he height of a ball launched in the air t seconds after it is launched is given by: f(t)= -16t^2+343t+7. The velocity of the ball at a height of 100 feet is

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A: x=3 corresponds to 2003.So, 2013 is 3+(2013-2003)= 3+10=13 year

Q: Find the interval in which the function given by y = 4x3 - 6x2 -72x + 30 is decreasing.

A: Given: y=4x3-6x2-72x+30

Q: What's the counterexample of |x+3|=|x|+3

A: Consider a equation: x+3=x+3……1   Now, counter example means to find a value of x for which above…

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: Given: The cost of inoculating x% of the susceptible population is given by the function:…

Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A: Given function: fx=x2+4x4-4x2+16 We know that, a3+b3=a+ba2-ab+b2.

Q: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

A: We can use the concept of maxima and minima to solve this question.  In order to get maximum profit…

Q: Q3// Find without calculator: Csc-(V2)

A: Given problem is  :

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A:

Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

A:

Q: Laura has a rectangular garden whose width is x3 and whose length is x4.In terms of x, what is the…

A:

Q: A manufacturer designs and sells each of the radios it produces for 75 soles. If x daily radii, then…

A: Since, the amount of the total daily cost of production is given by:-C(x)=x2+25x+96  -(i)Price of…

Q: Suppose that the daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the…

A: Given : The daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the average…

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A: The revenue function R(x,y) is a function in two variables. Hence the maximum revenue will be at a…

Q: The profit per acre from a grove of orange trees is given by x(190 – x) dollars, where x is the…

A:

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

Q: The length of a rectangle is 5 cm less than twice the width. Express as an integer the maximum width…

A: here, objective is to find the maximum width of the rectangle for which perimeter is less than 84c.m

Q: Solve f(-2) for f(x) = -5x-4 %3D f(-2) = [?]

A: Given f(x)=-5x-4 To find f(-2) Substitute -2 for x

Q: 2. f(x)= 7x2 -19x - 6 at (4, 8)

A:

Q: Calculate R4 (right endpoints) and L4 (left endpoints) for f(x) = 8x2 + 2x + 1 on (0, 2]-

A:

Q: Find a root of an equation f(x) = 0.582x³ - 0.437x + 2 using

A:

Q: Graph and label 2 points for eac 53.) f(x) =2 (x+2 if x< if x20 %3D

A: The given function is f(x)=x+2if x&lt;02x≥0   To graph: The given function f(x) and label any two…

Q: A farmer has 900ft of fencing and wants to fence off a rectangular vegetable field . What are the…

A:

Q: Find the break-even point F(x) = 40x^2 -60x +228 G(x) = 23x^2 - 20x + 3000 %3D

A: At break even point F(x)=G(x)

Q: f(x) = 4x° - 39x - 144x+5

A:

Q: Use quotient Rule: 2 6. y = X-3 5. У x2 –5x + 6

A:

Q: Ram has a rectangular garden that has a dimension 4x-5 feet by 3x+9 feet which has to be put fence…

A:

Q: Use the false position method in order to find the root of the function: fx) = -26 + 85x- 91x + 44x…

A: Given the given function is fx=-26+85x-91x2+44x3-8x4+x5 Starting interval is 0.5, 1.…

Q: Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle race. During…

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Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

A:

Q: revenue

A:

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x−14x−14 meters long.…

A:

Q: Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

A:

Q: Calculate R5 for f(x) = 4x² + 8x over [-1, 1].

A: The given function is, f(x)=4x2+8x The interval is [-1,1] that is, -1,-35,-35,-15,-,15,15,15,35,35,1…

Q: 10. f(x) = 2x3 – 9x² + 12x – 3 - -

A:

Q: Differentiate the equation. F(x)=x^4+3x^3+2x

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Q: Optimize the function 81x2+y2 subject to 4x2+y2=9

A: here we Optimize the function 81x2+y2 subject to 4x2+y2=9  F(x,y)= 81x2+y2  g(x,y) = 4x2+y2=9

Q: Find concave upward and concave downward of 6x^2-x^3

A:

Q: rectangular piece of cardboard, whose area is 264 square centimeters, Is made into an open box by…

A:

Q: find the vallue of X 3x° 2x0

A: Here we have to find the value of x and y.

Q: The total revenue​ (in hundreds of​ dollars) from the sale of x spas and y solar heaters is…

A:

Q: The total profit (in tens of dollars) from the sale of x hundred boxes of candy is given by P ( x )…

A:

Q: 2/ Find domain of y = x2-7x+10 x2–3x-5

A: on solving this we get

Q: Max Z = 3x1 + 182x2 %3D Subject to 9x +5x를 S 72

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Q: Two hot air balloons are traveling along the same path away from a town, beginning from different…

A: Given: Henry's balloon begins 15 miles from town and is 31 miles from town after two hours. The…

Q: Find two numbers whose sum is 11 and product is a maximum?

A:

Q: - f(x) = 4x² – 10z + 11, 0 < ¤ < 7.

A: fx=4x2-10x+11;0≤x≤7 Differentiate the above function with respect to x. f'x=ddx4x2-10x+11=8x-10…

Q: Find f(-3) whenf (x) = 2x2 +2

A: Solution of the problem as follows

Q: find max revenue for r(x)=352x-0.7x2

A: We have to find

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.