I am going to pursue an Aerospace Engineering Degree. I have always loved STEM especially Math and science. I love helping others with any problems they might have so that they can enjoy STEM as much as I do.
Writing Write a short paragraph explaining why a continuous function on an open interval may not have a maximum or minimum. Illustrate your explanation with a sketch of the graph of such a function.
When you solve a system of equations by the substitution method, how do you determine whether the system of equations is dependent? How do you determine whether the system of equations is inconsistent?
Use this system of equations:(1) $\quad y=3 x-5$(2) $\quad x=2$To solve the system by substitution, substitute ________ for $x$ in equation ( 1) $y=3(2)-5=$ ________.The solution of the system of equations is (_______,_______).
Determine whether the statement is true or false.For one year, you have $x$ dollars deposited in an account that pays $7 \%$ annual simple interest. You will earn $0.07 x$ in simple interest on this account.
Determine whether the statement is true or false.If you have a total of $\$ 8000$ deposited in two accounts and you represent the amount you have in the first account as $x,$ then the amount in the second account is represented as $8000-x$
Determine whether the statement is true or false.The amount of interest earned on one account is $0.05 x,$ and the amount of interest earned on a second account is $0.08(9000-x) .$ If the two accounts earn the same amount of interest, then we can write the equation $0.05 x+0.08(9000-x)$
A bicycle rider of mass 60 kg generates a power of 400 W when riding at a moderate pace. Of this energy, about 25% is used to propel the bicycle, and the remaining 75% goes into heat generated within his body. If none of this heat were lost to the surroundings, how much would the cyclist's body temperature increase after 1 hour of riding?
A typical single lens reflex camera has a converging lens with afocal length of 50.0 mm. What is the position and size of theimage of a 25 cm candle located 1.0 m from the lens? Sketch alarge ray diagram and label it.
How does optics relate to other branches of science? Optics is related to which three branches of science?
If a company has a cost curve of TC = 550 + 2Q +Q2 and it produces 100 units per day, then itsfixed cost is$550.$752.$0.$650.
A rod moving with speed of 0.995c is found to have a length of 2.0 m and make an angle of 30.0° with respect to the direction of motion. i). Determine the proper length of the rod.ii). Calculate the orientation angle in the proper frame.
Consider the following matrix:
A = egin{pmatrix} 4 & -8 & -8 \ 0 & 4 & 0 \ 0 & -4 & 0 end{pmatrix}
a) Find ALL the eigenvalues of A.b) Find ALL Linearly Independent Eigenvectors of A.c) Is A invertible? Explain, briefly, why or why not.d) Is A diagonalizeable? If it is, write down:(a) The matrix P that diagonalizes A(b) The corresponding diagonal matrix, D, given by P^{-1}AP. (No need to COMPUTE anything, just write down the diagonal matrix.)
