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Patrice has worked a certain how many hours has she worked, Patrice has wor...

Patrice has worked a certain amount of hours so far this week. Tomorrow she will work four more hours to finish out the week along with a total of 10 hours. How many hours has she

Evaluate the area of circle, If the radius of a sphere is doubled, the surf...

If the radius of a sphere is doubled, the surface area is a. multiplied by 4. b. multiplied by 2. c. multiplied by 3. d. multiplied by 8. a. The formula for the surf

Find out the center of mass, Find out the center of mass for the region bou...

Find out the center of mass for the region bounded by y = 2sin (2x), y =0 on  the interval  [0 , Π/2] Solution Here is a sketch (diagram) of the region along with the cent

Solve out the linear equations, Solve out each of the following equations. ...

Solve out each of the following equations.                3( x + 5)= 2 ( -6 - x ) - 2x Solution In the given problems we will explained in detail the first problem and t

Find the value of p and q for which the system of equations, Find the value...

Find the value of p and q for which the system of equations represent coincident lines 2x +3y = 7, (p+q+1)x +(p+2q+2)y = 4(p+q)+1 Ans: a 1  = 2, b 1 = 3, c 1 = 7 a 2  =

Parallel lines, Parallel to the line specified by 10 y + 3x= -2 In this...

Parallel to the line specified by 10 y + 3x= -2 In this case the new line is to be parallel to the line given by 10 y ? 3x ? -2 and so it have to have the similar slope as this

Reduction of order, We're here going to take a brief detour and notice solu...

We're here going to take a brief detour and notice solutions to non-constant coefficient, second order differential equations of the form. p (t) y′′ + q (t ) y′ + r (t ) y = 0

Find the number of males and females in the village, The population of the ...

The population of the village is 5000.  If in a year, the number of males were to increase by 5% and that of a female by 3% annually, the population would grow to 5202 at the end o

Explain that odd positive integer to be a perfect square, Show that for odd...

Show that for odd positive integer to be a perfect square, it should be of the form 8k +1. Let a=2m+1 Ans: Squaring both sides we get a2 = 4m (m +1) + 1 ∴ product of two

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