Mathe 2

Question 1 of 11

1

Wie wird die partielle Integration richtig durchgeführt?

Select one of the following:

∫ ( f(x) * g'(x) ) dx = f(x) * g(x) - ∫ ( f'(x) * g(x) ) dx
∫ ( f(x) * g'(x) ) dx = f(x) * g(x) + ∫ ( f'(x) * g(x) ) dx
∫ ( f(x) * g'(x) ) dx = f(x) * g(x) - ∫ ( f(x) * g(x) ) dx
∫ ( f(x) * g(x) ) dx = f(x) * g(x) - ∫ ( f'(x) * g(x) ) dx

Explanation

Question 2 of 11

1

Wie lautet die Formel zur Berechnung von ak?

Select one of the following:

ak = (π / 2) (-π)∫(π) ( f(x) * cos(k*x ) ) dx
ak = (1 / π) (-e)∫(π) ( f(x) * cos(k*x ) ) dx
ak = (1 / π) (-π)∫(π) ( f(x) * cos(k*x ) ) dx
ak = (1 / π) (-π)∫(π) ( f(x) * sin(k*x ) ) dx

Explanation

Question 3 of 11

1

Wie lautet die Formel zur Berechnung von bk?

Select one of the following:

bk = (1 / π) (-π)∫(π) ( f(x) * sin(e*x ) ) dx
bk = (1 / π) (-π)∫(π) ( f(x) * sin(k*x ) ) dx
bk = (π / 2) (-π)∫(π) ( f(x) * sin(k*x ) ) dx
bk = (1 / π) (-π)∫(π) ( -f(x) * -sin(k*x ) ) dx

Explanation

Question 4 of 11

1

Die Formel von a0 lautet wie folgt: ak = (1 / π❌

Drag and drop to complete the text.

) (-π)∫(π) ( f(x) * cos(k*x) ) dx

) (-π)∫(-π) ( -f(x) ) dx

) (-π)∫(π) ( -f(x) ) dx

) (-π)∫(π) ( f(x) ) dx

Explanation

Question 5 of 11

1

Wie lautet die Formel für die Fourieranalyse?

Select one of the following:

f(x) = (a0 / 2) + (∞)∑ (k=1) ( (ak * cos(k*x) + bk *sin(k*x) )
f(x) = (a0 / 2) + (∞)∑ (k=1) ( (bk * cos(k*x) + ak *sin(k*x) )
f(x) = (a0 / 2) + (∞)∑ (k=1) ( (ak * sin(k*x) + bk *sin(k*x) )
f(x) = (a0 / 2) - (∞)∑ (k=1) ( (ak * cos(k*x) - bk *sin(k*x) )

Explanation

Question 6 of 11

1

Wie lautet die summierte Rechtecksformel?

Select one of the following:

∫ ( f(x) ) dx = (( b - a ) / n ) * f(x0) + ... + (( b - a ) / n ) * f(xn-1)
∫ ( f(x) ) dx = (( b - a ) / n ) * f(x0) + ... + (( a - b ) / n ) * f(xn-1)
∫ ( f(x) ) dx = (( b - a ) / n ) * f(x0) + ... + (( b - a ) / n ) * f(xn)
∫ ( f(x) ) dx = (( b - a ) / b ) * f(x0) + ... + (( b - a ) / n ) * f(xn-1)

Explanation

Question 7 of 11

1

Wie lautet die Trapezformel?

Select one of the following:

∫ ( f(x) ) dx = ( b - a ) * (( f(a) + f(b) ) / 2 )
∫ ( f(x) ) dx = ( a - b ) * (( f(a) + f(b) ) / 2 )
∫ ( f(x) ) dx = ( b - a ) * (( f(a) + f(b) ) / 4 )
∫ ( f(x) ) dx = ( b - a ) * (( f(n) + f(a) ) / 2 )

Explanation

Question 8 of 11

1

Wie lautet die Simpsonregel ? (Summierte Kepplersche Fassregel?)

Select one of the following:

∫ ( f(x) ) dx = (( b - a ) / (6*n)) * ( f(x0) + 4 * f(x1) + 2 * f(x2) + 4 * f(x3) + ... + 2 * f(x2n-2) + 4 * f(x2n-1) + f(x2n) )
∫ ( f(x) ) dx = (( a - b ) / (6*n)) * ( f(x0) + 4 * f(x1) + 2 * f(x2) + 4 * f(x3) + ... + 2 * f(x2n-2) + 4 * f(x2n-1) + f(x2n) )
∫ ( f(x) ) dx = (( b - a ) / (2*n)) * ( f(x0) + 4 * f(x1) + 2 * f(x2) + 4 * f(x3) + ... + 2 * f(x2n-2) + 4 * f(x2n-1) + f(x2n) )
∫ ( f(x) ) dx = (( b - a ) / (6*n)) * ( f(x0) + 4 * f(x1) + 2 * f(x2) + 4 * f(x3) + ... + 2 * f(xn-2) + 4 * f(xn-1) + f(xn) )

Explanation

Question 9 of 11

1

Wie berechnet sich die Bogenlänge von Kurven?

Select one of the following:

L = √( ( f(b) + f(a) )² + ( g(b) + g(a) )² )
L = √( ( f(b) - f(a) )² - ( g(b) - g(a) )² )
L = √( ( f(b) - f(b) )² + ( g(a) - g(a) )² )
L = √( ( f(b) - f(a) )² + ( g(b) - g(a) )² )

Explanation

Question 10 of 11

1

Wie berechnet man den nächsten Schritt im De Casteljau Algorithmus?

Select one of the following:

( 1 - t ) * P0 + t * P1
( 1 - t ) * P1 - t * P0
t * P0 + (1 - t ) * P1
t * P0 + t * P1

Explanation

Question 11 of 11

1

Wie funktioniert das Newton-Verfahren?

Select one of the following:

g(x) = x * (f(x)/f'(x))
g(x) = x / (f(x)/f'(x))
g(x) = x + (f(x)/f'(x))
g(x) = x * (F(x)/f'(x))

	Created by India Rose almost 7 years ago

Bachelor Mathe Quiz on Mathe 2, created by India Rose on 23/06/2017.

Question 1 of 11

Wie wird die partielle Integration richtig durchgeführt?

Select one of the following:

Explanation

Question 2 of 11

Wie lautet die Formel zur Berechnung von ak?

Select one of the following:

Explanation

Question 3 of 11

Wie lautet die Formel zur Berechnung von bk?

Select one of the following:

Explanation

Question 4 of 11

Die Formel von a0 lautet wie folgt: ak = (1 / π❌

Drag and drop to complete the text.

Explanation

Question 5 of 11

Wie lautet die Formel für die Fourieranalyse?

Select one of the following:

Explanation

Question 6 of 11

Wie lautet die summierte Rechtecksformel?

Select one of the following:

Explanation

Question 7 of 11

Wie lautet die Trapezformel?

Select one of the following:

Explanation

Question 8 of 11

Wie lautet die Simpsonregel ? (Summierte Kepplersche Fassregel?)

Select one of the following:

Explanation

Question 9 of 11

Wie berechnet sich die Bogenlänge von Kurven?

Select one of the following:

Explanation

Question 10 of 11

Wie berechnet man den nächsten Schritt im De Casteljau Algorithmus?

Select one of the following:

Explanation

Question 11 of 11

Wie funktioniert das Newton-Verfahren?

Select one of the following:

Explanation