Cracking The Ap Calculus ab Exam 2018

substitution. Let u = e^3 x and du = 3e^3 x dx. Divide du by 3 so that du = e^3 x dx. Substituting int ...

Next, we need to find where the two curves intersect, which will be the endpoints of the reg ...

Next, we need to find where the two curves intersect, which will be the endpoints of the reg ...

Next, we need to find where the two curves intersect, which will be the endpoints of the reg ...

Notice that in the region from x = −1 to x = 0 the top curve is f(x) = 0 (the x-axis), and ...

Next, we need to find where the two curves intersect, which will be the endpoints of the reg ...

Next, we need to find where the two curves intersect, which will be the endpoints of the reg ...

Next, we need to find where the two curves intersect, which will be the endpoints of the reg ...

Next, we need to find where the two curves intersect, which will be the endpoints of the reg ...

f(x) = and the x-axis. First, we need to find the endpoints of the region. We do this by setting f(x) ...

volume by evaluating π ( y^2 )^2 dy = π (5y^4 ) dy. We get π (5y^4 ) dy = π(y^5 ) = 2π. 8 π When th ...

volume using cylindrical shells. We use the formula V = . Here we have f(y) = (which we get by solvi ...

10. To find the volume of a solid with a cross-section of a square, we integrate the area of the isos ...

Therefore, y^4 = − 236. Now we isolate y. We get the equation y = . y = We solve this diffe ...

Now we isolate y. y^3 = 3ex + C y = Now we solve for C. We plug in x = 0 and y = 1. 1 = C = − ...

Therefore, the equation is = + C, which can be rewritten as y = 2x^2. y = sin−1(− cos x) We ...

y = Cekt Next, we plug in y = 4,000 and t = 0 to solve for C. 4,000 = Ce^0 C = 4,000 Now, w ...

our equation for the velocity of the rock is v = −9t + 18. Next, because the height of the rock is the d ...

m = Ce−kt Now we can solve for C by plugging in m = 10,000 and t = 0:10,000 = Ce^0 , so C = 10 ...

10. ...