Differentiable function f(x), 2{f(x)}^2f'(x)={f(2x+1)}^2f'(2x+1), f(-1/8)=1, f(6)=2, f(-1)=?
9:26
Differentiable function f(x), 2{f(x)}^2f'(x)={f(2x+1)}^2f'(2x+1), f(-1/8)=1, f(6)=2, f(-1)=?
f(x)=e^x (0＜=x＜1), e^2-x (1＜=x＜=2) (0＜=x＜=2) g(x)=∫0toxlf(x)-f(t)ldt, g(4/3)=?
5:13
f(x)=e^x (0＜=x＜1), e^2-x (1＜=x＜=2) (0＜=x＜=2) g(x)=∫0toxlf(x)-f(t)ldt, g(4/3)=?
Local maximum L(a)=?, max(L(a))=?, a=?, min(L(a))=?, a=?
3:51
Local maximum L(a)=?, max(L(a))=?, a=?, min(L(a))=?, a=?
(x,y) meets the region bounded by y＜=x+2 x+y-1＞=0 2x+y＜=4, max(x-2y)=? min(x-2y)=?
3:01
(x,y) meets the region bounded by y＜=x+2 x+y-1＞=0 2x+y＜=4, max(x-2y)=? min(x-2y)=?
Find the area of the region bounded by x^2+y^2＜=2lxl+2lyl
3:03
Find the area of the region bounded by x^2+y^2＜=2lxl+2lyl
Find the volume of the solid produced by revolving f(x) around the y-axis y∊[0,1]
2:10
Find the volume of the solid produced by revolving f(x) around the y-axis y∊[0,1]
S region is bounded by x,y-axis, tangent line. (a＞-1) max(S)=?
2:12
S region is bounded by x,y-axis, tangent line. (a＞-1) max(S)=?
x＜y＜z (x,y,z∊N) 1/x+1/y+1/z=1, x+y+z=?
2:31
x＜y＜z (x,y,z∊N) 1/x+1/y+1/z=1, x+y+z=?
Find the volume of the solid produced by revolving f(x) around the x-axis x∊[0,2]
1:27
Find the volume of the solid produced by revolving f(x) around the x-axis x∊[0,2]
∫e^xsin^3xdx=?
3:01
∫e^xsin^3xdx=?
Two continuous function f(x) g(x), g(e^x)=...., ∫1toe^2 g(x)dx=6e^2+4,∫1toe f(lnx)dx=ae+b, a^2+b^2=?
7:26
Two continuous function f(x) g(x), g(e^x)=...., ∫1toe^2 g(x)dx=6e^2+4,∫1toe f(lnx)dx=ae+b, a^2+b^2=?
Polynomial function f(x) {f'(x)}^2=4f(x), f(1)=0 f(0)≠0, f(x)=?
4:01
Polynomial function f(x) {f'(x)}^2=4f(x), f(1)=0 f(0)≠0, f(x)=?
Find the volume of the solid produced by revolving f(x)=√r^2-x^2, x∊[-r,r] around the x-axis.
2:45
Find the volume of the solid produced by revolving f(x)=√r^2-x^2, x∊[-r,r] around the x-axis.
f(x)=limt→x (t^5-x^5)/(t-x), limh→0(f(1+h)-f(1-h))/h=?
3:02
f(x)=limt→x (t^5-x^5)/(t-x), limh→0(f(1+h)-f(1-h))/h=?
limx→∞log4(3x^2+1)/log2(x^2+3)=?
2:25
limx→∞log4(3x^2+1)/log2(x^2+3)=?
2lx+1l-3lx-2l＞=1, Find all integer x
2:52
2lx+1l-3lx-2l＞=1, Find all integer x
lx^2-4xl=1 roots α,β,γ,δ, 1/α+1/β+1/γ+1/δ=?
2:41
lx^2-4xl=1 roots α,β,γ,δ, 1/α+1/β+1/γ+1/δ=?
x^2-ax+b=0 two roots α,β, x^2-(2a+3)x+b+6=0 two roots α^2,β^2, a^2+b^2=? (b＜0)
2:37
x^2-ax+b=0 two roots α,β, x^2-(2a+3)x+b+6=0 two roots α^2,β^2, a^2+b^2=? (b＜0)
AD=6√2, □ABCD=30, a+b=?
3:00
AD=6√2, □ABCD=30, a+b=?
every term of a G.P. {an} is positive real number, a1+a2+...+an=Sn, S3=9a3-a2, Σk=1to8 Sk/ak=?
3:44
every term of a G.P. {an} is positive real number, a1+a2+...+an=Sn, S3=9a3-a2, Σk=1to8 Sk/ak=?
lx-1/xl＜1 Find the range of x
4:19
lx-1/xl＜1 Find the range of x
Find the area of the region bounded by [x^2]+[y^2]=1
2:58
Find the area of the region bounded by [x^2]+[y^2]=1
x^4-6x^3+11x^2-6x＜=0
1:48
x^4-6x^3+11x^2-6x＜=0
[x]^2-4[x+1]+7＜0, find the range of x
2:16
[x]^2-4[x+1]+7＜0, find the range of x
log3f(x)+log1/3(x-1)＜=0, f(x)=-1/4x(x-7), find the range of x
2:11
log3f(x)+log1/3(x-1)＜=0, f(x)=-1/4x(x-7), find the range of x
limx→1 (x^2n+x^4-2x^2)/(x^2-1)=13 n=?
3:19
limx→1 (x^2n+x^4-2x^2)/(x^2-1)=13 n=?
x^2+y^2=5 , (1,2) tangent line, x^2+y^2+6x-4y+a=0 is also tangent to it. a=?
2:21
x^2+y^2=5 , (1,2) tangent line, x^2+y^2+6x-4y+a=0 is also tangent to it. a=?
A=√ab, B=a+b/2 Compare A,B
3:08
A=√ab, B=a+b/2 Compare A,B
(1＜=a＜=3)(a2) g(a)=l2-al/la-2l+3la-3l+l1-al g(a)=A+Ba A+B=?
2:23
(1＜=a＜=3)(a2) g(a)=l2-al/la-2l+3la-3l+l1-al g(a)=A+Ba A+B=?
Sketch y=l1-xl/lx-1l+lx-3l+lx+2l
3:04
Sketch y=l1-xl/lx-1l+lx-3l+lx+2l