The amount of money in an investment account can be modeled by th function K(t) = 25(1.15)2*. write an equivalent function of the form K(t) = ab. %3D K(t) Submit Answer attempt 1 out o

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A: The surface area of the balloon can be represented by S(r) = 4πr2 Radius of the balloon increases…

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A: Topic:- function and algebra

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Q: 3. Use the function g(x) = 2x- 3 to fill in the table below and graph. %3D a) What type of function…

A: Domain set of all input values where f defined Range set of all output values

Q: 3. The number of students infected with flu at Springfield High School after t days is modeled by…

A:

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A: given, P= 16 e0.03t at t = 15 years P = 16 e0.03*15 =25.09

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A: The given function is: f(x,y)=esin x y

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A:

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A: The increase in the rate of bacteria  population can be given by the function

Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of…

A: Height function

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A:

Q: Given the function g(x) = -x² + 6x + 15, determine the average rate of change of the function over…

A: The average of a function over an interval is given by . The given function is and the interval…

Q: The population of a bacteria culture was 2000 at 6 AM and was increasing at a rate of 10% per hour.…

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A:

Q: Consider the graph of f (x). What is the average rate of change of f (x) from x1 = 3 to x2 = 6?…

A: Find average rate of change for x1=3 and x2= 6.  And f(3) = 15 and f(6) = 9

Q: Find the average rate of change of g(x) 7x? + on x3 the interval [-3,3] Write your answer as a…

A: Topic:- average rate of change

Q: 4. When Greg dives from a platform with an initial upward velocity of 12 ft/s, his height h (in…

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A: *to find:- total runoff after 2 weeks.

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A: Given: A ball is hit upwards with an initial velocity of 128 feet per second.After t seconds, its…

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Q: Based on census data, the population of Freedonia is modeled by the function P(t) = 341t? + 32185…

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A:

Q: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

A: The height is given by the function  h(t)=56t-16t2 ..............(1)

Q: Differentiate and simplify this function:  e√t^2+t+1 - e-√t^2+t+1

A:

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A: Average rate of change of a function f(x) from x=a to x=b  favg =fb-fab-a

Q: NASA launches a rocker at t=0 seconds. its height, in meters above sea level, as a function of times…

A: Given:  h(t)=-4.9t2+349t+190 Since Rocket will splash down  ⇒h=0 ⇒-4.9t2+349t+190=0…

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A: You have posted multiple subparts. As per the instruction, we will be answering only the first three…

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Q: Differentiate the function.

A: As=-12s5⇒As=-12·s-5

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A: topic - average value of a function note : As per bartleby guidelines, we are supposed to answer…

Q: 1. The number of students infected with flu at Woodrow Wilson school after t days is modeled by the…

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Q: See photo attached, thank you.

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Q: Consider the graph of f (x). What is the average rate of change of f(x) from x¡ = 4 to x2 = 7?…

A: Find the solution below

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A: NOTE: Refresh your page if you can't see any equations. . to find the rate of change, take the…

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A:

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.