An oscilloscope often displays a sawtooth curve. This curve can be approximated by sinusoidal curves of varying periods and amplitudes. Use a graphing utility to graph the following function, which can be used to approximate the sawtooth curve. $f(x)=\frac{1}{2} \sin (2 \pi x)+\frac{1}{4} \sin (4 \pi x), \quad 0 \leq x \leq 4$

Give the symbol and the equivalent in grams for the unit. Dekagram

What is the mass in grams of 13.2 amu?

The ________ exocrine gland stores its secretion until the glandular cell ruptures, whereas the ________ gland releases its apical region and reforms. a. holocrine; apocrine b. eccrine; endocrine c. apocrine; holocrine d. eccrine; apocrine

Find the exact value of each expression. Do not use a calculator. $4 \csc \frac{3 \pi}{4}-\cot \left(-\frac{\pi}{4}\right)$

Simplify.

$$y^3\cdot y^6$$

Divide and check:

$$( 18t^3- 24t^2 + 6t) \div ( 3t)$$

Solve the equation. -10|16x + 4| - 3 = -3

Find the region on which the function is continuous. $f(x, y)=3 x^{2} e^{4 y}-\frac{3 y}{x}$

Write each expression in the standard form a + bi. $(\sqrt{3}-i)^{6}$

Calculate.$\int{\tan^{3/2}x\sec^4x}dx$

(a) Write down the scheme using centered differences for the equation $u_{x x}+u_{y y}=f(x, y)$ (b) Use it with $\Delta x=\Delta y=0.5$ to solve the problem $u_{x x}+u_{y y}=1$ in the square $0 \leq x \leq 1,0 \leq y \leq 1$ with $u=0$ on the boundary (c) Repeat with $\Delta x=\Delta y=\frac{1}{3}$ . (d) Compute the exact value at the center of the square and compare with your answer to part (b).

a. State what is meant by the greenhouse effect. b. State the main greenhouse gases in the Earth’s atmosphere, and for each give three natural and three man-made sources.

Determine whether the given points are collinear. Points are collinear if they can be labeled P, Q, and R so that d(P, Q) + d(Q, R) = d(P, R). (3. 4), (0, 0), ( - 3. -4)