Problem 5: (15 points) Draw the IV curves for the given conditions and explain briefly. If we apply negative voltage on the drain and increase it gradually, can you expect how the drain current would be on the given VGs =0.0, 1.0, 2.0, and 3.0 V? Draw the expected four curves for the given voltages (5 points) and explain briefly them on your physical basis. (10 points) 0 VGs = +3 V VGs = +2V VGs = +1V

Can you specify on step 3 how to get the values for gx and gy?

Please solve part d. Thank you for your help!!   An object is attached to the end of a vibrating spring and its displacement from its equilibrium position is y = 8e-t/2sin 4t, where t is measured in seconds and y is measured in centimeters. a. Graph the displacement function together with the functions y = 8e-t/2 and y = -8e-t/2. How are these graphs related? b. Use the graph to estimate the maximum value of the displacement. Explain whether or not it occurs when the graph touches the graph of y = 8e-t/2. c. What is the velocity of the object when it first returns to its equilibrium position? d. Use the graph to estimate the time after which the displacement is no more than 2 cm from equilibrium.

Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain". The acidity of liquids is measured by pH on a scale of 00 to 14.14. Distilled water has pH 7.0,7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so "acid rain" is sometimes defined as rainfall with a pH below 5.0.5.0. The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.43 and standard deviations 0.54. What proportion of rainy days have rainfall with pH below 5.0?5.0?

The data points show a plant's volume y (in cubic centimeters) when it has been given an amount x of fertilizer (in milligrams). Each figure has the same data points. However, each figure has a different curve fitting the data. The equation for each curve is also shown. Answer the questions that follow. Figure 1 Figure 2 Figure 3 4000+ 4000- 4000- 3000- 3000- 3000- 2000- 2000 2000 1000- 1000 1000- y=-15.6x+ 402.x+ 605 y=-12.5x + 254x+ 1225 y= -2.1x + 124x+ 1800 (a) Which curve fits the data best? O Figure 1 O Figure 2 O Figure 3 (b) Use the equation of the best fitting curve from part (a) to predict the volume of the plant when it has been given 12 milligrams of fertilizer. Give an exact answer, not a rounded approximation. |cubic centimeters

18. Assume that the conditions are as in Problem 16 except that there is a force due to air resistance of magnitude v2/1325 directed opposite to the velocity, where the velocity v is measured in m/s. a.Find the maximum height above the ground that the ball reaches. b.Find the time that the ball hits the ground. c. Plot the graphs of velocity and position versus time. Compare these graphs with the corresponding ones in Problems 16 and 17.

FRQ #2: Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Windmills generate electricity by transferring energy from wind to a turbine. A study was conducted to examine the relationship between wind velocity in miles per hour (mph) and electricity production in amperes for one particular windmill. For the windmill, measurements were taken on twenty-five randomly selected days, and the computer output for the regression analysis for predicting electricity production based on wind velocity is given below. The regression model assumptions were checked and determined to be reasonable over the interval of wind speeds represented in the data, which were from 10 miles per hour to 40 miles per hour. a) Use the computer output above to determine the equation of the least squares regression line. Identify all variables used in the…

Find the equation of the straight line described below. At right angles to y = e* at the point where x = 1 y =