Questions | Réponses | % Correct |
---|---|---|
sin(x) ∼ | x | 67%
|
x^(1/2) | 1/(2x^(1/2)) | 56%
|
1/x | -1/x^2 | 56%
|
cos(-x) = | cos(x) | 56%
|
sin(-x) = | -sin(x) | 56%
|
1/x^2 | -1/x | 44%
|
exp(x) = | 1+x+(x^2/2!)+(x^3/3!)+○(x^3) | 44%
|
cos(a+b) = | cos(a)cos(b)-sin(a)sin(b) | 44%
|
cos(a-b) = | cos(a)cos(b)+sin(a)sin(b) | 44%
|
sin(π/2+x) = | cos(x) | 44%
|
cos(π-x) = | -cos(x) | 44%
|
x^n | nx^n-1 | 44%
|
sin(π-x) = | sin(x) | 44%
|
cos(π/2-x) = | sin(x) | 44%
|
tan(x) ∼ | x | 44%
|
1-cos(x) ∼ | x^2/2 | 44%
|
x^n | x^(n+1)/(n+1) | 44%
|
lim sin(x)/x = | 1 | 33%
|
lim exp(x)-1/x = | 1 | 33%
|
lim ln(1+x)/x = | 1 | 33%
|
lim 1-cos(x)/x^2 = | 1/2 | 33%
|
exp(-a) = | 1/exp(a) | 33%
|
cos(x) = | 1-(x^2/2!)+○(x^3) | 33%
|
1/(1+x) = | 1-x+x^2-x^3+○(x^3) | 33%
|
1/(1-x) = | 1+x+x^2+x^3+○(x^3) | 33%
|
1/x^(1/2) | 2(x^(1/2)) | 33%
|
͞z = | a-ib | 33%
|
cos(π+x) = | -cos(x) | 33%
|
sin(x) | cos(x) | 33%
|
exp(a)exp(b) = | exp(a+b) | 33%
|
exp(a)/exp(b) = | exp(a-b) | 33%
|
ln(1/a) = | -ln(a) | 33%
|
ln(a/b) = | ln(a)-ln(b) | 33%
|
ln(ab) = | ln(a)+ln(b) | 33%
|
ln(a^n) = | nln(a) | 33%
|
sin(π+x) = | -sin(x) | 33%
|
cos(x) | -sin(x) | 33%
|
tan(π+x) = | tan(x) | 33%
|
tan(-x) = | -tan(x) | 33%
|
ln(1+x) ∼ | x | 33%
|
exp(x) ∼ | x | 33%
|
ln(1+x) = | x-(x^2/2)+(x^3/3)+○(x^3) | 33%
|
sin (x) = | x-(x^3/3!)+○(x^3) | 33%
|
a0(f) = | 1/T∫f(t)dt | 22%
|
ln(x) | 1/x | 22%
|
ch(x) = | 1+(x^2/2!)+○(x^3) | 22%
|
ax+by+c=0 | 22%
| |
exp(iϴ) = | cos(ϴ)+isin(ϴ) | 22%
|
sin(x) | -cos(x) | 22%
|
exp(a)^n = | exp(na) | 22%
|
exp(x) | exp(x) | 22%
|
Σ k = | n(n+1)/2 | 22%
|
cos(x) | sin(x) | 22%
|
sh(x) = | x+(x^^3/3!)+○(x^3) | 22%
|
u·v = | 0 | 11%
|
bn(f) = | 0 | 11%
|
an(f) = | 0 | 11%
|
a0(f) = | 0 | 11%
|
det(u;v) = | 0 | 11%
|
det(u,u) = | 0 | 11%
|
(n;0) = | 1 | 11%
|
th(x) | 1/ch^2(x) | 11%
|
tan(x) | 1/cos^2(x) | 11%
|
Σ q^k = | 1-q^(n+1)/1-q | 11%
|
1-sin^2(a) | 11%
| |
tan(x) | 1+tan^2(x) | 11%
|
th(x) | 1-th^2(x) | 11%
|
an(f) = | 2/T∫f(t)cos(nωt)dt | 11%
|
a0(f) = | 2/T∫f(t)dt | 11%
|
bn(f) = | 2/T∫f(t)sin(nωt)dt | 11%
|
an(f) = | 4/T∫f(t)cos(nωt)dt | 11%
|
bn(f) = | 4/T∫f(t)sin(nωt)dt | 11%
|
͞zz = | a^2+b^2 | 11%
|
|z| = | (a^2+b^2)^(1/2) | 11%
|
ax+by+cz+d=0 | 11%
| |
sh(x) | ch(x) | 11%
|
cos(2a) = | cos^2(a)-sin^2(a) | 11%
|
(cos(ϴ)+isin(ϴ))^n = | cos(nϴ)+isin(nϴ) | 11%
|
det(v,u) = | -det(u,v) | 11%
|
det(λu+μv,w) = | λdet(u,w)+μdet(v,w) | 11%
|
cos(ϴ) = | (exp(iϴ)+exp(-iϴ))/2 | 11%
|
sin(ϴ) = | (exp(iϴ)-exp(-iϴ))/2i | 11%
|
ch(x) = | (exp(x)+exp(-x))/2 | 11%
|
sh(x) = | (exp(x)-exp(-x))/2 | 11%
|
Si f(-x) = -f(x) alors f est | impaire | 11%
|
1/x | ln(x) | 11%
|
(n;1) = | n | 11%
|
Σ q^k = | n+1 | 11%
|
(n;p)+(n;p+1) = | (n+1;p+1) | 11%
|
Si f(-x) = f(x) alors f est | paire | 11%
|
z+͞z/2 = | Re(z) | 11%
|
ch(x) | sh(x) | 11%
|
th(x) = | sh(x)/ch(x) | 11%
|
sin(a+b) = | sin(a)cos(b)+sin(b)cos(a) | 11%
|
sin(a-b) = | sin(a)cos(b)-sin(b)cos(a) | 11%
|
tan(a-b) = | (tan(a)-tan(b))/1+tan(a)tan(b) | 11%
|
tan(a+b) = | (tan(a)+tan(b))/1-tan(a)tan(b) | 11%
|
[u,v,w] = | (u∧v)·w | 11%
|
(1+x)^α ∼ | αx | 11%
|
(x-xΩ)^2+(y-yΩ)^2=R^2 | 11%
| |
tan(x) = | x+(x^3/3)+○(x^3) | 11%
|
x=xa+αt | 11%
| |
u·v = | xx'+yy' | 11%
|
det(u,v) = | xy'+x'y | 11%
|
y=ya+βt | 11%
| |
arctan(x) | 1/(1+x^2) | 0%
|
arcsin(x) | 1/(1-x^2)^(1/2) | 0%
|
arccos(x) | -1/(1-x^2)^(1/2) | 0%
|
(1+x)^α = | 1+αx+((α(α-1)x^2)/2!)+((α(α-1)(α-2)x^3/3!)○(x^3) | 0%
|
2cos^2(a)-1 | 0%
| |
sin(2a) = | 2sin(a)cos(a) | 0%
|
tan(2a) = | 2tan(a)/(1-tan²(a)) | 0%
|
1/(1-x^2)^(1/2) | arcsin(x) | 0%
|
1/(1+x^2) | arctan(x) | 0%
|
ax+by+cz+d=0 | 0%
| |
a'x+b'y+c'z+d'=0 | 0%
| |
sh(x) | ch(x) | 0%
|
λexp(r1x)+μexp(r2x) | 0%
| |
λexp(r1x)+μexp(r2x) | 0%
| |
exp(x) | exp(x) | 0%
|
exp(αx)(λcos(βx)+μsin(βx)) | 0%
| |
th(x) | ln|ch(x)| | 0%
|
tan(x) | -ln|cos(x)| | 0%
|
(n;0) = | (n;n) | 0%
|
(n;1) = | (n;n-1) | 0%
|
(n;p) = | (n;n-p) | 0%
|
ch(x) | sh(x) | 0%
|
1+tan^2(x) | tan(x) | 0%
|
1/cos^2(x) | tan(x) | 0%
|
1-th²(x) | th(x) | 0%
|
1/ch²(x) | th(x) | 0%
|
(λx+μ)exp(r0x) | 0%
| |
(λx+μ)exp(r0x) | 0%
| |
(x-xΩ)^2+(y-yΩ)^2+(z-zΩ)^2=R^2 | 0%
| |
x=xa+αt | 0%
| |
x=xa+αt+α's | 0%
| |
y=ya+βt | 0%
| |
y=ya+βt+β's | 0%
| |
z=za+γt | 0%
| |
z=za+γt+γ's | 0%
|
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