Integration by Substitution

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Fixed base. Chain base. Laspeyres Price and Quantity. Paache Price and Quantity. Interpretation. 

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Reading information from the equation of the line. Graph shown

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Printing errors in the work produced by a particular film occur randomly at an average rate of p per page.

i.What is the probability that a one page document will contain x1 printing error(s)?

ii.If a n page document is printed, calculate the probability of having more than x2 errors. Assume a Poisson distribution.

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Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Scores  in 20 games and frequency given -- calculate mean.

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Scores  in 20 games and frequency given -- calculate mean.

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Scores  in 20 games and frequency given -- calculate mean.

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Scores  in 20 games and frequency given -- calculate mean.

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Scores  in 20 games and frequency given -- calculate mean.

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Basic indefinite integrals, Basic definite integrals, integration by substitution

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Basic indefinite integrals, Basic definite integrals, integration by substitution

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Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

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Integration by Substitution

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Basic indefinite integrals, Basic definite integrals, integration by substitution

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Definite Intgerals

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Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$

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5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Antiderivatives

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Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

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Simple Percentages

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A student selects a card from a deck of 52 and rolls a dice once.

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Basic Derivatives, Product Rule, Quotient Rule, Chain Rule, Implicit Differentiation, Differentiating trigonometric and logarithmic functions, tangents 

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Multiplying and dividing decimals

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