1, describe the domain of f(x,y) =ln(xy)/square root (x+y).
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.5LN 2= -LN | CSCX-COTX | +( LN ((SQUARE ROOT 2) +1|)). solve for X
please show all work so i can understand Write f(x)=ln((x^2 square root(x-4)/(x+1)^3)) in terms of lnx, ln(x+1), and ln(x-4). Then find f '(x).
f(x) = 2x -1 g(x) = Square root (x-1) Find the domain of f, g, f+g, f-g, fg, ff, f/g, and g/f. I actually got the answers to the domain of f and g, but i'm confused on how to find the others based on just f and g. Like for the domain of f, I got (-infinity, positive infinity) then for the domain of g, (negative infinity, 1) U (1, positive infinity)
Find fx, fy, and fz 5) f(x, y, z) = ln (xy)?
(b) Find the directional derivative of f(x, y, z) = xy ln x – y2 + z2 + 5 at the point (1, -3,2) in the direction of the vector < 1,0,-1>. (Hint: Use the results of partial derivatives from part(a))
... Find the domain of the function f(x, y) = ln (2 - y2). A) All points on or to the left of 1 = ya B) All points on or to the right of x = y2 C) All points to the left of x = y2 D) All points to the right of x = y2 E) All points on or to the left of 2 = 0
Let f(x) = √ (x + 3) (x+3 is all under the square root), g(x) = 1/x−1 . Find f/g and find its domain.
1. For the differential equation x’y"+xy'- y = ln x, y = -- Inx. a. What is the order? b. Is it linear, or nonlinear? c. Verify that y=-- In x is a solution of the differential equation.
1242) y A x ln(x) + B x + F is the particular solution of the second-order linear DEQ: xy'' =2 where y'=4 at the point (3,2) Determine A, B,F F is also called an explicit solution y A x ln (x) + B x + Is the DEQ separable, exact, 1st-order linear, Bernouli? Include a formal-manual solution in the portfolio ans: 7
QUESTION 9 Find the domain and range and describe the level curves for the function f(x,y) y+10 1(x, y)s a.Domain: all points in the x-y plane excluding x O: range: all real numbers; level curves: parabolas y ex2-10 b. Domain all points in the xey plane; range: real numbersz 0: level curves: parabolas y- ex2- 10 Domain :all points in the x-y plane; range: all real numbors; levol curvos: parabolas y ex2-10 d. Domain all points in the x-y plane...