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A curve is defined by the parametric equations x=(t-1)^3, y=3t-8/(t^2), t is not equal to zero. Find dy/dx in terms of t.

We see that x and y are both expressed in terms of t and as we are looking to define dy/dx in terms of t, the first step we take is to find the derivatives of x and y in terms of t as follows.x = (t-1)^3d...

Answered by James F. • Maths tutor

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In an office there are twice as many females as males. 1/4 of the females wear glasses. 3/8 of the males wear glasses. 84 people in the office wear glasses. Work out the number of people in the office.

office that is females with glasses=(2/3)(1/4)=1/6 office that is males wearing glasses=(1/3)(3/8)=1/8 (1/6)/(1/8) = 8/6=4/3 so there is a ratio of 4:3 women to men wearing glasses 84*(4/7)=12

Answered by William J. • Maths tutor

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Olly drove 56 km from A to B. He then drives 61 km from B to C. Olly’s average speed from A to B was 70 km/h. Olly took 75 minutes to drive from B to C. Work out Olly’s average speed for his total drive from A to C.

Key fact: Average speed = total distance/ total timeStep 1: find the time taken for Olly to travel from A to B. Using the formula: time taken = distance travelled / speed(56/70 = 0.8 hrs = 48 mins)Step 2:...

Answered by Sacha W. • Maths tutor

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F = 5i + 3j. Find the magnitude and direction of F?

i is the unit vector (magnitude of 1) in the direction of the positive x-axis. j is the unit vector in the direction of the positive y-axis. The magnitude of F would be the length of ...

Answered by Rafiqul I. • Maths tutor

19017 Views

Given the area of the pool is 63m^2, what is the value of x?

(There is a diagram showing a rectangle with one side labelled x+4 and another labelled x+6)Area = (x+4)(x+6)63m^2 = x²+10x+240 = x²+10x-390 = (x-3)(x+13)
x-3=0 so x=3x+13=0 giv...

Answered by Toby G. • Maths tutor

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