let ( f ) be a function such that at each point ( (x, y) ) on the graph of ( f ), the slope is given by (…

let ( f ) be a function such that at each point ( (x, y) ) on the graph of ( f ), the slope is given by ( \frac{dy}{dx}=\frac{1}{2}x-\frac{1}{4}y^{2} ). the graph of ( f ) passes through the point ( (1,-2) ) and is concave up on the interval ( 1 < x < 1.5 ). let ( k ) be the approximation for ( f(1.3) ) found by using the locally linear approximation of ( f ) at ( x = 1 ). which of the following statements about ( k ) is true?\n\na ( k=-2.65 ) and is an underestimate for ( f(1.3) )\nb ( k=-2.65 ) and is an overestimate for ( f(1.3) )\nc ( k=-2.15 ) and is an underestimate for ( f(1.3) )\nd ( k=-2.15 ) and is an overestimate for ( f(1.3) )

let ( f ) be a function such that at each point ( (x, y) ) on the graph of ( f ), the slope is given by ( \frac{dy}{dx}=\frac{1}{2}x-\frac{1}{4}y^{2} ). the graph of ( f ) passes through the point ( (1,-2) ) and is concave up on the interval ( 1 < x < 1.5 ). let ( k ) be the approximation for ( f(1.3) ) found by using the locally linear approximation of ( f ) at ( x = 1 ). which of the following statements about ( k ) is true?\n\na ( k=-2.65 ) and is an underestimate for ( f(1.3) )\nb ( k=-2.65 ) and is an overestimate for ( f(1.3) )\nc ( k=-2.15 ) and is an underestimate for ( f(1.3) )\nd ( k=-2.15 ) and is an overestimate for ( f(1.3) )

Answer

Explanation:

Step1: Find the slope at ([SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]