Solve each of the following questions. " 1. Ifx varies jointly as y and z, find the constant k of variation if x=5, z 8 and y 480. 2. The maximum safe load (M) of a rectangular beam varies jointly as the width (w) and the square of the depth (d) and inversely as the length (!). A beam 3dm wide, 2dm deep and 12dm long has a maximum safe load of 1.9kg. Find the maximum safe load for a beam of the same material which 6dm wide, 5dm deep and 16dm long.

Q: 3. According to Hooke's law, the force F required to stretch a spring x units beyond its natural…

A: We have to find the value of spring constant and weight.

Q: Q2. (a) Find the overlapping area of two equations also give its geometrical representation: u? + v?…

A: Since, these equations are of the form  (x - a)2 + (y- b)2 = r2  which means both the equations are…

Q: 3. In problem 2 you identified each isolate the indicated variable. 2 a. 5pm² = 35 for p b) 0=4t-p²²…

A:

Q: If x  is inversly proportional to the cube of T and X=54, when T=3, find An equation for T interms…

A: X= K/T^3 Is the equation

Q: body were directly proportional to each body the slope of the line in MC-1.1. If mrainand M brain'…

A: Given information:- mbrain directly proportional to Mbody

Q: A particle moves in a straight line such that its acceleration when at position x (with respect to a…

A:

Q: e measure of angle marked with a 3. 7x + 33 10v

A: The solution is :

Q: 3.Eliminate the arbitrary constant on the given equation: asiny - xy-3 = C 4. Eliminate the…

A:

Q: c) The charging xaltage.in a charging capacitor V(t) at time t seconds is given by: V(t) = V,(1 –…

A:

Q: 3. y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z…

A: The direct proportionality can be shown as x∝y. The values of x increases as y increases. The…

Q: 6. If w varies directly as x and the square of y and inversely as z; and w=18 when x = 4, y= 6 and z…

A:

Q: 1. The following data represents (time in s, distance traveled in meters) for a car: (0, 0), (2,…

A: Given: The data representing time and distance for a car in seconds and meters respectively.We need…

Q: 1) For the situation, show the work for the four steps to solving the Inverse varlation problem. The…

A: We will find the value of  y.

Q: 7. If y varies directly with the square root of x, and y = 48 when x = 4, (a) Find the variation…

A:

Q: 1. Consider the table that shows the driving experience in years (x) and the rating of driver (y) a)…

A: (a) The table look like this: x y xy x2 y2 0 1.2 0 0 1.44 1 2.1 2.1 1 4.41 2 3.6 7.2 4…

Q: Solve the equation for x and y x+v=300 5x+8y=2100

A: Given query is to find the solution of the system of equations

Q: B = (1, 2) (-2,1.5) E = (-1,0.5) -2 -1 4 ch statement can be used to show AABC ~ ADEF? ADEF is the…

A: Please refer to the image below

Q: 4. The position of a point on a line is given by the equation s(t) = t³ — 6t² +9t - 4, where s is…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: 2.Let be a company whose total revenue and total costs, in dollars, are given respectively by: R(q)…

A:

Q: 1. Solve ,analy hically., the fallowinng differencerequ. a. C- YCK+3) +2 y(km2) +oi45y(k+i) +0105…

A: As you require, we will solve this question on the given difference equation purely analytically.

Q: An engineer wants to determine the spring constant for a particular spring. She hangs various…

A: a) The given information is that the data shows the scatter plot of length (y) versus load (x). From…

Q: If the speed at x = 1, v(r = 1) = 3 m/s then the speed at x = 0, v(x=0) is: v = V11.5 Can't be…

A:

Q: 1. Solve for the variable x. F = kx – kxo A. x=F-kxg А. х- O B. x=F-kx, k F- Kxo О с.х3 C. x= D.…

A: The given equation is F=kx-kx0