Maclaurin series: check 1
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=e^{4 x} \cos{\left(3 x \right)}\). Write \(f(x)=1+Ax+Bx^2+Cx^3+O(x^4)\).
Find A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Maclaurin series: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=e^{x} \cos{\left(x \right)}\). Write \(f(x)=1+Ax+Bx^2+Cx^3+O(x^4)\).
Find A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Maclaurin series: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=e^{x} \cos{\left(x \right)}\). Write \(f(x)=1+Ax+Bx^2+Cx^3+O(x^4)\).
Find B.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Maclaurin series: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=e^{4 x} \cos{\left(x \right)}\). Write \(f(x)=1+Ax+Bx^2+Cx^3+O(x^4)\).
Find B.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Maclaurin series: check 3
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=e^{2 x} \cos{\left(2 x \right)}\). Write \(f(x)=1+Ax+Bx^2+Cx^3+O(x^4)\).
Find C.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Maclaurin series: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=e^{3 x} \cos{\left(3 x \right)}\). Write \(f(x)=1+Ax+Bx^2+Cx^3+O(x^4)\).
Find C.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Maclaurin series: check 4
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=e^{3 x} \cos{\left(3 x \right)}\). Write \(f(x)=1+Ax+Bx^2+Cx^3+O(x^4)\).
Use the cubic polynomial to approximate f(\frac{3}{50}).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Maclaurin series: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
Let \(f(x)=e^{4 x} \cos{\left(x \right)}\). Write \(f(x)=1+Ax+Bx^2+Cx^3+O(x^4)\).
Use the cubic polynomial to approximate f(\frac{1}{50}).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.