CALCULUS+ITS APPLICATIONS
12th Edition
ISBN: 9780135164884
Author: BITTINGER
Publisher: PEARSON
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Chapter B, Problem 20E
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Suppose that R(x) is a polynomial of degree 7 whose coefficients are real numbers.
Also, suppose that R(x) has the following zeros.
-1-4i, -3i, 5+i
Answer the following.
(a) Find another zero of R(x).
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Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers.
Also, suppose that R (x) has the following zeros.
-1-4i, -3i, 5+i
Answer the following.
(c) What is the maximum number of nonreal zeros that R (x) can have?
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Chapter B Solutions
CALCULUS+ITS APPLICATIONS
Ch. B - Prob. 1ECh. B - Evaluate each limit. Use lHĂ´pitals Rule when...Ch. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Evaluate each limit. Use lHĂ´pitals Rule when...Ch. B - Evaluate each limit. Use lHĂ´pitals Rule when...
Ch. B - Evaluate each limit. Use lHĂ´pitals Rule when...Ch. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Evaluate each limit. Use lHĂ´pitals Rule when...Ch. B - Evaluate each limit. Use lHĂ´pitals Rule when...Ch. B - Evaluate each limit. Use lHĂ´pitals Rule when...Ch. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Evaluate each limit. Use lHĂ´pitals Rule when...Ch. B - Evaluate each limit. Use lHĂ´pitals Rule when...Ch. B - Prob. 27ECh. B - Prob. 28ECh. B - Prob. 29ECh. B - Prob. 30ECh. B - Prob. 31ECh. B - Evaluate limx1x26xxCh. B - Evaluate limxx24xxx2+10xxCh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 38E
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- Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -1-4i, -3i, 5+i Answer the following. (b) What is the maximum number of real zeros that R (x) can have? ☐arrow_forwardi need help please dont use chat gptarrow_forward3.1 Limits 1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice. x+3° x+3* x+3 (a) Is 5 (c) Does not exist (b) is 6 (d) is infinitearrow_forward
- 1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is Question 1 -0.246 0.072 -0.934 0.478 -0.914 -0.855 0.710 0.262 .arrow_forward2. Answer the following questions. (A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity Vx (VF) V(V •F) - V²F (B) [50%] Remark. You are confined to use the differential identities. Let u and v be scalar fields, and F be a vector field given by F = (Vu) x (Vv) (i) Show that F is solenoidal (or incompressible). (ii) Show that G = (uvv – vVu) is a vector potential for F.arrow_forwardA driver is traveling along a straight road when a buffalo runs into the street. This driver has a reaction time of 0.75 seconds. When the driver sees the buffalo he is traveling at 44 ft/s, his car can decelerate at 2 ft/s^2 when the brakes are applied. What is the stopping distance between when the driver first saw the buffalo, to when the car stops.arrow_forward
- Topic 2 Evaluate S x dx, using u-substitution. Then find the integral using 1-x2 trigonometric substitution. Discuss the results! Topic 3 Explain what an elementary anti-derivative is. Then consider the following ex integrals: fed dx x 1 Sdx In x Joseph Liouville proved that the first integral does not have an elementary anti- derivative Use this fact to prove that the second integral does not have an elementary anti-derivative. (hint: use an appropriate u-substitution!)arrow_forward1. Given the vector field F(x, y, z) = -xi, verify the relation 1 V.F(0,0,0) = lim 0+ volume inside Se ff F• Nds SE where SE is the surface enclosing a cube centred at the origin and having edges of length 2€. Then, determine if the origin is sink or source.arrow_forward4 3 2 -5 4-3 -2 -1 1 2 3 4 5 12 23 -4 The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)arrow_forward
- Question 4 The plot below represents the function f(x) 8 7 3 pts O -4-3-2-1 6 5 4 3 2 + 1 2 3 5 -2+ Evaluate f(3) f(3) = Solve f(x) = 3 x= Question 5arrow_forwardQuestion 14 6+ 5 4 3 2 -8-2 2 3 4 5 6 + 2 3 4 -5 -6 The graph above is a transformation of the function f(x) = |x| Write an equation for the function graphed above g(x) =arrow_forwardQuestion 8 Use the graph of f to evaluate the following: 6 f(x) 5 4 3 2 1 -1 1 2 3 4 5 -1 t The average rate of change of f from 4 to 5 = Question 9 10 ☑ 4parrow_forward
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