Draw and label a diagram showing the stages in the life cycle of a typical gymnosperm

Find the value of the power.

$$\left( \frac { 4 } { 9 } \right) ^ { 1 }$$

A store sells two models of laptop computers. Because of the demand, the store stocks at least twice as many units of model A as of model B. The costs to the store for the two models are $800 and$1200, respectively. The management does not want more than $20,000 in computer inventory at any one time, and it wants at least four model A laptop computers and two model B laptop computers in inventory at all times. Find and graph a system of inequalities describing all possible inventory levels.

Which statement best describes energy transfer in a food web? (1) Energy is transferred to consumers, which convert it to nitrogen and use it to make amino acids. (2) Energy from producers is converted into oxygen and transferred to consumers. (3) Energy from the sun is stored in green plants and transferred to consumers. (4) Energy is transferred to consumers, which use it to produce food.

Summarize the water cycle using the following terms: evaporation, condensation, and precipitation.

(a) Draw a diagram showing the magnesium ion: (b) Draw a diagram showing the oxide ion:

Draw a diagram explaining the water cycle. Label the processes involved as biological or physical/chemical.

Assume the given equation define y as a differentiable function of x and find dy/dx.

$$\left(x^{2}-y\right)^{3 / 2}+x^{2} y=2$$

Describe and draw the general life cycle of a gymnosperm. Label which part of the plant is sporophyte (diploid), and male and female gametophyte (haploid). Label gametes and identify where in the life cycle fertilization and meiosis occurs. In addition label pollination.

Evaluate the following limits in terms of the parameters a and b, which are positive real numbers. In each case, graph the function for specific values of the parameters to check your results.

$$\lim _ { x \rightarrow 0 ^ { + } } \left( a ^ { x } - b ^ { x } \right) ^ { x }$$

, a>b>0

Solve each system. Tell how many solutions each system has.

$$\left\{ \begin{array} { c } { x - 3 y = 4 } \\ { - 5 x + 15 y = - 20 } \end{array} \right.$$

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An electric motor rotating a workshop grinding wheel at a rate of $1.00 \times 10 ^ { 2 } \textrm{rev/min}$ is switched off. Assume the wheel has a constant negative angular acceleration of magnitude $2.00 \textrm{rad/s}$ $^2$. How long does it take for the grinding wheel to stop?

Sketch the region of integration and compute the double integral (either in the order of integration given or with the order reversed).

$$\int_{0}^{4} \int_{x^{2}}^{4 x} d y \ d x$$

Write the partial fraction decomposition of each rational expression. $\frac{1}{(2 x+3)(4 x-1)}$