Business Calculus and Y-Intercept

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  107958 Calculus: Domain, Range, Intercepts F(x,y)=1/(x^2+y^2) Is the domain (-infinity, 0) union (0, infinity)? Is the range (0, 1]? What are the x and y intercepts and is the z intercept undefined?

• Using implicit differentiation to determine equation of the line

  At the point (1,2), substitute into the original equation to find the slope The tangent line has the form: y = -0.5x + intercept.

• find the relative maximal and minimal

  Therefore, the x intercept is -4, 1 and 3 and y intercept is -24. f'=-6x^2+26. Please see attached file for complete solution. The solution provides detailed explanation how to find the relative maximal and minimal.

• Using Calculus for the Weather Balloon Problem

  Substitute m = 1.3, x = 4 and y = 5 into the slope intercept form to get 5 = 1.3 * 4 + b Solve for b. 5 = 5.2 + b b = 5.2 - 5 b = -0.2 Substitute the values for b and m into the slope intercept form of the line.

• Graphing

  making it as our x-intercept and y-intercepts.

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  x-intercept occurs when y = 0 x-intercepts occurs when x = 0 and x = 5. y-intercept occurs when x = 0 y-intercept occurs at y = 0.

• Functions : Domain and Range and X-intercepts

  To calculate the maxima, we take the first derivative with respect to x and equate it to zero: y=-x^2-20x-3 y'=-2x-20=0 -2x=20 x=-10 If you don't know calculus yet, then it is a given that a minima of a parabola is at x=-b/2a where the parabola

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• Calculus

  points (-5, -10) and (12, 20) □ slope = 1.76, y-intercept = 1.18, y = -1.76x + 1.18 □ slope = 1.76, y-intercept = -1.18, y = -1.76x - 1.18 □ slope = 0.57, y-intercept = 13.2, y = -0.57x + 13.2 □ slope = 0.57, y-intercept