| Topic | Problem | Solution |
|---|---|---|
| None | Find the focus and directrix of the parabola with… | The given equation is in the form of \(y^2 = 4ax\), where \(4a\) is the coefficient of \(x\). The f… |
| None | If $x=29^{\circ}$, find the measure of the angle … | Given that the angle \(x = 29^{\circ}\). |
| None | Use a sum or difference formula to find the exact… | The given expression is in the form of the cosine of the sum of two angles. The formula for the cos… |
| None | A construction crew is lengthening a road. Let $y… | Let's denote the total length of the road as \(y\) (in miles) and the number of days the crew has w… |
| None | Suppose an Egyptian mummy is discovered in which … | We are given that the amount of carbon-14 present in the mummy is three-fifths the amount found in … |
| None | Given the function $f(x)=x\left(x^{2}-8\right)-5$… | Find the derivative of the function: $f'(x) = 3x^2 - 8$ |
| None | Graph the following function over a two perhod in… | The amplitude of a cosine function is the absolute value of the coefficient of the cosine term. In … |
| None | An exercise machine with an original price of $\$… | Let the original price of the exercise machine be \$730 and the discount be 18%. |
| None | Solve the logarithmic equation. Express all solut… | The logarithmic equation is given as \(\log (7-x)=0.5\). |
| None | 1 Which of the following is an equivalent form of… | The expression $15x + 24ax$ can be simplified by factoring out the common factor $x$. |
| None | During an epidemic, the number of people who have… | Given the function \(f(t)=17,000 e^{-0.04 t}\), where \(t\) is time in days, we can find the number… |
| None | Use Part 2 of the Fundamental Theorem of Calculus… | The Fundamental Theorem of Calculus Part 2 states that if a function f is continuous over the inter… |
| None | Suppose that $\$ 1100$ is invested at an interest… | Given that the principal amount (P) is $1100, the final amount (A) is $2200 (since the investment i… |
| None | A species of fish was added to a lake. The popula… | The initial population size can be found by substituting \(t=0\) into the function \(P(t)\). |
| None | A 90-horsepower outboard motor at full throttle w… | We are given that the outboard motor rotates its propeller at 4100 revolutions per minute. We need … |
| None | The bearing from City A to City B is N $41^{\circ… | Given that the speed of the automobile is 55 mph, and it takes 1.2 hours to travel from City A to C… |
| None | If $f(x)=\int_{0}^{x}\left(t^{3}+6 t^{2}+3\right)… | The function $f(x)$ is defined as the integral of a function from 0 to $x$. The Fundamental Theorem… |
| None | Let $\mathbf{v}=\left\langle x^{3} \cos z, 5-3 x^… | Let \(\mathbf{v}=\left\langle x^{3} \cos z, 5-3 x^{2} y \cos z-3 y z^{2} \sin x, z^{3} \sin x\right… |
| None | Solve the following triangle using either the Law… | We are given a triangle with sides a = 8, b = 12, and c = 13. We are asked to find the angles of th… |
| None | Use the given conditions to write an equation for… | First, we need to find the slope of the given line. The equation of the line is given in slope-inte… |
Here you can find problems in different subjects and step-by-step solutions provided by Solvely, including problems from mathematics, physics, chemistry and other subjects, covering different knowledge points. These problems help you understand and learn knowledge points, such as geometry, algebra, equations, fractions, and exponents, etc. If you have problems that you want to solve, you can also download Solvely to get step-by-step answers.