Limits & Continuity Questions and Answers

Find the amplitude of the following function y = 3 sin x/ 5

Consider the values shown. What place value must the answer be reported to? 67.4+43 +30 + 42.10 A. tens place B. ones place C. tenths place D. hundredths place.

Perform the following mathematical operation and report the answer to the appropriate number of significant figures. 7.273-12.37 = [?]

What is the answer rounded to the hundredths place? 9.3478 m +2.73 m 12.0778 m ➜ [?] m

Find the amplitude (A) and the period (P) of the following function. y = 4 cos(4x)

Round to 3 significant figures. 12.750

Round the number to 4 significant figures. 46.7350 Step 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 thousandths C. the tenths B. the hundredths D. the ten thousandths

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 fig itself is odd or even. Even = round down. Odd = round up! What is the answer rounded to four significant figures?

Which of the following is an asymptote on the graph of the function y = cot x? -π/2 2π 3π/2

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 place. Below, enter your answers so that ZA₁ is smaller than ∠A2.) b = 45, C = 43, ZC= 35° ∠A₁ = ∠B₁ ∠A2 = 0

Which sentence below uses an incorrect homophone? A. I try to work out at least three days a weak. B. I try to be strong, but sometimes my emotions make me weak. C. School is traditionally in session five days a week. D. Many employers pay their employees every other week.

Round the number to 4 significant figures. 46.73 50

What is the amplitude of the following function? y = - /²/2 COS X

Find the amplitude of the following function. 5 sin x y = 5 sin 7

Which sentence below uses an incorrect homophone? A. The morning dawned with a hint of fall on the wind, rustling the unsuspecting leaves. B. The child had a hard time adjusting to the death of his dog, mourning his loss for months. C. It's a beautiful mourning here in the city -- a great day for the celebrity baseball game. D. I went into mourning right after my grandfather passed away

Three samples of granite were massed. What is the total mass, reported to the appropriate number of significant figures? 67.4 g +43.2 g + 27.3 g = [?] g

Which poetic device is being utilized in the following excerpt from Whitman's poem? O the bleeding drops of red, Where on the deck my Captain lies, Fallen cold and dead. A. personification B. repetition C. alliteration D. end rhyme

Round the number to 3 significant figures. 0.2590100 Step 1: Identify the place value we need to check for rounding. What is the place value for the last significant figure in the answer? A. the tenths C. the thousandths B. the hundredths D. the ten thousandths

What example of archaic language is found in the following line of Shakespeare's "Shall I Compare Thee to a Summer's Day"? But thy eternal Summer shall not fade A. thy B. eternal. C. shall D. fade

Round to 4 significant figures. 9.87553

The typical Shakespearean Sonnet contains A. 4 B. 10 C. 12 D. 14 lines. Shall I Compare Thee to a Summer's Day (Sonnet 18) by William Shakespeare 1- Shall I compare thee to a Summer's day? Thou art more lovely and more temperate: Rough winds do shake the darling buds of May, And Summer's lease hath all too short a date: 5- Sometime too hot the eye of heaven shines, And often is his gold complexion dimm'd; And every fair' from fair sometime declines, By chance or nature's changing course untrimm'd:² 2 9- But thy eternal Summer shall not fade Nor lose possession of that fair thou ow'st,³ Nor shall Death brag thou wanderest in his shade, When in eternal lines to time thou grow'st: 13-So long as men can breathe, or eyes can see,

Round to 3 significant figures. 78.6500

Round to 3 significant figures. 1.235

Which sentence contains transitional words or phrases? A. Read a non-fiction book; you should learn something from it. B. If you read a non- fiction book, then you should learn something from reading it. C. You should learn something from reading a nonfiction book. D. Read a nonfiction book to learn something. 6

Which are vertical asymptotes for y = sec x? A C -1, 1, 31 É 5TT B D 5T -π, 7/37, 53 31 π, 4, 37

Which sound device does th author use in the following lines from the poem? And quench its speed i' the slushy sand. A. repetition (repeated words) B. assonance (repeated vowel sounds) C. onomatopoeia (words that imitate sounds) D. alliteration (repeated beginning sounds) Meeting at Night by Robert Browning The gray sea and the long black land; And the yellow half-moon large and low: And the startled little waves that leap In fiery ringlets from their sleep, As I gain the cove with pushing prow, And quench its speed i' the slushy sand. Then a mile of warm sea-scented beach; Three fields to cross till a farm appears; the quick sharp scratch A tap at the pane, And blue spurt of a lighted match.

What is the rhyme scheme of the first stanza in Whitman's poem? A. aabbccdd B. aabbcded C. aabcdddd D. aabbcccd O Captain! My Captain! Walt Whitman Help Resources O Captain! my Captain! our fearful trip is done; The ship has weather'd every rack, the prize we sought is won; The port is near, the bells I hear, the people all exulting, While follow eyes the steady keel, the vessel grim and daring: But O heart! heart! heart! O the bleeding drops of red, Where on the deck my Captain lies, Fallen cold and dead.

Which sentence below uses an incorrect homophone? A. She felt pretty grown up, now that she was finally for years old. B. Don't forget to bring a check for the total amount of the repair on the car. C. I asked my mother for help on my math homework. D. I went to the grocery stores for a loaf of bread and a gallon of milk.

What is the rhyme scheme fo. the first four lines of a typical Shakespearean Sonnet? A. aabb B. abbb C. aaaa D. abab Shall I Compare Thee to a Summer's Day (Sonnet 18) by William Shakespeare 1- Shall I compare thee to a Summer's day? Thou art more lovely and more temperate: Rough winds do shake the darling buds of May, And Summer's lease hath all too short a date: 5- Sometime too hot the eye of heaven shines, And often is his gold complexion dimm'd; And every fair from fair sometime declines, By chance or nature's changing course untrimm'd: 2 9- But thy eternal Summer shall not fade

How many periods of the function y = sin x are there between -10 ≤0 ≤ 6π ? [?]

What is the rhyme scheme of the first stanza of Emily Dickinson's poem? I never saw a moor by Emily Dickinson I never saw a moor. I never saw the seas Yet know I how the heather looks And what a wave must be. I never spoke with God. Nor visited in Heaven: Yet certain am I of the spot As if the chart were given.

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, 135 enter as 67.5, 2

Let P(x) represent the population (in thousands) in a region x years 1980. Use function notation to represent that the population is 480,000 in the year 2009. OP(29) = 480 OP(2009) = 480 OP(29) = 480,000 since year OP(2009) = 480,000

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 combined interest earned in both accounts after a year was $675, how much money was invested in each account? Ann invested $ and $ in the account that pays 6% annual interest in the account that pays 5% annual interest.

Factor the polynomial completely. Select all factors of the polynomial. a* - 64a Multiple answers: Multiple answers are accepted for this question Select one or more answers and submit. For keyboard navigation... SHOW MORE a a-8 b a²-8 U P e a-4 a² + 4a + 16 a² +8 f a

A rectangle has a perimeter of 24 inches. If the length is 2 inches longer than the width, find the dimensions (length and width) of the rectangle. Length = Width inches inches

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 profits each year? Earnings last year: $ Earnings this year: $ Reset

Find f'(x) and f'(c). Function f(x) = (x³ + 4x)(3x² + 3x - 2) Value of c c=0

Convert the complex number from polar to rectangular form. Give exact solutioins. #18 z = 2cis 2 2 X

4 + 6i - 6 + 5i Write the answer in a + bi form. Simplify:

There were 545 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 4 times the number of students who failed. Find the number of students who passed and the number who failed. Number of students who passed Number of students who failed

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 break even after 200 units sold, at what price should they sell each guitar? Use the variable p to represent the price. Round up to the nearest dollar.

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 earned a total of $1676.25 in annual interest. How much was originally invested in each account? Amount invested at 3% Amount invested at 27% $ $

Fill in the blank with the expression that results from performing the indicated operation. Use^ to denote an exponent. Do not insert any blank spaces in your answer. a. (3x-4) (3x+4)= Write your response here... b. (2x + 1)(x + 3) = Write your response here... c. (x - 5)² = Write your response here....

Precalculus Consider fx=2x-22+3. a. What are the coordinates of the vertex of the graph of y=f(x)? a. The graph of y=f(x) can be obtained by shifting the graph of y=x2 to the (right/left) by units and vertically graph. (up/down) by __ units, and (stretching/compressing) the

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?

Simplify each expression and enter its value in the blank. a. 14-71 +15-2| = Type your answer here b. 18-(-2) 12-61 = Type your answer here c-1-3-11+17(-6) +12| = Type your answer here d.-19+38(-2)| - Type your answer here

4 5 1 point Write 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 answer... 1 point Write an algebraic equation to represent the given information of a rectangle. Let w be the width and I be the length of the rectangle. The length is 5 cm longer than the width.

Write the complex number in polar form. Give exact solutioins. #14 1 2 1 2 = cis(

Given u = 30 (cos 60,sin 60). 0), what are the magnitude and direction of −4u?