Do not use a calculator for this problem. Find the x-value where the relative maximum of y e-x² closest to x = = e 6 = 0 occurs. When you need to solve for an expression equal to zero, use Newton's method with x = O as your first guess and enter your second guess as the answer. Enter your answer as a fraction. -6 * Preview A 25-year old woman burns 250 - 30t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 75t calories during the tth hour. What is her net decrease in calories after walking for 5 hours? 62.5 Preview calories burned For the function y = f(x) = 2+x2 a. Find the slope of the line tangent to its inverse function at the point P(2, 1): m = -3/4 b. Find the equation of the line tangent to the inverse function at the point P(2, 1): y = (-3)/4(x-2)+1 Preview y = (4 + 2.x) * Use Logarithmic Differentiation to find dy dx dy dx (4+2x)^x(In(4+2x)+x/(2x+4)) X Preview (4+2x) (In(4+2x) + syntax ok 2x +4 Type sin(x) for sin(x), cos(x) for cos(x), and so on. Use x^2 to square x, x^3 to cube x, and so on. Use (sin(x))^2 to square sin(x). Use In() for the natural logarithm. Do NOT simplify your answer.