Find the equation of a straight line perpendicular to the tangent line of the parabola y=x2+1 at x = 1 .

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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Answer all three questions otherwise don't solve it.

Calculus

Question 3

 

Find the equation of a straight line perpendicular to the tangent line of the parabola y=x2+1 at x = 1 .

 

Question 5

 

In some manufacture company, which sales certain product, the price function p and the cost function C (in dollars) are given by:

px=5-0.002x

Cx=3+1.1x

Find the expressions for marginal revenue, marginal cost, and marginal utility. Determine the level of output that yields the maximum total utility.

 

Question 6

 

The outline of a rugby ball has the shape of x230+y216=1 . The ball itself is the revolution of this ellipse about the x-axis. Find the volume of the ball.

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