Question what is the area of the largest rectangle whose perimeter is 100 feet What is the area of the largest rectangle whose perimeter is 100 feet? 25xf2 Need Help? Read It Talk to a Tutor

What is the directional derivative of f(x, y, z) = zexy in the direction of the vector (4, 6, 2)? Select one: a. (12e24, 8e24, e24) O b. 156e*Y(4yz + 6x2 + 2) OC. Vsae*y (4yz + 6x2 + 2xy) d. ety(4yz + 6xz + 2) Vize*Y(4yz + 6xz + 2) e.

4. Consider the determinant as a sum of signed products. Recall that there are \( n \) ! elementary products in the determinant expansion of an arbitrary \( n \times n \) matrix \( A \). (a) If \( A \) is a \( 5 \times 5 \) matrix, how many of the elementary products in \( \operatorname{det}(A) \) are guaranteed to be zero if the entry \( a_{12} \) is zero? (b) If \( A \) is an \( n \times n \) matrix, \( n \geq 2 \), how many of the elementary products in \( \operatorname{det}(A) \) are guaranteed to be zero if \( a_{12}=0 \) ? Give your answer in terms of \( n \). (c) If \( A \) is an \( n \times n \) matrix with \( \operatorname{det}(A) \neq 0 \), what is the maximum possible number of zero entries in A? Give your answer in terms of \( n \).

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