Calculus question and answers for February 03, 2024
- Q Give the equations of any vertical horizontal or oblique asymptotes for the graph of the rational function x2 5x 6 2x x 21 f x OA There is one vertical...
- Q K For the given function find all asymptotes and the coordinates of any holes in its graph 3x 1 f x 5x 12x 9 OA There is one vertical asymptote...
- Q For the given function find all asymptotes and the coordinates of any holes in its graph f x X 7 x 49 complete your choice A There is one vertical...
- Q domain of f f x 1 5x 3x 3 complete your choice A There is one vertical asymptote Its equation is x 1 Type an equation Use integers or fractions...
- Q Suppose that a population of bacteria triples every hour and starts with 500 bacteria Find an expression for the number n t Use it to estimate the rate of growth...
- Q Graph the following rational function by hand Give the domain and range and discuss symmetry and any asymptotes f x 10x Choose the correct graph below OA OB The domain...
- Q The gas law for an ideal gas at absolute temperature T in kelvins pressure P in atmospheres and volume V in liters is PV nRT where n is the number...
- Q Select all that apply DA f x B 1 x c f x 2x 1 X 8 DD f x a graph that does not have a vertical asymptote
- Q domain of f f x 2 X 3 asymptotes for the graph of the rational function State the Identify any vertical asymptotes Select the correct choice below and if necessary...
- Q if x y
- Q Consider a generic quadratic function f x ax b c with characteristics described below Determine the domain and range of f The vertex of the graph of is 24 6...
- Q a lim f x X 2 b lim f x X 0 a Find lim f x or state that it doesn t exist Select the correct choice below and...
- Q Differentiate the function y y In ex xe x
- Q 4 Find f 4 if f x 5 6x f 4 Simplify your answer Type an integer or a fraction
- Q Find f g x and g f x f x x 1 g x 12x 5 f g x g f x
- Q In 4 5x find f 0 e 1 25 Enter a number
- Q Differentiate the function f x sin 9 In x I 9 cos 9In x f x cos X
- Q a fog b gof a y ATL Simplify your answer 2 b gof x x 2 Simplify your answer The domain of fog is 4 00 Type your answer in...
- Q J and g given by the following graph 6 2 19 6 8 10 12 Let F z f g z a Find F 1 and F 8 b Use...
- Q y x8x y x 8e8x ln x 8eln x in x Enhanced Feedback Please try again First take the logarithm on both sides to get an expression for In y...
- Q Find and simplify the difference quotient f x 7 OA 1 OB 0 O C 1 OD 7 h f x h f x h 11 h 0 for the...
- Q a fog b gof a fog x x 2 Simplify your answer b gof x x 2 Simplify your answer c fof The domain of fog is 4 00 Type...
- Q Find and simplify the difference quotient f x 7x O A O B OC 1 OD O 1 7x x h 1 x x h f x h f x...
- Q Differentiate the function G y 2y 1 G y In 2 y 1 2y 1 4y y 6 2 2 y 1 X
- Q Explain how the graph of the function f x give the domain and range To obtain the graph of f shift the graph of y down Graph the function f...
- Q Let f x cos x sinx a Find the absolute minimum and maximum values of on 0 27 This is asking for the minimum and maximum y values b Find...
- Q Find y and y y In sec 2x tan 2x y 2 sec 2x X y 4 sec 2x tan 2x X
- Q Use the graphs of the rational functions in A to D on the right to answer the question Give all possible answers as there may be more than one correct...
- Q For f x x 3 and g x 4 x find a fog x b the domain of fog a fog x x 7 Simplify your answer b What is...
- Q 6 A car has a 16 gallon fuel tank When driven on a highway it has a gas mileage of 30 miles per gallon The gas mileage also called fuel...
- Q lain how the graph of the function f x 2 can be obtained from the graph of y Then graph f and give main and range To obtain the graph...
- Q What is the largest open interval over which f x increases decreases and is constant What is the largest open interval over which f x increases Select the correct choice...
- Q Charlotte Mecklenburg Schools 7 Noah is helping to collect the entry fees at his school s sports game Student entry costs 2 75 each and adult entry costs 5 25...
- Q What is the equation of the vertical asymptote of the graph of y horizontal asymptote 1 What is the vertical asymptote of the graph of y X 4 The equation...
- Q Find the dimensions of the rectangle with perimeter 1360 centimeters and maximum area length width area centimeters centimeters What is the maximum area square centimeters
- Q feet of fencing find the dimensions that maximize the area of the pen using all of the available fencing material Pen 1 Let w be the width of the enclosure...
- Q K For f x a fog 6 X 5 Type your answer in interval notation Use integers or tractions for any numbers in the expression Sim your answer 5 and...
- Q What is the domain of x What is its range The domain of f x Type your answer in interval notation
- Q Determine the slope of the tangent to the graph at x 4 Determine Y 8 dy dx for Determine the slope of the tangent to the graph at x 4...
- Q 5 The area A of a rectangle is represented by the formula A lw where I is the length and w is the width The length of the rectangle is...
- Q The derivative of a function f in terms of a limit is defined by which of the following lim f x h f x h 0 h lim x h...
- Q Find equations of the tangent lines to the curve y at the point 1 0 nt at the pointe y 7 In x X Illustrate by graphing the curve and...
- Q A curve passes through the point 0 7 and has the property that the slope of the curve at every point P is twice the y coordinat of P What...
- Q A fireplace arch is to be constructed in the form of a semiellipse The opening is to have a height of 3 feet at the center and a width of...
- Q Differentiate the function F t F t In 5t 1 4 2t 1 5
- Q Find y and y y y y In x 8 x
- Q If f x In 4 e5x find f 0 f 0
- Q Find y and y y y y In sec 2x tan 2x
- Q Convert general form to standard form General form 4x 9y 48x 72y 144 0 y k E Standard form h k D E x h D 1
- Q A satellite dish is the shape of a paraboloid The dish is 38 inches wide and 10 inches deep How many inches should the receiver be located from the vertex...
- Q Determine the location of the focus and the directrix of the parabola y 6y 8x 23 0 Focus Select Directrix Select Select
- Q Perform the subtraction and find the difference 2x 0x 12x 2x 8x 6x Ax Bx A type your answer B type your answer
- Q The annual consumption of beef per person was about 64 5 lb in 2000 and about 60 3 lb in 2008 Assume B t the annual beef consumption t years...
- Q Select all the correct answers Which statements are true about function g g x 000 www 9x 27x 25 2 x 2 Function g is increasing over the entire domain...
- Q Let f x x x Find f 4
- Q Problem 4 Let f x tan x Find f 3
- Q Problem 1 Find the value of y when x 0 if xy ey 7 e
- Q Problem 5 Let f x x x Find f 4
- Q Problem 2 If f x x x x 5 and f 1 2 find 1
- Q Problem 3 Let f x ln 1 g x where g 8 x 8 Do not include y in your answer e5 1 and g 8 2es Find the equation...
- Q Let I S e e 2x 1 Then for an arbitrary constant c the value of J I equals a log 2 e4x x 1 2x b log 1 c...
- Q 3 Let f t cos t sin t For each a 4 define Ra to be the region between the graph of f and the t axis and between the...
- Q Between 2006 and 2016 the number of applications for patents N grew by about 4 2 per year That is N t 0 042N t Find the function that satisfies...
- Q The amount of carbon 14 present in animal bones after t years is given by P t Poe 0 00012097t A bone has lost 36 of its carbon 14 How...
- Q Find the parabola with equation y ax bx whose tangent line at 1 2 has equation y 4x 2 a E b
- Q 1 1110 6 The graphs of the function f x given in blue thinner and g x given in red thicker are plotted above Suppose that u x f x...
- Q Suppose that f x 5e ex Find f 3 f 3
- Q Differentiate F y 9
- Q Consider f x 14 e A Find the slope of the graph of f x at the point where the graph crosses the x axis slope B Find the equation...
- Q Find the equation of the tangent line to the curve y 9xe at the point 0 0 The equation of this tangent line can be written in the form y...
- Q if f x x5 5e find f 4 f 4 Use this to find the equation of the tangent line to the curve y tangent line can be written in...
- Q The following table gives the values for functions f and g and their derivatives for integer values of x between 1 and 5 X 1 2 3 4 4 f...
- Q Let f x 6e e 0 B
- Q if f 5 7 g 5 2 f 5 8 and g 5 5 find the values of the following a fg 5 b f g 5 c g f...
- Q Differentiate Tal P a 9
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