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Graph, degree of polynomial

1. Graph 3x+2y=6. Where do the points cross and how is the pair figured out? 2. Give the degree of 4x. 3. Solve the linear inequality by graphing. 3x + 4y <= 12 x + 3y <= 6 x >= 0, y >= 0 4. The demand and supply equations for a certain item are given by D = -5p + 40 S = -p^2 + 30p - 8 Find the eq

Common ratio of geometric series

Use the geometric sequence of numbers 1, 3, 9, 27, ... to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the nth term of a geometric sequence, what is the 10th term? c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?

Area of a Cartioid

Find the area inside the big loop and outside the small loop for r = ½ + cos &#952; Limits are alpha & beta & must be calculated. Please see the attached file for the fully formatted problems.

Proof : Sequence of Partial Sums

Suppose a_k is a nonincreasing sequence satisfying a_k --> 0 as k--> infinity. Also suppose the sequence of partial sums by s_n = l summation k = 1 to n of b_kl is bounded. Show that these conditions imply summation k = 1 to n of a_k*b_k is convergent.

Proofs : Bounded Sequences

Suppose the sequences {a_n}_n and {b_n}_n are both bounded above. a) Prove that for all n in the naturals sup{a_k + b_k: k>/=n} is less than or equals sup{a_k:k>/=n} + sup{b_k:k>/=n} b) Use this to conclude: limsup (a_n + b_n) is less than or equals limsup(a_n) + limsup(b_n) (all limits are n--> infinity)

For the equation x - 2(sqrt of x) = 0 perform the following:

For the equation x - 2(sqrt of x) = 0 perform the following: Solve for all values of x that satifies the equation Graph the functions y = x and y = 2(sqrt of x) on the same graph. Show the intersection of these two graphs. Please show your work to help me with the more difficult equations on my assignment. Thanks

Initial and Future Value

You have decided to purchase some shares of stock for $1000. After five years, the value of your purchase has grown to $2000. a. Write a formula for the relationship between the future value of an investment and the initial investment amount. Use variables instead of actual quantities in your formula. Note what each variable

Problem Set

11. Assume the total number of dollars (in billions) on entertainment in the United States from 1990 to 2000 can be approximated by the model S = 148 + 6.7t + 0.58t2. where t = 0 represents the year 1990. During which year was $215 billion the amount spent on entertainment? (5 points) 12. Solve 3x2 - 10x = 8 by factoring

Solve equation

3. Solve each equation and check for extraneous solutions; show all work. a. &#8730;(4a2 - 27) = a b. &#8730;(x2 - 6x) = 4

Achmed and Ali were camel - drivers...

13. Achmed and Ali were camel - drivers but one day they decided to quit their job. they wanted to become shepherds. They went to the market and sold all their camels. The amount of money (dinars) they received for each camel was the same as the total amount of camels they owned. With that money they bought as many sheep as

Problem Set

(See attached file for full problem description) --- 1. The following gives the price in dollars of a round trip ticket from Phoenix to Portland, and the corresponding profit, in millions of dollars, for each price. For the data below, select the best model. Price (dollars) 200 250 300 350 400 450 3.09 3.51

Theory of Computation : Non-deterministic finite state automaton

Give a non-deterministic finite state automaton that recognizes the language L subset {0,1}* that consists of all words w such that some appearance of two 0's in w is separated by an even number of 1's. (For example: the words 0010010110, 001101 are in the language but the words 0101110, 001001 are not.) (As a note, this i

Writing Equations from Word Problems : Time and Distance, Two Moving Objects

At 2:00 p.m. bike A is 4km north of point C and traveling south as 16km/h. At the same time, bike B is 2 km east of C and traveling east at 12km/h. a. Show that t hours after 2:00 p.m. the distance between the bikes is: square root (400t^2 - 80t + 20) b. At what time is the distance between the bikes the le

Problem set

(See attached file for full problem description) 1, Given that s = 1.59t(1 - 3v), obtain the value of v when s = 3.52 and t = 21.56 2, Solve log(2x + 3) = log(4x) + 2, for x 3, If x = p/q (1 + 1n r) evaluate r when x = 0.34, p = 1.08 and q = 1.84

2 Problems

(See attached file for full problem description) --- 1. Make y the subject of the formula (see attached) 2. Rearrange the equation X = 1/2A In(q - 3) + c to obtain a formula for q

Series and Annuities: The Tortoise and the Hare Series

You may have heard the fable about the tortoise and the hare. Suppose that the tortoise and the hare are running a 5000 M race. The tortoise proceeds very slowly, never changing its speed. The hare runs very quickly at the start. The tortoise travels 10 M every minute. the hare travels 2500 M in the first minute but, in each mi

Word problems

Please help me understand how to solve these 2 word problems: 1.) McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand. What will world grain demand be in 2010? 2.) Before Ronald sold two female rabbits, half of his rabbits were femal

Solving quadratic roots

Need help solving this equation (i.e. finding roots or zeros): 0=3x^2-2x-1 Also, need to graph this equation...think I'm having the same problem with the roots in order to find all intercepts: 5x-y+6x^2 <or= 0 Could you please show all work?? Thanks so much!

Arithmetic problem

A Flagpole 15 feet high casts a shadow 5 feet long. A 6 foot man standing nearby would cast a shadow how long?

Rearranging and Solving Formulae

1. In a circuit containing a resistor and a capacitor, the instantaneous voltage V volts across the capacitor is given by the formula Where R is the resistance in Ohms V is the initial voltage, C the capacitance in Farads and t is the time in seconds. Determine the time at which the instantaneous voltage is 35 volts given