Pearson eText Calculus: Early Transcendentals -- Instant Access (Pearson+)
3rd Edition
ISBN: 9780136880677
Author: William Briggs
Publisher: PEARSON+
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Chapter 5.3, Problem 8E
Why can the constant of
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Find the area of a triangle PQR, where P = (-5,6, -1), Q = (1, -3, -2), and R = (-5, -1,4)
17. [-/1 Points]
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SESSCALCET2 6.2.050.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
du
4√3-
-4²
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18. [-/1 Points] DETAILS
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SESSCALCET2 6.2.051.
Evaluate the integral. (Use C for the constant of integration.)
-
49
dx
x²
+3
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19. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.2.057.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
25+ x2
dx
Let (5,3,-7) and = (2, -3, -6).
=
Compute the following:
u× u =
-4(u xv)
ux (-4v)
(+v) × v=
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- Let a = (4, -2, -7) and 6 = (2,5, 3). (ã − ò) × (ã + b) =arrow_forwardUse the graph of the function y = f (x) to find the value, if possible. f(x) 8 7 6 Q5 y 3 2 1 x -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 -1 -2 -3 -4 -5 -6 -7 -8+ Olim f(z) x-1+ O Limit does not exist.arrow_forwardIf h(x) = -2x-8 49x2-9 what is lim h(x)? x--00arrow_forward
- Question Find the following limit. Select the correct answer below: ○ 0 ○ 3 ○ 6 ∞ 6x + 3e lim 00+2 x 2arrow_forwardWhat is the limit as x → ∞ of t(x) = = √81x2 -3x+5arrow_forwardConsider the graphs of y = f(x) and y = g(x) in the given diagram y= f(x). y = g(x) Evaluate (f+g)(2) -5 Determine all for which g(x) < f(x) Determine all for which f(x) +3 = g(x)arrow_forward
- I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals. K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.arrow_forwardneed help on Barrow_forward4. Use the properties of limits to help decide whether each limit exists. If a limit exists, fi lim (2x²-4x+5) a) x-4 b) lim 2 x²-16 x-4x+2x-8arrow_forward
- 7. The concentration of a drug in a patient's bloodstream h hours after it was injected is given by 0.17 h Ah= h²+2' Find and interpret lim A(h). Remember, the answers to word problems should always be given in a complete h→00 sentence, with proper units, in the context of the problem.arrow_forward#2arrow_forward2. We want to find the inverse of f(x) = (x+3)² a. On the graph at right, sketch f(x). (Hint: use what you know about transformations!) (2 points) b. What domain should we choose to get only the part of f (x) that is one- to-one and non-decreasing? Give your answer in inequality notation. (2 points) - c. Now use algebra to find f¯¹ (x). (2 points) -4- 3- 2 1 -4 -3 -2 -1 0 1 -1- -2- --3- -4 -N- 2 3 4arrow_forward
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