3. Let f be the function given by f(x)=5e3x3. For what positive value of a is the slope of the line tangent to the graph of f at (a,f(a)) equal to 6?






Answer is: option2

0.344

Solution:

Slope of line tangent = f(a)=6

f(x)=45x2e3x2=6

Now, graph and find the zeroes of

45x2e3x26=0

x=0.344

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