Q and A for the topic: General

2. We want to compute the area of the region between the line y = x − 1 and the parabola y2 = 2x + 6 We have two methods to calculate this one. For both methods, start by finding the points of interception and sketching the region. (a) Method 1. Solve for y on the equation y2 = 2x + 6. You will notice that there are two solutions. Look back at the graph. These correspond to the two branches of the parabola when we consider y as a function of x. Try to decompose your area as the sum of two areas that you can write as integrals. Be careful. (b) Method 2. Think of y as the variable and of x as a function of y

How long did it take for the beam to reach a speed of 22 m/s moving with friction covered a distance of 70 m? 3 m/s2 Bury the drum of the beginning of this movement too!

Solve the equation x+4=-12

Calculate the molarity of HCL in a reagent labelled 37.0 wt% HCL, density=1.188g/ml

Assume that the price per unit d of a certain item to the consumer is given by the equation d=35-10x where x is the number of units in demand. The price per unit from the supplier is given by the equation s=2x+20 where x is the number of units supplied. Find the equilibrium price and the equilibrium quantity.

The average salary of the employees in a certain organization is equal to 9300 with a standard deviation of 1400. It was decided to reduce 10% of each employee's salary and it was also decided to reduce another 100. What are the new average and standard deviation?

a student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vO= 12.5 m/s. the cliff is h=38.0 m above a flat, horizontal beach as shown in the figure. (c) write the equations for the c- and y-components of the velocity of the stone with time. (use the following as necessary: t. let the variable t be measured in seconds. do not include units in your answer.) (d) write the equations for the position of the stone with time, using the coordinates in the figure. (use the following as necessary:t. let the variable t be measured in seconds. do not state units in your answer.)

Find the slope of the line through (1,1) and (x,y) for y=x^2+2 when: (Note: Ensure you carry enough significant digits in your calculation to arrive at an accurate answer.) x= 2.03 x=2+h

-1.3 - (-2.4)

Licence plates consist of either 3 letters and 3 numbers or 4 letters and 3 numbers. How many different licence plates can be issued?

The sum of two positive integers is 42. When the smaller integer is subtracted from twice the larger the result is 24. Find the two integers

2x - (42 - x) = 24

solve the system using any method. Explain your choice of method 3x+y=4 6x+2y=-4

On January 25th, 80% pass, on January 31st, 75% pass, and on February 3rd, 85% pass. Determine the minimum percentage of integralists?

“Technology is the future of humanity. " What do you think ?

Create a word problem for a linear equation, that has a constant rate of change

Covert 2.87 Kg to g with the metric system

The longer leg of a right triangle is 1 cm longer than the length of the shorter leg x. The hypotenuse is 5 cm .

4-(3) square + (-4/2) square

Omar’s salary is 5,900 riyals and the number of working hours is 8 hours. What is the daily wage and the minute wage?