Explain why amino acids are insoluble in diethyl ether but N-acetyl amino acids are soluble.

Explain why amino acids, unlike most amines and carboxylic acids, are insoluble in diethyl ether.

Multiply

$$\frac{x^2 – 5x – 6}{x^2 – 12x + 36} \cdot \frac{x^2 – 36}{x^2 – 19x – 20}$$

Identify any restrictions on x.

Suppose an object moves on the surface of a sphere with |r(t)| constant for all t. Show that r(t) and a(t)=r''(t) satisfy $\mathbf { r } ( t ) \cdot \mathbf { a } ( t ) = - | \mathbf { v } ( t ) | ^ { 2 }$.

In how many of the passwords of Exercise 14 (a) are the first three digits even? (b) are the three even digits consecutive? (c) are the four odd digits consecutive? (d) are no two odd digits consecutive?

Consider a rectangle that has a perimeter of 120 ft. Write a function B(l) that represents the area of the rectangle with length l

Analyze the social mobility that has occurred in your family for the last two generations (or more, if you prefer). Use sociological concept in your analsis.

An airplane climbs at an angle of $15^\circ$ with a horizontal component of speed of $200\ \mathrm{km/ h}$. (a) What is the plane 's actual speed? (b) What is the magnitude of the vertical component of its velocity?

The first term of a geometric sequence is 4 and grows exponentially by a factor of 3. Murphy writes out the terms and say that the sum of the 4th and 5th terms is 1.296. Explain Murphy's error and correct it.

Roger is comparing a model of a sugar molecule to a model of an amino acid. Which of the following evidence statements would be supported by the two models? A. Sugars and amino acids are made of exactly the same elements. B. Sugars and amino acids have the same structure. C. Sugars and amino acids are made of the same elements but amino acids also contain nitrogen. D. Sugars and amino acids are made of the same elements but sugars also contain phosphorus. E. Sugars and amino acids are both polymers.

Use double integrals to find the area inside the curve $r = 1 + \sin \theta$

When you jump up, the world really does recoil downward. Why can’t this motion of the world be noticed?

$$\frac { 5 } { 2 } \times \frac { 3 } { 2 }$$

Find the number of permutations or combinations.

$$_{10}P_8$$