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The system $x' = y^2 - 7x^2y - 7xy$, $y' = xy - 7x^3 - 7x^2$ has lots of critical points. In fact a whole curve of them. They satisfy an equation of the form $y = f(x)$, what is it? $y =$ help (formulas)

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A curve is defined by the parametric functions x(t) and y(t), where dx/dt is not equal to 0 and 2x(t) - y(t) = 4 for all t. Which of the following equals dy/dx?

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The tiny gap between neurons is referred to as the: Group of answer choices synapse axon dendrites myelin

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3. (a) Let \begin{equation*} f(x) = \begin{cases} \sin(\pi x) & \text{if } -1 \le x \le 1\\ \sqrt{3 - x^2 + 2x} & \text{if } 1 < x \le 3\\ 113 & \text{if } x > 3 \end{cases} \end{equation*} be a function. Evaluate the definite integral $\int_{-1}^4 f(x)dx$. (b) Let $f$ be continuous and even on $\mathbb{R}$. If $\int_0^{113} f(x)dx = 7$, evaluate $\int_{-113}^{113} (x^3 + 3)f(x)dx$. (c) Let $f$ be continuous and odd on $\mathbb{R}$. Evaluate $\int_{-113}^{113} \cos(x)f(x^3 + 3x) + |x| dx$.

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??????? ??????? ???? - ?????? Question 2 A hard disk of 20 sectors per track and 400 tracks per surface in 15 double-sided platters disk, and platters rotates at a speed of 2400 RPM with average seek time 30 ms. Each sector contains a block of size 512 bytes and gap size between blocks 128 bytes. What is the total number of cylinders? Select one: a. 800 cylinders b. 6000 cylinders c. 20 cylinders d. 12000 cylinders e. 400 cylinders

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Without involvement of the ______, a stimulus will never be perceived. skin of your fingertips midbrain spinal cord cerebral cortex.

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Question 24: An aging analysis of Blossom Company's accounts receivable at December 31, 2020 and 2021, showed the following: Account Receivable Number of Days Outstanding Current Uncollectible 0-30 days 1% $94,000 $115,000 31-60 days 5% $23,500 $57,500 61-90 days 12% $47,000 $34,500 Over 90 days 25% $70,500 $23,000 Total $235,000 $230,000 Additional information: 1. At December 31, 2020, the unadjusted balance in Allowance for Doubtful Accounts was a credit of $5,600. 2. In 2021, $23,500 of accounts was written off as uncollectible and $2,200 of accounts previously written off was collected. Calculate the carrying amount of Blossom's accounts receivable at December 31, 2020, and December 31, 2021. Account Receivable Number of Days Outstanding Current Uncollectible 0-30 days 31-60 days 61-90 days Over 90 days Total December 31, 2020 $94,000 $23,500 $47,900 $70,500 $235,000 December 31, 2021 $115,000 $57,500 $34,500 $23,000 $230,000

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A corporation has a fiscal year ending September 30. Its tax return must be filed by which of the following dates? A December 15 B December 31 C January 15 D January 31

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Back to Assignment Attempts: Do No Harm: /1 3. Sunk costs and decision making Andrew has plans to go to an opera and already has a $100 nonrefundable, nonexchangeable, and nontransferable ticket. Now Beth, whom Andrew has wanted to date for a long time, asks him to a party. Andrew would prefer to go to the party with Beth and forgo the opera, but he doesn't want to waste the $100 he spent on the opera ticket. From the perspective of an economist, if Andrew decides to go to the opera, what has he just done? Correctly ignored a sunk cost Incorrectly allowed a sunk cost to influence his decision Made an optimal choice Grade It Now Save & Continue Continue without saving

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As discussed briefly in class, one of the common aberrations that lens designers must deal with is chromatic aberration. The basic problem, illustrated below, is that the index of refraction n is wavelength dependent: n = n(A). For example, most glasses empirically have (1) which is known as Cauchy's Relation. The constants A and B are characteristic of the type of glass used (There are lots of different types available). The lens-maker's relation then implies that the focal length of a thin lens f = f(), too. The result is that a beam of white light that passes through such a lens is focused over an axial range. Figure 1: Chromatic aberration from a simple lens. Source: Wikimedia. In the early 18th century, scientists figured out a way around this problem by using two lenses made of different materials. There are several ways to do this, but the most common is the achromatic doublet, made from a positive and negative lens, glued together as illustrated below. Show that if the two materials have indices n and n2 and focal lengths fi and f2, that one can correct for chromatic aberration to first order in variations about a design wavelength by picking f2 such that n2/Î”X (2) dn/dÎ» different types of glass single focal point Achromatic Lens Figure 2: An achromatic doublet can partially correct for chromatic aberration. (Source: Eden Orion.)

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megan b.