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Questions in Grade College

[Jawaban] Jacob helps paint a square mural in his classroom. Then he helps paint a mural in the hallway whose length is 6 feet longer and whose width is 2 feet shorter. Let [tex]$x$[/tex] represent the side length of the mural in Jacob's classroom. Write an expression that represents the two binomials you would multiply to find the area of the hallway mural. Use that expression to find the area of the hallway mural if each side of the classroom mural is 8 feet long. A. [tex]$(x-6)(x+2) ; 20$[/tex] square feet B. [tex]$(x+6)(x+2) ; 140$[/tex] square feet C. [tex]$(x-6)(x-2) ; 12$[/tex] square feet D. [tex]$(x+6)(x-2) ; 84$[/tex] square feet

[Jawaban] $5 \frac{2}{7}+4 \frac{2}{3}$

[Jawaban] \frac{7}{8}-\frac{1}{2}=

[Jawaban] Find the sum of 11, 15, and 22.

[Jawaban] The following are true regarding MEC testing, EXCEPT: a. Only product-specific test strips should be used. b. A log of test results should be maintained. c. The frequency of MEC testing is determined by the HLD manufacturer instructions. d. Can be used to prolong the HLD reuse life.

[Jawaban] In 1757, Haydn became music director for ________, writing music for and directing a private orchestra. A. Count Radbot B. the Duke of Canterbury C. Count Morzin D. Albert the Wise E. All of the above F. None of the above

[Jawaban] 62. If $y(t)=3 t^3+2 t^2-7 t+3$, find $\frac{d y}{d t}$ at $t=-1$. A. -1 B. 1 C. -2 D. 2 . 63. If $y^2+x y-x=0$, find $\frac{d y}{d x}$ at $(0,2)$. A. $\frac{1}{2}$ B. $\frac{2}{3}$ C. $\frac{1}{3}$ D. $-\frac{1}{4}$. 64. Find value of $y^{\prime}$ if $x=3 t, y=t^2-4$ at $t=3$. A. 2 B. $\frac{1}{2}$ C. -4 D. -2 . 65. If $f(x)=\frac{x+1}{x^3-1}, x \neq 1$, find $f^{\prime}(0)$. A. 2 B. 3 C. -2 D. -1 . 66. If $f(x)=\left(3+e^x\right)^2$. Then $f^{\prime \prime}(0)$. A. 10 B. -10 C. -12 D. 12. 67. Find $y^{\prime}$ if $y=\left(\frac{x-1}{x+1}\right)^2$ at $x=0$. A. 0 B. -2 C. -3 D. -4 . 68. The derivative $\frac{d y}{d x}$ of $x^2-x y=0$ at $(1,0)$ is .. A. $\frac{1}{2}$ B. 2 C. $\frac{1}{3}$ D. 3. 69. If $V=t^3+5 t$. Find $\dot{V}$ at $t=0$. A. -5 B. 0 C. 5 D. 3. 70. Find the derivative of $x^2+y^2=5$. A. $\frac{x}{y}$ B. $-\frac{x}{y}$ C. $\frac{2}{x}$ D. $-\frac{y}{x}$. 71. The derivative of $y=x \ln x$ at $x= e$ is A. 0 B. 1 C. 2 D. 3. 72. Find $\frac{d y}{d x}$ if $y=\cos 2 t$ and $x=\sin 2 t$. A. $-\cot 2 t$ B. $-\tan 2 t$ C. $-2 \tan 2 t$ D. $2 \cot 2 t$. 73. Find $y^{\prime \prime}(0)$ if $y=3 e^{2 x}+\sin x$. A. 3 B. -12 C. -3 D. 12 . 74. Find $d y$ if $3 x^3+4 y^3=9$ A. $-\frac{3 x^2}{4 y^2} d x$ B. $-\frac{4 x^3}{3 y^3} d x$ C. $\frac{3 x^2}{1 y^2} d x$ D. $-\frac{9 x^2}{x^2}$. $9 x^2$.

[Jawaban] Solve the equation [tex]$\frac{6}{x-2}-\frac{6}{x+1}=1$[/tex]. Show clear algebraic working.

[Jawaban] Find the slope for each equation. $y=2 x+3$

[Jawaban] \begin{tabular}{|c|c|} \hline$x$ & $y$ \\ \hline-1 & -3 \\ \hline 0 & -3 \\ \hline 3 & 33 \\ \hline \end{tabular} Find a quadratic function to model the values in the table.