In Exercises 1–4, use the given table of values to estimate, for the given value of a, each of the following if they exist: (a) lim x → a − f ( x ) (b) lim x → a + f ( x ) (c) lim x → a f ( x ) (d) f ( a ) if it is defined [HINT: See Example 1-3 ] a = 2 ; table of values: x 1.9 1.99 1.999 1.9999 2 2.0001 2.001 2.01 2.1 f ( x ) –5.975 –5.9975 –5.99975 –5.999975 –4 440,000 44,000 4,400 440
In Exercises 1–4, use the given table of values to estimate, for the given value of a, each of the following if they exist: (a) lim x → a − f ( x ) (b) lim x → a + f ( x ) (c) lim x → a f ( x ) (d) f ( a ) if it is defined [HINT: See Example 1-3 ] a = 2 ; table of values: x 1.9 1.99 1.999 1.9999 2 2.0001 2.001 2.01 2.1 f ( x ) –5.975 –5.9975 –5.99975 –5.999975 –4 440,000 44,000 4,400 440
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
Chapter 10 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
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