determine the equation of the curve through the point (1,6) when dy/dx = 2x^2 + x....

[Simongreen93]

I have a few problems that I am really struggling with as it has been a while since I have done any integration, any answers or help will be greatly appreciated !

A) determine the equation of the curve through the point (1,6) when dy/dx = 2x^2 + x

B) Determine the equation of the curve through the point (3,0) when dy/dθ = 4cos2θ + 3sin3θ?

C) A sinusoid all current I=25sin100πt mA flows in a circuit, calculate the mean value between t=0 & t=10mS , mean value = 1/b-a ∫ idx?

D) A sinusoid all current I=25sin100πt mA flows in a circuit, calculate the mean value between t=0 & t=10mS , mean value = 1/b-a ∫ idx?

 

[braindead]

i have the exact same questions and I am also struggling was wondering if you managed to get any further with any of them?

 

[stapel]

I have a few problems that I am really struggling with as it has been a while since I have done any integration, any answers or help will be greatly appreciated !

Isn't your current class teaching you the material over which you're being tested? :shock:

A) determine the equation of the curve through the point (1,6) when dy/dx = 2x^2 + x

What is the relationship between the slope of a line (at a point) and the derivative of the line's equation? What is the relationship between the derivative of an equation and the original equation? What is the Power Rule for integrating polynomial terms?

B) Determine the equation of the curve through the point (3,0) when dy/dθ = 4cos2θ + 3sin3θ?

What are the derivatives of the trig functions? (You should have these memorized!) Then what is the general integral of the derivative equation? Plugging in the given point, what is "the" equation of the curve?

C) A sinusoid all current I=25sin100πt mA flows in a circuit, calculate the mean value between t=0 & t=10mS , mean value = 1/b-a ∫ idx?

What is the relationship here between "I" and "i"?

D) A sinusoid all current I=25sin100πt mA flows in a circuit, calculate the mean value between t=0 & t=10mS , mean value = 1/b-a ∫ idx?

How is this exercise different from (C) above?

Please be complete. Thank you!