Mathematics

Limits for piecewise function help

The graph of the function f is made of the transforms of parts of the graphs ofy=√x , y=1, y= 1/x http://imageshack.us/photo/my-images/231… lim x-> +∞f(x) = lim x-> -∞f(x) = lim x-> -1^+f(x) = lim x

Find the shortest distance between the plane and paraboloid

Find the shortest distance between the plane 4x+2y -z = 20 and the paraboloid z = x^2 + y^2, using Lagrange Multipliers Method. Thanks for your help..-Note the plane and paraboloid do not meet, for if

Does this series converge or diverge

Let a_n be the n_th positive integer whose decimal representation does not contain the digit 9. Does the series ∑(n = 1, ∞) 1/a_n converge or diverge? Thank you.-The sum converges. The number c(n) o

A projectile is shot with a vertical velocity of v = 83 m/s. Its height at t seconds is given by s = vt + ½gt

A projectile is shot with a vertical velocity of v = 83 m/s. Its height at t seconds is given by s = vt + ½gt2 . The value of g is -9.8 m/s2. Determine the time when the altitude is (a) 345 m (b) 397

Math help!!!!!!!!!!!!!!!!!!!

Find the length of the radius for this circle. (x - 3)² + (y - 5)² = 8-2 root 2-Crazy that an answer with no working is chosen as best.Report Abuse-The equation of a circle is (x - a)² + (y - b)² = r

Cos (270+x) is equivalent to:

Cos (270+x) is equivalent to: A: -Sinx B: Cos x C: Sin X D: -Sin x (I know it is repeated, idk why on my test)-By the cosine addition formula: cos(A + B) = cos(A)cos(B) - sin(A)sin(B). With A = 270

I need help with proving trigonometric identities!

I dont even know where to start. :( a) (sin10x)/(sin9x +sinx) = (cos5x)/(cos4x). b) (sinx)/(sin x/2) - (cosx)/(cos x/2) = (sec x/2) I can only use the following identities: Reciprocal, Pythagorean

Solving for fraction of total weight......

One adult and 10 children are in an elevator. If the adults weight is 4 times the average (arithmetic mean) weight of the children, then the adults weight is what fraction of the total weight of the 1

A Grade 10 Mathematics Question

This is a Mathematics Question below. Please just simply answer the question without any comments like I dont know the answer, or something. NOTICE TO PEOPLE OUTSIDE INDIA: Hindi is a language subject

Are planes infinite..

Like with vectors and planes. Say, if the equation of a plane is = [3, 0, 1] + t[-3, 1, -2] + s[1, -1, -1]. Does this just tell you the orientation of the plane or do the planes only extend so far?-

How to work out this maths question

√7×7= please tell me what is this and how it works. i have no idea about it and i dont even know what it is called. so ifknow tell me how they work. thanks in advance-This equation is the same as 7^(

What is the exact value of the expression √ 32 + √ 75 - √ 98

can you please help me with this problems i would greatly appreciate the help , thank you. what is the exact value of √ 3/7x , thank you-√ 32 + √ 75 - √ 98 = √ 16*2 + √ 25*3 - √ 49*2 = 4√ 2 + 5√ 3 -

Determine vector equation of a plane

with the point A(1, 1, 2) and perpendicular to the line joining B(2, 1, -6) & C(-2, 1, 5). I cant figure out how to do this in 3 dimensions.Im given one point on the plane.The line gives me 2 points

Algebra homework help please

Simplify : 1) 7xy + x + 3y 2) -xy^2 + y^2 + 3xy^2-You cant simplify the first one because there are no like terms. The second one can be simplified to 2xy^2 + y^2

What is the product of y+1 and y+9

The answer would be y^2+10y+9. Just remember FOIL.First, Outer, Inner, Last.Youll get y*y+9y+1y+9*1 which simplifies to y^2+10y+9.-foil method: (y+1)*(y+9) = y^2 + 9y + 1y + 9 = y^2 +10y +9-y² +10y+9