solve both please Sketch the region enclosed by y = 3x and y 6.0². Find the...
(1 point) Find the maximum and minimum values of the function f(x, y) = 3x² – 18xy + 3y2 + 6 on the disk x2 + y2 < 16. Maximum = Minimum =
please answer both problems. 3x + 6, if x < 0 5. Sketch the graph of f(x) = { 1 -= x+3, if x > 0 ,-0.2371 6. The number of grams Q of a substance after t hours is given by Q=Qoe How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places.
* For the function f(x) = (3x + 5 if x 20 6 if x < 0. find f(-10)
2.10.4 Given a function f(x,y) on a compact region E in R^2, Find the maximum and minimum values of f on E, and the points at which these extreme values are attained. f(x, y) = x2 sin y + x, and E is the filled rectangle where -1 < x < 1 and | 0 < a < .
(1 point) Find the volume of the region enclosed by z = 1 – y2 and z = y2 – 1 for 0 < x < 39. V =
section is fourier series and first order differential equations 0 Find the Fourier Coefficients a, for the periodic function f(x) = {: for-2<2<0 O for 0 < x < 2 f(x + 4) = f(x) Find the Fourier Coefficients bn for the periodic function 2 f(x) = -{ for -3 <3 <0 10 for 0 < x <3 f(x+6) = f(x) Determine the half range cosine series of 2 f(x) 0<<< f(x + 2) = f(x) dy Given that =...
show all work please (5 pts) Find the area of the region bounded by the graphs of y + 2 and y = [ +1,0 < x < 2. 2 Sketch the region.
n=0 4. Using the power series cos(x) = { (-1)",2 (-0<x<0), to find a power (2n)! series for the function f(x) = sin(x) sin(3x) and its interval of convergence. 23 Find the power series representation for the function f(2) and its interval (3x - 2) of convergence. 5. +
5.Use polar coordinates system to evaluate: x2 + y2)dydx , R is the region enclosed by 0 <x< 1 and, -x sy sx
Solve the inequality log2 (x2 – 3x + 4) <1. Give the answer as an interval.