# Textbook Notes for Al- Faisal, Faisal

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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 1a: Riemann Sum

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25 Jul 2018
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Notice that on a small interval, velocity is approximately constant on subinterval. [(cid:1872) (cid:2869),(cid:1872)] (cid:4666)(cid:1872) (cid:2869)(
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 2a: Riemann Sum, Gini Coefficient, Lorenz Curve

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25 Jul 2018
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Suppose that you want to compute the area enclosed by the curves (cid:885)(cid:1876)+(cid:1877)=(cid:888),(cid:1877)=(cid:1876)(cid:2870) (cid:886), an
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 2c-3a: Product Rule, Differentiation Rules, Good Luck!!

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25 Jul 2018
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= 0, = sin(), = 0: (sin2()) , (sin2()), . Consider the region lying between the curves = 4 and =2. For each line below, write an expression that approx
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 7a: Ratio Test, Integral Test For Convergence

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25 Jul 2018
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Math136h1 class 7a taylor polynomials and series. The first expression is the formula for the sum of the geometric series. The second series diverges (
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 6e: Ratio Test, Integral Test For Convergence, Indeterminate Form

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25 Jul 2018
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Math136h1 class 6e tests for series convergence. Convergence of series involving positive and negative terms. Thus, it is much easier to just get rid o
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 6c: Ampicillin, Quadratic Function

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25 Jul 2018
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A linear approximation for a curve (cid:1858)(cid:4666)(cid:4667) near = is the inear function (cid:4666)(cid:4667) that most closely approximates (cid
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter 3e: Class3E_Notes

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25 Jul 2018
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The picture below shows two functions (cid:1858) and (cid:1859) that intersects at exactly two points (cid:4666)(cid:1876)=(cid:882), (cid:1876)= (cid:
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 1f: Chain Rule, Quotient Rule, Antiderivative

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25 Jul 2018
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If we are trying to evaluate the integral (cid:1857)c(cid:2925)(cid:2929)sin(cid:1856), which substitution would be most: (cid:1873)=cos, (cid:1873)=si
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 1e: Normal Distribution, Antiderivative, Cookie Dough

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25 Jul 2018
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 3b: Partial Fraction Decomposition, Antiderivative

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25 Jul 2018
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Math136 lecture 16 integration by partial fraction. Example: reducing partial problem to find an integral: O(cid:374)ce (cid:449)e ha(cid:448)e a(cid:3
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter Notes - Chapter 4b-5d: The Takeaway, Exponential Decay, Relate

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25 Jul 2018
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A diver who is 50 ft below the surface of wter will exepreince hydrostatic pressure oh half of the magnitude as when they are 100 ft below the surface
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UTSGMAT136H1Al- Faisal, FaisalSummer

## MAT136H1 Chapter 6.1: Additional Notes from 6.1 of Textbook

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25 Jul 2018
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The area, , of the region bounded by the curves (cid:1877)=(cid:1858)(cid:4666)(cid:1876)(cid:4667),(cid:1877)=(cid:1859)(cid:4666)(cid:1876)(cid:4667)
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