\(f(x) = x^{3} - \frac{1}{x^{4}} + 2\)
\(f(x) = x^{3} + \frac{1}{x^{4}} + 2\)
\(f(x) = x^{3} - \frac{1}{x^{4}} - 2 \)
\(f(x) = x^{3} + \frac{1}{x^{4}} - 2\)
Correct answer is B
\(\frac{\mathrm d y}{\mathrm d x} = 3x^{2} - \frac{4}{x^5} = 3x^{2} - 4x^{-5}\)
\(y = \int (3x^{2} - 4x^{-5}) \mathrm {d} x \)
\(y = x^{3} + \frac{1}{x^{4}} + c\)
f(1) = 4; \(4 = 1^{3} + \frac{1}{1^{4}} + c \implies 4 = 2 + c\)
\(c = 2\)
\(f(x) = x^{3} + \frac{1}{x^{4}} + 2\)
Consider the following statements: p: Birds fly q: The sky is blue r: The grass is green W...
Consider the statements: x: The school bus arrived late y: The student walked down to school Whic...
If \(f(x) = 3x^{3} + 8x^{2} + 6x + k\) and \(f(2) = 1\), find the value of k....
Evaluate \(\begin{pmatrix} 2 & 3 \\ 4 & 1 \end{pmatrix} \begin{pmatrix} 2 \\ 3 \end{pmatrix}...
The function \(f : F \to R\) = \(f(x) = \begin{cases} 3x + 2 : x > 4 \\ 3x - 2 : x = 4 \\ ...
If Un = kn\(^2\) + pn, U\(_1\) = -1, U\(_5\) = 15, find the values of k and p....