To supplement O-Dan's circuit info, the following link is specific to Bipolar Junction Transistors (BJT), and in particular, covers their special switching applications (which is probably what you're looking for). Check the links below. (First link is main article, in which you'll need to...
SOLUTION HINTS:
This problem is designed to distinguish between RMS and Peak values of Voltage, Current, and Power for a purely resistive load. We are given:
{RMS Voltage} = (240 V)
{RMS Power Rating for Resistive Load} = (1000 W)
For standard AC systems, we know that:
{RMS Power} = {RMS...
SOLUTION HINTS:
You did very well so far!!
When indexing a vector result, remember to indicate the LEFT side component with the FREE index ("i" in this case). Thus, your result should have been (note the "i" subscript added on the LEFT side):
(Note: To save time, the constant fraction...
For Problem #1, solve for "c" which makes the estimator unbiased, which (in this case) involves setting the Eq #2 integral equal to (1/θ). See Problem #1 statement for other info.
An estimator \hat{\omega} of distribution parameter \omega is Consistent if 2 conditions are satisified:
4...
HINT:
Since fluid pressure ⊥ Hatch Surface:
1: \ \ \ \ \textsf{Torque} \ \, = \, \ \int_{Hatch} r \, P \ dA
where "r" is the distance of Area Element "dA" from the Reference Point or Axis, and "P" is the fluid pressure on Area Element "dA". Both "r"and "P" will be functions of Area...
{Volume of Container} = V = (24.8 liter)
{Moles of Water in Container} = n = (5.7 grams)/(18 grams/mole) = (0.3167 moles)
{Temperature} = T = (115.8 degC) = (388.9 degK)
{Ideal Gas Constant} = R = (0.08206 Liter*atm/(mol*degK))
Use the Ideal Gas Law to calculate Pressure "P" in units of...
The graphs should be different. Unfortunately, without seeing what you've done or the results therefrom, it's difficult to help. Can you provide more details concerning your transformations and provide images of the graphs??
To provide images of your graphs, upload to the site shown below...
O-Dan:
You're certainly correct that there might be some confusion regarding notation in this thread. Nevertheless, the objective of Msg #9 (and subsequently of Msg #11) was to present this concept:
5: \color{red}\ \ \ \ \ \ \left |
\begin{array}{ccc}
a_{1} & a_{2} & a_{3} \\
b_{1} &...
.
For Mathman23:
*** POP QUIZ ***
Given two (2) vectors {V1, V2 ∈ \mathbb{R}^{3}}, state a necessary and sufficient condition that these vectors are Linearly Independent.
CLICK BETWEEN DASHED LINES BELOW To Reveal Answer In Pop-Up Window
---------------------
\color{white}...
SOLUTION HINTS:
{# in C Block} = 3
{# in A Block} = 4
{# in M Block} = 2
a)
There are (3!) arrangements of the 3 Block Units. For each Block Unit arrangement, there are (3!) sub-arrangements within the "C" Block, (4!) sub-arrangements within the "A" Block, and (2!) sub-arrangements...
For the homogeneous case, if 1 non-trivial solution exists, then an infinite number exist (and of course the vectors are dependent).
It should also be noted that Linear Independence for given vectors {V1, V2, V3 ∈ \mathbb{R}^{3}} is usually stated in terms of:
2: \ \ \ \, \ \ \ \ \ \...
.
Try the tutorial on Factoring available at the Web Site shown below:
Navigate thru its 11 lessons by clicking the "NEXT" button when finished with each page. Have patience, start with the most basic lesson, and proceed carefully thru all the material. (Some pages take longer to load...
The following summarizes and clarifies info already presented or referenced in this thread.
Define three vectors {V1, V2, V3 ∈ \mathbb{R}^{3}} by the following:
(Note: This definition differs from OP's.)
1: \ \ \ \ \vec{V}_{1} \ = \ \left [
\begin{array}{ccc}
a_{1} \\
b_{1} \\...
a) Square both sides.
b) Sub {1 - cos2(θ)} for sin2(θ).
c) Sub {x = cos(θ)}.
d) Solve quadratic.
e) Determine all candidate "θ" solutions.
f) CHECK EACH candidate "θ" solution with ORIGINAL EQUATION.
~~
The value of slope "m" corresponds to the value of "k". You are essentially fitting {F = k*x + b}, where "k" is the slope, "x" the displacement, and "b" the intercept ("b" should be close to 0). The value of {"Std Dev of Slope"} given by the regression corresponds to the "uncertainty Δk" in...
This is an indirect proof by contradiction. We first presume that only a finite number "R" of primes have form (4*nj + 1), where {nj, j=1,2,3,...,R, ∈ Integers}. We define integer "Q" with the following, where the product is over all "R" primes of form (4*nj + 1):
1: \ \ \ \ Q \ = \...
If you have no regression software available, the Web Site below computes Linear Regression Slope and Intercept with corresponding error values for each. Scroll down page to use, input (x,y) data into individual boxes provided, type "0.95" for "confidence level", and click "calculate"...
Here's an alternate approach similar to those previously given except based on the ∇ operator:
Given: Plane W ≡ {x + 3*y - z - 7 = 0}
Required: Plane T ⊥ W containing Points P1=(2, 0, 5) and P2=(0, 2, -1)
Step #1:
Given Plane W ≡ {f(x,y,z) = 0}, then (∇f) ⊥ W and parallel to required...
Torque vector \vec{\tau} is only defined when 3 items are specified: 1) Reference Point "P", 2) Application Point "Q", and 3) Force vector \vec{F}. Speaking generally about a "normal force" doesn't provide enough information to properly determine the torque vector. If you completely specify...
Because torque "τ" is mathematically determined by TWO points: 1) Point "Q" where Force "F" is applied, and 2) Reference Point "P" about which "τ" is calculated. Force "F" might be normal to the Brick's surface, but it's not normal to the vector "R" pointing from Reference Point "P" to...