Hits: 19
Hits: 19 Question The equation of a curve is x2+4xy+2y2=7 i. Find the equation of the tangent to the curve at the point (-1, 3). Give your answer in the form ax +by +c = 0, where a, b and c are integers. ii. Show that there is no point on the curve […]
Hits: 25 Question i. Find the exact value of ii. Given that Find the value of positive constant a. Solution i. We are required to find; Rule for integration of is: Rule for integration of is: Rule for integration of is: Rule for integration of is: ii. We […]
Hits: 25 Question The diagram shows the curve y=4e−2x and a straight line. The curve crosses the y-axis at the point P. The straight line crosses the y-axis at the point (0, 9) and its gradient is equal to the gradient of the curve at P. The straight line meets the curve at two points, […]
Hits: 23 Question The polynomials p(x) and g(x) are defined by; and where a and b are constants. It is given that (x + 3) is a factor of f(x) and also of q(x). i. Find the values of a and b. ii. Show that the equation q(x) – p(x) = 0 has […]
Hits: 32 Question The equation of a curve is . The curve has a stationary point M in the interval . Find the coordinates of M, giving each coordinate correct to 3 significant figures. Solution We are required to find the x-coordinates of stationary point of the curve. A stationary point on the curve is […]
Hits: 140 Question It is given that x satisfies the equation . Find the possible values of Solution SOLVING EQUATION: PIECEWISE Let, . We can write it as; We have to consider two separate cases; When When We have the equation; It can be written as; We have to consider two separate cases; When […]
Hits: 120 Question Use logarithms to solve the equation 53x-1 = 24x giving your answer correct to 3 significant figures. Solution We are given; Taking natural logarithm of both sides; Power Rule;