Limits

Theme: Limits...

How do i derive (x^-4) using the limit definition [f(x+h) - f(x) / h]

Find all critical values of the function g(x)=5/(x²-x+6)

Is the area finity or infinity? $ \int \limits_1^{\infty}\frac{\ln x}{x^2}\, dx $ If this area is finite, what is the value of area of this integral?

Find out volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=lnx, y=1, y=3, x=0; about the y-axis.

Lim[(sqrt(cos(2x)-cubicrootof(cos(x)]/arctg(x^2) when x->0

find the length of the curve x=3t−t3x=3t-t^3, y=3t2y=3t^2, where 0≤t≤3√0<=t<=sqrt(3)?

Find all solutions of given equation 2cosx-1=0

If PQ=21 cm and QR=5cm, then what are the possible lengths for PR so that line PQ, line QR, and line PR can form a triangle? explain your reasoning

Ex 3.7 12. find the area between the curve y=x³-2 and the y-axis between y= -1 and y=25

$ \int\limits {3 ^{ \frac{x}{2} } } \, dx $=

Use the substitution u = tan(x) to evaluate the following. int_0^(pi/6) (text(tan) ^2 x text( sec) ^4 x) text( ) dx

Given that S^3 on the bottom 1 (e^x)dx=(e^3)-e use the properties of integrals and this result to evaluate S^3 on the bottom 1 (5e^x − 1) dx. I got 5e^3x-5e-1 is this correct?

Product A is a 12-ounce bottle of generic mouthwash that sells for $1.39. Product B is a 24-ounce bottle of mouthwash that costs $2.79. Which is the better buy?

and fast Describe and correct the error in finding the solution to 8p (>/=) -7 8p (>/=)-7 8p/8 (=) -7/8 p (=) -7/8

Describe and correct the error in finding the solution to 8p (>/=) -7 8p (>/=)-7 8p/8 (=) -7/8 p (=) -7/8

1. A _______ is invested by managers in a diversity of stocks, bonds, and other securities. A. preferred stock B. series EE bond C. promissory note D. mutual fund 2. Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00. She then uses her calculator to determine her new balance. Which of the following is the correct series of keys she should press? A. 6 8 + 7 5 – 6 2 5 0 – 5 = B. 6 8 + 7 5 – 5 – 6 2. 5 0 C. ON/C 6 8 + 7 5 = 5 = 6 2. 5 0 D. ON/C 6 8 – 5 – 6 2. 5 0 + 7 5 = 3. Marlin Davies buys a truck for $28,000. In three years, the car depreciates 48% in value. How much is the car worth in three years? A. $12,005 B. $14,560 C. $27,052 D. $14,000 4. Ray Cupple bought a basic car costing $10,150.00, with options costing $738.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray’s total cost? A. $11,547.00 B. $11,591.28 C. $11,541.28 D. $10,938.00 5. A share of stock in the Lofty Cheese Company is quoted at 25 1/4. Suppose you hold 30 shares of that stock, which you bought at 20 1/4. If you sell your stock at 25 1/4, which one of the following statements would be true? A. You’ll make a profit of $150. B. You’ll make a profit of $15. C. You’ll suffer a loss of $15. D. You’ll suffer a loss of $150. 6. Which of the following best describes term life insurance? A. The insured is covered during his or her entire lifetime. B. The insured pays a premium for a specified number of years. C. The insured pays the premium until his or her death. D. The insured can borrow or collect the cash value of the policy. 7. The Hamilton Brush Company issued 2,500 shares of common stock worth $100,000.00 total. What is the par value of each share? A. $400.00 B. $250.00 C. $25.00 D. $40.00 8. The Emerson First National Bank is lending you money to buy a new car. The loan agreement will probably state that you must carry _______ insurance. A. no-fault B. collision C. liability D. medical 9. All insurance is based on a principle called A. division of risk. B. cash value coverage. C. premium earnings. D. investment premiums. 10. The coverage included in an automobile insurance policy that covers property damage is _______ insurance. A. supplemental B. liability C. term D. major medical 11. Which of the following devices imparts ownership in a corporation? A. U. S. Treasury Bill B. Bond C. Savings account D. Stock 12. _______ health insurance coverage pays for at least part of hospital costs and fees. A. PPO B. HMO C. Major medical D. Basic 13. Lorenzo has a checkbook balance of $118.00. He writes two checks, one for $9.00 and one for $84.25. He then deposits $95.00. Finally, he uses his calculator to determine his new balance. Which one of the following series represents the correct order in which he should press the keys on his calculator? A. 25 = 118 + 9 / 95 B. 95 – 118 + 9 – 84.25 C. 118 – 9 – 84.25 + 95 D. 118 – 95 + 84.25 – 9 14. What type of stock receives an equal part of the profits on each share to be distributed after all other obligations of a company have been satisfied? A. Preferred B. Common C. Cumulative preferred D. No-par 15. Which of the following is intended primarily to enhance a person’s tax advantage and retirement income? A. Growth fund B. Money market fund C. IRA D. U. S. Savings Bond 16. What is the first step that a smart new-car buyer should take before talking to salespersons and putting a deposit on a car? A. Obtain car insurance. B. Study the car market. C. Shop around for a car loan. D. Test-drive the car. 17. A _______ is a group of people who agree to save their money together and to make loans to each other at a relatively low rate of interest. A. commercial bank B. credit union C. Christmas club D. investment firm 18. John Gray bought a basic car for $8,250.00, with options that cost $324.00. There’s a 6% sales tax in his state and a combined $50.00 license and registration fee. What was John’s total cost? A. $10,000.00 B. $9,138.44 C. $14,247.00 D. $9,141.44 19. Jane Marko buys a car for $11,400.00. In three years, the car depreciates 48% in value. How much is the car worth in three years? A. $4,788.00 B. $3,800.00 C. $5,472.00 D. $5,928.00 20. With _______ insurance, the insured agrees to pay a specific premium each year until death. A. limited-payment B. endowment life C. whole-life D. half life

The diagram shows purl of the curve >>*-—• and of the line y + x = 8, intersecting at the

Comprehensive resolution

Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage. How many months will it take for the second phone to be less expensive than the first phone? The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is. The solution to the inequality is. Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.

The track at East Side High School is 440 yards long. It took Maya 10 minutes to jog around the track 4 times. Find her speed in miles per hour. (What’s the formula for this problem?)

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