Mathematics

Help with ellipses in precalc

Find the equation of the following eclipse. Focus (0,+- 2), length of the major axis is 8.-x^2/12 + y^2/16=1. The length of the major axis is 8, so you know that your vertices are (0, 4) and (0, -4)

Can someone help me solve this math problem???? PLZ

In a right triangle, one leg of this triangle represents a distance of (5 SQUARE ROOT 3) miles. the other leg of the triangle is 5 miles shorter then the hypotenuse. What are the lengths of the three

What is the derivative of F(x) if F(x)= integral (from o-x) of 1/(t+1)

(d/dx) ∫(from o-x)dt/(t+1) = (d/dx)[(from o-x) ln(t+1)] (d/dx)[ln(x+1) - ln(0+1)] = (d/dx)[ln(x+1)] = 1 / (x+1) >================-derivatives undue integrals d/dx F(x) = 1/t+1 from 0-x which equals 1/

Subtract: (6x+1 )- (-7x+2)

please show the steps...-(6x+1)-(-7x+2) 1. Distribute the minus in the middle (6x+1)+(7x-2) 2. Now simply add6x+7x = 13x1+-2=-1 3. Put everythin together the final answer is13x-1-(6x+1)-(-7x+2) -

What is the derivative of y=π^sinx

y=π^sinx-y = π^sinx (Take the natural logarithm of both sides) ln(y) = ln(π^sinx) ln(y) = sinx * ln(π) (Differentiate both sides) 1/y * dy = cosx * ln(π) dx (Isolate dy/dx) dy = ycosx * ln(π) dx dy/dx

Help with cubic functions question

the question is mutiple choice, but i have to work it out. its says: Factorising (x+2)^3 - x^3 yields: a) x(3x^2+6x+4) b) 2x(3x^2+6x+4) c) 2(3x^2+6x+2) d) x(3x^2-6x+4) e) 2(3x^2+6x+4) I know, y

Statistics guru needed to help with this one

After analysing data for a long period of time, it was determined that samples of 500 readings of an organic pollutant for an area are normally distributed. For this pollutant, Pollutant mean = 3.20 u

Vectors (involving parametric)

10. For the line L : r= (1,-5) + s(3,5), sER determine the following: a. an equation for the line perpendicular to L, passing through P(2,0) b. the point at which the line in part a. intersects the

Can you help Identify the equation y=2x-5 as linear or not linear.

and Identify the equation y=2x3 as linear or not linear. Why is y=3x2 not linear? A. there is not a constant change in the x-value B. a constant change in the x-value does not correspond to a constan

Algebra 1 homework help

The base of a triangle is 2x + 2m and the are is 2x^2 - x - 3m^2 . Find the height of the triangle. ( Area = 1/2bh)-Let 2x + 2 denotes the base and 2x² - x - 3 denotes the area.This gives us: 2x² - x

Do you think it's possible to build a pyramid that has exactly 16 edges

please Please PLEASE help! thanks(:-Yes, its called an octagonal pyramid.-Sure, if you have a base of an octagon.

Find the LCM: 12a^2+24a, 4a2+20a+24

Please show steps/detail... to why you are doing that step :)-1st is 4 * 3a ( a + 2 ) and 2nd is 4 ( a + 2 )(a + 3 ) thus you need4 & 3 & a & a + 2 & a + 3 12 a ( a + 2 ) ( a+ 3 ) is LCM

X2(2=square)+18x+81=0?Quadratic Equation

x² + 18x + 81 = 0 Δ = b² - 4ac = 18² - 4.1.81 = 0 So that only one solution => x = -b/2a = -18/2 = -9 Or x² + 18x + 81 = 0 x² + 2.9.x + 9² = 0 (x + 9)² = 0 x + 9 = 0 x = -9

Let Φ: R⇒S be a ring homomorphism. Prove....

1. If ker(Φ) is a subring of R, then ker(Φ) is an ideal of R 2. If S is an integral domain, then ker(Φ) is a prime ideal of R. sooo confused-1. A subring K of R is also an ideal if: kr is in K, and

HELP SUPER EASY BUT I CANT SEEM TO FIGURE IT OUT!!!!!!!!!!

Two stores carry the exact same shoes and they are both having sales this weekend. The shoes at store A normally cost $36.10 and are on sale for 15% off. The same shoes at store B normally cost $42.50