Use technology to approximate the given integrals with Riemann sums, using (a) n=10, (b) n=100, and (c) n=1,000. Round all answers to four decimal places. $\int_{2}^{3} \frac{2 x^{1.2}}{1+3.5 x^{4.7}} d x$

Describe the following sets. B'∩C

Find parametric equations for the line of slope 2 that passes through the point (3, 5).

Find the solution of the equation using the given replacement set.

$$23 = \frac { d } { 4 } ; \{ 91,92,93,94,95 \}$$

Solve the heat equation (1) subject to the given conditions.

$$\begin{array}{ll}{\left.\frac{\partial u}{\partial x}\right|_{x=0}=0,} & {\left.\frac{\partial u}{\partial x}\right|_{x=1}=0} \\ {\left.\frac{\partial u}{\partial y}\right|_{y=0}=0,} & {\left.\frac{\partial u}{\partial y}\right|_{y=1}=0} \\ {u(x, y, 0)=x y}\end{array}$$

Compare the developmental patterns of monotremes, marsupials and placental mammals.

Based on London's biography and "The Law of Life", do you agree with E. L. Doctorow when he said "It was Jack London's capacity for really living in the world, for taking it on in self-conscious and often reckless acts of courage, that made him our first writer-hero"?

Suppose the position of an object moving horizontally after t seconds is given by the following functions s=f(t), where s is measured in feet, with s>0 corresponding to positions right of the origin. Determine the acceleration of the object when its velocity is zero. f(t)=

$$-t^2$$

+4t-3;

$$0 \leq t \leq 5$$

C. The following are two actions a driver should take to drive safely. Think about two other actions for safe driving which you have read about in the chapter. Then write them below.

1. manejar despacio por calles estrechas

Write electron configurations for each of the following. $\mathrm { Ti } , \mathrm { Ti } ^ { 2+ } , \mathrm { Ti } ^ { 4 + }$

Find the limit, if it exists. If the limit does not exist, explain why. lim x tends to 0-(1/x-1/|x|)

Consider an atom with two closely spaced excited states A and B. If the atom jumps to ground state from A or from B, it emits a wavelength of 500 nm or 510 nm, respectively. What is the energy difference between states A and B?

Estimate the limits numerically.

Verify that the matrices A and B are inverses of each other by calculating the products AB and BA.

$$A = \left[ \begin{array} { r r } { 2 } & { - 5 } \\ { - 2 } & { 6 } \end{array} \right] , \quad B = \left[ \begin{array} { l l } { 3 } & { \frac { 5 } { 2 } } \\ { 1 } & { 1 } \end{array} \right]$$