Mathematics

Calculus problem: FInd the slope of the tangent line to the parabola

Find the slope of the tangent line to the parabola y=x^2+2x at the point (-3,3) using definition 1 and 2 of limits. Def 1 f(x)-f(a)/(x-a) Def 2 f(a+h)-f(a)/h-Using Def 1: Slope s = {f(x) - f(a)}/(x-a)

What do a, b, and c stand for in ax^2+bx+c

is a the slope and c the y intercept? whats b?-Great question.Unfortunately, its not quite that simple when you have a parabola in that form.But heres what you CAN tell: 1)The parabola will be U-shap

Math help? One question..word problem!

A company sells toys and makes 25x dollars for selling x toys. The cost of making x toys is 12x+1000 dollars. The profit is the difference: money made minus cost. Find a model for the profit.-P = $25x

Proof: Calculus and vectors

Prove that a parallelogram is a rectangle of and only if its diagonals are equal in length. This is in a calculus course, and we are going over vectors. SO please only proofs having to do with vector

A furniture company makes tables and chairs. Tables are sold for £120, and chairs for £40. (a) An order comes

dont understand this one-9 Tables is £1080, 17 chairs is £680. Total is £1760-Good Luck, cheers http://y101.info/62639/chair-table Gooooood luck (:-That is totally meaningless-£1760-We dont want to wa

A sandclock question

If you have 2 sandclock . One of the clock is 11 minute and one is 7 minute . How can you set time of 15 minute ?-you turn both of them over, when the seven minute one runs out then u turn that one ov

Suppose you are dealt a hand of 3 cards out of a stack of 12 face cards. Probability question, help

Im working on probabilities in my math class. Its a two part question: 1. Suppose you are dealt a hand of 3 cards out of a stack of 12 face cards (king, queen, and jack). How many possible combinatio

Help me on this problem

ln2=1-1/2 + 1/3 ... if we rearrange terms we get (1 + 1/3 + 1/5 + 1/7......) + (-1/2 -1/4 -1/6 ........) separating terms we get (1 + 1/3 + 1/5 + 1/7......) -1/2(1 + /2 + 11/3 + 1/4..............)

Maths HELP. About PERMUTATIONS AND COMBINATIONS.

The digits of the number 1223678bcan be arranged to give many different 7-digits numbers. Find how many different 7-digits numbers can be made if i) the digits 1,3,7 (in any order) are next to each o

Solve for x ---> Logarithms -- HELP PLEASE

how would u solve this? please help ln (x - 2) + ln (x - 5) = ln (x+ 3) How do you solve this and what answer do you get? Thanks-First simplify the left side of the equation using the rule that ln(

How would I check whether Z[sqrt(10)]/sqrt(10),2) is an integral domain

where (sqrt(10),2) is the ideal generated by those two elements.-Let R is a ring and J and ideal; then the ring R/J is an integral domain if and only if J is a prime ideal. All you have to do is show

How do I solve this integral

∫ (5e^x) / (3+e^x)-Let u = 3 + e^x → du = e^x dx .. 5 ∫ [ e^x / (3+e^x) ] dx = 5 ∫ ( 1 / u ) du = 5 ln(u) + constant = 5 ln(3 + e^x) + constant-∫ (5e^x) / (3+e^x) set: 3 + e^x = t --> e^x.dx = dt int

Polynomials: Px^2+qx+r=0

Why does 1/α^2 + 1/β^2equal tol q^2=2pr)/r^2if (alpha) and (beta) are the roots px^2+qx+r=0 alpha+beta=-q/palpahbeta=r/p I know we eventually get this by subbing =[(β+α)-2αβ]/(α+β)^2 Which equal to [

Simplify the question

(y^10 z^-5)^1/5 _____________ (y^-2 z^3)^1/3 Please show steps, thank you. I dont know if I got the right answer or not.-if you multiply the exponents, it becomes y^2 z^-1/y^-2/3z = y^2 / y^-2/3z^2 =

Factoring this expression..

Can someone please help me understand how to get from this: 3pv - p + 9/v - 3/v² = 8t To this: (p + 3/v²)(v - 1/3) = 8t/3 How do you factor when you have things like 1/v², etc..? Please show steps a