Calculus
Use either substitution or integration by parts to evaluate the integral: ∫(x+2)/(x²+2) dx Thank you!!
Calc
First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals: ∫ sinx cos³x e^(1-sin²x) dx I was going to substitute u= 1 - sin²x, but then i got du = ½ sinxcosx - ½ xdx, so im stuck. Thank you ...
Calc
Use integration by parts to evaluate the integral. ∫ from 1 to 4 of (√x) (ln√x) dx Im not really sure what to choose for u and dv. Thank you so much for the help!!
Calculus
F(x) = cos(x) • the integral from 2 to x² + 1 of e^(u² +5)du Find F'(x). When i did this, i got: -2xsin(x)e^((x²+1)² + 5) But my teacher got: -sin(x) • the integral from x² + 1 of e^(u² +5)du + 2xcos(x)e^((x²+1)² + 5) Do yo...
physics
To plot the potential energy, simply plug your givens into the equation U=(1/2)kx^2. You should get a parabola that goes to 0 in the center. To determine the turning points of the block, use the law of conservation of energy. You know that Ui+Ki = Uf+Kf since there is no frict...
Statistics
The production process of computer parts uses two machines one old & one new. If the old machine is used the probability that the defected part is produced is .13 if the new machine is used the probability that the defective part is produced is .04. moreover, the new machine p...
Physics
F=kx F (tension of the strand)=1.2 pN x (displacement)=26 µm Solve for k, which is the spring constant. You may need to convert your unit measurements, as your answer's unit will come out in pN/µm instead of the standard N/m. (I know this is a little late, but ...
Calculus
A particle moves along the x-axis with velocity v(t) = -(t-3)² + 5 for [0,6]. a) Find the average velocity of this particle during the interval [0,6]. b) Find a time t* ∈ [0,6] such that the velocity at time t* is equal to the average velocity during the interval [0...
Calc
Recall that the acceleration a(t) of a particle moving along a straight line is the instantaneous rate of change of the velocity v(t); that is, a(t) = d/dt v(t) Assume that a(t) = 32 ft/s². Express the cumulative change in velocity during the interval [0, t] as a definite...
Calc
Find the areas of the regions bounded by the lines and curves by expressing x as a function of y and integrating with respect to y. x = (y-1)² - 1, x = (y-1)² + 1 from y=0 to y=2. I graphed the two functions and the do not intersect? Does it matter? Or do I still fin...
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