A bat flying at 5.00 m/s is chasing an insect flying in the same direction. If the bat emits a 40.0-kHz chirp and receives back an echo at 40.4 kHz, (a) what is the speed of the insect? (b) Will the bat be able to catch the insect? Explain.

Why is wood considered to be a renewable resource?

1.A 20-mH inductance is in series with a $50 \ \mu \mathrm{F}$ capacitance. Sketch or use the computer program of your choice to produce a plot of the impedance magnitude versus angular frequency. Allow $\omega$ to range from zero to 2000 rad/s and the vertical axis to range from 0 to $100 \ \Omega.$ 2. Repeat with the inductance and capacitance in parallel.

Light enters a container of benzene at an angle of $43^{\circ}$ to the normal; the refracted beam makes an angle of $27^{\circ} \mathrm{with}$ the normal. Calculate the index of refraction of benzene.

State the derivative rule for the logarithmic function f(x)=$\log _ { b } x$. How does it differ from the derivative formula for ln x?

Which ecosystems do not have symbiotic relationships?

A. Deserts

B. All ecosystems contain symbiotic relationships

C. Tropical rainforests

List and describe the three main types of symbiotic relationships.

A thin glass rod is submerged in oil. What is the critical angle for light traveling inside the rod?

A boat with initial speed $v_{0}$ is launched on a lake. The boat is slowed by the water by a force $F=-\alpha e^{\beta v}.$ (a) Find an expression for the speed v(t). (b) Find the time and (c) distance for the boat to stop.

Let f(x) = cx + ln(cos(x)). For what value of c is f '(π/4) = 5?

Light is incident on the boundary between two media at an angle of $30^{\circ}$. If the refracted light makes an angle of $42^{\circ}$, what is the critical angle for light incident on the same boundary?

Give the derived SI units for each of the following quantities in base SI units:

$$force = mass \times acceleration$$

A bat flying toward a wall emits a chirp at 40 kHz. Is the frequency of the echo received by the bat greater than, less than, or equal to 40 kHz?

A student that you’re tutoring says that the two terms wave speed and wave frequency refer to the same thing. What is your response?