Derivatives
The derivative of x3+3x2+x+10480293850289781249812749832049283509701975059703 is
3x2+6x+1
The integral of ∫4x6−2x3+7x−4 dx is
4/7 x7 − 1/2 x4 + 7/2 x2 − 4x + C
Does Σ∞n=1(1/n5) converge or diverge.
Converges
Isn't this section going to be fun and enjoyable?
Yes
1+1=
2
What is the derivative of cos(x)sin(x)
cos2(x)-sin2(x)
The integral of ∫tan(x) dx
-ln|cos(x)| + C or ln|sec(x)| + C
What does Σ∞n=2(4/5)n converge to
16/5
What does this power series converge to
1-(x2/2!)+(x4/4!)-(x6/6!)+(x8/8!)-...
ex
limx->∞(x2+3x+2)/(4x2+5)
1/4
What is the derivative of cos2(x)/(x2+1)
(-2cos(x)sin(x)(x2+1)-2xcos2(x))/(x2+1)2
What is the area under the curve sqrt(4-x2)
2pi
Does Σ∞n=1(-1)n(4/x) converge or diverge
Diverges
What is the interval of convergence of Σ∞n=1(x+3)n/(4x2)n
x< -3/4 or x >1
Calculate the left Riemann sum with 5 equal subintervals from 0 to 10 for the graph x2
240
What is the derivative of arctan(cot(x2+1))
(Simplify fully)
-2x
The integral of ∫cos(x)ex dx is
(1/2)(ex)(cos(x)+sin(x)) + C
Does Σ∞n=2 1/(n(ln n)2) converge or diverge
Converges
What is the maximum possible error of the fourteenth-degree polynomial at x = 1 of the power series of sin(2x2) centered around x = 0
0.000353
limx->∞(x50+5x+3)/(ex+3x10+2)
0
What is the derivative of ln(x2+1)/(xsin(x))
(2x2sin(x))/((x2+1)(x2sin2(x))) - (ln(x2+1)(sin(x)+xcos(x)))/(x2sin2(x))
The integral of ∫10 (x2)/(sqrt(1-x2) is
pi/4
Does Σ∞n=1(3n2+7)/(2n3-5) converge or diverge
Diverges
Find the slope of the line tangent to the polar curve at θ = pi/4 for the rose curve r = 3sin(θ)cos(θ)
(btw aren't you having fun?)
-1
Whose fault is it that the jeopardy was hard, if you thought it was?
Jason