use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z) = (x + y2)i + (y + z2)j + (z + x2)k, c is the triangle with vertices (9, 0, 0), (0, 9, 0), and (0, 0, 9).

Find the area of shaded region z=-0.89

Henry just set up direct deposit from his employer to his checking account. the equation y=360x-126.13 represents the balance in henry's account if he deposits his weekly paycheck for x weeks. based on this equation, which of the following statements is true? a) henry earns $126.13 per weekb) henry made an initial deposit of $126.13c) before setting up the direct deposit, henry had overdrawn his accountd) when henry set up the direct deposit, he already had $360 in his account

Write a personal narrative essay that describes a significant experience that has shaped your identity. develop the narrative through pacing, dialogue, and details that engage the reader.