In Exercises 9-12, say whether or not f ( x ) is defined for the given values of x. If it is defined, give its value. [ Hint: See Quick Example 3.] f ( x ) = 2 x − x 2 , with domain [ 2 , + ∞ ) a. x = 4 b. x = 0 c. x = 1
In Exercises 9-12, say whether or not f ( x ) is defined for the given values of x. If it is defined, give its value. [ Hint: See Quick Example 3.] f ( x ) = 2 x − x 2 , with domain [ 2 , + ∞ ) a. x = 4 b. x = 0 c. x = 1
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
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