Complete parts a through f below to find nonnegative numbers x and y that satisfy the...
For the given function, complete parts (a) through (f) below. f(x,y) = -(22+272) (a) Find the function's domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is all points (x,y) satisfying (Simplify your answer. Type an inequality.) OB. The domain is the entire xy-plane (b) Find the function's range. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O...
Please help solve the second part Find the relative maximum and minimum values. f(x,y) = x² + y2 - - 18xy Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The function has a relative maximum value of f(x,y)= at (x,y) = (Simplify your answers. Type exact answers. Type an ordered pair in the second answer box.) B. The function has no relative maximum value. Select the correct choice below...
Find the solution of the following initial value problem. y'' (t) = 6te! y(0) = 3, y'(0) = 1 y(t) = Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when Ris revolved about the x-axis. y = 21 - x, y=x, and y = 0 Set up the integral that gives the volume of the solid. Use increasing limits of integration. Select the correct choice below...
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. 3x +7 f(x) = 7x-3 9(x) = 6x 7x-3 (a) Find (f+g)(x). (*+g)(x)=(Simplify your answer.) What is the domain off+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is {x}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B....
Find all local extrema for the function f(x,y) = -6x? -5xy - 3y2 + 111x +58 +5. Select the correct choice below and fill in any answer boxes within your choice. O A. There are local maxima located at (Simplify your answers. Type ordered pairs. Use a comma to separate answers as needed.) O B. There are no local maxima. Select the correct choice below and fill in any answer boxes within your choice. O A. There are local minima...
please help! Use the given function f to answer parts (a) through (f) below. f(x) = -5+ log2(x-1) (a) Find the domain of t. The domain offis (Type your answer in interval notation.) (b) Choose the correct graph off below. ОА. ОВ. 10 Q Oc. OD Ay o a 10- 10 o Q -10 10 10 10 2 -10 10 (c) From the graph, determine the range and any asymptotes off. The range of fis (Type your answer in interval...
Complete parts (a) through (h) for the data below. x- 40, 50, 60, 70, 80 y-62, 58, 55, 47, 33 B) Find the equation of the line containing the points (50, 58) and (80, 33) y=__x+(__) D) By hand, determine the least-squares regression line The equation of the least-squares regression line is given by ModifyingAbove y with caret equals b 1 x plus b 0y=b1x+b0 where b1 equals r times StartFraction s Subscript y Over s Subscript x EndFractionb1=r•sysx is...
Show all work. 1. Find two nonnegative real numbers x and y such that x + y = 24 and x2 + y2 is maximized and show why it is a maximum using calculus. 3. The length of a rectangle is decreasing at a rate of 2 cm/sec, while the width wis increasing at the rate of 3 cm/sec. At the moment when the length / is 12 cm and the width wis 5 cm, find the rate at which...
A first order linear equation in the form y p(x)y = f(x) can be solved by finding an integrating factor u(x) = exp c) dx (1) Given the equation y 2xy = 10x find H(x) = (2) Then find an explicit general solution with arbitrary constant C у %3 (3) Then solve the initial value problem with y(0) = 3 A first order linear equation in the form y p(x)y = f(x) can be solved by finding an integrating factor...
7 For f(x) = 5 and g(x) = x, find X+6 a. (fog)(x); b. the domain of fog a. (fog)(x) = (Simplify your answer.) b. What is the domain of fog? The domain is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any Enter your answer in each of the answer boxes. PS CO 29