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Algebra and Trigonometry (MindTap Course List)
- Photography A photographer takes a picture of a three-foot-tall painting hanging in an art gallery. The camera lens is 1 foot below the lower edge of the painting (see figure). The angle subtended by the camera lens x feet from the painting is given by =arctan3xx2+4,x0. (a) Use a graphing utility to graph as a function of x. (b) Use the graph to approximate the distance from the picture when is maximum. (c) Identify the asymptote of the graph and interpret its meaning in the context of the problem.arrow_forwardUse calculus to find the absolute maximum and minimum values of the function. f(x) = 3x − 6 cos x, −2 ≤ x ≤ 0 (a) Use a graph to find the absolute maximum and minimum values of the function to two decimal places. maximum minimum (b) Use calculus to find the exact maximum and minimum values. maximum minimumarrow_forwardFind the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) f(x, y) = 9y cos(x), 0 ≤ x ≤ 2?arrow_forward
- y1=y2 for interval (-2pi,2pi) use graphs to find real numbers (x) such that y1=y2 y1=cos(x) y2=-1arrow_forwarda) Find g''(-3) and g''(1) b) Find an equation of the line tangent to the graph of f at the point x = 1 c) Find the x-coordinate of all point(s) of inflection, if any, for the function g(x) on the open interval -5< x< 4. Justify d) On the same axis as the graph of g’, sketch the graph of g on the close interval [ -5,4]arrow_forward
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