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Assessment: (5 points each item) 5. Show that the \( \lim _{x \rightarrow e} \ln x=1 \). 6. Show that the \( \lim _{x \rightarrow 0}\left(\frac{\sin t}{t} * \frac{1-\cos t}{t}\right) \)
Calculus Jan 20, 2025
11. Matching Type: Balance the given equations in Column I, then choose the letter under Column 2 that corresponds to the sum of the coefficients of each balanced equation. Identify the type of chemical reaction by choosing the letter under Column 3.(15 points) Example: 1-2. \( 2 \mathrm{H}_{2}+\mathrm{O}_{2} \rightarrow \mathbf{2} \mathrm{H}_{2} \mathrm{O} \) \( 2+1+2=5 \) A. 3 B. 4 C. 5 D. 6 Synthesis Answers: \( \begin{array}{l} \text { 1. } \mathrm{C} \text { (2 points) } \\ \text { 2. A (1 point) } \\ \text { Column } 1\end{array} \) \( \begin{array}{l} \text { 1. } \mathrm{C} \text { (2 points) } \\ \text { 2. A (1 point) } \\ \text { Column } 1\end{array} \) \( \begin{array}{l} \text { 1. } \mathrm{C} \text { (2 points) } \\ \text { 2. A (1 point) } \\ \text { Column } 1\end{array} \) \( \begin{array}{l} \text { 1. } \mathrm{C} \text { (2 points) } \\ \text { 2. A (1 point) } \\ \text { Column } 1\end{array} \) 22-23. \( \mathrm{MnO}_{2}+\mathrm{HCl} \rightarrow \mathrm{MnCl}_{2}+\mathrm{Cl}_{2}+\mathrm{H}_{2} \mathrm{O} \) 24-25. \( \mathrm{Fe}_{2} \mathrm{O}_{3}+\mathrm{HCl} \rightarrow \mathrm{FeCl}_{3}+\mathrm{H}_{2} \mathrm{O} \) \( 26-27 . \mathrm{Na}_{2} \mathrm{~S}_{2} \mathrm{O}_{3}+\mathrm{I}_{2} \rightarrow \mathrm{Nal}+\mathrm{Na}_{2} \mathrm{~S}_{4} \mathrm{O}_{6} \) \[ 28-29 . \mathrm{Na}+\mathrm{KNO}_{3} \rightarrow \mathrm{~K}_{2} \mathrm{O}+\mathrm{Na}_{2} \mathrm{O}+\mathrm{N}_{2} \] Column 2 A. 6 B. 7 C. 8 D. 9 A. 6 B. 7 C. 8 D. 9 A. 12 B. 13 C. 14 D. 15 A. 6 B. 7 C. 8 D. 9 A. 10 B. 16 C. 19 D. 20 Column 3 A. Synthesis B. Decomposition C. Single Replacement D. Double Replacement
Chemistry Jan 20, 2025
Consider the equation for the combustion of propane, \( \mathrm{C}_{3} \mathrm{H}_{8} \) \( \mathrm{C}_{3} \mathrm{H}_{8}+\mathrm{O}_{2} \rightarrow \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O} \) 16. If the equation is correctly balanced, what are the coefficients? \( \begin{array}{ll}\text { A. } 2 ; 3 ; 2 ; 5 & \text { C. } 1 ; 5 ; 3 ; 4 \\ \text { B. } 2 ; 5 ; 1 ; 4 & \text { D. } 3 ; 5 ; 4: 10\end{array} \) 17. If 50.0 g of \( \mathrm{C}_{3} \mathrm{H}_{8} \) is allowed to react with 200 g of \( \mathrm{O}_{2} \), which is the limiting reagent? (2points) \( \begin{array}{ll}\text { A. } \mathrm{C}_{3} \mathrm{H}_{8} & \text { C. } \mathrm{CO}_{2} \\ \text { B. } \mathrm{O}_{2} & \text { D. } \mathrm{H}_{2} \mathrm{O}\end{array} \) \( \begin{array}{ll}\text { 18. How many moles of carbon dioxide can be produced from the reaction? (2points) } \\ \begin{array}{ll}\text { A. } 1.00 \text { mol } & \text { C. } 150 \text { mol } \\ \text { 19. } 1.14 \text { mol } & \text { D. } 3.41 \text { mol } \\ \text { A. } 18.0 \mathrm{~g} & \text { C. } 5.00 \mathrm{~g}\end{array} \\ \text { B. } 109 \mathrm{~g} & \text { D. } 60.0 \mathrm{~g}\end{array} \)
Chemistry Jan 20, 2025
16. If the equation is correctly balanced, what are the coefficients? \( \begin{array}{ll}\text { A. } 2: 3 ; 2: 5 & \text { C. } 1 ; 5 ; 3 ; 4 \\ \text { B. } 2 ; 5 ; 1: 4 & \text { D. } 3 ; 5 ; 4 ; 10\end{array} \) 17. If 50.0 g of \( \mathrm{C}_{3} \mathrm{H}_{8} \) is allowed to react with 200 g of \( \mathrm{O}_{2} \), which is the limiting reagent? (2points) \( \begin{array}{ll}\text { A. } \mathrm{C}_{3} \mathrm{H}_{8} & \text { C. } \mathrm{CO}_{2} \\ \text { B. } \mathrm{O}_{2} & \text { D. } \mathrm{H}_{2} \mathrm{O}\end{array} \) 18. How many moles of carbon dioxide can be produced from the reaction? (2points) \( \begin{array}{ll}\text { A. } 1.00 \mathrm{~mol} & \text { C. } 150 \mathrm{~mol} \\ \text { B. } 1.14 \mathrm{~mol} & \text { D. } 3.41 \mathrm{~mol} \\ \text { 19. How much of the excess reactant would be left unused? }(2 \text { points) } \\ \text { A. } 18.0 \mathrm{~g} & \text { C. } 5.00 \mathrm{~g}\end{array} \)
Chemistry Jan 20, 2025
Exercises: Evaluate the following limits by constructing the table of values. ( 5 points each item) (Show step by step process on your answer sheet) 1. \( \lim _{x \rightarrow 2} 5^{x} \) 2. \( \lim _{x \rightarrow 4} \log x \) 3. \( \lim _{x \rightarrow \pi} \cos x \) 4. \( \lim _{x \rightarrow 0} \frac{1-\cos t}{\sin t} \)
Calculus Jan 20, 2025
Exercises: Evaluate the following limits by constructing the table of values. ( 5 points each item) (Show step by step process on your answer sheet) 1. \( \lim _{x \rightarrow 2} 5^{x} \) 2. \( \lim _{x \rightarrow 4} \log x \) 3. \( \lim _{x \rightarrow \pi} \cos x \)
Calculus Jan 20, 2025
5. Given: \( m \angle A D C=54^{\circ} \) ar a. What is the \( m \angle D A C \) ? b. What is the \( m \angle A C B \) ? c. What is the \( m \angle B A C \) ? d. What is the \( m \angle A B C \) ? e. What property did you a Measure of the angles?
Geometry Jan 20, 2025
5. A box contain 6 distinct red balls and 4 distinct blue balls. In how many ways can 3 balls be drawn randomly from the box if: a. the color is not considered? b. b. 2 balls is red and one is blue? c. c. all three balls are red?
Probability Jan 20, 2025
1. \( 135.33+23.36= \) 2. \( 312.36-37.65= \) 3. \( 144.31 \times 3.5= \) 4. \( 327.6+5.2= \) EXER \( 10: \) Perform the indi 1. \( 134.13+23.36= \) 2. \( 310.26-37.65= \) 3. \( 144.71 \times 3.5= \) 4. \( 353.6+5.2= \) EXER \( 11: \) Perform the ind 1. \( 534.13+23.36= \) 2. \( 410.26-37.65= \) 3. \( 544.71 \times 3.5= \) 4. \( 464.36+5.2= \) EXER \( 12: \) Perform the ind
Arithmetic Jan 19, 2025
2.) \( \begin{array}{r}312.36 \\ -\quad 37.65 \\ \hline\end{array} \)
Arithmetic Jan 19, 2025
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