Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Q: why do you think the limit of a constant is still the constant ?
A: See attached file for a step by step explanation.
Q: Evaluate the limit A. ƒ(x) = 5x + 2 at x = 3 x²-9 B. f(x) at x = 3 x-3
A: A. f(x)=5x+2B. f(x)=x2-9x-3
Q: Given that f(3) -2 and f'(3) = 4, estimate f(3.5) using a linear approximation.
A:
Q: Find the limits x2 – 4x + 8 lim I -00 3x
A: Given  We need to find the limit.
Q: Given q(x)=x2 −x−1, find the absolute maximum over the interval [−3,5].
A: We have to  find the absolute maximum of q(x) over the interval [−3,5].  Function is given below:
Q: If f'(x) = x - 2x-x +2, thenf has a relative minimum at x= -2 O0 0 O0
A:
Q: find the limit of rational function (a) as x→00 and (b) as x→ -o. 3x7 + 5x? – 1 f(x) 6x3 7x + 3 -
A: (a) Given f(x)=3x7+5x2-16x3-7x+3 For x→∞…
Q: Use the limit definition of the deriviative to find f'(x) if f (x) = 3x2 – 2x + 4
A:
Q: If a and b are positive numbers, find the maximum value of f(x) = xa(5 − x)b on the interval 0 ≤ x ≤…
A:
Q: By the use of local linear approximation of g at x=2, estimate g(-1.998) if g(-2)=-1 and g’(-2)=10
A: local linear approximation formula for g(x)g(x)=g(a)+g'(a)(x-a)
Q: Find the minimum value of xy, when p²x* + q²y* = r². %3D
A:
Q: Given f(x)= Vx– 5;x#5 and g(x)= x+3. Find the domain of (go fx)?
A:
Q: Given ScZand IS -a, what is the maximum value of x+y:x.YESAX+Y1?
A:
Q: Find the maximum of Q= xy if x+ y = 50. The maximum value of Q is Q =
A:
Q: find the interverse of the fuction f (x)= 2x + 3/x-4
A:
Q: Find the limits x* + x lim Xo 12x + 128
A: The limit gives the value towards which an expression converges as its variable approach to certain…
Q: Suppose that f(x, y) 3x + 3y* 2xy Then the minimum value of f is
A: We have to solve given problem:
Q: 8-4x2 11. f(x) = 9x +5x 2
A: Given: fx=8-4x29x2+5x To Find:  limx→∞ fx=?limx→-∞ fx=?
Q: find the limit of x^2/1-4x^2 as x approaches infinity
A:
Q: Find the absolute maximum value of y = x³-3x2 + 2 in the interval [-1,3]. (-1,-2) (0,2) O (1,0)…
A:
Q: Find the Limit 2 - V? 3b. lim 1-2 r + 2 - Va? + 4x + 4
A:
Q: Find the limits 2.1 2x + 3 lim Xo Sx + 7
A: To evaluate the limit: limx→∞2x+35x+7 Solution: limx→∞2x+35x+7 On simplifying further we get:…
Q: Find the maximum value of ƒ(x, y) = 49 - x2 - y2 on the line x + 3y = 10.
A:
Q: The region in the first quadrant bounded by the x-axis and f (x) = 3x – x² is
A: The graph of region bounded by curves y=3x-x^2 and x-axis is
Q: Show that f is linear of slope m if and only iff(x + h) - f(x) = mh (for all x and h)
A:
Q: The minimum value of Duf(x, y) is ||Vf(x, y)||. Select one: • True X False
A: A statement is given. We have to show that it is true or not.
Q: Suppose that f(æ, y) = e-2x² – 3y² + y Then the maximum is
A:
Q: Find the limit.
A: To evaluate the limit:limx→2xx2+1 Evaluating the limit. limx→2xx2+1=222+1=24+1=25
Q: at the one-dimensional and n are constants.
A:
Q: Find the relative minimum f(x,y)=288y2+x2-x2y
A: According to the given information it is requires to find the relative minimum of the function:
Q: Find the optimal values ​​of the function f (x, y) = 4xy + 5. Subject to the restriction x ^ 2 + y ^…
A: Consider the objective function as fx,y=4xy+5 subjected to restriction equation x2+y2=18. Let the…
Q: Consider f(x) = x4 – 8x3 + 18x². Investigate convexity/concavity, find all the inflection points.
A: Let f(x) be the given function.Then  f is convex on I if f "(x) >0 for all x in I f is concave…
Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.
A: Solution of given question is written in below steps.
Q: Find the limit. -4x+2 lim x- o 7x2+4 a. 1 b. 0 1 с. 4. d. -
A: We have to find the limx→∞−4x+27x2+4 If we substitute the limit, then it is of the form ∞∞ Apply…
Q: Find all points of discontinuity. g(x) = | x +3, if x>2 !! 8x, if x<2
A: Consider the provided function, g(x)=x2+3,   if x>28x,        if x<2 Find all the points of…
Q: What is the minimum of the function y = -x° + 3x for x <-1? -4 O-2 4. O 2
A:
Q: Vx² - 5x +1 a) lím V4x +3x
A: To find:- limx→∞x2-5x+14x2+3x
Q: Find the maximum of Q=xy if x+y= 56. The maximum value of Q is Q =
A: Given that x+y = 56 And Q = xy We have to find the maximum value of Q.
Q: Find the limit of f(x) = 9x+9/8x+8     as x approaches infinity and as x approaches negative…
A:
Q: Find the extreme values of f(x, y) = x² + y² .
A: The given function is f(x,y)=x2+y2. Find the extreme values of f(x,y)=x2+y2 as follows.
Q: Find the limit of (x^(2)-2x-8)/(x^(2)-5x+6) as x approaches 2 from the right
A: The given limit is,
Q: t is the absolute minimum value of h(x) = -2x² %3D
A: Solution of the problem as follows
Q: Sketch the region defined by the inequalities -1 < r< 2 and -T/2 < 0s T/2.
A:
Q: Given h(x)=−2x2 +x+1, find the absolute maximum over the interval [−3,3].
A: We have to find absolute maximum function  of h(x). h(x)  is given below
Q: Find the following limits: x²+y? lim (х,у)-(2,3) 3ху
A:
Q: Find the limit of f(x) = 4x+8/7x+3 as x approaches infinity and as x approaches negative infinity.
A:
Q: If f'(x) = x³ – 2x² – x + 2, then f has a relative minimum at x
A: f'(x)=x3-2x2-x+2, we have to find relative minimum of f.
Q: f(x)=X÷2x if x 23 3x ifx<3
A:
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Limits
When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…
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lim g(f(x))
x->-2

Find the limits. fx) = x + 7 g(x) = x2
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Transcribed Image Text:Find the limits. fx) = x + 7 g(x) = x2
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