Recent Homework Questions About Arithmetic
Calculus - Volume by Integration
A quick look at the region bounded by y=(x-2)^3-2, x=0, y=25 http://www.wolframalpha.com/input/?i=plot+y%3D%28x-2%29%5E3-2%2C+x%3D0%2C+y%3D25 shows me that I should scan horizontally from y = -10 to y = 25 using V = π∫ x^2 dy from y = -10 to 25 I need ...
Sunday, November 24, 2013 at 11:41am
Let the point be P(x,y) , point (-4,1) be A Since the shortest distance must be where AP is perpendicular to the given line. slope of given line = 6/5 so slope of AP is - 5/6 equation of AP: y-1 = (-5/6)(x+4) times 6 6y - 6 = -5x- 20 5x + 6y = -14 , #2 6x - 5y = -1 , #1, the ...
Saturday, November 23, 2013 at 3:22pm
notice that one parabola opens up, the other down. their intersection ..... x^2 - c^2 = c^2 - x^2 2x^2 = 2c^2 x^2 = c^2 x = ± c ---- y = 0 in both they intersect at (-c,0) and (c,0) using symmetry area = 2∫(2c^2 - 2x^2) dx from 0 to c = 2(2c^2 x - (2/3)x^3) | from...
Thursday, November 21, 2013 at 10:32pm
Calculus-Area between curves
first of all reduce the equation to simplest form: y = 2√x y = 5 y + 2x = 4 Your sketch should look like a "triangle" with one side slightly curved see: http://www.wolframalpha.com/input/?i=plot+y%3D2*sqrt%28x%29+%2C+y%3D5+%2C+y%2B2x%3D4 we need ...
Thursday, November 21, 2013 at 10:16pm
did you mean it the way you typed it, or did you mean f(x) = √(x+2) ? I will assume f(x) = √(x + 2) judging by the values of the interval first take the definite integral of the function = ∫(x+2)^(1/2) dx from 1 to 7 = (2/3)(x+2)^(3/2) | from 1 to 7 = (2/3)9...
Wednesday, November 20, 2013 at 10:06am
Trig - Law of sines and cosines
I started with AB, the vertical diagonal of the square. I then drew square ALMN At M, I drew the base BC of the equilateral triangle perpendicular to AM, letting BM = MC = 2 Joi AB and AC for the triangle. Let the intersection of ML and AB be P, and the intersection of MN and ...
Tuesday, November 19, 2013 at 8:09pm
let the side of the square be x let the side of the triangle be y 4x + 3y = 40 x = (40-3y)/4 height of triangle from the 30-60-90 triangle ratio = √3/2 y area of triangle = (1/2)(y)(√3/2 y) = (√3/4)y^2 area of square = [(40-3y)/4]^2 = (1600 - 240y + 9y^2)/16...
Monday, November 18, 2013 at 8:08pm
Physics, Elena Please Help If u can.
Ha, I got it! It's easy. They're asking about the minimal angular velocity of the disk so the ball sticks to the outer wall of the slot. If you answered for Q1-2 Ground Frame Acceleration, you can easy find the right answer for this one, too. -Forget about the gravity...
Monday, November 18, 2013 at 7:26am
Tell whether the sequence is arithmetic. If it is, write a function rule to represent it. 0.2, -0.6, -1.4, -2.2 This is an arithmetic sequence, but I do not understand the function rule of A(n) = 0.2 - 0.8(n-1), which is the given answer.
Sunday, November 17, 2013 at 3:47pm
Math help please
1. Each time a touchdown is scored in a football game, 6 points are added to the score of the scoring team. A team already has 12 points. What rule represents the number of points as an arithmetic sequence when n is the number of touchdowns scored? A(n) = 12 + 6n A(n)12 - (n...
Thursday, November 14, 2013 at 7:58pm
What is the common difference of the following arithmetic sequence? 102, 100, 98, 96... 2 -2 -1 102 Is it -2?
Tuesday, November 12, 2013 at 11:47am
What is the 32nd term of the arithmetic sequence where a1 = -32 and a9 = -120?
Friday, November 8, 2013 at 4:09pm
Suppose a ball of putty moving horizontally with 1kg.m/s of momentum collides and sticks to an identical ball of puffy moving vertically with 1 kg.m/s of momentum. Why is their combined momentum not simply the arithmetic sum, 2 kg.m/s?
Friday, November 8, 2013 at 12:57am
Show that if x, y, and z are consecutive terms of an arithmetic sequence, and tan y is defined, then (sin x + sin y + sin z) / (cos x + cos y + cos z) = tan y. So I tried letting x = y-k (since x,y,z are consecutive terms of an arithmetic sequence), then z= y+k So we get (sin(...
Thursday, November 7, 2013 at 1:38pm
a) that part is trivial, the largest area is obtained if all of the wire is used to make a circle b) let the radius of the circle be r let the side of the square be x 4x + 2πr = 28 2x + πr = 14 x = (14-πr)/2 A = x^2 + πr^2 = (14-πr)^2 /4 + πr^2 dA...
Tuesday, November 5, 2013 at 7:35am
2 x 3.25 = ?
Monday, November 4, 2013 at 9:47pm
Find the 7th term of arithmetic progression...12,20,28.
Monday, October 28, 2013 at 1:41am
3/8 = x/48 Cross multiply and solve for x. 8x = 144 x = 18
Friday, October 25, 2013 at 2:12pm
The terms 4x + 36, 2x - 6, and 3x - 27 are consecutive terms in an arithmetic sequence. What is the value of x ?
Friday, October 25, 2013 at 1:23pm