I do not understand the steps for the Lagrange Multipliers

I do not understand the steps for the Lagrange Multipliers

Evaluate the double integral D of 3/(4 +y^3) where D= {(x,y) | 0 <x <1, x^(1/2) <y <1}

y= lnx Hi, Im having problems with the algebra aspect of solving this. This is where Im at so far : k(x)= l y''(x) l / [ 1+(y'(x))2 ]3/2= (1/x2)...

More specifically, what geometrical properties does a function need to have, in order to satisfy the laplace equations? (other than it being 2nd order differentiable)

Hi, I need to know if Im right. Function is : f(x,y)= (ln(2-x))/(1-x2 -y2 ) so x <2 and x2 +y2 <1 Graphing this, I shaded everything less than...

How do I draw for f(x,y)=ln (x2 +4y2 )

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x...

Evaluate the triple integral of x^2 where D is the region inside the cylinder x^2+y^2=9 which is bounded below by the plane z=0 and bounded above by the plane 4x+4y+z=19 I...

Given any Cartesian coordinates, (x,y), there are polar coordinates (r,θ) with (-pie/2) < θ ≤ (pie/2). Find polar coordinates with (-pie/2) < θ ≤ (pie/2) for the following...

If r(t)=ti+2t2j+7tkr(t)=ti+2t2j+7tk, compute the tangential and normal components of the acceleration vector. I found that aT=16t/sqrt(50+16t^2) Though...

I have projections down good, but I keep getting the orthogonal complement wrong. QUESTION a = <0,2,-5> b = <6,8,-3> compute...

Full working out please

x=15t7 y=42t5 z=70t3 0≤t≤2

just a regular calc 3 question using chain rule. not sure what im doing wrong

let P be the plane in R3 given by x + 2y + z = 0. Let L be the line through two points (1,0,1) and (0,1,1). Give the coordinates of the point where L intercepts P.

Find two unit vectors orthogonal to a = <4,-1, 2> and b = <3, 3, 1> First vector = <?, ?, ?> Second vector = <?, ?, ?>

Find the velocity, acceleration, and speed of a particle with position function r(t) = <-7tsin(t), -7tcos(t), 4t^2> v(t) = <?, ?, ?> a(t) = <?, ?, ?>...

A plane Q is defined by the equation 4(x-8)+3(y-7)-5(z+2)=0. Give the most obvious example a point P lying on the plane Q. I believe this to be (8,7,-2) Then...

A weight of 100 pounds is suspended by two ropes A and B. Rope A makes an angle of 30 degrees with the ceiling and rope B makes an angle of 45 degrees with the ceiling. What are the magnitudes of...

x=4(sin^2)tcost y=4sin(cos^2)t

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