Limits & Continuity Questions and Answers

Use the graph to determine the behavior of the function between the indicated points. A B C D E Points A and B B and C C and D D and E Behavior of the function increasing constant decreasing O increasing constant decreasing increasing constant decreasing increasing constant O decreasing

5. The FDIC insures deposits up to this maximum amount allowed by law $250,000,000 O $250,000 $2,500

-. Which of the following might be a source of income (check all that apply): paycheck from a job gift funds monthly allowance

Which of the following has the best price per unit? Brand C $7.00 for 7 Brand B $6.00 for 3 Brand A $5.00 for 2 Brand C $8.00 for 3

2. The FDIC stands for: (4 pts.) O Federal Deposit Insurance Corporation Financial Deposit Information Company Fundamental Deposit Insurance Corporation Fiscal Delivery Insurance Company

2. You are starting a new full-time job. Which tax form will you need to fill out for your employer? (2 pts.) OW-9 IRS Form 1040 OW-4

Find a correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. 104 55° 40°

Banks are private and credit unions are nonprofit organizations owned by the people. True False

Most credit unions are insured by _____________. The deposit insurance rules are the same at these insured credit unions as they are at FDIC insured banks. (5 pts.) O The International Credit Union Administration (INCUA). The Network Company United Administration (NCUA). O The National Company Administration of Credit (NCAU). The National Credit Union Administration (NCUA).

1) Coefficient of x² in expansion of (2 + x)² 3) Coefficient of x in expansion of (x+3)³ 5) Coefficient of x'y in expansion of (x-3y)³ Coefficient of a²b² in expansion of (a-b)*

1. Match the tax form with the description. (5 pts.) 1. W-4 Forms: Employee's Withholding Allowance Certificate. 2. W-9 Forms: Requests for Taxpayer Identification 3. Form 1040: US individual Income Tax Return 4. Form W-2: Summary of your previous year's earnings, tax withholdings, and other withholdings. a. One of the official documents used to file your annual income tax return. b. Used for long-term jobs. This determines how much of your income should go to taxes, c. Used for contract or sometimes seasonal work, it is used for very short-term work. d. This form comes from your employer, and you use it as reference to complete your tax return.

What is a coterminal angle of -? - 13″ 6 9t 6

Split the find the fos angle • Of 120° of Set up difference. the sum and

) Coefficient of x² in expansion of (2 + x)³ O Coefficient of x in expansion of (x+3)³ Coefficient of x³y² in expansion of (x-3y)³

You are creating a poll to investigate recycling habits in households in your community. You break the community into 4 age groups (18-35, 36-99, 56-75, 76+) and sample 30 people from each age group. Which sampling technique are you using? random cluster Ostratified population

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 14 gallons of fuel, the airplane weighs 2177 pounds. When carrying 48 gallons of fuel, it weighs 2364 pounds. How much does the airplane weigh if it is carrying 62 gallons of fuel? Airplane weight (in pounds) Amount of fuel pounds S ?

Find all solutions exactly on the interval 0 < < 2. I #55 1- cos(2x) = 1 + cos(2x) Step 1: Combine like terms and solve cos(22) cos(22) Step 2: Solve 2x. 2x = +2nx where n is an integer Step 3: Solve a within interval 0 < x < 2 Question Help: Message instructor

2 1 + ln(u) Determine the derivative of f. Let f(u) = - f'(u) = Determine the interval(s) on which f is differentiable. Report the solution using interval notation. f is differentiable on

Find the exact length of the polar curve described by: r = 9e-8 on the interval 7 -T≤ 0 ≤ 4T. 6

The functions fand g are defined as follows. g(x) = -2x²-3 f(x) = 5x+4 Find f(-7) and g (5). Simplify your answers as much as possible. f(-7) = g (5) = 0 00 X

Convert the Cartesian coordinate (-1,6) to polar coordinates, 0≤ 0 < 2π r = √37 Enter exact value. 0= 170.53 X OF

Find the area of the region outside r = 7+ 7 sin 0, but inside r = 21 sin 0.

Find the length of the entire perimeter of the region inside r 15 sin but outside r = 1.

Convert to decimal degrees. 118° 12' 28" [?]°

Find the arc length of the polar curve described by: T= 10 + 10 cos 0

The function h is defined as follows. h(x) = x²-10x+16 x²2²-8x+16 Find h (4). Simplify your answer as much as possible. If applicable, click on "Undefined".

Find the area inside the loop of the following limacon: r = 6 - 12 sin

In Exercises 23-30, find Tn centered at x = a for all n. 1 1+x 23. f(x) = 24. 1 x-1 25. f(x) = e, a = 1 26. f(x) = e, a = −2 f(x) = 27. f(x) = x−², a = 0 28. f(x) = x 2, a = 4 a = 1 a = 2

. Given that the following matrices are equal, find the values of x, y and z. onl 3]-[₂ X43=6=1=10 8-3=4 (a) (c) x+3 25 4 5 X 6yX=3 2-35-1 ZF7 Z 15 -14 b) 2 6 3z]-[5x 3y -12 372 2 X = 5 34= 6 T y=2 37.-12 Z=-4

Solve the system of equations. 3x - 4y - 4z=6 9x12y-12z= - 3 2x-3y - 4z = 4 Select the correct choice below and fill in any answer boxes within your choice. OA. There is one solution. The solution is (10) (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are where z is any real number. (Type exact answers in simplified form.) C. There is no solution. .**

n= q- 2 b= 6 Question 11 Just state the values eg: 2 For K round your answer to 2 decimal places. Suppose we use Midpoint Rule to approximate error formula is given by Er 3 24 A f In(x+3)dx using 3 rectangles. Determine each of the values in the error formula. Hint: The with f" (z)| ≤K

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the answer is an interval, enter your answer using interval notation. If the answer is a finite set of values, enter your answers as a comma separated list of values.) Σ∞ n=0 (2n)! (x/9)ⁿ

Find the constant a such that the function is continuous on the entire real line. g(x) = a = Dne Need Help? 4sin x X a X - 3x Read It if x < 0 if x ≥ 0

Solve the following system of equations. 3x + 3y + z = 17 x-3y + 2z = -17 8x-2y+3z = 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The solution is ( (Type integers or simplified fractions.) OB. There are infinitely many solutions. OC. There is no solution.

Solve the system of equations. X- 3y z = 6 -x + 8y-4z = - 16 2x - 15y +7z = 30 Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is (D) (Type exact answers in simplified form.) B. There are infinitely many solutions. The solutions are (Type exact answers in simplified form.) OC. There is no solution. z), where z is real number.

The angle between 0° and 360° that is coterminal with the - 640° angle is degrees.

Find all vertical asymptotes, x=a, of the following function. For each value of a, evaluate lim f(x), lim f(x), and lim f(x). Use oo or- co when X-a x-a appropriate. f(x)= x²-9x+20 x-6x+8 OA. The vertical asymptote is x = is neither co nor - co OB. The vertical asymptote is x = Oc. There is no vertical asymptote The limits at this vertical asymptote are lim tox)= The limits at this vertical asymptote are lim f(x) = 1-3 lim f(x)= X-3 tam f(x)= x1 and lim f(x) does not exist and and lim f(x)=

Find the distance along an arc on the surface of the earth that subtends a central angle of 9 minutes (1 minute =1/60 degree). The radius of the earth is 3960 miles. Round to the thousandths. Your answer is _________ miles.

William invested $2,300 in an account paying an interest rate of 2% compounded quarterly. Nolan invested $2,300 in an account paying an interest rate of 2(3/4)% compounded monthly. After 20 years, how much more money would Nolan have in his account than William, to the nearest dollar?

Find the limit at the indicated point, if it exists. a) f(x) = ( x-1)/(x^2+1), x = -1. b) f(x) = (x^2-3x-10)/(x+2), x = -2.

The annual revenue earned by Walmart in the years from January 2000 to January 2014 can be approximated by R(t) = 176e⁰∙⁰⁷⁹ᵗ billion dollars per year (0 ≤ t ≤ 14), where t is time in years. (t = 0 represents January 2000.)ᵗ Estimate, to the nearest $10 billion, Walmart's total revenue from January 2009 to January 2014. $ ________billion

a1 a2 a3 [ 1 -1 -3] [a] [ -2 0 4] [b] [ -3 2 4] [c] can you find the identity matrix

a) Convert 225⁰ to radians b) Convert 11π/6 to degrees

One of the events at field day was the long jump. The lengths of 20 jumps are shown. If the mean is 7.0 cm and the standard deviation is 0.8 cm, does the data appear to be normally distributed? Explain. 7.2 5.4 7.5 7.2 7.77 7.5 6.7 5.5 8.0 6.9 6.7 6.0 7.9 8.0 6.3 7.7 7.4 5.5 6.4 7.7

Find the limit using a graph. lim 1/(x-2) x→2+

For 4-7, use the equation y = -3x + 2 to find the value of y at the given x values. 4. x = 3 5. x = -5/3 6. x = 0 7. x = -4

Find the limit algebraically. lim ( x^2-4x+3)/(x-1) x→1

State where the power series is centered. ∞ Σ [(-1)^n (7n-1)/(7^n)n!]x^n n=1

Solve each equation. Show or explain your reasoning. 10^(x-2)= 1,000 4.10ˣ = 88 Solve the equation e^t= 120. Then find the approximate value of the solution using a calculator.

Liz borrowed $52,500 to purchase a home. The bank offered her an APR of 3.49% for a term length of 15 years. Excel calculates the monthly payment to be $375.06. If she were to pay only the minimum payment for the lifetime of the loan, how much will Liz be paying in interest? A) $1,832 B) $67,510 C) $2,356 D) $21,039 E) $15,010