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Find the location and nature of the turning point of the line y=-x^2+3x+2

Location is placed where the gradient is 0.Differentiate the line to get dy/dx = -2x + 3 and set it equal to zero.2x = 3 therefore x = 1.5.Plug back into the line equation to find the coordinate. y = -(1.5) ...
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Answered by Euan R. • Maths tutor
4537 Views

Integrate x^2 + 2x + 5x^-1

Answer: (x^3)/3 + x^2 +5 ln (x) .
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Answered by John A. • Maths tutor
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Solve x^2 = 4(x - 3)^2

Multiply out brackets x 2 = 4(x 2 - 6x + 9)x 2 = 4x 2 - 24x + 36 Minus x 2 from both sides 3x 2 -24x + 36 = 0 Divide equation by 3x 2 - 8x + 12 = 0 What 2 numbers add to make -8 and multiply to make 12? -6 a...
RH
Answered by Rosie H. • Maths tutor
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Define x and y if 2x+y=16 and 4x+6y=24

These are a pair of simultaneous equations.First, we can equate two of the coefficients in each equation (let's choose x) by multiplying each equation respectively.With our first equation, multiply it by 2: ...
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Answered by Bexi H. • Maths tutor
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There are n sweets in a bag. 6 are orange. A random sweet gets eaten, and then a second one. The probability that both sweets are orange is 1/3. Find n.

The probability that the first sweet is orange is 6/n, as 6 of the n number of sweets are orange. After an orange sweet is eaten, there are 5 orange sweets left and n-1 total sweets in the bag. This means th...
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Answered by Josh G. • Maths tutor
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