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Questions in Grade College

[Jawaban] 48. Evaluate [tex]$\lim _{x \rightarrow \infty}\left(1-\frac{3}{x}\right)^x$[/tex]. A. 3 B. [tex]$r^3$[/tex] C. [tex]$e^{-3}$[/tex] D. -3 . 49. If [tex]$x=t^2+1$[/tex] and [tex]$u=t^3+2$[/tex], tind [tex]$\frac{d y}{d x}$[/tex]. A. [tex]$2 t$[/tex] B. [tex]$34 C \cdot \frac{3}{2}$[/tex] D. [tex]$\frac{4}{3}$[/tex] 50. If [tex]$y=(3 x+8)^{19}$[/tex]. obtain [tex]$y^{\prime}$[/tex] A. [tex]$(3 x+8)^{18}$[/tex] B. [tex]$27(3 x$[/tex] D. [tex]$19(3 x+8)^{18}$[/tex] 51. Find [tex]$\frac{d y}{d x}$[/tex] if [tex]$y=\cos ^2 x+\sin ^2 x$[/tex], A. [tex]$-2 \sin x \cos x$[/tex] B. 0 C. 2 cm 52. Find [tex]$\frac{d y}{d x}$[/tex] if [tex]$3+y^2=x^3-u$[/tex]. A. [tex]$\frac{3 y^2}{2 y+1}$[/tex] B. [tex]$\frac{3 x^2}{2 y-1}$[/tex] C. [tex]$\frac{x^2}{2 y^2+1}$[/tex] D. [tex]$\frac{x}{24}$[/tex] 53. Given [tex]$y(x)=3 r^{2 x}+\sin x$[/tex], find [tex]$y^{\prime \prime}(\theta)$[/tex]. A. 3 B. 12 C.GD. 54. Given [tex]$y=6 . x^{-i x}$[/tex], find [tex]$\frac{d y}{d x}$[/tex] A. [tex]$6 e^{-5 x}(1-5 x)$[/tex] B. [tex]$x^{-5 x} 16 x$[/tex] D. [tex]$\left(i e^{-5 x}(1+5 x)\right.$[/tex] 55. Find the derivative of [tex]$y=\frac{x^2-1}{2 x+1}$[/tex] at [tex]$x=0$[/tex]. A. [tex]$\frac{1}{4}$[/tex] B. [tex]$\frac{1}{3}$[/tex] 56. Find the derivative of [tex]$y=\ln \left(x^3\right)+\sin x$[/tex] A. [tex]$\frac{3}{x}$[/tex]

[Jawaban] Which is equivalent to $243^{\frac{1}{5}}$?

[Jawaban] Chipped or broken ring and pinion gears, broken spider or axle side gears, or damaged bearings can result in a ______ noise. A. Growling B. Knocking or clunking C. Squeaking or chirping D. Popping

[Jawaban] People with diabetes often receive insulin injections. What effect does insulin have on the body? A. It raises blood-sugar levels. B. It lowers blood-sugar levels. C. It raises glucagon levels. D. It lowers glucagon levels.

[Jawaban] The type of anemia in which the bone marrow is unable to produce sufficient new red cells, white cells, and platelets is Select one: A. hemolytic anemia B. sickle cell anemia C. pernicious anemia D. iron-deficiency anemia E. aplastic anemia

[Jawaban] In the game of roulette, a player can place a $4 bet on the number 13 and have a [tex]$\frac{1}{38}$[/tex] probability of winning. If the metal ball lands on 13, the player gets to keep the $4 paid to play the game and the player is awarded an additional $140. Otherwise, the player is awarded nothing and the casino takes the player's $4. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose? The expected value is $ [ ] (Round to the nearest cent as needed.)

[Jawaban] Which of the following best represents a simple food chain? A. Producer → secondary consumer → primary consumer B. Producer → primary consumer→ secondary consumer C. Primary consumer → secondary consumer → producer D. Secondary consumer → primary consumer → producer

[Jawaban] List ways that the government assists in eating healthy.

[Jawaban] Who generally has higher bone mineral density at an older age, men or women?

[Jawaban] Evaluate the following integral: [tex]$\int 3 \sqrt{x} dx$[/tex]