MATH 1680 Study Guide - Midterm Guide: Quotient Rule, Asymptote

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turquoisegnu128

11 Oct 2018

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You must show your work. (a) let f (x) = (x2 3x + 1)(x3 2x + 5) (b) g(x) = 2x4 3x + 1 x2 x + 3 (c) k(x) = (x2 3)17 (3x + 1)4 7. (d) h(x) = Estimate the answer to the nearest 0:01: (10 points) the line tangent to the graph of g(x) at the point (4; 7) has a y-intercept of 9. What is g (4): (10 points) find a point on the graph of h(x) = x3 6x2 + 9x where the tangent line is horizontal. There are two such points on the graph of h(x): (10 points) suppose f and g are functions for which both limx a f (x) = 0 and limx a g(x) = 0. Compute l(2) and l (2). (b) let u (x) = f f f (x). Compute u (1) and u (1). (c) let k(x) = g(x) + f (x2).

Related Questions

1. Evaluate the expression 2x - 2 for the value of x = -3

2. Factor: xsquare + 4x - 32 (x-4)(x+8) (x-4)(x-8) (x-4)(x-8) (x-16)

3. Factor: xsquare - 25 (x-5) (x+5)2 (x+5)(x-5) (x-5)(x-5)

4. Evaluate -u2v3 when u=4 and v=-2 128 64 32 -128

5. Using an online calculator, determine whether the value of x=7 is a solution of the equation. x Yes No

6. Explain why x=7 IS or IS NOT a solution of the equation. 7 + 1/x+2=8

7. Solve the equation and check your solution: -2 - 4x = 30

8. Solve the equation and check your solution: 67x - 24 = 3x + 8(8x - 3) 67 -3 -67 All real numbers

9. Solve the equation and check your solution. 5x/2 - x/6 = 14 10 6 7 9

10. Solve the quadratic equation by factoring: xsquare - 6x + 5 = 0 -1, 5 -1,-5 1,-5 1,5

11. The imaginary number i represents:

12. Find real numbers a and b such that the equation is true: a+ bi = 14 + 2i a=16, b=4 a=18, b=6 a=14, b=2 a=15, b=14

13. Find all solutions to the following equation. /4x - 8 = /4x + 9 x = -17/4 x=9 No solution x=-17

14. In a given amount of time, James drove twice as far as Rachel. Altogether they drove 120 miles. Write an equation to help find the number of miles driven by each. Use R as the variable to represent miles driven by Rachel and J for Jamesâ miles.

15. Karen works for $10 an hour. A total of 25% of her salary is deducted for taxes and insurance. She is trying to save $450 for a new set of tires. Write an equation to help determine how many hours she must work to take home $450 if she saves all of her earnings. Be sure to save the equation you write, as you will use it to answer the next question in this quiz. 10h - .25=450 10h + .25(10h)=450 h -.25 (10h)=450 10h - .25(10h)=450

16. Using the equation you wrote in the previous problem, find the actual amount of hours Karen must work to take home $450 if she saves all of her earnings. Show your work. 17. The length of a rectangular map is 15 inches and the perimeter is 50 inches. Find the width. Hint: Perimeter = width + length + width + length

18. Twice a number is added to the number and the answer is 80. Write an equation to solve this problem. 2n + n=80 2n = 80 2n + 80=n 80 + n=2n

19. If 4 is subtracted from twice a number, the result is 10 less than the number. Write an equation to solve this problem. Use n as the variable to represent the number.

20. Multiply the following binomials: (x + 5)(x - 5)

Lines that form right angles at their point of intersection. A five-sided polygon. A round figure whose surface is at all points equidistant from the center. A geometric figure having three line segments for sides. A quadrilateral where each angle is a right angle. An equilateral parallelogram. The distance around a geometric figure. A segment with end points on the circle. A chord of a circle that contains the center of a circle. A segment joining the center of a circle to a point of the circle. Algebra A extremes B. graph C. numerical order D. range E ranking F. variable G. exponent H algebra A letter that is used in place of a numeral. The branch of mathematics that uses letters, called variables, in places of numerals. The n in X" indicating the number of factors of X. Data in order from smallest to largest or vice-versa. A pictorial representation of data. The two outer terms of a proportion. The difference between the greatest and least numbers in a list of data. Data organized in ascending or descending order. Practical Test Solve each problem below. You may use a piece of scratch paper to work your problems. You do not have to turn in your work sheet. Write only the answer in the space provided for each question. Write the number for six million, four hundred thousand, nine hundred twenty seven. _____________________________________ Robert bought a used automobile for $1, 500.00. If the sales tax is 5%, what will be the total that Robert had to pay for the automobile? __________________ Solve 2/3 + 4/6 ______________ What is the perimeter of a triangle which sides measure 6, 8, and 10 inches? _________________ What would be the radius of a circle with a diameter of 8 inches? _________________ Solve 2x + 3 = 9, x= ____________ What is the area of a rectangle with a width of 12 feet and a length of 10 feet? ____________ Using the fraction 4/6, which number is the denominator? _____________ What percent of one U.S. dollar is $.25? ____________ Tom, Bill, Susan, and Sandy went bowling. Tom's score was 132, Bill's score was 140, Susan's scored 145 and sandy's score was 128. What was the average score of all four bowlers? __________ A dress that sells for $50.00 now has a 10% discount marked on the tag. How much will you save off the regular price of the dress? ____________ Sam bought a pair of socks for $2.95 and a tie for $7.50. He gave the cashier a twenty dollar bill. How much change should Sam receive from the cashier? _____________ A cube measures 3 inches on all of it's sides. What is the volume of the cube in inches? ______________ Canned corn is on sale at the grocery store, three cans for a dollar. Another brand is only $.30 per can, which is the better buy? ____________ Your paycheck each week is $500.00. If you want to save $2,000.00 dollars in one year, how much should you set aside from your paycheck each week? _______________

MATH 1680 Study Guide - Midterm Guide: Quotient Rule, Asymptote

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