Basic Math question and answers for April 02, 2024
- Q Determine whether the relation represents y as a function of x.Domain, x Range, y-2 ...
- Q Does the table describe x as a function of y? Does the table describe x as a function of y?A Yes, each output y is assigned to exactly one input...
- Q In 4-card poker, each player is dealt 4 cards (go figure) from a standard deck of 52 cards.A total of _____ different hands can be dealt.
- Q Tell whether the statement is true or false. If false, tell why. The tangent and secant functions are undefined for the same values. Choose the correct answer below.a. True.b. False....
- Q Construct a truth table for ~p<--> q. Use T for true and F for false.p q ~p<--> qT TT FF TF F
- Q Evaluate and write your answer in a + bi form.[2(cos 50 + i sin 50)]6 =
- Q Rewrite the Cartesian equation x = -5 as a polar equation.r(?) =Enter theta for ? if needed.
- Q The flux of the vector filed F=xi+ yj + zk flowing out through thesurface of the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 a>b>c>Ois(a) ?abc(b) 3?abc(c) 2?abc(d) 4?abc
- Q Problem 1. A function f is given, and the indicated transformations are applied to its graph. Write an equation for the final transformed graph. Graph the function after the transformation1....
- Q Given that f(x) = 3x + 4 and g(x)=x^3, find (fog)(-4).(fog)(-4)=
- Q Given that f(x)=x-15 and g(x)=5-x, find (f - g)(6), if it exists.Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. (f-g)(6)=___ (Simplify...
- Q The points A, B, C, ..., G, and H are equally spaced along the rational number line to the right. Complete parts (a) through (d) below.(a) What rational number corresponds...
- Q All three reciprocal functions do not have an amplitude. This statement is:a) always trueb) never truec) true for two of the three reciprocal functionsd) true only for one of the...
- Q Given that g(x)=x, find (gog)(2).(gog)(2) = (Simplify your answer.)
- Q (3) Identify the domain and range of the relation, and determine whether the relation is a function {(-7, -12), (-3, -5), (1, 16), (8, 18)}(A) Domain: {-7, -3, 1, 8);...
- Q The range for the function f(x) = -3 sin x is:a)Range: {y|-2 ? y ? 3, y ? R}b)Range:{y|0 ? y ? 3, y ? R}c)Range: {y|2 ? y ?...
- Q 2. Using the Lagrangian method without slack variables find the minima of:f(x,y)=4x-5xy+3y +8x+7y-8.listing all the KKT conditions applicable to this problem. The linear constraints are given below, one of which...
- Q Determine the interval(s) where the graph of thefunction is decreasing.(-1,-3)(-3,-1)(-?,00)(-3,-2)(-3, -1), (-2, -3)
- Q Times interest earnedAverill Products Inc. reported the following on the company's income statementin 20Y8 and 20Y9:InterestexpenseIncome beforeincome taxexpense20Y920Y8$470,000 $410,0005,311,000 4,141,000a. Determine the times interest earned ratio for 20Y8 and 20Y9....
- Q The function f(x) = x+8/x-4is one-to-one. For the function,a. Find an equation for f-1(x), the inverse function.b. Verify that your equation is correct by showing that f(f-(x)) = x and...
- Q Find the domain and range of the relation R given below:R=((18,4),(-25,20),(-10,-14),(19,-27))The domain is: {The range is: (
- Q Describe all the numbers that are in the domain of f(x) = ?3+5x
- Q 8. The equation of an exponential function is given as f(x) = -2(4)^3x-15 +6.a) State the base function and describe the transformations that were applied to thefunction f(x) = ab^x...
- Q A function is given by the equation f(x) = 2(x - 1) +3. Answer the followingquestions. Show all your work/calculations!a) Determine the value of f (4).b) Determine the value of...
- Q (a) A consultant wants to ask workers at a factory about the workers' job satisfaction. Which of the following best describes a stratified sample of workers?The consultant forms groups of...
- Q (a) A city manager wants to poll residents about a park renovation. Which of the following best describes a cluster sample of residents?The city manager forms groups of 12 residents...
- Q 1.Consider functions f(x) = 1/x+1 and g(x) = 2?x-x. Compute derivative for each of the following functions.(a) f+g(b) f.g(c) f/g(d) z = f(g(x))(e) z = g(f(x))
- Q According to lecture, which of these is a function of political parties? provide a certain ideologyrecruiting candidates and running electionspolicy formulation and promotion (governing)unity/linkage/accountabilityAll of the above are functions of...
- Q For the functions f(x) = x - x - 6 and g(x) = x ? 3,(f/g)(x) would be equal to:a) (f/g) (x) = x ? 4x ? 3x +9b) (f/g)...
- Q For the functions f(x) = 3x - 5 and g(x) = x + 1, find (fog)(x):a) (fog)(x) = x + 1b) (fog)(x) = 3x - 5c) (fog)(x) = 3x -...
- Q What type of reflection symmetry does the graph of f(x) = cosx display?a) reflection in the line y = xb) reflection in the y-axisc) reflection in the x-axisd) reflection through...
- Q (f/g) (x) and (g/f) (x) are the same function. This statement is:a) true for most functions f(x) and g(x)b) false for most functions f(x) and g(x)c) always trued) always false
- Q For the functions f(x) = x - x - 6 and g(x) = x - 3, (fg)(x) would be equal to:a) (fg)(x) = x + 2b) (fg)(x) = x +...
- Q For the functions f(x) = sin x and g(x) = cos x,A) (f/g)(x) = cosxB) (f/g)(x) = tan xC) (f/g)(x) = sin xD) (f/g)(x) = sin x cos x
- Q Given the functions f(x) = x + 2 and g(x) = x ? 12x + 1 what is the range of (g + f)(x) ?a) R = {y y ?...
- Q For the function (f/g)(x), where (x) = 3x + 5 and g(x) = log?x the restriction on the domain would be:a) x > 0, x ? 1b) there is no...
- Q If r(t(x)) = t(x) then r(p) = p. Assuming that t(x) is not the zero function and p ? Range(t(x)).a) This statement is always true.b) This statement is sometimes true.c)...
- Q The sum of two linear functions is:a) may be a linear or horizontal line.b) always a horizontal linec) always linear function.d) always vertical line
- Q For f(x) = 5x - 1 and g(x) = 6x - 4, (f- g)(3) is:a)-64b) -36c) 64d) 36
- Q For two functions, f(x) and g(x)g(f(x)) = f(g(x))a) This statement is always true.b) This statement is sometimes true.c) This statement is never true.
- Q For f(x) = x + 2x ? 2, what value of g(x) gives ( g)(3) = 11?a)-11b) -2c) 11d) 2
- Q Determine the composite function fog and gof.For each composite function state the domain and range.a) f(z)-5-1-2x - z and g(z) 1-6zb) f(z) 3 and g(z) = log(z)c) f(x) = sin(z)...
- Q ( + g)(x) and (g + f)(x) are the same function. This statement is:a) true for most functions f(x) and g(x)b) false for most functions f(x) and g(x)c) always trued)...
- Q (f g)(x) and (g f)(x) are the same function. This statement is:a) true for most functions f(x) and g(x).b) always true.c) always false.d) false for most functions f(x) and g(x).
- Q Use the vertex of the graph of the quadratic function and the direction the graph opens to find the domain and range of the function.Vertex: (7,3), opens downDomain: Range:
- Q Suppose that f is a function given as f(x)=x + bx + cx Find the exact values of b and c if we know that the line y =4x-4 is...
- Q 2. Determine the equations of the vortex lines when the velocity vectorof the flow field is given byi(Az - By) + j (Bx - Cz) + k(Cy-Ax)
- Q Population Growth in Clark County A certain county in Nevada is one of the fastest-growing metropolitan areas in the United States. The population of this county from 1 approximated by...
- Q Let f(x) be a function such that f(2) = 1 and f 0 (2) 3. (a) Use linear approximation to estimate the value of f(2.5), using x0 = 2 (b)...
- Q A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equations, in millions of dollars,...
- Q Suppose Cineplex at Masonville Place can sell out a 300-seat theatre when tickets are sold for $24. For each $3 increase, 15 less tickets will be sold. Use a quadratic...
- Q Graph y = -2(x+3) +7 using transformations.Remember to show your work
- Q A rectangular lot is bordered on one side by a stream and on the other three sides by 600 m of fencing.Determine the dimensions of the lot if its area...
- Q What is the time value of the following CALL option? S 43.35 X 42.50 CALL 5.84 4.35 0.85 4.22 4.65 4.99
- Q A call option written against stock owned by the writer is said to be in the money. covered. out of the money. naked.
- Q In a gambling game, a woman is paid $4 if she draws a five, a three, or a nine and $5 if she draws a ten, a six, or a...
- Q The function has an inverse f(a) defined on the domain x < 5. Find the inverse. Provide your answer below: f(x) = 5??x+13+5 f'(x) = x>-13
- Q Find the values of x for which the following equation is true. |x| = 1 For what values of x is this equation true? (Use a comma to separate answers...
- Q If f(x) = 4x - 9 and g(x) = 3x + 4, what is (fx g)(-2)? 34 17 70 36
- Q If f(x) = log? x and g(x) = 2^x, what is (g f) (8) ?Round your answer to two decimal places if needed. Upload a picture of your workYour Answer:
- Q 1.Given f(x) = x - 1 and g(x) = x + 3, fill out the table below. Sketch h(x), j(x), k(x), and 1(x) in the set of axes below. Make...
- Q 1. As a tornado moves, its speed increases. The function S(d) = 93logd + 65 relates the speed of the wind, S, in miles per hour, near the centre of...
- Q Find the inverse of the function f(x) = 6x-5/ 2x+3
- Q The function f(x) =8x/x+3 is one-to-one. Find its inverse and check your answer.
- Q The domain of f(t) is [-10,10], and its range is [-3,2]. What are the domain andrange ofa. f(2t)b. f(t/2)c. 0.2f(t) +3d. 0.2f(-2t+2)+3
- Q Consider the functions f(x) = |x| and g(x) = 0.1 |x|.(a) Sketch the graph of the pair of functions using a standard window.(b) Describe the transformations used to obtain the...
- Q Determine the rate of change of f(x) = x/x-3 on the interval -5? x ?10Enter you answer in the box below and round to two decimal places.
- Q Give the domain for r(x): x+5/x-14x+40 in interval notation.
- Q Sketch the graph of y = g(x) by transforming the graph of y = f(x). Next, determine the horizontal asymptote by taking the limit of g(x). Then select the correct...
- Q Give the domain of each of the following functions in interval notation.g(x) = -7 /25-xp(x) = -3/49 + x
- Q Find the domain of the function in interval notation: f(x)=?x + 7
- Q Finding the Domain of Radical FunctionsDetermine the domain for each of the following functions. Write your answer in Interval Notation and as an Inequality.Radical Function ...
- Q How many of the following are 1-1 functions:x + y = 1{(2, 1), (-2,3), (5,7), (2,3)}x = y + 1x = y + 1THREEALL FOURONENONETWO
- Q Give the domain of p(x) = - 3x + 5x/ ?-14-x in interval notation.
- Q If f(x) = 6x-9 and g(x)=x+9/6(a) f(g(x)) =(b) g(f(x)) =(c) Thus g(x) is called an_____function of f(x)
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