# ( (x,y,z,lambda,V), (0, -b, 0, 0,0), (0, b, 0, 0,0), (0, 0, -c, 0,0), (0, 0, c, 0,0), (-a, 0, 0, 0,0), (a,0, 0, 0,0), ( - (a/sqrt [3]), - (b/sqrt [3]), - …

Normal line: y=(x-2-e^4)/e^2. Tangent line: y = e^2x -e^2. For intuition: Imagine that the function f(x,y) = e^x ln(y) - xy describes the …

A=6 . The graph of the function is shown below: The area in the first quadrant would be equal to the integral of the function evaluated …

Please see below. This is a rational function (a ratio of two polynomials). Every rational function is continuous on its domain. So the …

See explanation. a) sin200=sin (180+20)=-sin20=-k b) cos20=sqrt (1-sin^2 20)=sqrt (1-k^2) c) tan (-20)=-tan20=- (sin20)/ (cos20)=- …

What is the standard form of the equation of the parabola with a directrix at x=-5 and a focus at (-2,-5)?

See below. Using the Stirling asymptotic formula k! approx sqrt(2pi k)(k/e)^k we can compute an estimate for the series value …

tan t = sqrt3/3 cos t = sqrt3/2. Find sin t sin^2 t = 1 - cos^2 t = 1 - 3/4 = 1/4 sin t = +- 1/2 Because t is in Quadrant 1, therefor, sin t is …

You have to first isolate the absolute value. |x - 3| = 7 You must now consider two scenarios; the absolute value is positive or …

How do you write the standard from of the equation of the circle given center (3,1) R=sqrt 3?