Please help me Let f be the function given by f(x) = x 2 + 3x -1. If the tangent

Question

Please help me

Let f be the function given by f(x) = x 2 + 3x -1. If the tangent line to the graph of f at x =1 is used to find an approximate value of f. which of the following is the greatest value of x for which the errror resulting from this tangent line approximation is less than 0.3? 1.3 1.4 1.5 1.6 1.7 A light shines front the top of a pole 40 feet high. A ball is dropped from the same height from a point 10 feet away from the light, as thown in the figure above Jfthe position of the ball at time t is given by y(t) = 40 -16 t 2, how fast is the shadow moving one second after the ball is released? -16 ft/sec -32 ft/sec -40 ft/sec -50 ft /sec -60 ft sec The base of the solid is an elliptical region enclosed by the graph of x2/4 + y2 = 1. If cross section of the solid perpendicular to the y-axis are isosceles right mangles with the hypotenuse in the base, What is the volume of the solid? 16/3 20/3 8 26/3 32/3

Explanation / Answer

From approximation using slope at x=1 we get y1=3 +5(x-1)

and actual value y2=x^2+3x-1
So

y2-y1<0.3

Solve the eqn to get x=1.54
Hence ans is 1.5

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