Give examples of two sets that meet the given conditions. If the conditions are impossible to satisfy, explain why. The two sets are equal but not equivalent.

Sketch the space curve represented by the intersection of the surfaces. Then represent the curve by a vector-valued function using the given parameter. Surfaces: z = x²+y², x+y = 0 Parameter: x=t

Give examples of two sets that meet the given conditions. If the conditions are impossible to satisfy, explain why. The two sets are equivalent but not equal.

For an arithmetic sequence, the first term is A(1) = 3. Each successive term adds 2 to the previous term. Another arithmetic sequence has the rule B(n) = 5 + (n-1)d, where n is the term number and d is the common difference. If the graphs of the two sequences are parallel, what is the value of d? Explain.

Combine like terms. 9x² + 8y + 2x² - 8 - 4y

Verify that the given function is a solution of the differential equation. yy' + 4x = 0,

$$y = \sqrt { 12 - 4 x ^ { 2 } }$$

a. Name the five common types of precipitation. b. Compare and contrast freezing rain and sleet. c. A thunderstorm produces precipitation in the form of ice particles that are about 6 millimeters in diameter. What type of precipitation would this be? d. How do hailstones become so large in cumulonimbus clouds?

Solve the initial-value problem.

$$\frac { d y } { d x } - 2 x y = 2 x$$

, y(0)=3

Find the principal needed now to get each amount; that is, find the present value. To get $600 after$2$ years at 4% compounded quarterly.

Give the structure for each of the following aromatic hydrocarbons. m-diethylbenzene

Show that the value of

$$3 x ^ { 2 } - 6 x + 5$$

cannot be less than 1.

From an observation point on Earth, the angle subtended by the sum 150,000,000 km away is about 0.0093 radians. Approximate the diameter of the sun by finding the length of the red arc.

Simplify: 13 1/3 - (4.75 + 3/4) (mixed-number answer)

The Sailing Club of Lakeport is holding an election to choose the club president. The 42 votes were cast as follows: Comstock, 20 votes; Owens, 15 votes; and Glazer, 7 votes. (a) Using the plurality method, which candidate is elected president? (b) Did this candidate receive a majority of votes?