got a couple of calculus questions
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1. On what interval is the function f(x)=x^34x^2+5x concave upward? 2. For what values of x dies the graph of f(x)=2x^33x^26x+87 have a horizontal tangent? Is there no solution because the equation can't be factored? 3. At what

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Find the slope m of the tangent line to the graph of the function at the given point and determine an equation of the tangent line. f(x)=7x5x^2 at (2,34) m = ?? y = ?? .

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Suppose that f has a continuous second derivative for all x, and that f(0)=1, f'(0)=2, and f''(0)=0. A. Does f have an inflection point at x=0? Explain your answer. B. Let g'(x) = (3x^2 + 2)f(x) + (x^3 + 2x + 5)f'(x). The point

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find the equation of the tangent line to the curve y=5xcosx at the point (pi,5pi) the equation of this tangent line can be written in the form y=mx+b where m= and b= what is the answer to m and b?

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Use linear approximation, i.e. the tangent line, to approximate 8.4^(1/3) as follows: Let f(x)= x^(1/3) . The equation of the tangent line to f(x) at x=8 can be written in the form y=mx+c where m=1/12 and c=4/3: Using this, find

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Write the equation of the tangent line to the graph of the function at the indicated point. Check the reasonableness of your answer by graphing both the function and the tangent line. Y=(x2)/(15x^2) x=4 HOW DO WE DO THIS

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Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. {THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12.
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