The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original orbit of radius 10 000 km can be modelled by the function E =2×101º[r-10000 where E is the energy, in r Joules, and r is the new radius, in kilometers. a) State the domain of the entire function. b) State the domain for the real-life situation. c) State the range of the entire function. d) State the range for the real-life situation.

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: Determine the missing coordinates of the points on the graph of the function.

A: The missing coordinates are given in the following graph as follows.

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A:

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A: From a 18 cm by 18 cm piece of cardboard, square corners are cut so that the sides can be folded up…

Q: Solve me! Answer with Solution: Problem #1: of the rectangular Field of VNHS Tawi-Tawi building that…

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A: Given the perimeter (or) Total length of fencing is 1000 ftFrom the given figure total length of…

Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

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A:

Q: Find the function f whose graph is obtained by shifting the parabola y = x 2 by 3 units to the right…

A: Given the graph of the parabola y=x2 is shifted by 3 units to the right and 4 units down shown in…

Q: Describe the behavior of the function h  around its vertical asymptote at x= -5 for the equation:…

A:

Q: A conservation commission estimates the reproduction function for rainbow trout in a large lake to…

A: Given:

Q: A county landfill has a maximum capacity of about 121,000,000 tons of trash. The amount in the…

A: (a) Find the slope and the y - intercept and then plot the equation for the function T(x).…

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

A:

Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: in this first we will find side of the box and then  Volume of the box = length × breath× height

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

A: Topic:- algebra

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A:

Q: A landscaping company charges $49 per cubic yard of mulch plus a delivery charge of $27. Find a…

A: Given A landscaping company charges  per cubic yard= $49 delivery charge =$27

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist?

A:

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: From a 27-cm by 27-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: , Consider the function f(x) whose graph is a parabola with a hole in it. Give the equation of this…

A:

Q: Graph the functions in excercise

A: Given function, y=x-13-1

Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Does the function g(x)=2-x  approach a certain real number as the value of x increasing positively?…

A: Given - g(x) = 2-x To find - Does the function g(x) approach a certain real number as the value of x…

Q: Match the function with the graph of its end behavion

A: We are given with the graph we have match and behavior of graph

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: The hypotenuse of an isosceles right triangle is to be made into a circle C. Express the area A of C…

A:

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: The amount of fencing required would be equal to the sum of length of all the sides including the…

Q: Determine the “y-intercept” of the Function (Assume that a graph continues at both ends if it…

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Q: ii) h(x) = e values for the functions along the interva

A:

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: Show that the equation y^2=x determines an infinite number of implicit functions.

A: Consider the given equation: y2=xSolve in terms of y:y=±xSo, there are two functions that can be…

Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z2 =…

A: This is a problem of 3 dimensional equation. Multi-variable calculus.

Q: Find the location of the indicated absolute extremum for the function. Maximum -1

A:

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Please refer the attached image for complete solution.

Q: From a 6-cm by 6-cm piece of cardboard, square IX corners are cut out so that the sides can be…

A:

Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.

Q: Express the solution as a piecewise-defined function and think about what happens to the graph of…

A: (c) In this question, we have to use the property of the Heaviside unit step function about t=5.…

Q: Suppose the quanity demanded per week of a certain dress is related to the unit price p by the…

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Q: Donna has 280 meters of fencing and wishes to enclose a rectangular field. Suppose that a side…

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Q: An island is 3 mi from the nearest point on a straight shoreline; that point is 6 mi from a power…

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Q: You want to build a pen for your new puppy, and you want to put it next to your barn. You have 200…

A: Draw the diagram of the pen for the puppy.

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

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.