Mathematics

Find the Discriminant.

Find the number of real solutions of the equation x squared-18x+81=0 using the discriminant-b^2 - 4ac = 0 in that eq x^2 - 18x + 81 = 0 a = 1 b = -18c = 81 so (-18)^2 - 4(1)(81) 324-324 = 0-x^(2

Can someone solve this identity pls

(tan²θ - sin²θ)/sin²θ = tan²θ-(tan²(θ) - sin²(θ))/sin²(θ) = csc²(θ)(tan²(θ) - sin²(θ)) = sec²(θ) - 1 = tan²θ-Dont listen to that idiot - here is a better way: (tan²θ - sin²θ)/sin²θ = tan²θ(multiply

Trig: how to factor this : cos^4 x - sin^4 x please help i am so lost on this problem and it seems easy D;

and you can help verify this identity too if you want: sin(A+B) / cosAcosB = tanA + tanB-cos⁴x - sin⁴x = (cos²x - sin²x)(cos²x + sin²x) = (cosx - sinx)(cosx + sinx)(1) = (cosx - sinx)(cosx + sinx) No

Find the value of A for which 1+e^a + e^2a+...= 12 PLEASE HELP?!

This is for calc 2.please show your work im very confused Find the value of A for which 1+e^a + e^2a+...= 12-Note that 1 + e^a + e^(2a) + ... is a geometric series with a first term of 1 and a comm

Help!! Trigonometric Identities Question!

Prove! Show the substitutions used sin x/cot^2 x-sin x/ cos^2 x = -sin x-Hi. (sinx / cot²x) - (sinx / cos²x) Substitute cot²x = cos²x/sin²x: = (sinx / (cos²x/sin²x)) - (sinx/cos²x) = (sinx)(sin²x/

Calculus: average temperature

a piece of steel at 1500 degrees F is removed from the oven and placed in a room at 70 degrees F. The temperature T of the steel, t minutes after it starts cooling, is given by T = 70 + 1430e^(-0.3t).

What is the first derivative of y = (4x^2-6x+9)/(2x-1)

Quotient rule: f(x) = u/v, f(x) = (vu - uv)/(v^2) (2x - 1)(8x - 6) - (4x^2 - 6x + 9)(2) --------------------------------------… (2x - 1)^2 16x^2 - 20x + 6 - 8x^2 + 12x - 18 -------------------------

How to find the measure of an angle of a circle

it looks like this... http://www.flickr.com/photos/62069060@N02/5649873079/in/photostream its 88 degrees in case you cant really read it Q: find the measurement of angle JLM-Because JL and KM are b

RE: HOW TO FIND THE INDICATED ANGLE OR ARC

the problem looks like this http://www.flickr.com/photos/62069060@N02/5650463240/in/photostream given that measurment arc LM=84 and measurmen arc KN=116 fixed it, thanks-I know you fixed it but I

How do i evaluate this.................

f(x,y)= 2x^2y + 8In(xy) 1) evaluate ∂.f / ∂.x at (x, y) = (4 , 1) 2) evaluate ∂.f / ∂.y at (x , y) = (4 , 1) thank you-f(x,y)= 2x^2 y + 8In(xy) 1) ∂f /∂x = 4xy + (8y/xy) = 4xy + (8/x) at (4, 1),

Pleasee someone help me

an angle that measures -425 is drawn in standard position. in what quadrant does its terminal ray lie? the tip of a pendulum travels through an arc of 2.5 feet. if the pendulum has a length of 5 feet

Find the Laplace transform of y(t) where y is defined by the initial value prob y''+18y'+81y=0;y(0)=16y'(0)=19

Find the Laplace transform of y(t) where y is defined by the initial value problem: y+18y+81y=0 y(0)=16 y(0)=19 Use s as the independent variable for the transformed function. L(y(t))=?-Apply L

Any help on this partial derivative question

The fallout, in kilograms per square kilometer, from a volcano eruption is given by V(s , t)= √ t e^ -s where s = distance from the volcano and t = time. ∂^2. V / ∂. t^2= ∂.^2 V / ∂. s ∂. t = t

Sole by completing the square

solve x squared-6x-13=0 by completing the square-x² - 6x - 13 + 13 = 0 + 13 .. x² - 6x = 13 since x² - 2(x)(b) + b² = (x + b)², so x² - 6x + (-6/2)² = 13 + (-6/2)² (x - 3)² = 13 + 9 = 22 √(x - 3)² =

Find the (5th) term in the sequence -4, 2, -1, 1/2 .....

It is a geometric sequence of base r =(-1/2) Tn = a(r)^(n-1) fth term = -4(-1/2)^4 = -1/4-You have to find the pattern in the sequence firstYour dividing by -2 as the sequence increases Just continue