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a curve is defined by y=2x^2 - 10x +7. point (3, -5) lies on this curve. find the equation of the normal to this curve

equation of tangent is y - y1 = m(x-x1). differentiating y gives us the value of m. so dy/dx = 4x-10. we know x is 3. therefore, dy/dx = m = 2 but we need equation of the normal, which is y-y1=(1/m)(x-x1)...

HH
Answered by Huy H. Maths tutor
3569 Views

The curve C has an equation y = sin(2x)cos(x)^2. Find dy/dx. Find normal to curve at x = pi/3 rad, giving answer in exact form.

Student should use a combination of trigonometric identities, product rule and chain rule to find dy/dx.This can be done by applying product rule, obtainingdy/dx = sin(2x). d[cos(x)^2]/dx + cos(x)^2. d[si...

SC
Answered by Sunchi C. Maths tutor
4095 Views

Solve the equation 3 sin^2 theta = 4 cos theta − 1 for 0 ≤ theta ≤ 360

I would convert the sin squared theta into a cos squared theta using identity that sin sq + cos sq = 1This would then give me a quadratic equation which I would substitute X = cos thetaThen I would solve ...

ML
Answered by Mario L. Maths tutor
9067 Views

Simplify 125^-2/3

125^-2/3= 1/125^2/3=1/(cube root(125))^2=1/5^2=1/25

AW
Answered by Amy W. Maths tutor
3335 Views

The circle C has centre (3, 1) and passes through the point P(8, 3). (a) Find an equation for C. (b) Find an equation for the tangent to C at P, giving your answer in the form ax + by + c = 0 , where a, b and c are integers.

A)1) Draw a diagram of the circle displaying the centre and perimeter points along with their respective co-ordinates.2) Write down the equation for a circle labelling the centre and perimeter points. 3) ...

PV
Answered by Patrick V. Maths tutor
8862 Views

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