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Does a circle have a set of parallel lines?
A circle does not have a set of parallel lines in the traditional sense, as parallel lines are defined as lines that never intersect and remain equidistant from each other. However, you can draw lines that are tangent to a circle at various points, and these tangent lines can be parallel if they are at the same distance from the center of the circle. But in the context of the circle itself, it does not contain parallel lines.
What are the domains of sine cosine and tangent?
The domain of a function is the set of values of the independent variable for which the function is valid. In practice, this is the allowable values of X or, in this case, theta. The sine and cosine functions have a domain of all numbers from negative infinity to positive infinity. The tangent function, however, is sine(theta) / cosine(theta). Cosine(theta) has value of zero at theta equal to pi / 2, 3pi/2, 5pi/2, ... in the positive direction, and -pi/2, -3pi/2, -5pi/2, ... As a result, tangent(theta) is undefined at these values, so the domain of tangent is all numbers from negative infinity to positive infinity except all numbers n pi/2 where n is odd.
What are the possible values of k for which the line of y equals x -8 is tangent to the curve of y equals 4x squared plus kx plus 1 showing work?
Since the curves are tangent, they have the same slope at that point and the same x and y value at that point. Set equations equal and set slopes equal and solve Togetslope, you need to know calculus first derivative slope of one equation is dy/dx = 8x +k and the othereqaution slope is dy/dx = 1 so youhave 4x^2 + kx + 1 = x -8 8x + k = 1 4x^2 +kx -x + 9 = 0 8x + k -1 = 0 solve for k k ==-11 or +13
What is the set of every set?
the set of every set is that set
How was the meter defined in 1971?
Until 1983 the metre was defined at one ten millionth of the distance from the equator to the north pole. That definition has changed to reflect greater understanding and knowledge. Originally, the meter was based on the distance between the equator and the north pole along the meridian that went through Paris. That distance was set at 10,000 kilometers and the metre was ten millionth of the distance.
