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1238 AM Fri Feb 4 5 @ 96% - 5. For each function. nd the coordinates of any points on the graph of the function
1238 AM Fri Feb 4 "5"\" @ 96% - 5. For each function. nd the coordinates of any points on the graph of the function where the gradient is equal to the given value. (a) y = x2 + 3x gradient = 3 (b) y = x3 gradient = 12 (c)y=x25x+l gradient=0 (d) y = 5r2 - 3:: gradient = l 6. 'ihe gradient of the curve y = x2 4x + 6 at the point (3, 3) is equal to the gradient of the curve y = 8x - 3::2 at (a, b). Find the value of a and the value of b. 7. The graph of the equation y = M3 - 2x2 - x + 7 has a gradient of 3 at the point where x = 2. Find the value of a. 8. Find the coordinates of the point on the graph of y = x2 - x at which the tangent is parallel to the line y = 5x. 9. A car is parked with the windows and doors closed for ve hours. r{he temperature inside the car in degrees Celsius, C, is given by C = 2&5 + 17, with t representing the number of hours since the car was rst parked. (a) Find the average rate of change of the temperature between t = l and t = 4. (b) Find the function which gives the instantaneous rate of change of the temperature for any time t, 0
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