CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Students have asked these similar questions
x² + 1
What is the derivative of y=
x² + 4
A None of the given choices
6x
(B)
(x² + 4)²
10x
(x² + 4)?
-6x
D
(x² + 4)²
бх
(E)
x² + 4
find the derivative, point of discontinuity and redefine the function
You are given the following function.
10t
G(t) =
t + 7
(a) Find the derivative of the function using the definition of derivative.
G '(t) =
(b) Select the domain of the function.
O (-∞, -7] U [7, 0)
O [-7, 7]
O (-7, 7)
O (∞, -7) U (-7, 0)
(c) Select the domain of its derivative.
O (-0∞, -7] U [7, )
O (7, 7)
O [-7, 7]
O (-0, -7) U (-7, ∞)
OR
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- Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R=L/k. For this exercise and the next, we suppose that at time t=0, the forest floor is clear of litter. a. If D is the difference between the limiting value and A, so that D=RA, then D is an exponential function of time. Find the initial value of D in terms of R. b. The yearly decay factor for D is ek. Find a formula for D in term of R and k. Reminder:(ab)c=abc. c. Explain why A=RRekt.arrow_forwardRepeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.arrow_forwardQol find the derivative of :- Ⓒ f(z) = (2+2=2²/2)¹/? 3 f(²)= (1+2²) ³/₂ -3 7 f(z) = (iz-1)³arrow_forward
- x² + 1 What is the derivative of y= x2 +4 (A None of the given choices 10x В (x²+ 4)² -6x (x²+4)? 6x D x2 + 4 6x (E (x²+ 4)²arrow_forward(3x– 4)8 Find the derivative of 9(x) = (4x² + 3)$arrow_forwardFind the derivative of the function using the definition of derivative. 1 g(x) 3 + 1 g'(x) = (3+ vx (2vx) State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.) Need Help? Read Itarrow_forward
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