MATH 253 Midterm: MATH 253 2013 Winter Test 1
Document Summary
If you use the back of a page, write see back on the front of the page. Suppose that g(0) = 2, h(0) = 1, g (0) = 3, and h (0) = 5. Compute the value of dz dt when t = 0. (c) 6 points let z(x, y) be de ned implicitly by the equation z3 + z + x + y2 = 3. Dec. 4th, 2013 (d) 3 points find the area of the triangle with vertices (1, 2, 3), (4, 6, 2), (2, 4, 3). (e) 3 points let u(x, t) = et+ax + et ax where a is a parameter. 5ut = uxx + u. (f) 3 points a line through the origin makes an angle of 60 degrees with the x-axis and with the y-axis. Dec. 4th, 2013: the temperature is given by the function t (x, y, z) = x3 + 5yz2 17z. (a) 3 points.
