University Calculus
3rd Edition
ISBN: 9780134175706
Author: Unknown
Publisher: PEARSON
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Chapter 13.6, Problem 1E
(a)
To determine
Determine the equation of the tangent plane at point
(b)
To determine
Determine the equation of the normal line at point
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3. f(7)
3. Find the domain of each of the following functions.
1
1. f(x)=2-6x+8
2. f(x)=√√7-x
4. A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for each unit produced. The product sells for $12
per unit.
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- 8. On what intervals, each function continuous? (a) f(x) = 3x11 + 4x²+1 3x²+5x-1 (b) g(x) = x²-4 X, x < 1, QTs the function f(x) continuous at = 1? Use the definition of continuity to justifyarrow_forwardreview problem please help!arrow_forwardSolve y"-2y+26y= 0, y(0) = 2, y'(0) = -13 y(t) =arrow_forward
- Evaluate the integral using integration by parts. 150 sec 20arrow_forwardEvaluate the integral using integration by parts. Stan (13y)dyarrow_forward3. Consider the sequences of functions f₁: [-π, π] → R, sin(n²x) An(2) n f pointwise as (i) Find a function ƒ : [-T,π] → R such that fn n∞. Further, show that fn →f uniformly on [-π,π] as n → ∞. [20 Marks] (ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7, 7]? Justify your answer. [10 Marks]arrow_forward
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