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Why do we study lots of mathematics when we mostly end up relying on spreadsheets for basic calculations on the job?

asked Jun 20 in Mathematics by ♦MathsGee Diamond (75,934 points) | 67 views

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For the following function state the following: its domain, any discontinuities and their types, what values should redefine the function to remove any removable discontinuities (give the extended function).

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 814 views

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What are the different types of discontinuities in calculus?

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 12 views

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Find the points of continuity and discontinuity of the following functions $$ \text { 1. } f(x)=\frac{1}{x^{2}+1} \quad \text { 2. } g(x)=e^{1 / x} $$

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 15 views

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When is a real-valued function continuous?

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 13 views

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Find the limit $\lim _{x \rightarrow \infty} x+e^{-x}$

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 12 views

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Find the limit $\lim _{x \rightarrow \infty} \frac{3 x+1}{|x|+2}$

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 12 views

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Find the limit $\lim _{x \rightarrow \infty} \frac{6 x^{2}-4 x^{5}+7 x-1}{12 x^{5}-3 x^{2}+2}$

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 17 views

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Find the limit $\lim _{x \rightarrow-\infty} \frac{x-9}{2 x-x^{2}}$

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 14 views

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Find the limit $\lim _{x \rightarrow \infty} \frac{x^{3}-6 x+1}{x^{2}+2 x-3}$

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 15 views

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What are horizontal asymptotes when dealing with limits in calculus?

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 17 views

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What is the End Behavior Model?

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 14 views

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How do you define infinite limits in calculus?

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 13 views

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Evaluate the following limit $$ \lim _{\theta \rightarrow 0} \frac{\sin \theta}{\theta} $$

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 15 views

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How does the sandwich/squeeze theorem for limits work?

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 15 views

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How do you explain left and right hand limits in calculus?

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 12 views

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Find the limit of $f(x)$ as $x$ approaches 2 for the following function. $$ f(x)=\left\{\begin{array}{ll} x^{2} & x \neq 2 \\ 0 & x=2 \end{array}\right. $$

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 15 views

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What are some of the properties of limits in calculus?

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 14 views

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In calculus, how are limits defined?

asked Jun 20 in Mathematics by TestMaverick Wooden (2,922 points) | 16 views

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What are teaching and learning strategies?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 11 views

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What is the multiplicative inverse of 1/16 ÷ 1/81 +-1/8?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 9 views

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A bag has balls of four colours red, blue, pink,green. Half the total number of balls are pink. One -fourth of the number of green balls equals one third of the number of blue balls.

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 12 views

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Find a and $b$ if $3 \sqrt{7} / 3-\sqrt{7}+3=\sqrt{7} / 3+\sqrt{7}=a+b \sqrt{7}$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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$\left(-9^{*} 24\right)$ divided by $[-15-(23)]$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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if a×b ={(3,2) (3,5) (5,2) (5,4)} then find a and b

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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If a, 4a and 6a+5 are in an arithmetic progression. What is the value of a?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 5 views

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Simplify $(2-\sqrt{\frac{5}{2}}+\sqrt{5})^2 - (2+\sqrt{\frac{5}{2}})^2$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 7 views

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P, Q, R, S, T and U are six students studying in a class. Each of them has a different height and weight. The tallest is not the heaviest .

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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Solve the simultaneous equations: $\frac{2}{\sqrt{x}}+\frac{3}{\sqrt{y}}=2$ and $\frac{4}{\sqrt{x}}-\frac{9}{\sqrt{y}}=-1$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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Find the partial fraction decomposition of the following expression: $$ \frac{x^{3}+3}{x^{2}-2 x-3} $$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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What are improper fractions?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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Find the partial fraction decomposition of $\frac{3 x^{4}-2 x^{3}+6 x^{2}-3 x+3}{x^{5}+3 x^{4}+4 x^{3}+12 x^{2}+4 x+12}$.

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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What are repeated quadratic factors?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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Find the partial fraction decomposition of the following expression: $$ \frac{6 x^{2}+21 x+11}{x^{3}+5 x^{2}+3 x+15} $$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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What are linear factors?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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What are repeated linear factors?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 5 views

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What are quadratic factors?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 6 views

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Find the partial fraction of the following expression: $$ \frac{x^{2}+5 x-6}{x^{3}-7 x^{2}+16 x-12} $$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 7 views

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Find the partial fraction decomposition of the following expression: $$ \frac{2 x-1}{x^{3}-6 x^{2}+11 x-6} $$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 9 views

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What are partial fractions of functions?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 7 views

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What is the definition of $e$, the base of the natural logarithm?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 7 views

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Using a right-angled triangle how can we derive the trigonometric identity $1+\cot ^{2} \theta=\csc ^{2} \theta$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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How is the unit circle and trig functions?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 9 views

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Factor the polynomial $x^{5}+x^{4}-2 x^{3}+4 x^{2}-24 x$.

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 10 views

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What are the steps and methods for factoring polynomials?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 23 views

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What are complex conjugates?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 5 views

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How are complex numbers related to real numbers?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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Is $f(x)=2 x-x^{2}$ even, odd, or neither?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 9 views

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When is a mathematical function classified as even?

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 8 views

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Find the inverse function of $$ f(x)=\frac{5 x+2}{4 x-3} $$

asked Jun 19 in Mathematics by ♦MathsGee Diamond (75,934 points) | 9 views

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