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Solve the simultaneous equations 6x - 27 = 15 and 4x + 3y = -3.

Initially we have two unknown variables, so we want to eliminate one of the variables (x) to solve for the other (y). The LCM of 6 and 4 is 12, so multiply each equation such that the coefficient of x is ...

AC
Answered by Alannah C. Maths tutor
3368 Views

Relative to a fixed origin O, the point A has position vector (8i+13j-2k), the point B has position vector (10i+14j-4k). A line l passes through points A and B. Find the vector equation of this line.

The vector equation of any line is composed of the addition of a point on the line and some distance in the direction of the line, in the form y=(x,y,z) +d(x_1, y_1, z_1), where (x,y,z) is any point on th...

CS
Answered by Carlota S. Maths tutor
6700 Views

Given the ratio of x : y is 7 : 4 and x + y = 88. Work out the value of x – y

7x = 4yx=4y/7If we insert this into our other equation.4y/7 + y = 8811y/7 =88y = 56As we knowx =4y/7X= 4*56/7 = 32Then we can work out the answer X - Y = 32 - 56 = -24

SK
Answered by Salih K. Maths tutor
3967 Views

If f(x)=(x^3−2x)^5 , find f'(x).

f(x)=(x3-2x)5
If we look at this function, we can see that it can be split into two functions, one hiding in the other one. Because of that, to solve this problem we will need t...

RS
Answered by Radovan S. Maths tutor
4969 Views

What is the indefinite integral of xlog(x)?

The integral can be split into two different functions of x which is a hint that we must use the integration by parts method. The method is defined as

WH
Answered by William H. Maths tutor
3918 Views

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