Question Consider the following function. f(x) = x4 – 16x3 + 72x2 + 6 (a) Make a sign diagram for the first derivative. f'(x) = 0 f'(x) < 0 ---Select--- ---Select--- ---Select--- X = X = (b) Make a sign diagram for the second derivative. ---Select--- ---Select--- ---Select--- ---Select--- ---Select--- X = X = (C) Sketch the graph, showing all relative extreme points and inflection points.

The curve shown in the figure is the astroid x = a cos3(𝜃), y = a sin3(𝜃). The x y-coordinate plane is given. A curve and a region are graphed. The curve starts at the point (0, a),goes down and right becoming less steep, changes directions sharply at the point (a, 0), goes down and left becoming more steep, changes directions sharply at the point

Drop down choices for both a. and b. -cost-push inflation -a change in inflation expectations -demand-pull inflation The Phillips Curve and Inflation - End of Chapter Problem For each scenario, determine whether inflation expectations, demand-pull inflation, or cost-push inflation will change. a. A rapid influx of foreign investment causes the output gap to become more positive. This gives rise to b. The president unexpectedly announces a tariff on aluminum and steel. This causes

CIRCLE ALL ANSWERS AND PROVIDE UNITS 1. (20 points) Mohr's Circle and Stress Elements Oy An element in plane stress (shown above) is subjected to stresses Ox - 70 MPa, Oy, and Txy - 50 MPa. Using the Mohr's Circle equations, determine the following: a principal stresses, b. the maximum shear stress, C. the principal angle, d. If one of the principal stresses is negative, what does a negative stress mean? **Using just proper equations is acceptable, but Extra Credit will be given if Mohr's Circle is drawn out.

You make a swimming pool 3.92 M in magnesium acetate, Mg(CH3COO)2 hoping to keep it from freezing during the winter. Its density is 1.23 g/ml. What will its normal freezing point be? Give your final answer (remember, you're looking for the new normal freezing point) to 1 decimal place (just to keep CuLearn happy) Put C for your unit (I don't know how to find the degree sign for answers...) Kf(H2O) = 1.86 °C/m

Consider the beam shown in (Figure 1). Suppose that d = 3 m Figure < 1 of 1 w - (***) kN/m d Part A Determine the equivalent resultant force. Express your answer to three significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward. HÅ ? FR = Value Units Submit Request Answer Part B Determine the equivalent couple moment at point O. Express your answer to three significant figures and include the appropriate units. Enter positive value if the moment is counterclockwise and negative value if the moment is clockwise. HÅ ? (MR) - Value Units Submit Request Answer

1)A uniform magnetic field is given byB⃗ =btk^, where b= 0.40 T/s. Find the current in a conducting loop with area 280 cm2and resistance 0.20 Ωthat lies in the x-y plane.Express your answer in amperes.2) When a nonideal 1.4-H inductor is short-circuited, itsmagnetic energy drops to one-fourth of its original value in 3.8s.What is its resistance?Express your answer in milliohms.