Estimate the area A between the graph of the function f(x)=
square root of x and the interval [0,49]. Use an approximation
scheme with n=2,5, and 10 rectangles. Use the right
endpoints.
Round your answers to three decimal places.
A2=
A5=
A10=
Click
Use f(x) = ?2x, g(x) = square root of x and h(x) = |x| to find
and simplify expressions for the following functions and state the
domain of each using interval notation. a . (h ? g ? f)(x) b. (h ?
f ? g)(x) (g ? f ? h)(x)
1.)
a. Create a graph of the data below, then calculate the slope to
find the spring constant 'k'.
b. Describe the functional relationship between all of this data
(in other words, how does all of this connect?)
c. Calculate the gravitational potential energy and the spring
potential energy of the 0.2, 0.4, 0.6, 0.8, and 1.0 kg masses.
d. Are there any patterns between these two types of potential
energy? Why or why not?
Mass (kg)
m * g...
Order
Integrated Rate Law
Graph
Slope
0
[A] = −kt + [A]0
[A] vs. t
-k
1
ln[A] = −kt + ln[A]0
ln[A] vs. t
-k
2
1/[A] = kt + 1/[A]0
1/[A] vs. t
k
Part A
The reactant concentration in a zero-order reaction was
5.00×10−2M after 115 s and
3.00×10−2M after 325 s. What is the rate
constant for this reaction?
K0th = 9.52x10-5 M/s
Part B
What was the initial reactant concentration for the reaction
described in...
4. Use a proof by contradiction to show that the square root of
3 is irrational. You may use the following fact: For any integer k,
if k2 is a multiple of 3, then k is a multiple of 3. Hint: The
proof is very similar to the proof that √2 is irrational.
5. Use a direct proof to show that the product of a rational
number and an integer must be a rational number.
6. Use a proof by...
1.
Does adding more mass change a slope of the angular velocity vs
time graph? why?
2. Does changing the radius the string is wrapped around
change the slope of the angular velocity vs time graph? If so,
how?
3. instead of mass, ehich quantity do we talk about in twrms
of rotational motion? write down common formula.