Numerade

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Simplify your answer. tan(2\theta )=(2((12)/(5)))/(1-((12)/(5))^(2)) Simplify your answer. $$\tan (2\theta) = \frac{2\left(\frac{12}{5}\right)}{1-\left(\frac{12}{5}\right)^2}$$

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CH7: Dr. Abdellatif designed a study to determine whether female preschoolers prefer sweetened or unsweetened cereal. The researcher used a box of sweetened colourful cereal and a box of unsweetened tan coloured cereal. The researcher found that the preschoolers ate more of the sweetened colourful cereal and concluded that preschoolers prefer the sweetened cereal. Which two variables are confounded in this experiment? Question 42 options: a. sweetness of the cereal and colour of the cereal b. colour of the cereal and children's gender c. sweetness of the cereal and children's gender d. sweetness of the cereal and portion amount

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Which of the following is NOT a qualification for the president and vice president? be at least 35 years old. be a resident of the U.S. for the previous fourteen years. be a natural-born citizen of the United States. be a naturalized citizen of the United States for 20 years.

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When scientists split the world up into biomes, about how many are there usually? thousands... too many to count 3 a dozen over a hundred

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Abbey is a social worker who places children 12 and older in foster homes. Often times, this process includes taking children from their current homes because they have been deemed unsafe by the courts. Abbey talks often about how emotional she gets when doing her job. While Abbey might feel like crying or getting upset in front of her foster kids, she knows this emotional behavior would not be appropriate for her to display at work. What organizational dilemma is Abbey experiencing? Emotional Stress Emotion Labor Burnout Work/Life Balance

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(12) Let us try to understand the equation AB-BA=M. Let F be any field and let A and B be two matrices in M_(n imes n)(F). Assume that F is an algebraically closed field or you can solve the problem for any field by using the fact that every field F is a subfield of an algebraically closed field. (a) Assume that F=C. Show that if A and B are both diagonalisable then M=A has no non-zero solutions. (b) Assume that M is a matrix with M=(m_(ij)) such that Tr(M)=0 and sum_(i=1)^(n-1) m_(i,i+1)= 0 and m_(ij)=0 for all j>=i+2. Show that AB-BA=M has a solution. (Hint: Consider the matrices K=(k_(ij)) and B=(b_(ij)) such that k_(j+1,j)=1 for all k_(ij)=0;b_(i1)=0b_(i,i+3)=0MAB-BA=M1<=j and all other k_(ij)=0;b_(i1)=0 and b_(i,i+3)=0 12) Let us try to understand the equation AB - BA = M. Let F be anv field and let A and B be two matrices in Mnxn(F). Assume that F is an algebraically closed field or you can solve the problem for any field by using the fact that every field F is a subfield of an algebraically closed field. a) Assume that F = C. Show that if A and B are both diagonalisable then M = A has no non-zero solutions. 0 and mii = 0 for all j i + 2. Show that AB - BA = M has a solution.(Hint: Consider the matrices K = (kij) and B = (bij) such that kj+1,j = 1 for all 1 j < n and all other kij =0; bi1 =0 and bi,i+3 =0) (c) Show that any matrix M with trace zero has solutions to the equation AB-BA = M

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Please write a 400-word minimum reflection on communication apprehension. Be sure to include the following in your reflection: discuss at least three takeaways about the communication models and benefits from public speaking in the textbook readings and videos, reflect on personal fears of public speaking, and discuss what confidence-building strategies would work best for you.

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Consider the following. $y = x^3 - 9x^2 + 27x - 18$ y 20 18 16 14 12 10 8 6 4 2 x -2 -1 1 2 3 4 5 6 (a) Estimate the coordinates of the relative maxima, relative minima, or horizontal points of inflection by observing the graph. (If an answer does not exist, enter DNE.) relative maxima $(x, y) = ( ) relative minima $(x, y) = ( ) horizontal points of inflection $(x, y) = ( ) (b) Use $y = f'(x)$ to find the critical values. (Enter your answers as a comma-separated list.) $x = $ (c) Find the critical points. $(x, y) = ( )$

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3. Why a deep-bar cage rotor is used? Briefly describe it. What NEMA design class(es) can be built with that? (4 marks)

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3. Energy of a non-uniform spherical charge distribution. Distribute charge onto a sphere of radius $R$ so that the charge density is $\rho(r) = \begin{cases} \rho_R \frac{r^2}{R^2} & 0 \le r \le R \\ 0 & \text{otherwise}, \end{cases}$ where $\rho_R$ is the volume charge density at the edge. (a) Compute the potential $V$ and electric field $E$ everywhere. (b) Compute the energy of this charge distribution, using $V$ and $\rho$. (c) Compute the energy of this charge distribution, using $E$.

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manuel p.