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jesse patterson

jesse p.

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How did the evolution of the jaw contribute to diversification of early vertebrate lineages?

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Whether the following problem can be solved using precalculus, or whether calculus is required. Find the distance (in ft) traveled in 20 seconds by an object traveling at a velocity of $v(t) = 20 + 5 \cos(t)$ feet per second.

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Code this in Python 2. Consider the curve given by +2r3y=8 (a) Find b Find the points (x and y coordinates where the graph of the equation has a horizontal tangent line. c Find the points (r and y coordinates where the graph of the equation has a vertical tangent line. d Plot the curve (using plot implicit and the tangent lines from parts (b and c 3. A bacteria culture grows at a rate proportional to its size. After 2 hours, the bacteria count was 1000 and after 6 hours, the bacteria count was 40,000. a Solve a system of equations to find k and yo for y-oc Note it will help to assume k is real in the symbols command.) (b) Use this to determine when the bacteria count reaches 2,000,000 c Suppose 1000 was the initial amount and 40,000 was the count after 4 hours. Find and the amount of bacteria 2 hours BEFORE the initial time. In a print statement explain what you notice when comparing these answers to part a.

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Which of the following function(s) is O($x^3$)? $f_1(x) = 100x^3 + x^2 \log x$, $f_2(x) = x^2 + 5x$, $f_3(x) = x \log x + 6$ A) only $f_1(x)$ B) only $f_3(x)$ C) $f_1(x)$, $f_2(x)$ D) $f_1(x)$, $f_2(x)$ and $f_3(x)$

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20: Discuss the turn of events and utilization of energizer drugs in clinical psychiatry. 20 points.

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Using the given graph, answer the following questions: 2 1 7 a. Write the adjacency list of the graph. The labels of the adjacent nodes should be written in the provided blanks in the ascending order (from smallest to the largest). 0: ?NULL ?NULL 1: ? NULL 2: NUT

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2. Given an integer $a$, then $a^2 + 4a + 5$ is odd if and only if $a$ is even.

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How many moles are contained in each number of grams of sucralose ($C_{12}H_{19}Cl_3O_8$), molar mass 397.62 $\frac{g}{mol}$? Be sure each of your answer entries has the correct number of significant figures. Part 1 of 2 94.0 g $C_{12}H_{19}Cl_3O_8$ = ___ mol $C_{12}H_{19}Cl_3O_8$ Part 2 of 2 0.0520 g $C_{12}H_{19}Cl_3O_8$ = ___ mol $C_{12}H_{19}Cl_3O_8$

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2-Z = 7.85 m elevation difference D = 2.03 cm pipe diameter KLvalve = 17.5 valve KLexit = 1.05 pipe exit L = 176.5 m total pipe length = 0.25 mm pipe roughness V0 Reservoir V0 Reservoir Valve A water pump is used to pump water from one large reservoir to another large reservoir that is at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure. The dimensions and minor loss coefficients are provided in the figure. The pump's performance is approximated by the equation: Havailable = Ho - aQ^2 where shutoff head H = 24.4 m of water column, coefficient a = 0.0678 m/LPM^2. a) Estimate the capacity delivered by the pump. (b) Calculate non-dimensional CH and Co at Q = 14.0 LPM if the pump diameter is 1.80 cm and it operates at n = 4200 rpm. (c) Identify the type of the pump using the specific speed at the best efficiency point for the same discharge.

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Gooberland's Price Index Market Basket Price/Pound Quantity in Pounds Yr.1 Price Yr.1 Quantity Yr.2 Price Yr.2 Quantity Yr.3 Price Yr.3 Quantity Peppers $2.75 52 $3.00 60 $3.25 56 Watermelons $0.40 06 $0.44 100 $0.42 100 Peanuts $4.00 87 $4.10 100 $6.00 Z6 Use the above information for the economy of Gooberland to fill in the table below. Answer the questions that follow. Year 1 is the base year. Cost of Market Basket Price Index Year 1 (2.75*52)+(0.40*06)+(4*87) = 527 (527/634) = 0.83 Year 2 (3*60)+(0.44*100)+(4.10*100) = 634 (634/634) = 1 Year 3 (3.25*56)+(0.42*100)+(6.00*92) = 615 (615/634) = 0.97 Using the table you constructed, calculate the inflation rate from Year 2 to Year 3. 2. If the real interest rate was 3 percent in Year 3, what was the nominal interest rate? Assume that in Yr. 3, Gooberland's actual unemployment rate was 11%. Its cyclical unemployment rate was 7%. What was Gooberland's natural rate of unemployment? If Gooberland passed a law that increased unemployment benefits for the unemployed, how would that affect the natural rate of unemployment? Explain.

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