Bantuan Tugas Matematika

7.) \( \lim _{x \rightarrow \infty}(2 x-7)-\sqrt{4 x}+8 x-21=\ldots \) 8.) \( \lim _{x \rightarrow \infty} \frac{\sqrt{2 x^{2}+2 x-3}-\sqrt{2 x^{2}-2 x-3}}{2} \)

Hitung integral $\int _{2\pi }^{3\pi }3cos^{2}xsinxdx$

Consider the curve given by the equation $x^{3}+xy=-2$ It can be shown that $\frac {dy}{dx}=\frac {-3x^{2}-y}{x}$ Find the point on the curve where the line tangent to the curve is horizontal. d $\square $

Diketahui $f(x)=5x+1$ dan $g(x)=3-2x.f(g(x)$ adalah: $f(g(x)=-x+10$ $f(g(x)=5x+5$ $f(g(x)=-10x+1$ $f(g(x)=-10x+16$ $f(g(x)=2x+1$

Let $g(x)=x^{3}+1$ The absolute minimum value of g over the closed interval $-2\leqslant x\leqslant 3$ occurs at what $x$ value? Choose 1 answer: A B $-7$ C 3 D $-2$

Let $f(x)=-3x^{4}-8x^{3}-6x^{2}+1$ What is the absolute maximum value of f ? Choose 1 , answer: A 1 A B ) 0 C 10 D f has no maximum value

3. Dibe rika kan ru as garis yang tert entu k da ri titik $(0,0)\rightarrow (1,1)\rightarrow (2,1)$ a. Lukislal lin si para meter untuk lin tasan C. b. Tentukan $\int x^{2}+ydA$ pada lintasan C.

$PV\quad Tahun\quad 2=Rp.\quad 300.000.000/(1+$ $0,10)^{\wedge }2=Rp.385.694.608$

10. Jika $x^{2}y^{2}-2=14,\frac {1}{4}x=0,125,\frac {z}{x}=2y$ dengan $x,y,z\gt 0$ maka nilai $x+y+z=\ldots $ A. 12,5 B. 15 C. 15,5 D. 16,5 E. 17

Tentukan turunar I dari $y=(2x^{2}-4x+1)^{60}$ $y=57(2x^{2}-4x+$ $y=56(2x^{2}-4x+$ $y=61(2x^{2}-4x+$ $y=59(2x^{2}-4x+$ $y=60(2x^{2}-4x+$