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Philippines
\( \begin{array}{ll}\text { 1. } \lim _{x \rightarrow 4} 5 x+8 & \text { 6. } \lim _{x \rightarrow-3} \frac{2 x-4}{x-12} \\ \text { 2. } \lim _{x \rightarrow 5}(2 x-4)(x+7) & \text { 7. } \lim _{x \rightarrow-8} x^{2}+2 x-4 \\ \text { 3. } \lim _{x \rightarrow 25}(3 x)(x-5) & \text { 8. } \lim _{x \rightarrow 7} 5 x^{2}+24 \\ \text { 4. } \lim _{x \rightarrow \frac{1}{4}} 8 x+1 & \text { 9. } \lim _{x \rightarrow 24} 4 x(\sqrt[3]{x}) \\ \text { 5. } \lim _{x \rightarrow 3} \frac{x+9}{3 x-6} & \text { 10. } \lim _{x \rightarrow 2} \sqrt{6 x^{2}-4 x+12}\end{array} \)
Calculus Dec 08, 2024
Worksheet A: Identify and name the parts of the circle below. 1. Name the circle. 2. Radius:
Geometry Dec 08, 2024
2. Convert the given equation from standard to general form \[ (x-1)^{2}+(y+2)^{2}=81 \]
Geometry Dec 08, 2024
\( \left.\begin{array}{l}\text { 14. Given } f(x)=\left\{\begin{array}{cc}2 x^{2}-x & \text { if } x<3 \\ 3-x & \text { if } x \geq 3\end{array} \text {. Find } \lim _{x \rightarrow 3} f(x) \text {. }\right. \\ \text { 15. Given } f(x)=\left\{\begin{array}{cc}\frac{1}{x-1} & \text { if } x<-1 \\ x^{2}+2 x & \text { if } x \geq-1\end{array} \text {. Find } \lim _{x \rightarrow-1} f(x) .\right. \\ \text { 16. Given } f(x)=\left\{\begin{array}{ll}x^{2}-3 x & \text { if } x<2 \\ 4+2 x & \text { if } x \geq 2\end{array} \text { Is } f(x) \text { continuous at } 2 \text { ? }\right. \\ \text { 17. For what value(s) of } a \text { will the function } f(x)=\left\{\begin{array}{c}x^{2}+2 x \text { if } x \geq a \\ -1\end{array} \text { if } x<a\right.\end{array}\right\} \)
Calculus Dec 08, 2024
\( \left.\begin{array}{l}\text { 14. Given } f(x)=\left\{\begin{array}{cc}2 x^{2}-x & \text { if } x<3 \\ 3-x & \text { if } x \geq 3\end{array} \text {. Find } \lim _{x \rightarrow 3} f(x) .\right. \\ \text { 15. Given } f(x)=\left\{\begin{array}{cc}\frac{1}{x-1} & \text { if } x<-1 \\ x^{2}+2 x & \text { if } x \geq-1\end{array} \text {. Find } \lim _{x \rightarrow-1} f(x) .\right. \\ \text { 16. Given } f(x)=\left\{\begin{array}{ll}x^{2}-3 x & \text { if } x<2 \\ 4+2 x & \text { if } x \geq 2\end{array} \text { Is } f(x) \text { continuous at } 2 \text { ? }\right. \\ \text { 17. For what value(s) of } a \text { will the function } f(x)=\left\{\begin{array}{c}x^{2}+2 x \text { if } x \geq a \\ -1\end{array} \text { if } x<a\right.\end{array}\right\} \)
Calculus Dec 08, 2024
onvert the given equation from standard to general form \[ (x-5)^{2}+(y-4)^{2}=36 \]
Geometry Dec 08, 2024
Find the coordinates of the center, vertices, foci of the given equation \[ \frac{(y+2)^{2}}{16}-\frac{(x-3)^{2}}{25}=1 \]
Geometry Dec 08, 2024
Marias bakeng raised the price of thair papular bred by \( 15 \% \) if the original price was 40 what is nuw price?
Arithmetic Dec 08, 2024
7. In a league of nine football teams, each team plays every other team in the league exactly once. How many league games will take place? [5 pts]
Pre Algebra Dec 08, 2024
Q. Solve the following: 1. The amount of gasoline used by a car varies jointly as the distance travelled and the square root of the speed. Suppose a car used 25 liters on a 100 kilometer trip at \( 100 \mathrm{~km} / \mathrm{hr} \). About how many liters will it use on a 192 kilometer trip at \( 64 \mathrm{~km} / \mathrm{hr} \) ? 2. The area of triangle varies jointly as the base and the height. A triangle with a base of 8 cm and a height of 9 cm has an area of 36 square centimeters. Find the area when the base is 10 cm and the height is 7 cm . 3. The volume of a right circular cylinder varies jointly as the height and the square of the radius. The volume of a right circular cylinder, with radius 4 centimeters and height 7 centimeters , is \( 112 \pi \mathrm{~cm}{ }^{3} \). Find the volume of another cylinder with radius 8 centimeters and height 14 centimeters. 4. The mass of a rectangular sheet of wood varies jointly as the length and the width. When the length is 20 cm and the width is 10 cm , the mass is 200 grams. Find the mass when the length is 15 cm and the width is 10 cm . 5. The weight of a rectangular block of metal varies jointly as its length, width and thickness.
Algebra Dec 08, 2024
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