Determina expresau a. \( \int 8 x\left(4 x^{2}-3\right) \) b. \( \int 2 t^{-3}\left(4 t^{-2}\right)^{-} \) c. \( \int_{1}^{3}\left(8 x-2 x^{2}\right) \)

\( \left\{\begin{array}{l}f(x)=x^{2}-1 \\a=1 \\\lim _{h \rightarrow 0} (\frac{f(a+h-f(a)}{h}\end{array}\right. \)

1) si \( \left(x^{2}+y^{2}\right)^{2}+3 x y-y^{2}=0 \quad \) halle \( \frac{d y}{d x} \left\lvert\,\left(\frac{1}{2},-\frac{1}{2}\right)\right. \)

implications. 10. Deseribe how vector calculas is utilized in electromagnetiom, specif- eally in calculating electric flelds.

\( y = ( 4 x ^ { 2 } - 2 x + 6 ) ( x ^ { 2 } + 6 x - 3 ) \quad y ^ { \prime } = \)

\( x^{3}-x-4=0 \) in the interval. (1,2) in 10 iterations.