Find the area bounded by the graphs of the indicated equations over the given interval. \( y=-x^{2}+10 ; y=0 ;-3 \leq x \leq 3 \) The area is \( \square \) square units.

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

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

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

\( f ( x ) = 4 x ^ { 3 } - 3 x ^ { 2 } - x - 1 , x = - 1 \)

4. Let \( g \) be a function such that \( g(1)=3 \) and whose derivative is \( g^{\prime}(x)=6 \cos (2 \pi x)+3 \). Solve analytically a. Use a linear approximation to estimate the value of \( g(1.2) \). b. Find the solution to the differential equation \( d g=(6 \cos (2 \pi x)+3) d x \)