Consider the fundamental units to be kilograms, meters, seconds, and amperes. Write the following units in terms of : coulombs.

Perform the multiplication and use the fundamental identities to simplify. $(5-5 \sin x)(5+5 \sin x)$

Using the Fundamental Theorem, evaluate the definite integral in Problem.

$$\int_1^2(2 x+3) d x$$

Use the Fundamental Theorem to calculate the definite integrals. $\int _ { 0 } ^ { \pi } \cos ( x + \pi ) d x$

In this problem use the fundamental identities and the even-odd identities to simplify each expression.

$$\sec (-x) \cos x$$

A pipe that is closed at one end has a fundamental frequency of 330 Hz. How long is the pipe?

Perform the addition or subtraction and use the fundamental identities to simplify.

$$\tan x+\frac{\cos x}{1+\sin x}$$

Use the Fundamental Theorem to compute each integral exactly. $\int_0^t 2 \cos x d x$

A certain lightning bolt moves 40.0 C of charge. How many fundamental units of charge is this?

Use the Fundamental Theorem of Calculus to evaluate the definite integral. $\int_1^4 2 x \sqrt{x} d x$

Use the Fundamental Theorem to show that the following are true. $\int_{a}^{b} k f(x) d x=k \int_{a}^{b} f(x) d x$

A 0.500-m-long brass pipe open at both ends has a fundamental frequency of 350 Hz. If the temperature is increased by 20.0$^ { \circ } \mathrm { C }$, what is the new fundamental frequency of the pipe? Be sure to include the effects of temperature on both the speed of sound in air and the length of the pipe.

A piano and guitar playing the same fundamental tone will have different relative contributions of each ---in their sound.

Use the fundamental identities to simplify these expressions.

$$\frac{\sin \theta}{\cos \theta \tan \theta}$$