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What is the domain and range of y equals x cubed?
The Domain and Range are both the set of real numbers.
When are y equals sin x and y equals cos x times cos x equal?
y=sin x y=cos x cos x sin x = cos^2 x sin x = 1-sin^2 x sin x -1 + sin^2 x = 0 sin^2 x + sin x -1 = 0 Let y=sin x y^2+y-1 = 0 This equation is of form ay^2+by+c=0 a = 1 b = 1 c = -1 y=[-b+/-sqrt(b^2-4ac)]/2a] y=[-1 +/-sqrt(1^2-4(1)(-1)]/(2)(1) discriminant is b^2-4ac =5 y=[-1 +√(5)] / 2 y=[-1 -√(5)] / 2 sin x = [-1 +√(5)] / 2 x = sin^-1 [-1 +√(5)] / 2] = 0.6662394 radians x = sin^-1 [-1 -√(5)] / 2] = sin^-1 (-1.618) -- has no solution When x = 0.6662394 radians, sin x and cos x times cos x are equal.
What is the domain and range of y equals the square root of x plus 6?
Domian is x>-6 Range is y> or equal to 0
What is the domain of the function G of F of x when F of x equals 8 minus x G of y equals square root of y G of F of x equals square root of 8 minus x?
x
Find the domain and range of f of x equals x squared minus 4?
D = {x [element of reals]}R = {y [element of reals]|y >= 4}
What is the range of y equals -sin x?
The range of -sin x depends on the domain of x. If the domain of x is unrestricted then the range of y is [-1, 1].
What is the domain of the function y sin x?
y= sin 3x
What is the range y equals - sin x?
Assuming a large enough domain, the range is -1 to 1.
If Sin equals x and Cos equals y then x squared equals what function of y?
If x = sin θ and y = cos θ then: sin² θ + cos² θ = 1 → x² + y² = 1 → x² = 1 - y²
What is sin(x plus y)-sin(x-y)?
The expression ( \sin(x + y) - \sin(x - y) ) can be simplified using the sine addition and subtraction formulas. It equals ( 2 \cos(x) \sin(y) ). Therefore, the result is ( 2 \cos(x) \sin(y) ).
The function y equals sin θ is not a function beacause sin 30 equals sin 150?
Y=sin X is a function because for each value of X, there is exactly one Y value.
Y equals 4 sin x for x equals pi?
sin(pi) = 0 so 4*sin(pi) = 0 so Y = 0
What is the domain and range of the sine function y is equal to 2 sin x?
Domain (input or 'x' values): -∞ < x < ∞.Range (output or 'y' values): -2 ≤ y ≤ 2.
What is the domain of the function y equals x plus 3?
Give the domain for
Determine the amplitude of y equals -2 sin x?
The amplitude of the wave [ y = -2 sin(x) ] is 2.
What is the domain of the graph of y equals 2 to the power of x?
The domain of y = 2x is [0, +infinity].
What is the domain and range for y equals 0 to 25 and x equals 0 to 10?
The domain is the x values, so x = 0 to 10. The range is the y values, so y = 0 to 25.
