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Which vector points in the direction in which one should travel in order to experience the...
5. Which vector points in the direction in which one should travel in order to experience...
5. Which vector points in the direction in which one should travel in order to experience the greatest rate of change of the function g(x,y,z) = xy" + 5yz’if one is currently located at the point (3,2, 4) ? a)8î +116) +80 b) 2î - 129 + c) -71 -5j + 46k d)841+ -51 e) none of these
15. Which triple integral represents the volume of the solid bounded by the plane whose equation...
15. Which triple integral represents the volume of the solid bounded by the plane whose equation is z = 25 and the surface whose equation is f(x, y) = x + y2 -11? /23-8 a) ſ dzdydx b)] ſ dzdydk coj į ſ dadyd $ $ 25 -5 6 Views 25 d)S I ſ dzdydx e) none of these
18. Which double integral represents the volume under the graph of f(x,y) = 5x'e' and above...
18. Which double integral represents the volume under the graph of f(x,y) = 5x'e' and above the region in the xy plane bounded by the graphs of x = 0, y = 0, and 3x + y = 6 ? a)S Sx*e" dydx b)S 5x’edydx S S dydx d'S S dydxe) none of these 2 6-3x 25 65xle 0 0 0 0 0 0 0 0
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (...
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (1, 0, 0) to (1,0, 0), then to (-1,3, 0). Curve C1 is only half of the circle2 Curve C2 is a straight-line segment. The parametric equation for G is G: r! (t)-cos t î + sin t k, 0 π Find the line integral: Jcf(x. y,z)ds - (25 points) C2 (-1,3,0)
Question 2 (30 points) Integrate...
there is first question E then there is the question of the value of the line integral ,then quwstion A, then question 1, and the last two pictures are one question Question E...
there is first question E then there is the question
of the value of the line integral ,then quwstion A, then question
1, and the last two pictures are one question
Question E (5 points) By Green's theorem, the value of the line integral y 4 is: , where C is the curve given by a) 3 c) 12t d) 27T e) If none of the above is correct, write your answer here in a box rover the line segment...
16) 16. Which of the following represents y as a one-to-one function of x? A) y...
16) 16. Which of the following represents y as a one-to-one function of x? A) y = x+ B) y = x3 C) {(3,4),(4,5),(5,6), (6,6)} D) x = y2 E) None of the Above x+3 (x-1)(x-3)? 17) 17. Which best describes the intercepts for the graph of g(x) = A) x-intercept at x = -3 and y-intercept at y = 1 B) x-intercepts at x = 1 and x = 3 and y-intercept at y = -3 C) x-intercepts at...
e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) i...
e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) is A. z + y = e2 B. I+y e C. z+y 3. D. None of the above (7) 2 points The gradient of f(z,y, z) = ep at the point (-1,-1,2) is A. (2e2,e2,2e2). B. (-e,-e,2e2). C. (-2e2,-2e2, e) D. (-2e2,-e,-e) (8) 2 points Let f be a function defined and continuous, with continuous first...
Please answer a,b and d(most important) . TQ (BEKG 2443) PART B: ANSWER ONE QUESTION ONLY...
Please answer a,b and d(most important) . TQ
(BEKG 2443) PART B: ANSWER ONE QUESTION ONLY QUESTION 4 Given S is a surface for a part of the sphere x2 + y2 + x2 = 4 that lies above the cone z = √ x² + y² (a) Find a parametric representation for the surface S in terms of 6 and 0. Then, determine the domain of O and e. (5 marks) (b) Based on the expression written in (a),...
NO.25 in 16.7 and NO.12 in 16.9 please. For the vector fied than the vecto and outgoing arrows. Her can use the formula for F to confirm t n rigtppors that the veciors that end near P, are shorter rs...
NO.25 in 16.7 and NO.12 in
16.9 please.
For the vector fied than the vecto and outgoing arrows. Her can use the formula for F to confirm t n rigtppors that the veciors that end near P, are shorter rs that start near p, İhus the net aow is outward near Pi, so div F(P) > 0 Pi is a source. Near Pa, on the other hand, the incoming arrows are longer than the e the net flow is inward,...
28, 36, 38, 40, 41 15.1 Graphs and Level Curves 927 (a) Figure 15.18 SECTION 15.1...
28,
36, 38, 40, 41
15.1 Graphs and Level Curves 927 (a) Figure 15.18 SECTION 15.1 EXERCISES 10. Katie and Zeke are standing on the surface above D(1,0). Katie hikes on the surface above the level curve containing D(1,0) o B(2.1) and Zeke walks cast along the surface to E(2. 0). What can Getting Started y-y dentify the independent 1. A function is defined by and dependent variables. be said about the elevations of Katie and Zeke during their hikes?...
5. Which vector points in the direction in which one should travel in order to experience the greatest rate of change of the function g(x,y,z) = xy" + 5yz’if one is currently located at the point (3,2, 4) ? a)8î +116) +80 b) 2î - 129 + c) -71 -5j + 46k d)841+ -51 e) none of these
15. Which triple integral represents the volume of the solid bounded by the plane whose equation is z = 25 and the surface whose equation is f(x, y) = x + y2 -11? /23-8 a) ſ dzdydx b)] ſ dzdydk coj į ſ dadyd $ $ 25 -5 6 Views 25 d)S I ſ dzdydx e) none of these
18. Which double integral represents the volume under the graph of f(x,y) = 5x'e' and above the region in the xy plane bounded by the graphs of x = 0, y = 0, and 3x + y = 6 ? a)S Sx*e" dydx b)S 5x’edydx S S dydx d'S S dydxe) none of these 2 6-3x 25 65xle 0 0 0 0 0 0 0 0
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (1, 0, 0) to (1,0, 0), then to (-1,3, 0). Curve C1 is only half of the circle2 Curve C2 is a straight-line segment. The parametric equation for G is G: r! (t)-cos t î + sin t k, 0 π Find the line integral: Jcf(x. y,z)ds - (25 points) C2 (-1,3,0)
Question 2 (30 points) Integrate...
there is first question E then there is the question
of the value of the line integral ,then quwstion A, then question
1, and the last two pictures are one question
Question E (5 points) By Green's theorem, the value of the line integral y 4 is: , where C is the curve given by a) 3 c) 12t d) 27T e) If none of the above is correct, write your answer here in a box rover the line segment...
16) 16. Which of the following represents y as a one-to-one function of x? A) y = x+ B) y = x3 C) {(3,4),(4,5),(5,6), (6,6)} D) x = y2 E) None of the Above x+3 (x-1)(x-3)? 17) 17. Which best describes the intercepts for the graph of g(x) = A) x-intercept at x = -3 and y-intercept at y = 1 B) x-intercepts at x = 1 and x = 3 and y-intercept at y = -3 C) x-intercepts at...
e 09, 201 (6) 2 points An equation for the level curve of f(z, y) = In(z+y) that passes through the point (0, e2) is A. z + y = e2 B. I+y e C. z+y 3. D. None of the above (7) 2 points The gradient of f(z,y, z) = ep at the point (-1,-1,2) is A. (2e2,e2,2e2). B. (-e,-e,2e2). C. (-2e2,-2e2, e) D. (-2e2,-e,-e) (8) 2 points Let f be a function defined and continuous, with continuous first...
Please answer a,b and d(most important) . TQ
(BEKG 2443) PART B: ANSWER ONE QUESTION ONLY QUESTION 4 Given S is a surface for a part of the sphere x2 + y2 + x2 = 4 that lies above the cone z = √ x² + y² (a) Find a parametric representation for the surface S in terms of 6 and 0. Then, determine the domain of O and e. (5 marks) (b) Based on the expression written in (a),...
NO.25 in 16.7 and NO.12 in
16.9 please.
For the vector fied than the vecto and outgoing arrows. Her can use the formula for F to confirm t n rigtppors that the veciors that end near P, are shorter rs that start near p, İhus the net aow is outward near Pi, so div F(P) > 0 Pi is a source. Near Pa, on the other hand, the incoming arrows are longer than the e the net flow is inward,...
28,
36, 38, 40, 41
15.1 Graphs and Level Curves 927 (a) Figure 15.18 SECTION 15.1 EXERCISES 10. Katie and Zeke are standing on the surface above D(1,0). Katie hikes on the surface above the level curve containing D(1,0) o B(2.1) and Zeke walks cast along the surface to E(2. 0). What can Getting Started y-y dentify the independent 1. A function is defined by and dependent variables. be said about the elevations of Katie and Zeke during their hikes?...
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