Suppose f(x) is a differentiable equation of one variable such that f(5)=3 and f '(5)=4 Find A= lim (x→5) ((f(x)-3))/(x-5) Do not use L'Hopital's rule.

Suppose f(x) is a differentiable equation of one variable such that f(5)=3 and f '(5)=4 Find A= lim (x→5) ((f(x)-3))/(x-5) Do not use L'Hopital's rule.

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...

Full working out please

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

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...

Last Calc 3 Problem... What am I doing wrong?Last Calc 3 Problem... What am I doing wrong?Last Calc 3 Problem... What am I doing wrong?Last Calc 3 Problem... What am I doing wrong?

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

x=15t7 y=42t5 z=70t3 0≤t≤2

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

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

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

We know that the curvature of the helix r(t) = (a cos t)i + (a sin t)j + btk (a and b are equal or greater than 0) to be K = a/(a^2 + b^2). What is the largest value K can have for a given...

The parabolas y=x^2, y=x^2+1, y=(x-2)^2, y=(x-2)^2+1 Intersectto form a curvilinear quadrilateral R. The change of variable u=y-x^2, v=y-(x-2)^2 map R onto a square in the uv-plane. Use the...

Show that |x|^2 = (x · a)^2 + (x · b)^2 + (x · c)^2 calculus 3 regarding to vectors

If f(t)= ⌠1/t (1/x)ln(tx) dx 1/T⌡ where...

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

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

Let R be the region bounded by two curves described below. Find the volume of the solid generated when R is revolved about the x-axis. y=2x y=16 4√x