Mathematics - 12 June 2007

I'm looking to figure out how to solve the following derivative..
(2e^(5x))(cos(3x) + sin(3x))

I know the answer to be..
(4e^(5x))(4cos(3x) + sin(3x))

But I can't figure out how to arrive at the answer. I've tried using the product rule, but I can't seem to get the same answer. I've also tried some logarithmic differentiation, but that doesn't seem to end up correct either. Could someone please explain to me how one goes about solving such a derivative.

2007-06-12 15:45:48 · 3 answers · asked by patrickkonsor 2

2007-06-12 15:30:52 · 19 answers · asked by roninshinobix 1

2007-06-12 15:29:47 · 4 answers · asked by may 1

The probability of being left-handed is about 10%. What is the probability that exactly 2 out of 3 students are right-handed?

2007-06-12 15:28:23 · 3 answers · asked by Jennifer H 1

1) 3ln2x-1=14

2) 6^2x+1=11

3) log(2x-3)=2

2007-06-12 15:27:04 · 5 answers · asked by Michael V 3

Prove:

sec(x) + tan(y) = cos(y)/(1-siny)

I got this far:

1/cos(x) + sin(x)/cos(x)
1 + sin(x)/cos(x) = cos(y)/(1-sin(y))

Hmm, did I write the problem down right?

Also, if you are feeling especially generous (you don't have too :)) please simplify:

tan(x) - sin(x)cos(x)/sin²(x)

Hope its easy to follow, thank you for your time!

2007-06-12 15:22:47 · 3 answers · asked by Raheel P 1

2007-06-12 15:21:55 · 9 answers · asked by may 1

Ian builds wooden toys. Recently he built a model of a shipping container using a scale of 1:700. The surface area of the toy is 276mm2(square). Determine the surface area of the real container. Give your answer in mm2(square) and in m2(square).

2007-06-12 15:01:51 · 2 answers · asked by ebneter_chick 1

time understanding this and I am afraid I will not pass tomorrows final:( Please can someone explain in simple to understnd terms please

2007-06-12 14:56:35 · 4 answers · asked by tickled pink 1

Can you tell me if I am correct on these??? Thanks.
a. A sporting goods store stocks 10 styles of shoes. Each style comes in 8 sizes and 5 colors. How many shoes must the store stock in order tohave one pair of each size?
(10)8(5) = 400???
b. A business women has 8 skirts and 4 sweaters. How many different outfits can she make? 4*8 = 32?
c. A menu contains 5 main dishes, 3 side dishes, 2 salads, and 4 desserts. How many different meals can be made with the section? 5x3x2x4?? 240???
d. How many ways are there of drawing an ace from one deck of cards and a diamond from a second deck of cards.?? Need help on this one.

Thanks

2007-06-12 14:53:43 · 5 answers · asked by thunderbomb90 3

If an investor places $100,000into an account which pays 3% interest compounded continously , and $110,000 into another account paying 2.5% interest compounded continuously, after how much time will the two accounts have the same balance..

can someone go through step by step?

2007-06-12 14:37:58 · 3 answers · asked by Joan L 1

simple terms please so that I can catch on.

2007-06-12 14:36:36 · 5 answers · asked by tickled pink 1

Find the values of the remaining trigonometric functions of 0 if:
cos0=5, 0=in quadrant II

2007-06-12 14:22:05 · 1 answers · asked by In Flames I Lay Dying 3

Find the equation of the plane which contains the point (2; 1;−1) and is perpendicular to the planes 3x + y − z = 6 and 2x+2y+z=4.

2007-06-12 14:21:03 · 1 answers · asked by Mixed Asian 5

f(x)={x+2, 1<_x<3
{3x-x^2+5, 3<_x<_7

how do you find the domain and range of this function??

<_ this means less than or equal to

2007-06-12 14:17:38 · 1 answers · asked by ohh Yea! 2

14. Find the range for the function M(x) =
x2 -3x + 5 if the domain is D = {-2, 0, 1}.


A.
{3, 5, 15}

B.
{3, 5, 7}

C.
{-3, 0, 15}

D.
{-5, 3, 15}

15. Given the function P(z) = z2 - 8, find P(-2).


A.
4


B.
0

C.
-4

D.
-6

2007-06-12 14:16:30 · 4 answers · asked by sunny 1

If sin( −1x − 2y + z) = 0, find the first partial
derivatives ∂z/∂x and ∂z/∂y at the point (0, 0, 0).
A. ∂z/∂x (0, 0, 0) =
B. ∂z/∂y (0, 0, 0) =

2007-06-12 14:10:41 · 3 answers · asked by merfie 2

Questions refer to the following functions: f(x) = 3x-5 and g(x) = -x2 + 1.
3. Find f(3) * g(2).


A.
-20

B.
-12

C.
12

D.
20

4. 1/5g(6)


A.
-8

B.
-7 2/5

C.
-7

D.
-6 4/5

2007-06-12 14:03:49 · 8 answers · asked by sunny 1

2007-06-12 14:01:05 · 3 answers · asked by Tas Chowdhury 2

Thanks for your help.

2007-06-12 13:31:47 · 3 answers · asked by Anonymous

how do you know when you are supposed to use combinations and when you are supposed to use permutations...they dont seem so different to me so i keep getting confused on which one should i use when?

2007-06-12 13:24:12 · 4 answers · asked by ? 2

I have a problem understanding this question( A rectangular building 100 m by 80 m is to be surrounded by a lawn of uniform width. the area of the lawn must be equal to the area of the building. Find the width of the lawn to the nearest tenth of a metre.) Thank You

2007-06-12 13:13:52 · 1 answers · asked by crobabe2182 1

The mean salary for the engineering department of a large company is 100,000. The salaries for the engineering department follow a normal distribution. About 95% of the salaries are between 60,000 and 140,000. What is the standard deviation of the salaries for the engineering department?

This is a statistics problem. The answer is 20,000. I just want to know how to solve it. Thank you so much, please explain.

2007-06-12 13:12:41 · 2 answers · asked by Anonymous

Robin ran a 10- kilometer race in 42 minutes 30 seconds.what was her averge rate(kilometers per minute)

2007-06-12 13:11:01 · 4 answers · asked by baby girl 123 1

What is the domain, range, and period of the function Y=0.10sin(880~x) *(~ is pie)

2007-06-12 13:05:27 · 3 answers · asked by Anonymous

2007-06-12 12:50:42 · 5 answers · asked by Anonymous

My professor is insane. I thought the answer was 1/2 which is rational, but he says it isn't that easy. He used a formula such as Pn (with a hat of the 'P'- no idea what he means by hat) = X1+X2+...Xn-1+ Xn divided by n. He also mentioned "chi square for goodness of fit" Any ideas using either of these? It is known that for a large number of coin tosses, the proportion of tosses which turn up heads is approximately the same as the actual probability of obtaining a head on a single toss.In other words, Number of heads/Total Tosses= P(Head on a single toss.) This proportion is non-deterministic, but by a theorom proved called the Strong Law of large Numbers, the sequence of proportions converges to the value for P(head on a single toss) with probability one. (ie. 100% chance) Is the value for P (head on a single toss) a rational # r an irrational #? Use any method you want in attempting to address this question. There may not be a correct answer, just support your reasoning for the answ

2007-06-12 12:45:16 · 2 answers · asked by whycanti67 1

2007-06-12 12:34:45 · 4 answers · asked by Anonymous

2007-06-12 12:33:32 · 3 answers · asked by Anonymous

2007-06-12 12:32:38 · 5 answers · asked by Anonymous