Videos uploaded by user “JJtheTutor”

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JJtheTutor

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Prove that the limit as x goes to 0 of x^4cos(2/x) = 0 using the squeeze theorem

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JJtheTutor

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How to adjust contrast or darkness on TI calculator

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between the ropes is 60.0°. If dog A exerts a force of 270 N and dog B exerts a force of 300 N, find the magnitude of the resultant force and the angle it makes with dog A's rope.

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JJtheTutor

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Evaluate the limit, if it exists - limit as x goes to -4 of (x^2 + 5x + 4) / (x^2 + 3x - 4)

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JJtheTutor

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For this problem, you are asked to identify the column space and null space of a matrix A i.e. find col(A) and nul(A) or N(A); C(A) depending on your classes preferred notations.

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JJtheTutor

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Linear Transformation - Standard matrix of T

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JJtheTutor

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y = c_1 e ^ x + c_2 e ^ (-x) is a two-parameter family of solutions

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Find an equation of the plane consisting of all points that are equidistant from two points.

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JJtheTutor

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round() - TI 83/84 - How to round a number to a specified decimal place

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JJtheTutor

An antelope moving with constant acceleration covers the distance between two points 70.0 m apart in 7.00 s. Its speed as it passes the second point is 15.0 m/s.
(a) What is its speed at the first point?
(b) What is its acceleration?

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JJtheTutor

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Description: How to take the 3rd, 4th, 5th...nth root of a number on the TI-83/84 calculator
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Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which was initially traveling at 40.0 m/s, is deflected 30.0° from its original direction, while asteroid B,which was initially at rest, travels at 45.0° to the original direction of A. Find the speed of each asteroid after the collision.
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Explanation of the coefficient matrices and the augmented matrices.

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Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. Understanding matrix operations in linear algebra.

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JJtheTutor

This lesson discusses the notations involved with the dot product, and the notation that is involved with the inner product. We will go more in depth in the actual book.

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JJtheTutor

A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s. (a) What is the mass of the block of ice? (b) If the worker stops pushing at the end of 5.00 s, how far does the block move in the next 5.00 s?

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Description: Verify that the indicated function y=5tan(5x) is an explicit solution of the given ﬁrstorder differential equation y'=25+y^2. Proceed by considering simply as a function, give its domain. Then by considering as a solution of the differential equation, give at least one interval I
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Description: What is the Pseudo-inverse or A-dagger? Linear Algebra - Non-invertable Matrix. This video explains the derivation of the Pseudo-inverse or dagger of a matrix involving inner products and projection matrices. How to solve Ax=b for a non square matrix A.
Note: 7:46 I left an A out here from the left side of the equation. It should be A(A^TA)^(-1)A^Tb where A(A^TA)^(-1)A^T is P, the projection matrix. or AA^{\dagger}
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JJtheTutor

A Fast Pitch. The fastest measured pitched baseball left the pitcher's hand at a speed of 45.0 m/s. If the pitcher was in contact with the ball over a distance of 1.50 m and produced constant acceleration, (a) what acceleration did he give the ball, and (b) how much time did it take him to pitch it?

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JJtheTutor

The position of a squirrel running in a park is given by S \vec{r}=[(0.280\frac{m}{s})t+(0.0360\frac{m}{s^2})t^2]\hat{i}-(0.0190\frac{m}{s^2})t^3\hat{j} (a) What are \vec{v}_x and \vec{v}_y, the x- and y-components of the velocity of the squirrel, as functions of time? (b) At t = 5.00 s, how far is the squirrel from its initial position? (c) At t = 5.00 s, what are the magnitude and direction of the squirrel's

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JJtheTutor

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Find the critical values of f(x) = x^(-2)*ln(x)

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JJtheTutor

A race car starts from rest and travels east along a straight and level track. For the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by v_x(t) = (0 .860\frac{m}{s^3})t^2. What is the acceleration of the car when v_x = 16.0\frac{m}{s}?

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A disoriented physics professor drives 3.25 km north, then 2.90 km west, and then 1.50 km south. Find the magnitude and direction of the resultant displacement, using the method of components. In a vector-addition diagram (roughly to scale), show that the result- ant displacement found from your diagram is in qualitative agreement with the result you obtained using the method of components.
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A bird is flying due east. Its distance from a tall building is given by x(t) = 28.0 m + (12.4 m/s)t - (0.0450 m/s^3)t^3. What is the instantaneous velocity of the bird when t = 8.00 s?

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Description: Solve x^3-8=0 an Algebra Complex Equation
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fnInt() - How to take a definite integral on a TI - 84 Calculator in Classic and Mathprint

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Determine by inspection at least two solutions of the given first-order IVP xy' = 2y

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This is a video lesson that will be the foundation of the next set of lessons for proving certain operations using index notations in a tensor calculus course.
Full library available via http://indexnotation.com

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Show That the Limit as x Approaches 0 of x^2sin(1/x) = 0 Using The Squeeze Theorem

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Description: The process, in which they are referring to in this problem is simply the limit definition of a derivative and then you evaluate the function. There are a couple other ways to go about this but I put it in the simplest form for this level of calculus.
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Description: In this video lesson you are asked to write the matrix of quadratic form into another form. Most problems in linear algebra are pretty straight forward if you understand the notation. Reference inner product.
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Workmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors.
(a) Find the x- and y-components of each of the three pulls.
(b) Use the components to find the magnitude and direction of the resultant of the three pulls.
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A jet plane is flying at a constant altitude. At time t1=0 it has components of velocity vx=90ms, vy=110ms. At time t2=30.0s the components are vx=−170ms, vy=40ms. (a) Sketch the velocity vectors at t1 and t2. How do these two vectors differ? For this time interval calculate (b) the components of the average acceleration, and (c) the magnitude and direction of the average acceleration.
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Determining if y is a function of x, a simple lesson that is easy to understand

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Description: Evaluate the limit, if it exists - Limit as x goes to -4 of ((1/4)+(1/x))/(4+x)
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Byron Beplay, AMGCD Program. CDA Tech goes way past anyone’s expectations of a trade school. From the very first day this staff will be with you step-for-step making sure you feel exactly like family and helping you to succeed. I loved this school and everyone here. So take it from me: Come join the CDA Tech commercial diving family and be a part of this awesome industry! Trey Lancaster, AMGCD Program. I went to a trade school and got my welding certification and that was not enough. I found CDA technical Institute online and decided to become a Commercial Diver because of my love for the water. I had the best time going through CDA Technical Institute and I would definitely recommend this school to anyone looking for a career in Commercial Diving. Brett Lamb, AMGCD Program.