Numerade

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Example: A runner's marathon time is 4 hours, with the mean time being 4.5 hours and a standard deviation of 0.5 hours. Calculate the Z-score and find the percentage of runners who took longer.

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The only heat transfer process that can occur across a vacuum is radiation conduction convection sublimation

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What is the oxidation number of S in the compound Na$_2$SO$_3$?

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What do you understand by Monetary Policy? What happens when the federal reserve increases interest rate? Decreases interest rates? How does it affect businesses? Consumers?

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imagine that producers of gold are typically barely able to change the quanitty of gold they produce in the short-run; that is, the supply og fold is highly unresponsive to price changes in the marker for gold.

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Given that $ f(x)=1-x^{2} $ and $ g(x)=\sqrt{x^{2}-1} $, determine the following; (a) The domain and range of $ f(x) $ and $ g(x) $ (b) $ (f \circ g)(x) $ and $ (g \circ f)(x) $ (c) $ f^{-1}(x) $ and $ g^{-1}(x) $ determine; (a) The values of $ a, b $, and $ p $ (b) The roots of $ f(x) $

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The figure below shows a three-link robot. The system has three DOFs and the joint rotations are Theta =[[ heta _(1), heta _(2), heta _(3)]]^(T). The link lengths shown in the figure are L_(1)=L_(2)=L_(3)=L_(4)=1m. The base frame is set as x_(0)Y_(0)Z_(0) in the figure. The end effector of the manipulator is located at P. Answer the following questions: e) Determine the transformation matrix (^(i-1)(T), i=1,2,3) for each frame using the modified DH notation. (3%) The figure below shows a three-link robot. The system has three DOFs and the joint rotations are =]. The link lengths shown in the figure are L=L=L=L=1 m. The base frame is set as X YoZo in the figure. The end effector of the manipulator is located at P. Answer the following questions: revolute revolute revolute e) Determine the transformation matrix T, i=1, 2, 3) for each frame using the modified DH notation. (3%)

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3.) Below is a wire bent into a half circle of radius, R. There is a positive charge +Q distributed uniformly across the length of the wire. The wire is in the x-z plane. There a point, P, a distance, y, from the origin on the positive y-axis. a.) Find the expression for Delta Q in terms of lambda and any other necessary terms. b.) Find the expression for r. c.) Find the expression for the electrical potential difference at point P due to Delta Q. d.) Integrate your expression in part c to find the final expression for the electrical potential difference at point P due to the entire charge on the wire. 3.) Below is a wire bent into a half circle of radius,R.There is a positive charge +Q distributed uniformly across the length of the wire. The wire is in the x-z plane. There a point, P,a distance, y, from the origin on the positive y-axis. a.) Find the expression for Q in terms of and any other necessary terms. b.) Find the expression for r. c.) Find the expression for the electrical potential difference at point P due to Q difference at point P due to the entire charge on the wire.

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If $g(\theta) = \frac{\sin(\theta)}{\theta}$, find $g'(\theta)$ and $g''(\theta)$. $g'(\theta) = $ $g''(\theta) = $

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Find an eigenbasis (a basis of eigenvectors) and diagonalize. Show the details. $\begin{bmatrix} -1 & 2 & -2 \\ 2 & 4 & 1 \\ 2 & 1 & 4 \end{bmatrix}$, $\lambda_1 = 5$ The Answer is $D = \begin{bmatrix} -1 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 5 \end{bmatrix}$, I want to know Solution method

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