7 Answered Questions for the topic Calculus III

Calculus Iii Math Calculus Precalculus

03/20/21

What is the limit as x approaches infinity of sqrt(4x^2 - 3x - 2x) ?
What is the limit as x approaches infinity of sqrt(4x^2 - 3x - 2x) ?
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Calculus Iii Math Calculus Precalculus

03/20/21

What is the limit as x approaches infinity of (1 + x + 2x^5)/(x^5 - 5x^2 +1) ?
What is the limit as x approaches infinity of (1 + x + 2x^5)/(x^5 - 5x^2 +1) ?
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Expert Answers •1
Calculus Iii Math Calculus Precalculus

03/20/21

By using the correct theorems show that 3 x - 4 = cos has at least one real root and at most one real root
Consider the equation 3 x − 4 = cosx. Please show (by referring to the correct Theorems and verifying that their assumptions are satsified!) that the equation has(a) at least one real root.(b) at... more
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Expert Answers •1
Calculus Iii Math Calculus Precalculus

03/20/21

A rectangular storage container with an open top is to have a volume of 10 m^3 . The length of its base is three times the width. Material for the base costs $10 per square meter.

A rectangular storage container with an open top is to have a volume of 10 m^3. The length of its base is three times the width. Material for the base costs $10 per square meter. Material for the... more
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Expert Answers •2
Calculus Iii Math Calculus Precalculus

03/20/21

Find the function f whose 2nd derivative is f ' ' (x) = x^3 + 2x^2 + 4 and which has the boundary values f (0) = 1, and f (1) = 3
Find the function f whose 2nd derivative is f ' ' (x) = x^3 + 2x^2 + 4 and which has the boundary values f (0) = 1, and f (1) = 3
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Expert Answers •2
Calculus Iii Math Calculus Trigonometry

03/20/21

Use Newton’s Method to approximate the positive zero of 2 sin x = x − 2 correctly to six decimal places
Use Newton’s Method to approximate the positive zero of 2sinx = x − 2 correctly to six decimal places
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Calculus Iii Math Calculus Precalculus

03/20/21

Why does (x+ 1)/(1 +x^2) for x ∈ [0,4] have both an absolute min and max on [0,2] and determine the absolute extrema on [0,2].

Consider the function f (x) := (x+ 1)/(1 +x^2) for x ∈ [0,4].(a)Why does f possess both an absolute maximum and an absolute minimum on the interval[0,2]?(b)Please determine the absolute extrema of... more
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