Given: V=IR (1/R)=(1/R1)+(1/R2) Find rate of change of voltage when I=4 amps increasing at 0.04 amps/sec. R1=2 ohms increasing at 0.5 ohms/sec and R2=3 ohms decreasing 0.2 ohms/sec...

Given: V=IR (1/R)=(1/R1)+(1/R2) Find rate of change of voltage when I=4 amps increasing at 0.04 amps/sec. R1=2 ohms increasing at 0.5 ohms/sec and R2=3 ohms decreasing 0.2 ohms/sec...

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...

Given that the acceleration vector is a(t)=(−16cos(4t))i+(−16sin(4t))j+(10t)k, the initial velocity is v(0)=i+k, and the initial position vector is r(0)=i+j+k, compute: The...

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

Describe the region bounded by the planes: x = 0, y=0, z=0, x+y=4, and x=z-y-1. Describe as a region (in any order you can) the region inside the ball x^2+y^2+z^2=4 and...

Evaluate ffD(x^2+y^2)dA where D is the region in the first quadrant bounded by y=x, y=3x, and xy=3

Lagrange multipliers work great for finding the minimum value of y-ax, restricted to the curve y^2-x^2=1 for any a with 0<=a<1 (what is it?) but fails quite miserably if a >=1. Use the geometry...

Find all of the extrema of g(x,y,z)=xyz on the surface z=e^(-x^2-y^2).

Find the extrema of f subject to the given conditions. f(x,y,z) = x+ y + z x^2-y^2=1 2x+z=1

How would I trace this on the xy and yz coordinate plane as as well as the planes y=±4

Use differentials to find the approximate amount of copper used in the four sides and bottom of a rectangular copper tank that is 6 feet long, 4 feet wide and 3 feet deep inside if the sheet of copper...

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