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An ice skater spins with her arms close to her body with a rotational inertia $ I_{i} $ and angular speed $ \omega_{i} $. The ice skater then extends her arms outward and spins with rotational inertia $ I_{f} $. What is her final angular speed $ \omega_{f} $ ? Choose 1 answer: (A) $ \omega_{f}=\frac{I_{i} \omega_{i}}{I_{f}} $ (B) $ \omega_{f}=\omega_{i} $ (C) $ \omega_{f}=\frac{I_{f} \omega_{i}}{I_{i}} $ (D) $ \omega_{f}=I_{i} \omega_{i} I_{f} $

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Outcome A1: Rates of Change #1) If a rock is thrown vertically upward from the surface of Mars with velocity 20 m/s, its height after t seconds is given by $h(t) = 20t - 0.8t^2$. a) Find the velocity function and acceleration function. b) What is the maximum height reached by the rock? c) How many seconds after the rock is thrown does it hit the ground? d) What is the velocity of the rock when it hits the ground?

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The dataset that we examined in class seeks to establish the link between certain measurable characteristics and type 2 diabetes. Our sample consists of women of Pima Indian heritage. The variable labeled "Insulin" is defined as the 2-hour serum insulin (mu U/ml). The first 5 observations are {0, 0, 0, 94, 168}. What kind of variable is it? a. Ordinal b. Numerical (Continuous) c. Numerical (Discrete) d. Categorical (Qualitative)

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Question 5 Find adjoint of matrix $A = \begin{bmatrix} 1 & 1 & 2 \\ 1 & 2 & 3 \\ 1 & 2 & 4 \end{bmatrix}$ $\begin{bmatrix} 1 & 9 & 2 \\ 1 & 2 & 3 \\ 1 & 3 & 0 \end{bmatrix}$ $\begin{bmatrix} 1 & 3 & 2 \\ 1 & 0 & 3 \\ 1 & 2 & 4 \end{bmatrix}$ $\begin{bmatrix} 2 & 0 & -1 \\ -1 & 2 & -1 \\ 0 & -1 & -1 \end{bmatrix}$ $\begin{bmatrix} 4 & 1 & 2 \\ 1 & 0 & 3 \\ 1 & 5 & 4 \end{bmatrix}$

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find f+g , f-g, and (f)/(g) . Determine the domain for each function. f(x)=3x+2, g(x)=x-3. What is the domain of f+g ?

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Section 2.3: Problem 11 (1 point) If $y = 9x^7$, find $y'$.

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Design a GO and NOT GO gauge combination for the inspection of an assembly denoted by 25H7/d9. Draw a neat sketch showing how the tolerances are deployed on the GO and NOT GO gauges.

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What is a CRAN mirror? a. A server that saves and backs up all of the R commands that you execute. b. A website containing the help files for functions in R. c. A command that mirrors your R session so that next time you open R, you can replicate your previous work. d. A repository that stores all of the R files for download onto individuals' computers.

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3. If Lea's age is divisible by 2,3,4,6,9 and 12. If her age is between 30 to 40 years old. How old is Lea? Asked: Given: Solve: Check: Final Answer:

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2. Hussin did some work on a pond to raise the dam that was about 5 inches too low. He had to use an earth scraper to bring in more dirt. John received 4,625 pesos for 25 hours of work. What did he receive per hour?

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