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The line l1 has equation 4y - 3x = 10. Line l2 passes through points (5, -1) and (-1, 8). Determine whether the lines l1 and l2 are parallel, perpendicular or neither.

To determine the answer the gradient of both lines must be found. To find the gradient of line l1 the equation can be rewritten in the form y = mx + c. 4y - 3x = 10 so y = 3/4 x + 5/2. From this equation ...

Answered by Rosie M. Maths tutor
13546 Views

Solve the simultaneous equations, 2x-3y=14 and 3x+4y=4

When asked to solve we have to find the value of x and the value of y, as they are simultaneous equations we know the value of y in equa...

Answered by Shireen B. Maths tutor
3804 Views

Evaluate the integral of cos(x)sin(x)(1+ sin(x))^3 with respect to x.

Substitution of 'u=1+sin(x)' is required.Differentiating this with respect to x gives cos(x)... therefore du=1/cos(x) dxmultiplying that through leaves the integral of sin(x)(1+sin(x))^3 which therefore c...

Answered by Maths tutor
4219 Views

Evaluate the indefinite integral when the integrand function is tan(x).

To solve this problem we will use a clever substitution to easily integrate and thus obtain the answer.First we can represent tan(x) as its fractional equivalent sin(x)/cos(x), assigning the variable u to...

Answered by Jose Nicolas B. Maths tutor
2445 Views

solve the simultaneous equation: 3x+y=7, 2x+4y=8

First, we need to remove one of the variables from one of the equations. In this case, we multiply the first equation by 4 to give 12x+4y=28.Then minus the 2nd equation from this to give 10x+0y=20.Now div...

Answered by Matthew T. Maths tutor
3898 Views

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