Calculus question and answers for November 20, 2023
- Q 3. Graph: f(x)=e^(x+2). Determine the domain and the range. Use interval notation.Domain:_______Range:_______
- Q Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places.tan (33?) = ____
- Q A science fair poster is a rectangle 36 inches long and 24 inches wide. What is the area of the poster in square feet? Be sure to include the correct...
- Q 6. Firing a piece of pottery in a kiln takes place at different temperatures for different amounts of time. The graph below shows the temperatures in a kiln while firing...
- Q The graph of the cosine function is the same as the graph of the sine function translatedA) 90 to the rightB) 90 to the leftC) 180 to the rightD) 180...
- Q Solve the triangle if a = 23 ft, b = 58 ft and c = 67 ft.? = _____________________? = _____________________? = _____________________Assume ?? is opposite side a, ?? is...
- Q 2. Given H(x)=?(1-x), find functions f and g such that fog=H.
- Q Convert the angle 7?/6 from radians to degrees.______ degrees
- Q Find the domain and range of the function g(t) = ?(t - 4).
- Q The angle between 0 and 2? in radians that is coterminal with the angle 44?/9 in radian is;
- Q Solve the following equation for over the interval [0, 2?), giving exact answers in radian units. If an equation has no solution, enter DNE. Multiple solutions should be entered as...
- Q In a simple random sample of 1200 people age 20 and over in a certain country, the proportion with a certain disease was found tobe 0.100 (or 10.0%). Complete parts...
- Q Suppose is an angle such that cos(?)=-1/7If 2? <?< 3?then cos(?/2)=___and sin(?/2)=___
- Q All exponential functions can be written in many forms. Write the functionf(t) = 6100e????? in the form f(t) = ab?. Round all coefficients to four decimalplaces.f(t) = _____(_____)?
- Q 3. The maximum value of the function y = sin x - 6 isA 1B -5C -6D 5
- Q For the function f(x) = 12 sin x + 30, the value off (30) isA) 40B) 30C) 36D) 12
- Q Find the exact value.sin(17?12)a) Write the given angle 17?12 as a sum of two special angles Enter the combination with the smallest angle first. Enter the smaller angle on each...
- Q Use the graph to determine the limit. (If an answer does not exist, enter DNE.)(a) lim f(x)=_____ x->c+(b) lim f(x)=_____ x->c-(c) lim f(x)=_____ x->cIs...
- Q Determine the Cartesian equation of the plane.F= (0,0,3) + S(1,1,4) + t(-2,1,5), (S, t) ? R
- Q Solve the following system of equations using Cramer's Rule.3x + 2y +z = - 44x-2y+z = 54x - 4y +z = 0The solution is (Type integers or simplified fractions.)
- Q Determine whether f(x) approaches ? or -? as x approaches 6 from the left and from the right.f(x) = sec(?x/4)lim sec(?x/4)=_____x->6-lim sec(?x/4)=_____x->6+
- Q Consider the following function.f(x) =1/(x-5)Determine whether f(x) approaches ? or - as x approaches 5 from the left and from the right.(a) lim f(x)=_______ x->5-(b) lim f(x)=_______ ...
- Q Consider the following function.f(x) =1/(x - 2)Determine whether f(x) approaches ? or -? as x approaches 2 from the left and from the right.(a) lim f(x)=_______ x->2-(b) lim...
- Q Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.)lim (3 + 1/x)x?0-
- Q Complete the table. (Round your answers to four decimal places. Assume x is in terms of radian.)lim 4cos(x)-4/xx?0x -0.1 -0.01 -0.001 0 0.001 0.01 0.1 f(x)Use...
- Q Consider the following function.f(x) =1/(x-36)Complete the following table. (Round your answers to two decimal places.)x -6.5 -6.1 -6.01 -6.001 -6 -5.999 ...
- Q Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)lim (x - 8)/(x - 2)x?2 Write a simpler function that agrees...
- Q Determine whether f(x) approaches ? or - ? as x approaches 2 from the left and from the right.f(x) = tan(?x/4)(a) lim f(x)=_______ x->2-(b) lim f(x)=_______ ...
- Q What is the inverse of the following functions?f(x) = 6^xf(x) = 6^(x-1)f(x) = 1/2^x
- Q The graph of the function f(x) = - 3 ? can be obtained from the graph of g(x) = 3? by one of the following actions:(a) shifting the graph of...
- Q tan 8 =4/3 ? < 0 < 3?/2. Find the exact value ofb) cos 20c) sin20a) sin 20
- Q In Exercises 11-18, use the point on the line and the slope of the line to find three additional points through which the line passes. (There are many correct answers.)om...
- Q In Exercises 25-32, find the general form of the equation of the line that passes through the given point and has the indicated slope. Sketch the line by hand. Use...
- Q Let U= {1, 2, 3, 4, 5, 6, 7), A = {1, 4, 5, 7), and B = {1, 2, 4). Find the set (A U B)'.
- Q A pair of dice is rolled. What is the probability of getting a sum of 5?
- Q A survey of 100 people showed that 21 own a car, 68 own a bicycle, and 11 own both a car and a bicycle. How many people own a car...
- Q Let D={16,19,21), List the elements in the set DUE. E = {16,18,19,20) and F = {15,17,18,19,21).
- Q If the odds in favor of E occurring are 3:8, then find P(E) and P(E').
- Q Determine the value of c such that the function is a probability mass function.f={(3,0.26),(4,0.34),(5,0.2).(6,c)}
- Q Almost all companies utilize some type of year-end performance review for their employees. Human Resources (HR) at a university's Health Science Center provides guidelines for supervisors rating their subordinates. For...
- Q State whether the function is a probability mass function or not. If not, explain why not.p={(8,0.6), (9,0.8), (10,-0.4)}Select all that apply.A. p is not a probability mass function because it...
- Q At a computer store, a customer is considering 9 different computers, 10 different monitors, 6 different printers and 3 different scanners. Assuming that each of the components is compatible with...
- Q A true-false test consists of 9 questions. a) In how many ways can the test be completed, selecting true or false for each question? b) What is the probability that...
- Q A four-digit number starts with a number between 2-9 in the first position, with no restrictions on the remaining 3 digits.a) Find the probability that a randomly-chosen phone number contains...
- Q An election ballot asks voters to select five city commissioners from a group of twenty candidates. In how many ways can this be done?
- Q Determine the total number of subsets of the set of letters from the English alphabet (a, b, c,..., k).
- Q The probabilities of events E, F, and EnF are given below. Find (a) P(EIF), (b) P(FIE), (c) P (EIF'), and (d) P (FIE)P(E) = 1/4, P(F) = 2/3. P(E?F) =1/8a....
- Q Assume A and B are independent events with P(A) = 0.5 and P(B) = 0.8. Find (a) P(A n B), (b) P(AUB). (c) P (A' B'), (d) P (A'n B),...
- Q In a batch of 25 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 5 units to test. Let random variable X = the number of defective...
- Q Sample space S is partitioned into E? and E? such that P(E?) = 0.30 and P(E?) = 0.70. Let D be an event such that P(DIE?) = 0.25 and P(DIE?)...
- Q a) Which pairs of events are independent? Select all that apply.One card is randomly chosen from a deck of 52 playing cards. Let G = the event that the card...
- Q Jeanine Baker makes floral arrangements. She has 11 different cut flowers and plans to use 7 of them. How many different selections of the 7 flowers are possible? How many...
- Q You need to arrange nine of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes...
- Q In an experiment on social interaction, 4 people will sit in 4 seats in a row. In how many ways can this be done? There are ways.
- Q A room contains 4 people, each of a different age. The people leave the room in random order, one at a time. What is the probability that they leave the...
- Q An election ballot asks voters to select four city commissioners from a group of fourteen candidates. In how many ways can this be done? Four city commissioners can be selected...
- Q Find each coefficient described.1) Coefficient of x in expansion of (2 + x)?2) Coefficient of x in expansion of (x+3)?3) Coefficient of xy in expansion of (x-3y)?4) Coefficient of ab...
- Q This boxplot shows the sales of water heaters over one year at Hefty Water and Heating.What is the median number of water heaters sold in 2014?F 18G 20H 28J 34
- Q Expand completely.1) (2n+1)?2) (2m-1)?3) (v-2)
- Q Find an exponential regression curve for the data setx 0 1 2y 9 25 80An exponential regression curve for the data set is y=...
- Q Solve 2 sin (w) + 3 sin(w) + 1 = 0 for all solutions 0 ? W< 2?W=
- Q Without graphing the function y = 2 cos(- 8x), determine its amplitude and period.a)amplitude =___b)period =___
- Q Simplify to an expression involving a single trigonometric function with no fractions.(cos(-x)/ (tan(-x) +( sin(-x)
- Q Given u = 144i - 17j, what are the magnitude and direction of -3u? Round to the nearest whole number.145; 97
- Q Find a plane containing the point (-4,2,-2) and the line of intersection of the planes -5x + 6y-2z = - 86 and 7x + y - 4z= 18 ?
- Q Vectors r, s, t, u, and v are shown on the graph.Which of the following vectors is equivalent to 2/3 v?
- Q Indicate whether the graph specifies a function.The graph does specify a function.The graph does not specify a function.
- Q A good rule of thumb is to save 10 percent of what you earn, and have at least three months' worth of living expenses saved up in case of an...
- Q Given u = 8i - 4j, find -7u.
- Q Create a function of form f(x) = A sin(Bx - C) + D, where the values of A, B, C, and D are not equal to 1. Sketch an accurate...
- Q Create a real-world situation where you would need to calculate an arc length or area of a sector. Becreative! For example, you could calculate the distance between two cities on...
- Q A manufacture has been selling 1950 television sets a week at $540 each. A market survey indicates that for each $12 rebate offered to a buyer, the number of sets...
- Q Enter your response into the blank field using one word only._________income is the total amount of what you earned.
- Q Your expenses that change month to month are called ______ expenses.(A) Fixed(B) Variable(C) Tracked(D) Steady
- Q Given g(x) = -9.2f(-0.1x - 9) - 0.3 and f(1) = 4 Fill in the blanks: Round answers to 2 decimal places as needed g(___) = ______
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