First, let's simplify the expression for Y:
Y = (1/5)x^5 - (1/2)x^2 + 3x^2 + 2Y = (1/5)x^5 + (5/2)x^2 + 2
Now, to find the value of Y at x = x0 = -1, we substitute x = -1 into the expression for Y:
Y = (1/5)(-1)^5 + (5/2)(-1)^2 + 2Y = (1/5)(-1) + (5/2)(1) + 2Y = -1/5 + 5/2 + 2Y = -1/5 + 10/5 + 10/5Y = 19/5
Therefore, Y = 19/5 when x = -1.
First, let's simplify the expression for Y:
Y = (1/5)x^5 - (1/2)x^2 + 3x^2 + 2
Y = (1/5)x^5 + (5/2)x^2 + 2
Now, to find the value of Y at x = x0 = -1, we substitute x = -1 into the expression for Y:
Y = (1/5)(-1)^5 + (5/2)(-1)^2 + 2
Y = (1/5)(-1) + (5/2)(1) + 2
Y = -1/5 + 5/2 + 2
Y = -1/5 + 10/5 + 10/5
Y = 19/5
Therefore, Y = 19/5 when x = -1.