Question

Anyone supper-duper good at explaining calc (A/B) and want to help me with several questions?

Answer 1

and i officially can't spell...

Answer 2

Define super-duper good

Answer 3

SUPER DUPER GOOD = HERO

Answer 4

well i just need to be able to understand it, like do people usually understand you?

Answer 5

saifoo this is the link http://openstudy.com/#/updates/4edc24e1e4b01b4ec4928501

Answer 6

okay...well i'm just gonna ask my first question.

if m is the slope of the curve xy=2 and n is the slope of the curve \[x^2-y^2=3\] then what is the point of intersection of the two curves?

Answer 7

Is that all? You can do that without calculus

Answer 8

hey now, its late. but yes thats it

Answer 9

You can use substitution to find the values

I get y = 2sqrt{3}/sqrt{5}

Answer 10

you can substitute that back into the original equation to find the x value

Answer 11

I get x = 2
to make y look prettier, rationalize the denominator

Answer 12

okay.. well its a multiple choice question and the choices are

m= -n
mn= -1
m= n
mn= 1
mn= -2

Answer 13

i should have said that in the first place, sorry

Answer 14

if the slope of that one curve is m and the slope of that other curve is n
if they are perpendicular then they will have intersection when mn=-1

Answer 15

it doesn't say if they are perpendicular or not

Answer 16

m=-y/x and n=x/y
m*n=-1

Answer 17

the slopes are negative reciprocals

Answer 18

oh! okay

Answer 19

okay here's another one.
the line y= 3x + k is tangent to the curve \[y= x^3\] then k is equal to...
a) 1 or -1
b) 0
c) 3 or -3
d) 4 or -4
e) 2 or -2

Answer 20

how do you find a tangent line to y=x^3?

Answer 21

if y=x^3, what is y'?

Answer 22

3x^2

Answer 23

and say we wanted to find the tangent line to y=x^3 at x=a with slope 3
y'|=3a^2=3 => a=pm 1

and i said slope 3 since we are saying to find the tangent line to y=x^3 that has form
y=3x+k

so we have

y=3x+k

if x=1, then y=(1)^3=1

1=3(1)+k solve for k

if x=-1, then y=(-1)^3=-1

-1=3(1)+k solve for k

Answer 24

myininya? please check the questions list.

Answer 25

thanks!

Answer 26

next question...
two tangents that can be drawn from the point (3,5) t o the parabola y=x^2 have what slopes?
1 and 5
0 and 4
2 and 10
2 and -1/2
2 and 4