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b) Show that $ \vec{F}=\left(2 x y+z^{3}\right) \hat{x}+x^{2} \hat{y}+3 x z^{2} \hat{z} $ is a conservative force field. Find the potential and the work done from (000) to (111) using the potential.

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The blue structure in the model could represent a carrier, a channel, or a pump that allows movement of molecules across the membrane. What organic compound are these carriers/channels typically made of?

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Solve the compound inequality. $-9 < 3x - 6 \le 9$ Graph the solution on the number line.

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Question 21 What is it called when action potentials come so fast (10-20 stimuli/second) that the muscle fiber has time to relax between them, but there is not enough time to completely reabsorb all of the calcium, causing each twitch to be stronger than the previous? Treppe Incomplete tetanus Tetanus Twitch

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11. Decompose the following functions into its partial fraction a) \frac{17x-53}{x^2-2x-15} b) \frac{3x^2}{x^2+1} c) \frac{4x^3+16x^2+23x+13}{(x+1)^3(x+2)} d) \frac{x^5}{x^4-1}

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Use the method of Lagrange multipliers to find the maximum and minimum values of f(x, y) = 3xy subject to x^2 + 16y^2 = 800. Write the exact answer. Do not round.

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Complete the missing statements for a), b) and c) of the following program: main.cpp 1 2 #include <iostream> 3 #include <vector> 4 using namespace std; 5 6 7 int main(){ vector<int> myVec = {1,3,5,7,9}; 8 9 10 11 cout << "Size of the vector is " << a) << endl; cout << "First element of the vector is " << b) << endl; cout << "Last element of the vector is " << c) << endl; 12 13 } 14

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At December 31, 2020, Bonita Company has outstanding noncancelable purchase commitments for 38,400 gallons, at $3.06 per gallon, of raw material to be used in its manufacturing process. The company prices its raw material inventory at cost or market, whichever is lower. Assuming that the market price as of December 31, 2020, is $2.75, record the journal entry. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No entry" for the account titles and enter 0 for the amounts. Round answers to 0 decimal places, e.g. 6,225.) Date Account Titles and Explanation Debit Credit Dec. 31 Give the entry in January 2021, when the 38,400-gallon shipment is received, assuming that the situation given in (b2) above existed at December 31, 2020, and that the market price in January 2021 was $2.75 per gallon. Prepare the journal entry for when the materials are received in January 2021. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No entry" for the account titles and enter 0 for the amounts. Round answers to 0 decimal places, e.g. 6,225.) Date Account Titles and Explanation Jan. 2021 Debit Credit

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Can anyone assist me with this multiple true or false question? Thanks in advance :) Consider a buffer solution consisting of CH3NH3Cl and CH3NH2. Which of the following statements are true concerning this solution? K for CH3NH3+ = 2.3x10^11 1. If NaOH were added to the initial buffer solution, then the [CH3NH3+] would increase. (True) 2. A solution consisting of 0.15 M CH3NH3Cl and 0.15 M CH3NH2 would be a more effective buffer than one containing 1 M CH3NH3Cl and 1 M CH3NH2. (False) 3. If [CH3NH3+] < [CH3NH2], then the [H+] is larger than the K value. (True) 4. If [CH3NH3+] = [CH3NH2], then pH = 10.64. (False) 5. If [CH3NH3+] < [CH3NH2], then pH is larger than the pK value. (False) 6. Adding more [CH3NH2] to the initial buffer solution will increase the pH. (False) Buffer solutions generally have a pH centered around the pKa value of the acid component in the buffer. Only when [weak acid] = [conjugate base] does pH = pKa. If one species is in greater concentration as compared to the other, then the pH is generally close to the pKa value, but pH does not equal pKa. To determine whether pH is greater or smaller than the pKa value, think about which buffer species is in greater concentration. For example, when [conjugate base] > [weak acid], then the pH will be on the basic side of the scale. When a strong acid or strong base is added to a buffer, the concentrations of weak acid and conjugate base will change. By writing down the neutralization reaction that occurs when it is added, one can determine the change that occurs in the buffer components. For buffer effectiveness, the more concentrated the buffer components, the better the buffer capacity.

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35. We are aware about the fact that a seperate system of budgeting is done for the other gender. which of the following statements are correct about gender budgeting? 1. It is a separate budget addressing the specific needs of women. 2. It assesses the impact of government budget on women. 3. It is an accounting exercise. 4. It is another budgeting innovation..

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jessica b.