For Exercises 33-42, a. State whether the graph of the parabola opens upward or downward. b. Identify the vertex. c. Determine the x -intercept(s). d. Determine the y -intercept. e. Sketch the graph. f. Determine the axis of symmetry. g. Determine the minimum or maximum value of the function. h. Write the domain and range in interval notation. (See Example 3) f x = 2 x 2 + 3
For Exercises 33-42, a. State whether the graph of the parabola opens upward or downward. b. Identify the vertex. c. Determine the x -intercept(s). d. Determine the y -intercept. e. Sketch the graph. f. Determine the axis of symmetry. g. Determine the minimum or maximum value of the function. h. Write the domain and range in interval notation. (See Example 3) f x = 2 x 2 + 3
Solution Summary: The author explains how the graph of the parabola opens upward or downward for the function, and the standard equation for a parabolic curve.
8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.
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13: If the perimeter of a square is shrinking at a rate of 8 inches per second, find the rate at which its area is changing when its area is 25 square inches.
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11: A rectangle has a base that is growing at a rate of 3 inches per second and a height that is shrinking at a rate of one inch per second. When the base is 12 inches and the height is 5 inches, at what rate is the area of the rectangle changing?
University Calculus: Early Transcendentals (4th Edition)
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