Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ). $$\int_{16}^{25} \int_{2}^{7} \frac{3+5 y}{\sqrt{x}} d y d x$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ). $$\int_{1}^{6} \int_{1}^{6} \frac{d x d y}{5 x y}$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ). $$\int_{1}^{5} \int_{2}^{4} \frac{1}{y} d x d y$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ). $$\int_{3}^{9} \int_{5}^{7}\left(\frac{x}{y}+\frac{y}{5}\right) d x d y$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ). $$\int_{3}^{4} \int_{1}^{2}\left(\frac{6 x}{5}+\frac{y}{x}\right) d x d y$$

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Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ). $$\int_{1}^{2} \int_{4}^{9} \frac{3+5 y}{\sqrt{x}} d x d y$$

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Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).$$\int_{0}^{3} \int_{4}^{5} x \sqrt{x^{2}+3 y} d y d x$$

There is lightning rod on the top of a building. From a location 500 feet from the base of the building, the angle of elevation to the top of the building is measured to be $36^{\circ} .$ From the same location, the angle of elevation to the top of the lightning rod is measured to be $38^{\circ} .$ Find the height of the lighthning rod.

(III) Suppose a nonconducting rod of length $d$ carries auniformly distributed charge $Q$ . It is rotated with angularvelocity $\omega$ about an axis perpendicular to the rod at oneend, Fig. $48 .$ Show that the magnetic dipole moment of this rod is 6$Q \omega d^{2} .$ [Hint:Consider the motionof each infinitesimallength of the rod.]

A certain Christmas tree ornament is a silver sphere having a diameter of 8.50 cm. (a) If the size of an image created by reflection in the ornament is three - fourth’s the reflected object’s actual size, determine the object’s location. (b) Use a principal - ray diagram to determine whether the image isupright or inverted.

What occurs in the procedure known as in vitro fertilization (IVF)?a. A sperm is injected into the egg externally.b. An egg is fertilized by the sperm internally in the oviduct.c. Eggs and sperm are combined externally and then implanted.d. Egg and sperm are combined externally and the resulting embryo is implanted.

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## Recommended Questions

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{0}^{3} \int_{4}^{5} x \sqrt{x^{2}+3 y} d y d x$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{3}^{9} \int_{5}^{7}\left(\frac{x}{y}+\frac{y}{5}\right) d x d y$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{1}^{5} \int_{2}^{4} \frac{1}{y} d x d y$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{16}^{25} \int_{2}^{7} \frac{3+5 y}{\sqrt{x}} d y d x$$

There is lightning rod on the top of a building. From a location 500 feet from the base of the building, the angle of elevation to the top of the building is measured to be $36^{\circ} .$ From the same location, the angle of elevation to the top of the lightning rod is measured to be $38^{\circ} .$ Find the height of the lighthning rod.

(III) Suppose a nonconducting rod of length $d$ carries a

uniformly distributed charge $Q$ . It is rotated with angular

velocity $\omega$ about an axis perpendicular to the rod at one

end, Fig. $48 .$ Show that the magnetic dipole moment of this rod is 6$Q \omega d^{2} .$ [Hint:

Consider the motion

of each infinitesimal

length of the rod.]

A certain Christmas tree ornament is a silver sphere having a diameter of 8.50 cm. (a) If the size of an image created by reflection in the ornament is three - fourth’s the reflected object’s actual size, determine the object’s location. (b) Use a principal - ray diagram to determine whether the image is

upright or inverted.

What occurs in the procedure known as in vitro fertilization (IVF)?

a. A sperm is injected into the egg externally.

b. An egg is fertilized by the sperm internally in the oviduct.

c. Eggs and sperm are combined externally and then implanted.

d. Egg and sperm are combined externally and the resulting embryo is implanted.