(adsbygoogle = window.adsbygoogle || []).push({}); For what value of b is the line y=10x tangent to the curve y=e^bx at some point in the xy-plane?

Ans: 10/e

Here are some more:

Let h be the function defined by h(x)=Integration of e^(x+t) dt (limit 0 to x^2) for all real numbers. Then h'(1)=

My ans. is coming as 2e^2-e but the correct answer available to me is 3e^2-e. Can any1 explain me how is that possible?

let c be the circle x^2+y^2=1 oriented counterclockwise in the xy plane. What is the value of the line integral (2x-y)dx+(x+3y)dy?

If {x} denotes the greatest integer not exceeding x, then what is the value of the integral of {x}e^-x dx (limit 0 to infinity)?

if f is the function defined by f(x)= xe^((-x^2)-(x^-2)) [for x is not equal to 0] and

0 [for x=0]

at how many values of x does the graph of f have a horizontal tangent line?

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# Homework Help: The circle can be parametrized

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