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The curve C has the equation: 2(x^2)y + 2x + 4y – cos (πy) = 17 use implicit differentiation to find dy/dx in terms of x and y

Using the product rule: d/dx(ab)=ab’ + a’b where a and b are variables which have been differentiated with respect to x

Derivative: 2(x^2(dy/dx)+2xy) + 2 + 4dy/dx+πsin(πy)...

GG
Answered by George G. • Maths tutor
6078 Views

A 4 digit number is picked. It's second digit is a prime number, it must be even and it must be greater than 5000. How many possible numbers can be picked?

This involves the product rule for counting. Step 1: Identify the possible numbers for the first digit 5, 6, 7, 8 or 9 (5 in total) Step 2: Identify the possible numbers for the second digit 2, 3, 5 or 7 ...

TS
Answered by Thomas S. • Maths tutor
7053 Views

Solve the following inequality and shade the region to which it applies on a graph. 10x(squared) < 64x - 24

Step 1: Simplify the quadratic by dividing by 2. 5x2 < 32x - 12 Step 2: Move all terms onto one side of the quadratic. 5x2 - 32x + 12 < 0 Step 3: Factorise the quadratic. (5x -...

TS
Answered by Thomas S. • Maths tutor
3539 Views

Factorise 15a^2 + ab - 6b^2

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