Hitting a Baseball A baseball is hit so that its height in feet after t seconds is s(t) = -16r² + 44: + 4. (a) How high is the baseball after 1 second? (b) Find the maximum height of the baseball. Support your answer graphically.

Q: Height of a Ball If a ball is thrown directly upward with a velocity of 40 ft/s, its height (in…

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Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: I have stated the used formulas in the solution

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Q: a baseball is hit so that its height in feet after t seconds is s(t)=-5t2+20t+3 a.) how high is the…

A: The height of the ball after t seconds is given by the function: s(t)=-5t2+20t+3

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A: We will find the range of the given polynomial function which is a quadratic equation by completing…

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Q: The height y (in feet) of a ball thrown by a child is y=(-1/16)x^2+4x+3 where x is the horizontal…

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Q: 2. A box has volume V(x) = 4x - 176x + 1536x. Find the maximum volume of the box. Justify your…

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Q: An arrow is fired into the air with an intitial velocity of 160 feet per second. The height in feet…

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A: We can solve the given problem by using the second derivative test. Second derivative test : Let…

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A: I use first derivative test to find where area is maximum and minimum

Q: The height y (in feet) of a ball thrown by a child is -2² + 4x + 3 12 y = where x is the horizontal…

A: Here we have, The height y (in feet)  of a ball thrown by a child is y=-112x2+4x+3…

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Q: 6. A projectile is thrown vertically upward from atop a 100 meter tower with an initial velocity of…

A: The given equation of the projectile is,

Q: Profit The weekly revenue for a product is givenby R(x) = 120x - 0.015x2, and the weekly costis C(x)…

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Q: Question #62

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Q: Revenue The price for a product is given byp = 100,000 - 0.1x2, where x is the number ofunits sold,…

A: R=100,000-0.1x2·x a. Put R=0 in R=100,000-0.1x2·x, we get ⇒100,000-0.1x2·x=0⇒100,000-0.1x2=0  or…

Q: 4. PATH OF A DIVER The path of a diver is given by 24 y = -r + +12 where y is the height (in feet)…

A: Solve for the maximum height

Q: The height y (in feet) of a ball thrown by a ch 1 -x² + 6x + 5 - y = 14 where is the horizontal…

A: The height of the ball is given by  y=-114x2+6x+5 in feet where x is horizontal distance from child.…

Q: The height y (in feet) of a ball thrown by a child is  y= -1/12x2 + 2x + 5  where x is the…

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Q: b. (-V5,0). (V5,0) and (-3, 12) Step (b):

A: We have to find out

Q: Using the concept of maxima-minima find three positive numbers, whose sum is 30 and whose product is…

A: Let x, y, z be three positive numbers, whose sum is 30 i.e. x+y+z=30            . . .(1)

Q: The height y (in feet) of a ball thrown by a child is 14 y = + 4x + 5 where x is the horizontal…

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Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: Axis of symmetry is  x=0

Q: The height Y (in feet) of a ball throwH By 1 y = x² +2x +5 16 where x is the horizontal distance in…

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Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 6x + 5 16 y = where x is the…

A: Given : The height y(in feet) of a ball thrown by a child is y = -116x2 + 6x + 5 where x is the…

Q: The height y (in feet) of a ball thrown by a child is y=(-1/16)x^2+6x+3 where x is the horizontal…

A: Given equation of height is as below:

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 3 14 y = where x is the…

A: Topic:- Application of Derivative  a) 3 feet b) 59 feet c) 56.74 feet

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 3 16 where x is the horizontal…

A: Solve the quadratic equation to find all values

Q: 33. Crop yield The yield in bushels from a grove of orange trees is given by Y = x(800 - x), where x…

A: The solution of problem no (33) is given in the next step.

Q: The height y (in feet) of a ball thrown by a child is 1 y = -x² + 4x + 3 14 where is the horizontal…

A: Solution is here

Q: The height y (in feet) of a ball thrown by a child is 1 ,2 -x² + 4x + 3 16 where x is the horizontal…

A: Since, the height y (in feet) of a ball thrown by a child is:-y=-116x2+4x+3 -(i)where x is the…

Q: Sports. The path of a particular punt follows the quadratic function 8. (x+5)² +40 125 h(x) = %3D…

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A: Please see the diagram below

Q: Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the…

A: In this question we have graph the quadratic equation.

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 3 14 Y = where x is the…

A: Given: The height y (in feet) of a ball thrown by a child is y=-114 x2+4x+3 where x is the…

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 2x + 3 14 y = where x is the…

A: a) When the ball leaves the hand then x=0 At x=0 we find y y=-114x2+2x+3y=-11402+2(0)+3y=3   So the…

Q: The height y (in feet) of a ball thrown by a child is 1 x² + 2x + 3 14 where x is the horizontal…

A: Given the height y in feet of a ball thrown by a child is y=−114x2+2x+3       .......(1)

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Q: The function = - 2a – 16.47x? + 61.8936x + 4.94 is increasing on the open interval ( ). It is…

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Q: 13. Given that |z| = 3, the maximum value %3D of Iz - 2| is

A: By solving the equation |z| = 3 and putting the value of z in |z-2| we can get the maximum value of…

Q: The height y (in feet) of a ball thrown by a child is 1 y = + 2x + 5 16 where x is the horizontal…

A: The given equation, y=-\dfrac{1}{14}x^2+6x+3y=−1/16 x^2 +2x +5 where, x is the horizontal distance…

Q: You have land that you would like to use to create two distinct fenced-in areas in the shape given…

A: given : The length of fencing is 410 meter.  The two distinct fenced-in areas in the shape given…

Q: Ricky wants to fence three sides of a rectangular exercise yard for his dog. The fourth side of the…

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