Mathematics

Find the Cartesian equation of the plane containing the following 2 lines

L1: x-1 = y/2 = (z+1)/-3 L2: (x+1)/-2 = y-1 , z = -1 So far i wrote the lines out into parametric form then into their equations: L1 = i-k+t(i+2j-3k) L2 = -i-j+k+t(-2i+j) Then i used the cross prod

Difficult Trigonometry Word Problem

So the problem goes like this: From a boat on the water the angle of elevation of the top of a cliff is 31 degrees. From a point 300m closer to the cliff, the angle of elevation is 33 degrees. Find t

How to differentiate Tan x using First principles

Let f(x) = tan x.Then f (x) = lim (h->0) [tan(x+h) - tan x] / h Remember that tan (a + b) = [tan a + tan b] / [1 - tan a * tan b] f (x) = lim (h->0) [(tan x + tan h) / (1 - tan x * tan h) - tan x]

10 points to whoever can solve these problems

1. 5(a-2)-3a+48 2. 2(3n+1)+4n+5=87 3. 5w=63-2w 4. 6p-9=2p+19 5. 2(n+3)=5n-12-a = 29 n=8 w =9 p=7 n =6-1). 5(a - 2) - 3a + 48 = 5a - 10 - 3a + 48 = 2a + 38 = 2(a + 19) 2). 2(3n + 1) + 4n + 5 = 87 6n +

Is the Algebra 1 EOC hard

I have a couple basic questions. - Is it multiple choice? - Was it hard for you? - What topics does it cover. (Specifically, not just chapters 1 - 12 haha. :) ) Im in 8th grade and i have the EOC on

How much is 85% of 51 months ? Or how do I get the answer in math terms

To obtain the answer you would essentially have to mulyiply 51 x 0.85 (the equivalent of 85% in decimal form). The answer would be 43.35 months. This is about 1300.5 days (43.35 x 30, note that this i

Math statistics question

For two events E and F, P(E) = 0.42, P(F) = 0.81, and P(E n F) = 0.30. Find P(F | E). Round your answer to three decimal places. a. 0.370 b. 0.714 c. 0.930 d. 0.519 e. None of the above-The conditiona

Calculus question (growth and decay)

Assume an objects weight, W, is proportional to its height, H. Does it make sense to use differential equations to model the weight of the object? If so, what is the differential equation? If not, exp

How to differentiate cot x

d/dx (cot x) = d/dx (cos x / sin x)= sin x * - sin x - cos x * cosx / sin^2x= - (sin^2x + cos^2x) / sin^2x= - 1 / sin^2x= - csc^2x-use the product rule on cos(x) / sin(x) youll get - csc^2(x)

How to solve this aritmetic series

Show Work: find a20 a1=16a4=2-3d = a4 - a1 = 2 - 16 = -14 d = -14/3 a20 = a1+19d = 16 + 19(-14/3) = -218/3-To mather, T(20) = 16 + (10 - 1) * (-14/3)is incorrect.Report Abuse-There is a formula for

If y = (tan x)^(tan x)^(tan x)^....... , then show dy/dx = 2 at x = pie/4

This is a problem of differentiation with infinite series...well am not getting simply 2 as answer. My answer is 2y^2. part of my solution is,let,y = ( tan x )^y logy = y log(tan x) (1/y)dy/dx = y(1/

Need desperate help in math please help! (Pre-Cal)

1) I need to simplify this expression (1 - sin^2x)/(sin(x) - csc(x)) 2) In how many ways can you answer the questions on an exam that consists of 18 true-false questions please show all steps and

Solve 3-4i+2ix=3i-(1-i)x

3-4i+2ix=3i-(1-i)x 2ix + (1-i)x = 3i -3 +4i x ( 2i +1 -i) =7i -3 x ( i +1) = 7i - 3x = ( 7i -3) / (i +1)= ( 7i -3) / (i +1)* ( i-1)/(i-1)= (7i -3)(i -1) / ( i+1)(i-1)= ( 7i^2 -7i -3i +3) / ( i^2 -1)=

A 25 oz solution is 20 % alcohol.

if 50 oz of water are added to it what % of new solution is alcohol-Alcohol content = 25*0.2 = 5 oz New total volume = 75 oz % Alcohol = 5*100/75 = 6.67%-Out of the 25 ounces,alcohol = 25*0.2 = 5 oz

If P(ABC) = 0.2, are A and C mutually exclusive? Explain.

Assuming P(ABC) means P(A intersect B instersect C) (where intersect is an upside down U), then no. Because if they were mutually exclusive, that would mean the probability of both A and C occuring w