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Find the equation of the tangent to the curve y=x^3 + 4x^2 - 2x - 3 where x = -4

(1) is the equation y=x³+4x²-2x-3. First we want to find the coordinates of the curve for x=-4. This means that we are going to substitute x=-4 into (1) to find the value of y. y=(-4...

Answered by Lizzie B. • Maths tutor

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solve x^2 + 5x +6 = 0

You can do this a couple of ways. The first is by using the quadratic equation shown below. Each letter corresponds to the the coefficient of different powers of x. A is the number in front of x^2 and b i...

Answered by Oliver W. • Maths tutor

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Nadia has £5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change I will buy more pencils.” How many pencils and how many rulers does she buy?

Read the question carefully to understand what it is asking2) Consider how to approach the question - is there more than one way of getting the answer, are there any things that could trick me out (...

Answered by Hanesh P. • Maths tutor

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In a triangle ABC, side AB=10 cm, side AC=5cm and the angle BAC=θ, measured in degrees. The area of triangle ABC is 15cm(sq). Find 2 possible values for cosθ and the exact length of BC, given that it is the longest side of the triangle.

To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8
To f...

Answered by • Maths tutor

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For all values of x, f(x)=(x+1)^2 and g(x)=2(x-1). Show that gf(x)=2x(x+2)

The question is asking us to find gf(x).
When approaching this question, the first thing I tend to look for is what information we have that we can break down. In this case, I can immediately see tha...

Answered by Hannah B. • Maths tutor

8619 Views