation…

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Q: using​ INTERSECT, approximately ___ minutes need to elapse before the pizza is 170°F.

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Q: The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.

A: Given  y = 2x2 - ln 4x

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x2 – 8x + 4 has a tangent…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x° + 4x² – 3x – 3 at x = -4.

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Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x * +16x + 4)²(x ³ + 4)…

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Q: 3. The cost, c(x), in dollars per hour of running a certain steamboat is modelled by the function…

A: Detailed explanation mentioned below

Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

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Q: The slope of the line tangent to the graph of f(x) = 15 – 3a2 at the point z = -8 %3D 48 96 O 12 O…

A: Solution is given below : Answer: 48

Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function…

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Q: Find a formula for the quadratic function whose graph has a y-intercept at y 7 and z-intercepts at…

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Q: Q1/a) Find the curve whose slope at the point (x,y) is 3x2 if the curve is also passes through the…

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Q: The table shows projections for the female population of a country (in millions). Year 2015 2040 181…

A: a. If x=0 corresponds to the year 2000. Then, for 2015, x=15 and for 2040, x=40 and for 2050, x=50…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 2x3 + 8x² – 3x – 6 at x = -2.

A: 1. find the y coordinate by putting the value of x in the function. 2. Find the first derivative of…

Q: Determine the maximum r-values of r-7cos4e. 8- 0. * 3x 3x e= 0, e= 0, .

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Q: 7. Determine the equation of the function with zeros at ±1 and - 2, and a y-intercept of-6. Then…

A: We have to find function

Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 7x2 – 4x – 3 at z = -5.

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Q: 1. For what value (s) of x is the function f(x) = 4/2x2 - 6x not continous?

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Q: If a quadratic function has a dilation rule in the form f'(x) = af (x)´, what will cause a…

A: We have to find out  horizontal dilation

Q: A molecule is moving along the x-axis such that at any time t 2 0 (in seconds), its position from…

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Q: Find the equation of horizontal asymptote of y=3(0.2^x)+15pi

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Q: The quadratic function y = ax? + bx + c pass through (2, 1) and tangent to the line y = 2x + 4 at…

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Q: 2 If f(x) = 2x- kr has a relative maximum at r = -2, then the value of k is %3D

A: Note :-  If f(x) has relative maximum at x=a then f'(a) =0.

Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

Q: 2. Find an equation of the form f(x) =b.a +c that has the horizontal asymptotes at y = 350,…

A: y=b is said to be a horizontal asymptote of a curve y=f(x) if as x tends to infinity (or -…

Q: 9. Factor and sketch f (x) = -2x° – 10x + 18x + 162x³ + 216x² %3D b) State when the IROC is zero c)…

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Q: If f (x) - 2x - kex has a relative maximum at x = -2, then the value of his

A: Given  f(x)=2x-k.exNote: As there is no h in the equation it is assumed that we need to find…

Q: The table shows the mass of a substance decreasing over a period of time during a chemical…

A: The table is formed between the mass of the substance with respect to time. Time (s) Mass (g) 2…

Q: 11. The maximum point of the curve * y =r' - 3r° + 4 is at

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Q: The table shows projections for the female population of a country (in millions). Year 2015 2035…

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Q: 4. The quadratic function f(x) has a turning point at (-3,6). The quadratic y=÷f(x)+3 would have a…

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Q: Determine equation in factored form for the function, f(x), shown on the graph. y Intercept (0,6)…

A: By looking at the graph it can be said that the function is of order 3. Here, the x-intercept is…

Q: 2) For over 20 years, the population of Tressel, Ohio has been increasing linearly according tothe…

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Q: (b) Find the linearization of function S(x) = Vx V220 at a=216 and use approximate number (c)Find…

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Q: B3(a): Find the critical points of the function f(x) = 6x² – 12x. %3D

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Q: A quadratic function y J (x) is plotted on a graph and the vertex of the || resulting parabola is…

A: If y = f(x) + C ,then C > 0 moves it up C < 0 moves it down If y = f(−x), then Reflects it…

Q: Q1. Determine whether this is a quadratic spline function T € (-00, 1] f(x) = {-(2 – x)² + T € [1,2]…

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Q: Find the absolute maximum value of the function f(x) =-z² – 4x – 2 on the interval [3, 3 ]. a) О-2…

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Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

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