2. The so-called "shark fin" piecewise function consists of two quadratic polynomials:x² +1 on [0, 1] and ax²+bx+c on [1,2]. The first and second quadratic pieces mustmeet at the point (1, 2). The second quadratic must also go through the point (2, 1).The slope of the second quadratic at x = 1 is 0.Set up and solve a system of equations to find the second quadratic.

If a point (c,d) lies on the curve y=f(x) then it satisfies the equation of the cutve⇒At x=c,y=d…

Answered: The so-called "shark fin" piecewise…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find an orthogonal change of variables that eliminates the cross product terms in the quadratic form Q, and express Q in terms of the new variables. 7x구 +6x2 + 5x금-4r x2 + 4x2.13 2 A substitution x = Py that eliminates cross-product terms is xį = -y1 +Y2 - V3, x2 = -z1 + zy2 +zV3, 2 1 X3 = -V1 + V2 – V3. The new quadratic form is 3y – 6y + 9y?. O A substitution x = Py that eliminates cross-product terms is x1 = - y1+ 2y2 - 2y3, X2 = - 2y1+ y2+ 2y3, X3 = 2y1+2y2 + y3- The new quadratic form is 3y + 6y + 9y. 2 1 + 2 2 A substitution x = Py that eliminates cross-product terms is x = - 2 X2 = 1 + + 1 V2 + zV3. The new quadratic form is 3y + 6y + 9y. X3 = 1 2 2 2 A substitution x = Py that eliminates cross-product terms is x = -I -2 -y3, x2 = -1 - 32 + 33, 2 1 X3 = 7Y1 + zV2 + V3. The new quadratic form is 6y+ 5y + 3y. O A substitution x = Py that eliminates cross-product terms is x1 = - y1- 2y2 - 2y3, X2 = - 2y1 – Y2+ 2y3, X3 = 2y1+2y2 + y3- The new quadratic form is 9y + 3y + 6y.
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MAC1140 Precalculus Algebra (FA21) = Homework: 8.2: Systems of Linear Equations... Find the quadratic function y = ax? + bx + c whose graph passes through the given points. (1,7), (– 1, – 3), (- 2,4) y=D |
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Create and solve a linear quadratic system to solve the problem. A bungee jumper leaps from a bridge 97 meters over a gorge. Before the 40-meter-long bungee begins to slow him down his helght is characterized by h (t)=4.91+97. Two seconds after he jumps,a car on the bridge blows out a tire. The sound of the tire blow-out moves down from the top of the bridge at the speed of sound and has a helght glven by h (t)=-340t+777. How high will the bungee jumper be when he hears the sound of the blowout? If necessary, round your answer to the nearest hundredth. Give the system of equations. h(t)=-49r2+97 The solutions appear to be about ( ) and ). The jumper hears the tire blow-out at a height of about meters.
A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit (in dollars) must be p(x)= 3600 – 2 -x . The manufacturer also determines that the cost of producing x stereos is given by C(x) = 5000 + 40 -x . What price per unit must be charged to maximize profit? Click here to create a new row p = $
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