The number of lumens (time rate of flow of light) L from a fluorescent lamp can be approximated by the model L=-0.294x² + 97.744x – 664.875, 20

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Write the equation for the graph of y=x^3 that is shifted 5 units to the left, reflected across the…

A:

Q: T represent the number of years in 2000. I’m 2005 t= 5 there were 9.3 billion monthly text messages.…

A: Given function :

Q: 9.

A:

Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

A:

Q: What is the graph of y=(1/3) ^x?

A: As x approaches to infinity then limit of  y=(1/3)^x will be 0. So  optin A and option D are…

Q: Neglecting air​ resistance, the distance, s(t) in feet traveled by a freely falling object is given…

A:

Q: could I please get help on A and B

A: Also,

Q: A ball falls from a cliff at a height of 425 m. The ball's height, h. in metres above the ground…

A:

Q: I need to graph the function y=4^x

A: We have to draw the graph of the function y = 4x

Q: A punter in football kicks a football high in the air. The height of the football can be given by…

A: A. Consider the given function, hx=-0.009x2+1.61x+2 Substitute x=0 to get the initial height of the…

Q: As the growing season resses, the food supply available to an ant colony is given by F= 140 - 3…

A: Given Food supply function F=140+3t Food requirement function R=2201+2e-0.2 t Where F and R are in…

Q: A study of driving costs of 2015 model sedan cars found that the average cost (car payments, gas,…

A:

Q: Fix=x^2-1  sketch the graph of the function

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Q: Find the enclosed area of the following lines and curves. Graph the given functions and properly…

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Q: The function y = x^3 has undergone the following transformations. Write the equation. a. reflected…

A:

Q: Match the following graph with its function. A. y = 3(0.5)^xB. y = 2( 1.2)^xc. y = 0.5(3)^xD. y =…

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Q: One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of…

A: The quadratic equation, y=ax2+bx+c can be expressed in the vertex form as y=a(x-h)2+k, where, the…

Q: Find the speed v, in miles per hour, that will minimize costs on a 115-mile delivery trip. The cost…

A: Let t be the time that driver drives. Let d denotes the distance of the trip. As, it is known that…

Q: You have been assigned the task of designing an oper-top right circular tank with a volume of 800…

A: Given a circular tank means a cylindrical tank which is open from top. So, let r be the radius of…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.