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Q: The height h in feet of a ball t seconds after being tossed upwards is given by the function…

A: The height h in feet of a ball t seconds after being tossed upwards is given by the function ht =…

Q: Find the domain of the function: h(x) = √(3x + 12)

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Q: For The Function Below, The points of „, intersection with the Cartesian axes are (бх — 7) y = (4x³…

A: Consider the provided equation, y=6x-74x3-9x2 The points of intersection with Cartesian axes are.…

Q: A manufacturer of a microwave ovens believe that the revenue R , And dollars, that the company…

A: Comparing this equation with

Q: Differentiate the function. f(t) =10 √t

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Q: The height in feet reached by a baseball tossed upward at a speed of 48 feet/second from the ground…

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Q: The volume, V, of a sphere in terms of its radius, r, is given by V(r)=43πr3. Express r as a…

A: Given that the volume, V of a sphere with radius, r is Vr=43πr3. Then, radius can be expressed as a…

Q: the height ( in feet) attained by a rocket t sec into flight is given by the function…

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Q: In the Andes Mountains in Peru, the number (N) of species of bats is the function of the elevation…

A: Given N=f(h) is the number of species of bats at an elevation h feet above the sea level

Q: The population in thousands of people of a small town can be modeled by the function P(t) = x2 - 25x…

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Q: The speed of a viral post is modeled by the function, Γ ( t ) = 3 squareoot 2t + 8e^t. If t is the…

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Q: Charmaine rented a truck for one day. There was a base fee of $9.25, and there was an additional…

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Q: coming year. Total profit from planting xj acres at farm j is expressed by the function P(x,, X2,…

A: profit = 235x1 + 540x2 + 252x3 - 525000 we are given that x1 = 300 x2 = 600 x3 = 450

Q: Given the function ,     y = 4x2 + 9 i- Find the difference quotient as a function of x and delta…

A: The difference quotient as a function of x and ∆x is: Difference quotient=f(x+∆x)-f(x)∆x The given…

Q: The value of Mr. Watanabe's stock portfolio is given by the function v(t)=50+731-3r², where v is the…

A: Here the value is given by the function v(t) = 50 + 73t - 3t2, we have to calculate the value of the…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the…

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Q: Complete the square to write the function given below in the form f(x) =a(x - h) + k. f(x) = 3x +…

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Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Find and provide a sketch of the domain of the function 2 y2 f(r, y) = 9. 4.

A: Given,  f( x,y)=1−x29−y24 To Find: Domain and sketch of the given function.

Q: Find the function r

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Q: Assume a box has a square base and the length of a side of the base is equal to twice the height of…

A: Volume of cuboid= lbh  surface Area=2(lb+bh+hl)

Q: find the function h such that h"(x)=36t2 + 24t - 4, h'(1)=-1and (-1)=1

A: Integrate the function                                                                    Find the…

Q: Find the domain and sketch the graph of the function. f(x) =2t+t2

A: Given: fx=2x+x2 we know that given function is a quadratic function whose constant term is zero we…

Q: Suppose the function y = VI , then write an equation for the given function, Stretch vertically by a…

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Q: Express the gross salary G of Jackie, who earns $15 per hour, as a function of the number of hours…

A: topic - functions

Q: A shipping crate has a square base with sides of length x feet, and it is half as tall as it is…

A: Square base, with sides of length x feet, and it is half as tall as its wide.

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the…

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Q: Graph the function f(x) = x after it has been vertically stretched by a factor of 4, and vertically…

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Q: The monthly profit, in dollars, of a company that sells a t-shirts is given by the function P(x) = 1…

A: The given question as belonging to the calculus in which application of derivative so we have to…

Q: Differentiate the function.  v = t2 - 1 / fourt root of t3

A: Given function is v=t2-1t34. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Lloyd and Randy are making a model rocket for a science project. On their first test run, the…

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Q: The depth in feet, D, of a scuba diver can be modeled by the function D(x) = -x + 12x + 4, where x…

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Q: Differentiate the functions. ?????? ?????????? ??  y=(1+t)²/t²

A: given function       y = (1+t)2/t2

Q: Rick's lumberyard has 380 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: The lumberyard is having 380 yd of fencing which means the perimeter of lumberyard is 380 yd. Length…

Q: h(t) = t³/ln t %3D

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Q: Rick's lumberyard has 380 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: Topic - functions and rectangle

Q: The height h in feet of a ball t seconds after being tossed upwards is given by the function…

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Q: The task is to determine and sketch the domain of the function In (b – a? + 4) g(a,b) = V36 – 4a? –…

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Q: The height h in feet of a ball t seconds after being tossed upwards is given by the function…

A: Find time when the ball reaches maximum height

Q: S(x) = /4x +1 (a = 0, b = 2) %3D

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Q: The rate, in calories per minute, at which a person using an exercise machine burns calories is…

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Q: The height, h, of a projectile above the ground t seconds after liftoff is given by the function,…

A: The height is given as :- h(t)=-3t2+72t   for 0≤t≤24 Time when the projectile reach its maximum…

Q: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives…

A: The revenue function is given as follows. RP=125P-0.25P2 Find the critical points as follows.…

Q: Complete the square to write the function in the form f(x) = a(x - h) + k. f(x) = x2 - 6x + 14

A: Given a quadratic equation and we need to find the square to write the function in the form…

Q: A swimming pool company is selling pools and offers building pools from 1 foot to 15 feet deep. The…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: Rick's lumberyard has 240 yd of fencing with which to enclose a rectangular area. If the enclosed…

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Q: The number of hours that people in the Philippines spent using the internet from 2000 to 2020 can be…

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Q: The profit from the production and sale of ipod players is given by the function…

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Q: write the function whose graph is the graph of y= the square root of x but is vertically stretched…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.