A study showed that the productivity of a worker after   t   hours on the job can be modeled by :                      P(t) = 27t + 6t 2 – t 3              Domain :  0 ≤ t ≤ 8   P = number of units produced per hour   When is the worker most productive ? During what interval(s) is his productivity increasing ? Graph the function.

Q: The average cost per hour in dollars of producing x riding lawn mowers is given by the following.…

A: We have to find - the number of riding lawn mowers to produce in order to minimize average cost,…

Q: Let f (x) =2.5 * xsqrt2 − 4.7x. Find the equation of the secant line on the graph of f(x) between…

A: Concept: Equation of the secant: The equation of a secant line given two points (a, b) and (c, d) is…

Q: According to one model of bird flight, the power consumed by a pigeon flying at velocity v (in…

A: The power consumed by a pigeon at velocity (v) is given as,

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: To find the maximum revenue and items to be sold to obtain maximum revenue.

Q: I. Sketch the graph of the following 1. f(x) = 22r-1 2. g(x) = A

A:

Q: Q3/ Sketch the graph of f(x) = x+1

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Q: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

A:

Q: using​ INTERSECT, approximately ___ minutes need to elapse before the pizza is 170°F.

A:

Q: The profit from producing n quilts per year is given by the function P(n)=−15n^2+270n−840, where P…

A:

Q: If the sales per day of a start-up company can be modeled using the function s(d) = d° + 10, what is…

A:

Q: A molecule is moving along the x-axis such that at any timet > 0 (in seconds), its position from the…

A: Position of molecule from the origin at any time t is given as:

Q: let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q…

A: Check point of discontinuity and find q. Then using given intercept point find p.

Q: Find the point on the graph of the function x = √10y that is closest to the point (0, 4)

A: The given function and point are x=10y and (0, 4) respectively. The graph of the function x=10y is:…

Q: Let f(x) = -0.4x² + 6x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A:

Q: Investigate for maxima and minima the function $(x)=[{2(--1)(t–2) +(»-1°(r-2)"}at |

A:

Q: 6. Dharma graphed the parent function f(x) = x and h(x) on the same grid. If h(x) is steeper than…

A: The function f(x)=x represents linear equation. So, the graph of f(x) should be a straight line. If…

Q: Consider f(x)=ax3+bx2+cx+d Under what conditions on a,b,c,and d does the graph of a cubic function…

A:

Q: 61. If f(x) = 2x² + 5 and g(x) = 3x + a, find a so that the graph of fo g crosses the y-axis at 23.

A: f(x)=2x2+5g(x)=3x+a

Q: For Exercise, identify the location and value of any relative maxima or minima of the function. 2 y…

A: A relative maximum is a point where a curve goes from increasing to decreasing.  A relative minimum…

Q: What is the graph represented by the function f(t) = t + (t - 2)u(t - 1)

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Q: A D Function "p" is in the form y = ax2 + c. If the values of "a" and "c" are both less than 0,…

A:

Q: Let f(x) = 6.3x² - 2.4x. Find the equation of the secant line on the graph of f(x) between *₁ = 3…

A: We can find the answer in the following steps.

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) the number of thousands of…

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Q: What is the minimum of the function y = -a + 3x for a <-1? %3D -4 -2 04 O2

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Q: Let f(x)=5.9x^2-4.5x. Find the equation of the secant line on the graph f(x) between x1=6 and x2=12.…

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Q: r f(x)=x^2/(1+x), determine the concavity of the graph o

A:

Q: The parking costs in a city garage are $2 for the first half hour and $1 for each additional half…

A:

Q: Find the point on the graph of the function y = 4 - x2 that is closest to the point (0,2)

A: Find a point (x, y), closest to the function.

Q: 2. How does the graph of f (x) =- Vx+4 – 3 differ from the graph of y = - VX?

A:

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

A:

Q: Find the points on the graph of the function f that are closest to the point (a, b) by minimizing…

A:

Q: If a baseball is projected upward from ground level with an initial velocity of 32 feet per​…

A: When we throw a ball upwards, that ball goes and goes up, at a certain level of height, the thing is…

Q: The altitude (in feet) of a rocket t sec into flight is given by s = f(t) = −t 3 + 54t 2 + 480t + 6…

A: We have to find point of inflection where graph changes their sign like increasing to decreasing or…

Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) - 0.01q? + 5q – 25, where q…

A: (A)

Q: 2 Q5 / Sketch the graph of function y = =+ 3x

A: Given function is y=2x+3x Domain : ℝ-0 where ℝ denotes the set of real numbers  Range : (-∞,…

Q: Use the leading-term test and your knowledge of y-intercepts to match the function with one of the…

A: Given the function fx=x5-x4+x2+3 To find out the graph of f(x) from the following options

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

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Q: If a projectile is fired straight upward from the ground with an initial speed of 128 feet per​…

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Q: The productivity of a worker after t hours on the job can be modeled by the function, P(t) = 9t +…

A:

Q: 5 .4 .3 :2 ÷7 -6 –5 -4 -3 –2 -1 1 2 3 4 6 7

A:

Q: Draw the graph of f ( x ) =3 x2+5 x−4 for a. From the graph, identify the values of x when f (x)=0.…

A: Follow the steps below to plot the graph of y=f(x) . Take arbitrary integers for the values of x…

Q: A company that produces cellular phones analyzes its production and finds that the profit P (in…

A: Given:Profit Function:

Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: 6. Determine the x-intercept(s) and the y-intercept of the function f: R R, f(r) = 3x-2 and sketch…

A: See the attachment

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: Q1. Determine whether this is a quadratic spline function T € (-00, 1] f(x) = {-(2 – x)² + T € [1,2]…

A:

Q: The population of Sasquatch in Portage County is modeled by the function  P(t) =150t/t+12  where t =…

A: To convert the giv en word problem into an inequality and solve the same

Q: Sketch the graph of f(x)=(x+2)³/²+1 stretch vertically by factor of 3.

A: Given: The function is, fx=x+23/2+1

Q: Sketch the level curve of the function g(x, y) = x + y? for c 36. 4- -10 -9 -8 -7 -6 -5 -4 -3 -2 -…

A: Level curve

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.