(1) A course repeater claims that his brother who did some Calculus at college years ago, but currently on some cough medication, believes that the first derivative of (2x² – 1)(x² + 3) , f(x)* x² + 1 2x 1[(2x² – 1)(x² + 3) ] x2 + 1, 4x is f'(x) = l2x2 2x + x2 + 3 1 x² + 1 and (x² + 8)" (2 – 3x²)* Using the product, qoutient and chain rules you learnt in Unit 7 of this Course, could you [ (x² + 8)" Ix² + 82 – 3x²] [(2 – 3x²)*| 14x 30x that the first derivative of g(x) : is g'(x) = confirm whether his brother is right, wrong or a little tipsy. (2) In the following triangle below, the degree measures of the three interior angles and two of the exterior angles are represented with variables and expressions. (a) Find the size of each of the interior angle. 2x - 2r + 5
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
Can you answer question 1 and 2 please?
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