the equation of the tangent to the curve 2x 2 - y 4 = 1 at the point (1,1) is this
DESCRIPTION
The equation of the tangent to the curve 2x 2 - y 4 = 1 at the point (1,1) is this. What is y=x?. is this. What is infinity?. is this. What is + C. is also this function. What is ?. - PowerPoint PPT PresentationTRANSCRIPT
The equation of the tangent to the curve 2x2 - y4 = 1 at the point
(1,1) is this.
What is y=x?
What is infinity?
x 2
5lim
x 2
is this.
is this.
What is + C
1dx
x ln x
21(ln x) C
2
is also this function.
What is ?
2sin(2x) cos (2x)dx
31cos (2x) C
6
If f(x) is continuous,f(1) = 8 and f(4) = -3, this theorem
tells me that f(x) must pass the x-axis at least once between
x=1 and x=4.
What is the Intermediate Value Theorem?
The Mean Value Theorem tells us that if a function is differentiable on an interval then there is a value in
that interval at which the slope of the tangent line is equal to this quantity.
What is the average rate of change on the interval?
Or
What is the slope of the secant line?
The derivative of y = ln(u) with respect to x is this.
1 du
u dxWhat is ?
This graph can assist in visualizing the solution to a
differential equation.
What is a slope field?
has a horizontal asymptote at this line.
What is y=0?
4 2
2 5
3x 2x x 1y
5 2x 3x
These are values where the derivative of a function is zero or
undefined.
What are critical points?
This ancient mathematical cult hid the existence of irrational
numbers fearing their impact on mathematics.
Who are the Pythagorians?
This mathematician is most well known for the theorem stating that has no integer
solutions for a, b, and c when n is a natural number greater than 2.
Who is Fermat?
n n na b c
This famous mathematician / computer scientist was submitted
to experiments using drugs because of his sexual preference.
Who is Alan Turing?
This French mathematician died in a duel at the age of 20…
leaving behind a legacy of hastily scribbled theorems.
Who is Evariste Galois?
This is the full name of the English mathematician who co-created the study of Calculus.
Who is Sir Isaac Newton?
is this.
What is ?
a
dlog u
dx
1 du
(ln a)(u) dx
The area between y = x2 and y=x is this number.
What is 1/6?
gives this family of functions.
What is ?
2
3
3x 2dx
x 2x 6
3ln x 2x 6 C
The slope of the tangent line to the curve given by
xy2 + 2xy + 3x = 4 when x = 2 is this.
What is undefined?
The area between the graphs of cosx and sinx between two consecutive intersection points.
What is ?2 2
sin2(4θ) + cos2(4θ) is always this number.
What is One?
As long as b≠0, then if logba=0, a must be this
number.What is 1?
The limit of (sin x)/x as x approaches zero.
What is one?
The area between x=0 and x=π bounded by the
x-axis and the sine function.
What is 1 +1?
Song by Bob Marley whose title might have
been a better name for this category.
What is “One Love”?
DAILYDOUBLE
DAILYDOUBLE
FINALJEOPARDY
CALCPARDY
200 200 200 200
400
600
800
400
600
800
1000
400
600
800
1000
400
600
800
1000
Th
eore
ms
Ap
plie
d
Pot
-Pou
rri
Mat
he-
mat
icia
ns
Pro
ble
m
Sol
vin
g
Th
e L
onel
iest
N
um
ber
200
400
600
800
1000
F
1000
The formula for the surface area of a sphere
If f(x) is continuous,f(1) = 8 and f(4) = -3, this theorem
tells me that f(x) must pass the x-axis at least once between
x=1 and x=4.
What is the Intermediate Value Theorem?