What would have happened if Pasteur had tipped one of his flasks so that the broth in the flask had come into contact With the curve of the neck?

A square loop of wire, with sides of lenght a, lies in the first quadrant of the xy plane, with one corner at the origin. In this region, there is a nonuniform time-dependent magnetic field $\vec{B}(y,t)=ky^3t^2\mathbf{\hat{z}}$ (where k is a constant). Find the emf induced in the loop.

Use a double integral in polar coordinates to find the area of the region described. The region enclosed by the rose r=sin 2θ.

An empty flask is placed in boiling water for a long period of time with the neck of the flask open to the air. The neck is then plunged with a stopper, and the flask is immersed in an ice-water mixture. What is the final pressure inside the flask?

If spontaneous generation does not occur and the principle of biogenesis is true, what scientific question remains?

In conducting his experiment, Spallanzani demonstrated a technique that would become universally used in the preservation of food. What was this technique?

Some business analysts estimate that the length of time people work at a job has a mean of 6.2 years and a standard deviation of 4.5 years. a) Explain why you suspect this distribution may be skewed to the right. b) Explain why you could estimate the probability that 100 people selected at random had worked for their employers an average of 10 years or more, but you could not estimate the probability that an individual had done so.

Did Spallanzani's experiment disprove the hypothesis that microorganisms could arise spontaneously from a "vital force" contained in the air? Discuss why Spallanzani's procedure did or did not disprove such a possibility.

What is the wavelength of a photon with an energy of $1.00$ eV ?

Describe the argument that spallanzani's experiment failed to disprove the occurrence of spontaneous generation. Explain how Pasteur's experiment addressed these criticisms.

Name one place that might be free of microorganisms.

Let

$$V = P_2$$

have the evaluation inner product at the points

$$x_0 = 1, x_1 = 0, x_2 = -1$$

, and let v = 1 + x. Compute T(x + x²).

Express in degrees and minutes to the nearest minute.

$$27.1 ^ { \circ }$$

List the possibilities for the nature of the roots of each equation.

$$x ^ { 4 } + 2 x ^ { 3 } + x ^ { 2 } + 1 = 0$$