$f(x)=\sin x, g(x)=\cos x, h(x)=2 x,$ and $p(x)=\frac{x}{2}.$ Find the value of each of the following: $(f-g)\left(60^{\circ}\right)$

Use your calculator to write the following in the form $10^{x}$ where x is correct to 4 decimal places: 6

Determine whether 97 divides $n^{2}-85$ for some choice of $n \geq 1$

What factors influence how quickly chyme leaves the stomach?

In each part, Determine whether the three vectors lie in a plane in R3. (a) v1 = (2, -2, 0) , v2 = (6, 1, 4), v3 = (2, 0 , -4) (b) v1= (-6, 7, 2), v2 = (3, 2, 4), v3 = (4, -1, 2)

Compare the intensity of a $100-W$ lightbulb while you are reading this book to the intensity of the Sun. What assumptions did you make?

Find parametric descriptions for the following surfaces. Plane 2x-4y+3z=16

The given function represents the height of an object. Compute the velocity and acceleration at time t0. h(t)=10t^2-4t, (a)t0=2, (b) t0=1. Is the object going up or down?

Compare. Use >, <, or = to complete each statement. 2/3 ? 2/5

Verify that the infinite series diverges. ∑_(n=1)^∞ (2^n + 1) / (2^n + 1)

Biologists consider a species of animal or plant to be endangered if it is expected to become extinct within 20 years. If a certain species of wildlife is counted to have 1147 members at the present time, and the population has been steadily declining exponentially at an annual rate averaging 39% over the past 7 years, do you think the species is endangered? Explain your answer.

Give the name or condensed structural formula, as appropriate: 3-phenylpentane

Graph the ordered pair on a coordinate plane. C(-1, 4)

Use partial fractions to find the inverse Laplace transforms of the function:

$$F ( s ) = \frac { 1 } { s ^ { 2 } - 4 }$$