Use the formula for instantaneous rate of change, approximating the limit by using smaller and smaller values of h, to find the instantaneous rate of change for the function at the given value.Use a graphing utility to approximate the instantaneous rate of change of f(x) = x-ln x at x = 1.
A. 1.0000
B. -0.8747
C. 0.0000
D. 0.5000
Answer: C
Mathematics
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Graph the equation and state whether the line has a positive or negative slope.y - 4x = 4
A. Positive slope
B. Negative slope
C. Negative slope
D. Positive slope
Mathematics
Find the first four terms of the binomial series for the given function.(1 - 6x)1/2
A. 1 - 3x - 
x2 - 
x3
B. 1 - 3x - 
x2 - 
x3
C. 1 - 3x + 
x2 - 
x3
D. 1 + 3x + 
x2 - 
x3
Mathematics
Factor the trinomial completely. If the trinomial cannot be factored, say it is prime.4t5 - 4t4 - 80t3
A. 4t3(t - 4)(t + 5) B. (t - 4)(4t4 + 20) C. (4t4 + 16)(t - 5) D. 4t3(t + 4)(t - 5)
Mathematics
Evaluate.
if a = 5 and b = 2
A. 10 B. 9 C. 17 D. 8
Mathematics