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diana martinez

diana m.

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Determine the given limit without any simplification. If the limit limit goes through ∞ or −∞, state this answer. lim x→−∞ 4x2 + 3 Evaluate the limit if it exists. (If an answer does not exist, enter DNE.) State the reason for the answer of the limit. The limit goes to infinity because the highest exponent is in the numerator. The limit is the ratio of the coefficients with the same highest exponent. The limit goes to 0 because the higher exponent is in the denominator. Plug in the number and limit goes to a finite number. Simplify the expression to remove the discontinuity. Then take the limit by plugging in the number

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A 1240 W radiant heater is constructed to operate at 115 V. (a) What is the current in the heater when the unit is operating? (b) What is the resistance of the heating coil? (c) How much thermal energy is produced in 3.31 h?

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Use a Taylor series to approximate the following integral to four decimal places. \begin{equation*} \int_0^{0.5} \sin x^2 \, dx \end{equation*} \begin{equation*} \int_0^{0.5} \sin x^2 \, dx \approx \boxed{} \end{equation*}

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Research question: What kind of molecule is the motor? Vale wondered if the molecule powering vesicle movement was an ATPase, a protein that cleaves a phosphate off of ATP and uses that energy to change shape. Using the reconstituted system, Vale set up a control and 4 experimental treatments. The control and all treatments included motility buffer + the reconstituted system (vesicles + purified microtubules + soluble proteins from axon cytoplasm). + + + indicates that many vesicles moved, + indicates that few vesicles moved slowly, and – indicates no movement. Is the motor an ATPase? Treatment Amount of vesicle movement Control + + + AMP-PNP (5 mM) - Trypsin added to soluble protein fraction - Heat soluble proteins to 70\deg C - AMP-PNP (5'-adenylylimidodiphosphate) binds to ATPase enzymes, but cannot be hydrolyzed, so it inhibits all types of ATPases. Trypsin is an enzyme that hydrolyzes peptide bonds. 70\deg C is hot enough to denature a protein from a squid that lives in an environment where temperatures never exceed 30\deg C. Question: Which evidence from this experiment supports the conclusion that the motor is a protein? (Select all that apply.) Group of answer choices Treatment with a protein-digesting enzyme stops vesicle movement. Heating the soluble protein fraction inhibits vesicle movement. Vesicles move in the control. AMP-PNP inhibits vesicle movement.

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Design Project Illa First-order Band Pass Active Filter Design an active band pass filter with a passband gain of 2 and cutoff frequencies of 500 Hz and 50 kHz. Use a 200 nF capacitor.

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Question 8A) Expected return risky = Risk free rate + (sharp ratio * Standard deviation) Rp = Rf + (S*op) DATA SET: Original Variance 0.007078471 Standard Deviation 8.41% Expected Monthly Return of Portfolio 1.65% Sharp ratio 44.692756766773400000% Risk free 0.0025 Weights 10% in all 10 stocks 0.0165 = 0.0025 + (0.446927567667734* $\sigma_p$) $\sigma_p$= 0.03132449 or 3.132449% This is the lowest standard deviation we can attain for a portfolio with the same expected return as our original portfolio.

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Consider the following classes. public class Ticket { private double price; public Ticket(double p) { price = p; } public double getPrice() { return price; } public String toString() { return "Price is " + getPrice(); } } public class DiscountTicket extends Ticket { public DiscountTicket(double p) { super(p); } public double getPrice() { return super.getPrice() / 2.0; } } The following code segment appears in a class other than Ticket or DiscountTicket. Ticket t = new DiscountTicket(10.0); System.out.println(t); What output, if any, is produced when the code segment is executed? Responses 5.0 5.0 10.0 10.0 Price is 5.0 Price is 5.0 Price is 10.0 Price is 10.0 There is no output because the code does not compile.

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5) For a particular Ic fabrication process, the transconductance parameter $k_n = 400 \mu A/V$ and $V_t = 0.5V$ In an application in which $V_{gs} = V_{ds} = V_{supply} = 1.8V$, a drain current of 3mA is required of a device of minimum length of 0.18$\mu m$. what value of channel width must the design use?

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Q2) For the circuit below, assume Load1=(10kVA@0.9pf), Load2=(15KW@0.85pf), Load3=(12KVAR@0.6pf). The power supply is 120V. 1- find the branch currents $I_a$, $I_b$, and $I_c$ and the source current $I_o$ (5 marks) 2- Find the circuit overall power factor (2 marks) 3- calculate a capacitor value needed to correct the power factor to 0.95 (2 marks) 4- if the capacitor was selected randomly to be 0.8mF, how much improvement will that make in the power factor? (1 mark) $I_o$ + Load 1 Load 2 Load 3

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Need help with what to do after you get your "equations". The members of a truss are pin connected at joint O. Determine the magnitude F and F for equilibrium. Set = 60. x-direction: F = 0 F * cos(ω) + F * sin(70) - 5 * cos(30) - (4 - 0.5F) + 0.9397F = 9.9301 y-direction: 2F * cos(70) - F * sin(ω) + 5 * sin(30) - (0.34F - 0.86F) = 1.

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