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The demand for a product, in dollars, is P=2000-0.2x-0.01x^2. Find the consumer surplus when the sales level is 250

Phenomena such as waiting times and equipment failure times are commonly modelled by exponentially decreasing probability density functions. Find the exact form of such a function

Can ∫ (x^6 +8)^2 dx be integrated with u = x^6+8? Explain

.Rotate the region bounded by 𝑥 = 𝑦2 − 4 and x=6-3y about the line x=24.


I found the volume using circular ring: horizontal strip method as 2011.45


ACTIVITY IN BASIC CALCULUS

QUOTIENT RULE


  I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.


  1. "\\frac{x^2-7x}{2x^3+5x^2}"
  2. "\\frac{3x^2+7x-14}{x^3-4x^2}"
  3. "\\frac{2x^3+8x^2}{x^2+6x^2-10}"


II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.


1. Example must have two different terms in numerator, and three different terms in denominator

eg. (do not copy)


y= "\\frac{8x^2-3x}{x^2+6x^2-10}"


2. Example must have three different terms in numerator, and three different terms in denominator

eg. (do not copy)


y= "\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"

Find the Maclaurin series for the function"f(x)=\\sqrt{(x^2+2-x)^5}"and its radius of convergence. 


use newton raphson method :


sin ( x + π/2) - ln |x| =0


Solve the corresponding equation for the appropriate interval by using the following two root finding techniques :

a) algebraic approach



sin(x+ π /2) - ln |x| = 0


ACTIVITY IN BASIC CALCULUS

QUOTIENT RULE


I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.


  1. "\\frac{x^2-7x}{2x^3+5x^2}"
  2. "\\frac{3x^2+7x-14}{x^3-4x^2}"
  3. "\\frac{2x^3+8x^2}{x^2+6x^2-10}"




II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.


1. Example must have two different terms in numerator, and three different terms in denominator

eg. (do not copy)

\ny="\\frac{8x^2-3x}{x^2+6x^2-10}"


2. Example must have three different terms in numerator, and three different terms in denominator

eg. (do not copy)

\ny="\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"

ACTIVITY IN BASIC CALCULUS

QUOTIENT RULE


  I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.


  1. "\\frac{x^2-7x}{2x^3+5x^2}"
  2. "\\frac{3x^2+7x-14}{x^3-4x^2}"
  3. "\\frac{2x^3+8x^2}{x^2+6x^2-10}"




II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.


1. Example must have two different terms in numerator, and three different terms in denominator

eg. (do not copy)


y= "\\frac{8x^2-3x}{x^2+6x^2-10}"


2. Example must have three different terms in numerator, and three different terms in denominator

eg. (do not copy)


y= "\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"


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