Calculus question and answers for November 25, 2023
- Q Does the relation represent a function?No, because there is an input value that corresponds to more than one output valueYes, because the input values are all different{(2,5), (6,2), (15,8), (8,5)}Yes,...
- Q Does the relation represent a function?No, because r appears as both an input value and an output valueYes, because the ordered pairs are distinct{(p, q), (r,s), (p,r)}No, because the input...
- Q Does the relation represent a function?XyOYes, because the input values are distinctOYes, because the output values are distinct5310 104 11O No, because the input value 10 corresponds to two different...
- Q types of numbers that make up the set of real numbers:? Natural numbers: 1, 2, 3, 4, ... Integers:,-3, -2,-1,0,1,2,3,...?Rational numbers: ratios of integers.Examples:2***5--230.23 =100Irrational numbers: real numbers that cannot...
- Q #7 Write an algebraic equation to represent the given information. Let x be the first number and y bethe second number.a) the sum of the two numbers is 10b) the...
- Q Let f (t) be the number of ducks in a lake t years after 1990.a. What does the statement f (6) = 27 mean?There will be 27 ducks in the...
- Q #4: Find the slope and y-intercept of each line. Plot the y-intercept and use the slope to plot asecond point. Then graph the line.a) y = 2x - 1Yb) x+y=2slopey-intercept:a...
- Q An object oscillates as it moves alongthe x-axis. Its displacement varies withtime according to the equationx = 3 cos (8mt + 1)where t is in secondsWhat is the frequency of...
- Q Simplify.sin x/1 + cos x +1 + cos x sin x ___
- Q Evaluate the function at the indicated value.f(x=2x - 1/ 5x+4
- Q Solve the equation using U-substitution and enter the solution set below. Separate the solutions by a comma. Arrange thesolutions in order from smallest to largest. Do not insert any blank...
- Q How many significant figures are in the number 24.32?24.32 has [?] significant figures.
- Q Solve the equation. Enter your answer in solution set notation listing the solutions in order from smallest to largest separated by a comma. Do not include any blank spaces in...
- Q The equation describes a 3x2-y+z2(A) elliptic paraboloid(B) ellipse(C) one-sheeted hyperboloid(D) hyperbolic paraboloid(E) two-sheeted hyperboloid
- Q What expression is needed to write the equation as a quadratic equation?x10x +9=0Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.a u='xb...
- Q Which vocabulary word has the following origin?from Latin acad?miaA. persistentB. resilientC. eloquentD. academy
- Q Find the horizontal shift.y = -1 cos(1/4-?/6)
- Q Find the amplitude of the following function y = 3 sin x/ 5
- Q Consider the values shown. What place value must the answer be reported to?67.4+43 +30 + 42.10A. tens place B. ones placeC. tenths place D. hundredths place.
- Q Perform the following mathematical operation and report the answer to the appropriate number of significant figures. 7.273-12.37 = [?]
- Q What is the answer rounded to the hundredths place?9.3478 m+2.73 m12.0778 m?[?] m
- Q Find the amplitude (A) and the period (P) of the following function.y = 4 cos(4x)
- Q Round to 3 significant figures.12.750
- Q Round the number to 4 significant figures.46.7350Step 1: Identify the digit we need to check for rounding.What is the place value for the last significant figure in the answer?A. the...
- Q Now we need to decide if we round up or down. The 5 and zero after the last sig fig means we have to look at whether the last sig...
- Q Which of the following is an asymptote on the graph of the function y = cot x?-?/22?3?/2
- Q Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal...
- Q Which sentencebelow uses anincorrecthomophone?A. I try to work out atleast three days aweak.B. I try to be strong,but sometimes myemotions make meweak.C. School istraditionally in sessionfive days a week.D. Many...
- Q Round the number to 4 significant figures.46.73 50
- Q What is the amplitude of thefollowing function?y = - //2 COS X
- Q Find the amplitude of thefollowing function.5 sin xy = 5 sin7
- Q Which sentencebelow uses anincorrecthomophone?A. The morningdawned with a hint offall on the wind,rustling theunsuspecting leaves.B. The child had ahard time adjusting tothe death of his dog,mourning his loss formonths.C. It's...
- Q Three samples of granite weremassed. What is the total mass,reported to the appropriatenumber of significant figures?67.4 g +43.2 g + 27.3 g = [?] g
- Q Which poetic device is beingutilized in the followingexcerpt from Whitman'spoem?O the bleeding drops of red,Where on the deck myCaptain lies,Fallen cold and dead.A. personificationB. repetitionC. alliterationD. end rhyme
- Q Round the number to 3 significantfigures.0.2590100Step 1: Identify the place value we needto check for rounding.What is the place value for the lastsignificant figure in the answer?A. the tenthsC. the...
- Q What example of archaiclanguage is found in thefollowing line ofShakespeare's "Shall ICompare Thee to a Summer'sDay"?But thy eternal Summer shallnot fadeA. thyB. eternal.C. shallD. fade
- Q Round to 4 significant figures.9.87553
- Q The typical ShakespeareanSonnet containsA. 4B. 10C. 12D. 14lines.Shall I Compare Thee to aSummer's Day(Sonnet 18)by William Shakespeare1- Shall I compare thee to a Summer's day?Thou art more lovely and more...
- Q Round to 3 significantfigures.78.6500
- Q Round to 3 significant figures.1.235
- Q Which sentencecontainstransitionalwords orphrases?A. Read a non-fictionbook; you should learnsomething from it.B. If you read a non-fiction book, then youshould learnsomething fromreading it.C. You should learnsomething fromreading a nonfictionbook.D. Read a...
- Q Which areverticalasymptotes fory = sec x?AC-1, 1, 315TTBD5T-?, 7/37, 5331?, 4, 37
- Q Which sound device does thauthor use in the followinglines from the poem?And quench its speed i' theslushy sand.A. repetition (repeated words)B. assonance (repeated vowel sounds)C. onomatopoeia (words that imitatesounds)D. alliteration...
- Q What is the rhyme scheme ofthe first stanza in Whitman'spoem?A. aabbccddB. aabbcdedC. aabcddddD. aabbcccdO Captain! My Captain!Walt WhitmanHelp ResourcesO Captain! my Captain! our fearful trip is done;The ship has weather'd...
- Q Which sentencebelow uses anincorrecthomophone?A. She felt prettygrown up, now thatshe was finally foryears old.B. Don't forget tobring a check for thetotal amount of therepair on the car.C. I asked my...
- Q What is the rhyme scheme fo.the first four lines of a typicalShakespearean Sonnet?A. aabbB. abbbC. aaaaD. ababShall I Compare Thee to aSummer's Day(Sonnet 18)by William Shakespeare1- Shall I compare thee...
- Q How many periods of the functiony = sin x are there between-10 ?0 ? 6? ?[?]
- Q What is the rhyme scheme ofthe first stanza of EmilyDickinson's poem?I never saw a moorby Emily DickinsonI never saw a moor.I never saw the seasYet know I how the heather...
- Q Write the sum as a product:sin(20.9s) + sin(10.5s)For your answer, be sure to write all number in decimal format and not in fractional form. For example,135enteras 67.5,2
- Q Let P(x) represent the population (in thousands) in a region x years1980.Use function notation to represent that the population is 480,000 in the year2009.OP(29) = 480OP(2009) = 480OP(29) = 480,000since...
- Q Ann invested $12,000 in two bank accounts. One of the accounts pays 6%annual interest, and the other account pays 5% annual interest. If the combinedinterest earned in both accounts after...
- Q Factor the polynomial completely. Select all factors of the polynomial.a* - 64aMultiple answers: Multiple answers are accepted for this questionSelect one or more answers and submit. For keyboard navigation... SHOW...
- Q A rectangle has a perimeter of 24 inches. If the length is 2 inches longer than thewidth, find the dimensions (length and width) of the rectangle.Length =Widthinchesinches
- Q 2 points possible (graded)(OSCAGC07s01q070P)An investor earned triple the profits of what she earned last year. If she made $410000.96 total for both years, how much did she earn in profitseach...
- Q Find f'(x) and f'(c).Functionf(x) = (x + 4x)(3x + 3x - 2)Value of cc=0
- Q Convert the complex number from polar to rectangular form. Give exact solutioins.#18z = 2cis22X
- Q 4 + 6i- 6 + 5iWrite the answer in a + bi form.Simplify:
- Q There were 545 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 4times the number of students who failed.Find...
- Q A guitar factory has a cost of production C (x) = 80x + 54000, where x is the number of guitars produced. If the company needs to breakeven after 200...
- Q 2 points possible (graded)(OSCAGC07s01q572P)An investor invested a total of $57000 into two bonds. One bond paid 3% simple interest, and the other paid 2 % interest. The investor earneda total...
- Q Fill in the blank with the expression that results from performing the indicated operation. Use^ to denote an exponent. Do notinsert any blank spaces in your answer.a. (3x-4) (3x+4)= Write...
- Q PrecalculusConsider fx=2x-22+3.a. What are the coordinates of the vertex of thegraph of y=f(x)?a. The graph of y=f(x) can be obtained byshifting the graph of y=x2 to the(right/left) byunits andverticallygraph.(up/down) by__...
- Q A cell phone factory has a cost of production C(x) = 170x + 21600 and revenue function R(x) = 290x.What are the coordinates of the break-even point?
- Q Simplify each expression and enter its value in the blank.a. 14-71 +15-2| = Type your answer hereb. 18-(-2) 12-61 = Type your answer herec-1-3-11+17(-6) +12| = Type your answer hered.-19+38(-2)|-Type...
- Q 451 pointWrite an algebraic equation to represent the given information. Let x be the first number and y be the second number.The sum of the two numbers is 10.type your...
- Q Write the complex number in polar form. Give exact solutioins.#141212=cis(
- Q Given u = 30 (cos 60,sin 60).0), what are the magnitude and direction of ?4u?
- Q Let f(x) = - +5.#1) Evaluate f(3).f(3) =#2) Solve x for f(x) = 2.X=
- Q Let f(x) = 3x Find f(a+h)-f(a)a) 6a +3hb) 6a +3hc) 3hd) 3a + 3h
- Q Fide solutionA jeep and BMW enter a highway running east-west at the same exit heading in opposite directions. The jeep entered the highway 30minutes before the BMW did, and traveled...
- Q Fill in each blank with the appropriate number for solving the equation.?x+5-3=Xa. The solution of the equation is Type your answer hereb. The extraneous solution of the equation isType your...
- Q For the following exercise, evaluate each root.Evaluate the cube root of z when z = 8cis(77)
- Q Find a vertical line x = k that divides the area enclosed byx = ??y, x = 2, and y = 0 into two equal parts.
- Q Vectors u = -10i + 3j and v= -7i - 9j. What is u - v?
- Q Solve the equation and select the solution set.11823 +23 = 289Oa) {-7}Ob) (-3,7)Od {7}Od (-7,3}
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