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very difficult differentiation~~urgent ...
It is given that a function f(x) = (x^3) + h(x^2) + kx - 4.(a) If the curve y = f(x) touches the x-axis at (2,0) , find the values of h and k.(b) Find the maximum and minimum points of the curve y = f(x). Hence sketch the curve.(c) From the graph , find the range of real values of the constant c if(i) f(x)... 顯示更多 It is given that a function f(x) = (x^3) + h(x^2) + kx - 4. (a) If the curve y = f(x) touches the x-axis at (2,0) , find the values of h and k. (b) Find the maximum and minimum points of the curve y = f(x). Hence sketch the curve. (c) From the graph , find the range of real values of the constant c if (i) f(x) = c has one real root only. (ii) f(x) = c has two unequal real roots only. (iii) f(x) = c has three unequal real roots. 更新: no need to do (a) and (b) ,, just do (c) . thanks a lot......
最佳解答:
a)h=-5,k=8 b)f(x) = x^3 -5x^2+ 8x - 4 minimum point is(2,0) maximum point is (4/3,4/27) (c)after you sketch the graph you add a straight line y=c to solve the above situation (i) from the result(b),c<0 or c>4/27,c has one real root only (ii) c=0 or c=4/27,c has two unequal real roots only (iii) 0<4/27,c has three unequal real roots. 2007-10-21 15:28:50 補充： (iii)0 is less than c,c is less than 4/27
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very difficult differentiation~~urgent ...
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發問:It is given that a function f(x) = (x^3) + h(x^2) + kx - 4.(a) If the curve y = f(x) touches the x-axis at (2,0) , find the values of h and k.(b) Find the maximum and minimum points of the curve y = f(x). Hence sketch the curve.(c) From the graph , find the range of real values of the constant c if(i) f(x)... 顯示更多 It is given that a function f(x) = (x^3) + h(x^2) + kx - 4. (a) If the curve y = f(x) touches the x-axis at (2,0) , find the values of h and k. (b) Find the maximum and minimum points of the curve y = f(x). Hence sketch the curve. (c) From the graph , find the range of real values of the constant c if (i) f(x) = c has one real root only. (ii) f(x) = c has two unequal real roots only. (iii) f(x) = c has three unequal real roots. 更新: no need to do (a) and (b) ,, just do (c) . thanks a lot......
最佳解答:
a)h=-5,k=8 b)f(x) = x^3 -5x^2+ 8x - 4 minimum point is(2,0) maximum point is (4/3,4/27) (c)after you sketch the graph you add a straight line y=c to solve the above situation (i) from the result(b),c<0 or c>4/27,c has one real root only (ii) c=0 or c=4/27,c has two unequal real roots only (iii) 0<4/27,c has three unequal real roots. 2007-10-21 15:28:50 補充： (iii)0 is less than c,c is less than 4/27
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