37 tangent lines worksheet answers

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Hello. I have a few questions from a worksheet which I cannot solve. I have attached my work for each question to show I have attempted but could not solve it. * Question 1: Show that if g(x) = (x^2) * |x|, then function g is differentiable at x = 0. * Question 2: If f is differentiable at x = a we define the tangent line to the curve y = f(x) at x = a by the equation, y - f(a) = f'(a)(x-a). Find two different values of a such that the tangent line to y = (x^3) at x = a passes through the poin...

Tangent lines worksheet answers

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Tangent lines worksheet answers.

**Note:** All vector arrow go above the letter that proceeds them. **Problems:** 1) Verify that the vector-valued function r^(→)(t) = <tcos(t),t,tsin(t)> traces out a path which lies on the conical surface x^2 + z^2 = y^2 . 2) let r^(→)(t) = (t^3 + 3t)i^(→) + (t^2 + 1)j^(→) + (3t -1)k^(→) i.Compute the unit tangent vector at t=1, in other words, T^(→)(1). ii.Give the parametric equations for the tangent line to the path traced out by r^(→)(t) at t=1. iii. Give the equation of t...

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Slope Y Intercept Equation - 9 images - view question find the equation of a line parallel to y, how to find the equation for the tangent of a line on the,

Find the critical numbers of the following function and then decide which one of the answer choices is NOT a critical number: f(x) = (x^2 - 5) / (x - 3) 3 1 5 square root of 5 All are critical numbers So, short version, I have videoed lectures to watch and the audio is missing from the critical numbers video(professor is aware and is uploading a new video tomorrow) But I'd like to get a start on this. This is the first problem on my worksheet, how do I go about finding critical...

Circles - geometry tangent and secant lines in circles riddle worksheet