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Differentiate with respect to x: 3 sin^2 x + sec 2x

6 sinx cosx + (2 sin 2x)/(cos^2 2x)
HM
Answered by Hugo M. • Maths tutor
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The functions f and g are defined on R , the set of real numbers by f(x) = x^2 - 5x +2, and g(x) = 1 - x. Find h(x) = f(g(x)), and j(x) = g(f(x)).

Part 1: Step 1: Substitute in (1-x) for x in the equation f(x) = x^2 -5x +2 Step 2: Break the brackets Step 3: Collect like terms to simplify Part2: Step 1: Substitute in (x^2 -5x +2) for x in the equation g...
DH
Answered by Daniel H. • Maths tutor
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How do you solve a quadratic inequality eg find the values of x for which x^2 -6x +2 < -3

First we must change our inequality so that we have a zero on one side, In this case we can add three to both sides of the inequality, this gives: x^2 - 6x +5 &lt; 0 Now let's consider the equation y = x^2 -...
IR
Answered by Isobel R. • Maths tutor
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Please find X. 5x + 2 = 9

5x + 2 = 9 Bring all the numbers which do not include x to the right hand side. 5x = 9 - 2 5x = 7 Now, to find x, 7 should be divided by 5. x = 7 / 5
EA
Answered by Erato A. • Maths tutor
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3 shops sell TVs and all 3 are having sales. Here are the three original prices of the TVs and their discounts: X12: £150 (25%), Teli-vise: £235 (1/2 off), Xpert: £60 (with a year of weekly £8 payments). Which TV is the cheapest once discounted.

X12 = £150 x (1-0.25) = £112.50 Teli-vise: £235 / 2 = £117.50 Xpert: £60 + (12 x £8) = £156 Therefore the X12 is the cheapest television after the discount has been applied.
GC
Answered by George C. • Maths tutor
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