Numerade

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A. Solve the following problems. Show complete solution. 1. Janice and James are working in a strawberry field in Trinidad. Each of them must pick the same number of strawberries a day. Janice picks an average of 6 baskets of strawberries per hour, while James picks an average of 3 baskets an hour. If they begin picking strawberries at the same time, and Janice finishes $ 1 \frac{1}{2} $ hours before James, how many baskets must each pick?

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2. If $ y=\cos u $, then $ y^{\prime}=-[\sin u] \cdot u^{\prime} $. 3. If $ y=\tan u $, then $ y^{\prime}=\left[\sec ^{2} u\right] \cdot u^{\prime} $. Examples 3.4.1. Find the derivatives. 1. $ y=\sin \left(x^{2}+2 x+3\right) $ Solution: \[ \begin{aligned} y^{\prime} & =\left[\operatorname { c o s } \left(x^{2}\right.\right. \\ & =(2 x+2 \end{aligned} \] 2. $ y=\sin 5 x-\frac{1}{3} \sin ^{3} 5 x $ Solution: \[ \begin{aligned} y^{\prime} & =5 \cos 5 x \\ & =5 \cos 5 x \\ & =5 \cos 5 x \\ & =5 \cos 5 x \\ & =5 \cos ^{3} 5 x \end{aligned} \] 3. $ y=\cos 3 x \tan 2 x $ Solution:

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Compare the following methods used by different neurotransmitters: Ligand-gated channels. G-protein-coupled channels. Second messengers (cyclic AMP).

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Question 16 (4 points) During development, stem cells receive many signals in the form of soluble growth factors released from neighboring cells. This is an example of ________. Autocrine signaling Paracrine signaling Determinative signaling Excitatory signaling Endocrine signaling

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1. Apply Recursive Best First Search to fine the optimal path from A to G. The heuristic value is given on the right side of the state space. Draw separate trees to show the steps of your simulation. A- 12 B- 10 C- 10 D- 7 E-2 F-6 G. 0

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For a 100 keV boron implant with a dose of $5 \times 10^{14} \text{cm}^{-2}$, calculate peak concentration. Solution: From Fig. 6a, $R_p = 0.31 \text{ µm}$ and $\sigma_p = 0.07 \text{ µm}$

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2. Write Verilog code for a module describing a 8-bit shift register that shifts bits in from input SI and out an output SO. Also include control signals Clk and EN (and enable active Hi). Thus: You should have 3 inputs SI, Clk, EN and 1 out SO: all these are single bit signals. The shifting causes 1 bit to go in and 1 bit to go out and remembers the other 7 bits, but the bit just shifted in will not get shifted out for 8 more clock edges. Use a rising edge clock.

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MySQL - Draw ER diagram representing entity sets and relationship set described below, also determine the cardinality of the relationship: Entities: Employees(SSN, name, title) Departments(D ID, name, budget) Relationship: Work_in(SSN, D ID) Note: The attributes of each entity or relationship are between the parentheses of them.

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nswer the following problem about SPEED AND VELOCITY: NOTE SHOW YOUR SOLUTION. ERASURES ARE WRONG USE A ONE WHOLE SHEET OF PAPER. 1. A car travels from point A to B in 3 hours and returns back to point A in 5 hours. Points A and B ar 150 miles apart along a straight highway. How fast is the car? 2. At time t = 1 min the car is traveling at a velocity of 20 meters per second, and at time t = 2 min the car reaches a velocity of 40 meters per second. What is the average velocity of the car? 3. A man walks 7 km in 2 hours and 2 km in 1 hour in the same direction. a) What is the man's average speed in m/s for the whole journey? b) What is the man's average velocity m/s for the whole journey? 4. If I can walk at an average speed of 5 km/h, how many miles I can walk in two hours? 5. If a man has a speed of 27.5m/s and travelling a 45m straight road haw long that it takes for the man to go to its final position.

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An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of $m_a = 102$ kg and the bag of tools has a mass of $m_b = 13.0$ kg. If the astronaut is moving away from the space station at $v_i = 1.80$ m/s initially, what is the minimum final speed $v_{bf}$ of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever?

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sandra j.