Inverse D-operator (part 1)

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which inverse D-operator formula is used to compute $\frac{1}{D^2}\left(5\right)$ ?

$\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(0\right)}\cdot k$

$\frac{1}{D}\left[f\left(x\right)\right]=\int f\left(x\right)\ dx$

$\frac{1}{F\left(D\right)}\left[e^{kx}\right]=\frac{1}{F\left(k\right)}\cdot e^{kx}$

$\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(k\right)}\cdot k$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which inverse D-operator formula is used to compute $\frac{1}{D^2-1}\left(5\right)$ ?

$\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(0\right)}\cdot k$

$\frac{1}{D}\left[f\left(x\right)\right]=\int f\left(x\right)\ dx$

$\frac{1}{F\left(D\right)}\left[e^{kx}\right]=\frac{1}{F\left(k\right)}\cdot e^{kx}$

$\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(k\right)}\cdot k$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean by the formula $\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(0\right)}\cdot k$ ?

replace all D by 0

replace all k by 0

replace all D by k

multiply F by 0

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Which inverse D-operator formula is used to compute $\frac{1}{D^2-1}\left(e^{2x}\right)$ ?

$\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(0\right)}\cdot k$

$\frac{1}{F\left(D\right)}\left[e^{kx}V\left(x\right)\right]=e^{kx}\cdot\frac{1}{F\left(D+k\right)}\left[V\left(x\right)\right]$

$\frac{1}{F\left(D\right)}\left[e^{kx}\right]=\frac{1}{F\left(k\right)}\cdot e^{kx}$

$\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(k\right)}\cdot k$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean by the formula $\frac{1}{F\left(D\right)}\left[e^{kx}\right]=\frac{1}{F\left(k\right)}\cdot e^{kx}$ ?

replace all D by 0

replace all k by 0

replace all D by k

multiply all D by k

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which inverse D-operator formula is used to compute $\frac{1}{D^2-1}\left(e^x\right)$ ?

$\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(0\right)}\cdot k$

$\frac{1}{F\left(D\right)}\left[e^{kx}V\left(x\right)\right]=e^{kx}\cdot\frac{1}{F\left(D+k\right)}\left[V\left(x\right)\right]$

$\frac{1}{F\left(D\right)}\left[e^{kx}\right]=\frac{1}{F\left(k\right)}\cdot e^{kx}$

$\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(k\right)}\cdot k$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean by the formula $\frac{1}{F\left(D\right)}\left[e^{kx}\ V\left(x\right)\right]=e^{kx}\cdot\frac{1}{F\left(D+k\right)}\left[V\left(x\right)\right]$ ?

put $e^{kx}$ outside the operator and replace all D by (D+k)

replace all D by (D+k)

put $e^{kx}$ outside the operator and add $F\left(D\right)$ by k

replace $F\left(D\right)$ by k

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which inverse D-operator formula is used to compute $\frac{1}{D^2-1}\left(\sin x\right)$ ?

$\frac{1}{F\left(D\right)}\left(\sin x\right)=\frac{1}{F\left(0\right)}\cdot\sin x$

$\frac{1}{F\left(D^2\right)}\left[\sin kx\right]=\frac{1}{F\left(-k^2\right)}\cdot\sin kx$

$\frac{1}{D^2+k^2}\left[\sin kx\right]=-\frac{x\ \cos kx}{2k}$

$\frac{1}{F\left(D\right)}\left(\sin kx\right)=\frac{1}{F\left(k\right)}\cdot\sin kx$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean by the formula $\frac{1}{F\left(D^2\right)}\left[\sin kx\right]=\frac{1}{F\left(-k^2\right)}\cdot\sin kx$ ?

replace all D by $-k^2$

replace all D by $-k$

replace all $D^2$ by $-k^2$

replace all $D^2$ by $k^2$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which inverse D-operator formula is used to compute $\frac{1}{D^2+1}\left(\sin x\right)$ ?

$\frac{1}{F\left(D\right)}\left(\sin x\right)=\frac{1}{F\left(0\right)}\cdot\sin x$

$\frac{1}{F\left(D^2\right)}\left[\sin kx\right]=\frac{1}{F\left(-k^2\right)}\cdot\sin kx$

$\frac{1}{D^2+k^2}\left[\sin kx\right]=-\frac{x\ \cos kx}{2k}$

$\frac{1}{F\left(D\right)}\left(\sin kx\right)=\frac{1}{F\left(k\right)}\cdot\sin kx$

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Inverse D-operator (part 1)

Which inverse D-operator formula is used to compute 1D2(5)\frac{1}{D^2}\left(5\right)D21​(5) ?

Which inverse D-operator formula is used to compute 1D2−1(5)\frac{1}{D^2-1}\left(5\right)D2−11​(5) ?

What does it mean by the formula 1F(D)(k)=1F(0)⋅k\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(0\right)}\cdot kF(D)1​(k)=F(0)1​⋅k ?

Which inverse D-operator formula is used to compute 1D2−1(e2x)\frac{1}{D^2-1}\left(e^{2x}\right)D2−11​(e2x) ?

What does it mean by the formula 1F(D)[ekx]=1F(k)⋅ekx\frac{1}{F\left(D\right)}\left[e^{kx}\right]=\frac{1}{F\left(k\right)}\cdot e^{kx}F(D)1​[ekx]=F(k)1​⋅ekx ?

Which inverse D-operator formula is used to compute 1D2−1(ex)\frac{1}{D^2-1}\left(e^x\right)D2−11​(ex) ?

What does it mean by the formula 1F(D)[ekx V(x)]=ekx⋅1F(D+k)[V(x)]\frac{1}{F\left(D\right)}\left[e^{kx}\ V\left(x\right)\right]=e^{kx}\cdot\frac{1}{F\left(D+k\right)}\left[V\left(x\right)\right]F(D)1​[ekx V(x)]=ekx⋅F(D+k)1​[V(x)] ?

Which inverse D-operator formula is used to compute 1D2−1(sin⁡x)\frac{1}{D^2-1}\left(\sin x\right)D2−11​(sinx) ?

What does it mean by the formula 1F(D2)[sin⁡kx]=1F(−k2)⋅sin⁡kx\frac{1}{F\left(D^2\right)}\left[\sin kx\right]=\frac{1}{F\left(-k^2\right)}\cdot\sin kxF(D2)1​[sinkx]=F(−k2)1​⋅sinkx ?

Which inverse D-operator formula is used to compute 1D2+1(sin⁡x)\frac{1}{D^2+1}\left(\sin x\right)D2+11​(sinx) ?

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Which inverse D-operator formula is used to compute $\frac{1}{D^2}\left(5\right)$ ?

Which inverse D-operator formula is used to compute $\frac{1}{D^2-1}\left(5\right)$ ?

What does it mean by the formula $\frac{1}{F\left(D\right)}\left(k\right)=\frac{1}{F\left(0\right)}\cdot k$ ?

Which inverse D-operator formula is used to compute $\frac{1}{D^2-1}\left(e^{2x}\right)$ ?

What does it mean by the formula $\frac{1}{F\left(D\right)}\left[e^{kx}\right]=\frac{1}{F\left(k\right)}\cdot e^{kx}$ ?

Which inverse D-operator formula is used to compute $\frac{1}{D^2-1}\left(e^x\right)$ ?

What does it mean by the formula $\frac{1}{F\left(D\right)}\left[e^{kx}\ V\left(x\right)\right]=e^{kx}\cdot\frac{1}{F\left(D+k\right)}\left[V\left(x\right)\right]$ ?

Which inverse D-operator formula is used to compute $\frac{1}{D^2-1}\left(\sin x\right)$ ?

What does it mean by the formula $\frac{1}{F\left(D^2\right)}\left[\sin kx\right]=\frac{1}{F\left(-k^2\right)}\cdot\sin kx$ ?

Which inverse D-operator formula is used to compute $\frac{1}{D^2+1}\left(\sin x\right)$ ?