Mathematics

Did i correctly solve this problem using synthetic division

(2x^2 -5x +3)/(x -3) What I did: divided by x=3 2x + 1 with a remainder of 6 So my answers are: x=3 and x= -.5-Use coefficients of polynomial only: 2, -5, 3 Synthetic division: 3 | 2 .. -5 ... 3 .. |

Determine if this series is convergent/divergent using the ratio test.

(2n-1)!/3^(n+1) Starting at n = 1 and going to infinity. Thanks in advance.-For the ratio test, look at the limit of the ratio of |a[n+1] / a[n]|, as n goes to infinity. If the limit is >1, then the

Can you find the derivative of ln

f(x)= ln ((x-1)/(x+1) also did i do this one correctly? f(x)= e^(x^2 -x -6) dy/dx= (2x-1)e^(x^2 -x -6)-f(x) = ln[(x - 1)/(x + 1)] = ln(x - 1) - ln(x + 1) f (x) = 1/(x - 1) - 1/(x + 1) = 2/(x² - 1)

Algebra 2 homework problem.

How do you solve this: what principal invested at 10% compounded continuously for 4 years will yield $1090?-A = P x e^(rt) 1090 = P x e^(0.1 x 4) 1090 = P x e^(0.4) P = 1090 / e^(0.4) = 730.65-In th

What is the derivative of: y= cot^7 (x)

can you show how you arrived at your answer as well-y = (cot(x))^7 Bring down the 7 and subtract 1 from the exponent to get: y = 7(cot(x))^6 But dont forget the chain rule. Derive the inside of ( ) an

Volume of a Revolution

The exercise is: Find the volume of the solid obtained by rotating the region bounded by the given curves about the given axis. y = x^2 , y = 4 , x = 0 , x = 2; about the y-axis I took the inverse o

The result for the calculation (3.56 x 1056)/(7.1 x 10-22) is ___ the answer for the calculation (4.85 x 1033)

Is it greater than, less than, or equal to? 10 points to best answer!-(3.56 x 1056)/(7.1 x 10 -22) = 76.72163265 (4.85 x 1033)= 5010.05 (3.56 x 1056)/(7.1 x 10 -22) is less than (4.85 x 1033)

I need help with a math pre-calc question(find vertices,foci & eccentricity) full points for the best answer!

Find the center, vertices, foci and eccentricity of the ellipse and sketch its graph. 9x^2+4y^2+36x-24y+36=0 Please help me :) Thank you!-Regroup x terms and y terms 9x^2+36x+4y^2+24y=-36 factorout t

If 5 coins are tossed simultaneously, what is the probability that at least one coin comes up heads

A. about 0.03 B. about 0.33 C. about 0.67 D. about 0.97 please explain your answer. thank you.-1 - .5^5 = 0.96875 D) about .97 at least one coin comes up heads means that: 1 coin or 2 coins or 3 coi

Can a beautiful lady be a Top Mathematician

Why cant be? There are many beautiful women in India who are exponents in the fieldsof Mathematics also.-Looks have nothing to do with brains.If you understand it well enough, and you are capable of s

Statistics help! Standard Deviation and mean word problem.

This problem probably isnt very hard, but how to set it up is confusing me a little.. Could you please help me out with this problem by showing all the steps? Thanks so much! Weights of adult green s

Proof by contraposition

If a sum of two real numbers is less than 50, then at least one of the numbers is less than 25.-First, we write the contrapositive of the statement to be proved: If both real numbers are at least 25,

Payment and Total Interest

A homeowner is planning to have a concrete driveway poured in 3 years. She receives a quote of $6500 from a local company. The homeowner has a savings account that pays 3% annual interest, compounded

2 math problems help? ten points

I need some help with these two math problems. I finished everything else except I cant figure these two out! Whoever helps the most will receive best answer. (x^2 is the same thing as x squared.)

What is the next step

find the derivative of: (5e^-x - 3) / (5e^-x + 3) rule: uv - uv / v^2 what I did: (5e^-x - 3) / (5e^-x + 3) [ (-5e^-x)(5e^-x + 3) ] - [ (5e^-x - 3)(-5e^-x) ] / (5e^-x + 3)^2 What do I do here?-Fact