Assinale a alternativa que apresenta corretamente, o valor numérico da integral dupla \( \int_{0}^{4} \int_{0}^{\text {a }} x y^{3} d x d y \) Escolha uma opçùo: a. 2040 . b. 2048 . c. 240 . d. 2046 . e. 256

5. Given \( h(x)=\int_{0}^{4 x} \sqrt{t-2} d t \), evaluate the following analytically. \( \begin{array}{ll}\text { a. Determine when } h(x)=\frac{16}{3} & \text { b. Determine when } h^{\prime}(x)=8\end{array} \)

Jika \( m \) dan \( n \) adalah bilangan negatif dan berlaku \( \lim _{x \rightarrow n} \frac{4-\sqrt{m(x+n)}}{n-x}=n \), maka nilai dari \( m-n=\cdots \) (A) -9 (B) -7 (C) -5 (D) 7 (E) 9

Find equations of the tangent line and normal line to \( x^{2}+4 x y+y^{2}=13,(2,1) \)

\( \lim _ { z - 1 } \frac { 4 z + 3 } { 2 z + 1 } \)

Given the differential equation \( \frac{dy}{dx} = 3y \) and the initial condition \( y(0) = 2 \), find the particular solution.