Recent questions in Precalculus
Polynomials

Polynomials

Polynomials

Polynomials

### Divide the polynomials $$\displaystyle-{13}{x}^{{2}}+{4}{x}^{{3}}+{2}{x}-{7}$$ and explain each step. State the answer in full sentence and ecxpress it as one expression. Check your solution.

Transformations of functions

### Find the limit and discuss the continuity of the function. $$\displaystyle\lim_{{{x},{y}}}\rightarrow{\left({\frac{{\pi}}{{{4}}}},{2}\right)}{y}{\cos{{x}}}{y}$$

Transformations of functions

Polynomials

Polynomials

Polynomials

Polynomials

Polynomials

Polynomials

Trigonometry

### Please, help to find a model for simple harmonic motion satisfying the specified conditions. Displacement (t = 0) 0, Amplitude 3 meters, Period 6 seconds.

Transformations of functions

### Sketch the graph of the function f(x)=[x]]+[∣−x] $$\displaystyle{b}{e}{g}\in{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}{\left\lbrace{l}\right\rbrace}{\left\lbrace\ \text{ (a) Evaluate }\ {f{{\left({1}\right)}}},{f{{\left({0}\right)}}},{f}{\left({\frac{{{1}}}{{{2}}}}\right)},\ \text{ and }\ {f{{\left(-{2.7}\right)}}}\right\rbrace}\backslash{\left\lbrace\ \text{ (b) Evaluate the limits }\ \lim_{{{x}\rightarrow{1}^{{-}}}}{f{{\left({x}\right)}}},\lim_{{{x}\rightarrow{1}^{{+}}}}{f{{\left({x}\right)}}},\ \text{ and }\ \lim_{{{x}\rightarrow{1}&#{x}{2}{F}.{2}}}{f{{\left({x}\right)}}}\right\rbrace}\backslash{\left\lbrace\ \text{ (c) Discuss the continuity of the function. }\ \right\rbrace}{e}{n}{d}{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}$$

Exponential models

Polynomials

Polynomials

### Find the difference of the polynomials. $$\displaystyle{\left({3}{x}^{{2}}+{2}{x}-{1}\right)}-{\left(-{5}{x}^{{2}}+{8}{x}+{4}\right)}$$

Probability and combinatorics

Vectors

### Find the vector, not with determinants, but by using properties of cross products. $$\displaystyle{\left({i}\times{j}\right)}\times{k}$$

Composite functions