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study help
mathematics
precalculus
Calculus Of A Single Variable 11th Edition Ron Larson, Bruce H. Edwards - Solutions
Find the angle θ between the vectors(a) In radians(b) In degrees. u = COS π 6 cos (³77) 1 + sin(347) J i 4 π i + sin j, v = cos 6
Find(a) u x v,(b) v x u,(c) v x v.u = 〈2, 1, -9〉v = 〈-6, -2, -1〉
Convert the point from rectangular coordinates to cylindrical coordinates.(6, 2√3, -1)
Find the angle θ between the vectors(a) In radians(b) In degrees.u = 〈1, 1〉, v = 〈2, -2〉
Find u x v and show that it is orthogonal to both u and v.u = 〈4, -1, 0〉v = 〈-6, 3, 0〉
Find the angle θ between the vectors(a) In radians(b) In degrees.u = 〈3, 1〉, v = 〈2, -1〉
Find u x v and show that it is orthogonal to both u and v.u = 〈-5, 2, 2〉v = 〈0, 1, 8〉
Find the angle θ between the vectors(a) In radians(b) In degrees.u = 3i + j, v = -2i + 4j
Describe and sketch the surface.y2 - z2 = 25
Find the angle θ between the vectors(a) In radians(b) In degrees.u = 〈1, 1, 1〉, v = 〈2, 1, -1〉
Find the angle θ between the vectors(a) In radians(b) In degrees.u = 3i + 2j + k, v = 2i - 3j
Find the angle θ between the vectors(a) In radians(b) In degrees.u = 3i + 4j, v = -2j + 3k
Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.z = x2 + y2 - 11
Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.x2 + y2 - 2z2 = 5
Find the angle θ between the vectors(a) In radians(b) In degrees.u = 2i - 3j + k, v = i - 2j + k
Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.y = x2
Classify and sketch the quadric surface. Use a computer algebra system or a graphing utility to confirm your sketch.x2 - y2 + z = 0
Classify and sketch the quadric surface. Use a computer algebra system or a graphing utility to confirm your sketch.3z = - y2 + x2
Find an equation in rectangular coordinates for the surface represented by the cylindrical equation, and sketch its graph.θ = π/6
Find an equation in rectangular coordinates for the surface represented by the cylindrical equation, and sketch its graph.z = -2
Classify and sketch the quadric surface. Use a computer algebra system or a graphing utility to confirm your sketch.x2 = 2y2 + 2z2
Find an equation in rectangular coordinates for the surface represented by the cylindrical equation, and sketch its graph.r = 1/2z
Find an equation in rectangular coordinates for the surface represented by the cylindrical equation, and sketch its graph.z = r2 cos2 θ
Find u · (v x w).u = 〈1, 1, 1〉v = 〈2, 1, 0〉w = 〈0, 0, 1〉
Find the direction cosines and angles of u and show that cos2 α + cos2 β + cos2 ϒ = 1.u = 7i + j - k
The lights in an auditorium are 24-pound discs of radius 18 inches. Each disc is supported by three equally spaced cables that are L inches long (see figure).(a) Write the tension T in each cable as a function of L. Determine the domain of the function.(b) Use a graphing utility and the function in
Forces with magnitudes of 180 newtons and 275 newtons act on a hook (see figure). The angle between the two forces is θ degrees.(a) When θ = 30°, find the direction and magnitude of the resultant force.(b) Write the magnitude M and direction α of the resultant force as functions of θ, where
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.If a = b, then ∥ai + bj∥ = √2a.
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.If v = ai + bj = 0, then a = -b.
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The velocity of a bicycle is a vector.
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The temperature of your blood is a scalar.
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The mass of a book is a scalar.
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The weight of a car is a scalar.
Find the magnitude of v.v = 〈-1, 0, 1〉
Find a and b such that v = au + bw, where u = 〈1, 2〉 and w = 〈1,-1〉.v = 〈-1, 8〉
Determine which of the vectors is/are parallel to z. Use a graphing utility to confirm your results.z has initial point (1, -1, 3) and terminal point (-2, 3, 5).(a) -6i + 8j + 4k (b) 4j + 2k
Find a and b such that v = au + bw, where u = 〈1, 2〉 and w = 〈1,-1〉.v = 〈1, -3〉
Find the following.u = 〈0, 1〉, v = 〈3,-3〉 (a) |u| (d) ' (b) |||| (e) ਗ V (c) [u + v| (f) u + v u +
Find a and b such that v = au + bw, where u = 〈1, 2〉 and w = 〈1,-1〉.v = 〈0, 6〉
Find the following.u = 〈2, -4〉, v = 〈5,5〉 (a) |u| (d) ' (b) |||| (e) ਗ V (c) [u + v| (f) u + v u +
Find a and b such that v = au + bw, where u = 〈1, 2〉 and w = 〈1,-1〉.v = 〈-6, 0〉
Find a and b such that v = au + bw, where u = 〈1, 2〉 and w = 〈1,-1〉.v = 〈-7, -2〉
Find the following.u = 〈1, -1〉, v = 〈-1, 2〉 (a) |u| (d) ' (b) |||| (e) ਗ V (c) [u + v| (f) u + v u +
Find the following.u = 〈1, 1/2〉, v = 〈2, 3〉 (a) |u| (d) ' (b) |||| (e) ਗ V (c) [u + v| (f) u + v u +
Find a and b such that v = au + bw, where u = 〈1, 2〉 and w = 〈1,-1〉.v = 〈4, 5〉
Find the component form and magnitude of the vector v with the given initial and terminal points. Then find a unit vector in the direction of v.Initial point: (1, -2, 0)Terminal point: (1, -2, -3)
Use the figure to sketch a graph of the vector. To print an enlarged copy of the graph, go to MathGraphs.com.-v y n X
Find the component form and magnitude of the vector v with the given initial and terminal points. Then find a unit vector in the direction of v.Initial point: (4, 2, 0)Terminal point: (0, 5, 2)
Use the figure to sketch a graph of the vector. To print an enlarged copy of the graph, go to MathGraphs.com.u + 2v y n X
Use the figure to sketch a graph of the vector. To print an enlarged copy of the graph, go to MathGraphs.com.u - v y n X
Use the figure to sketch a graph of the vector. To print an enlarged copy of the graph, go to MathGraphs.com.-u y n X
Find the standard equation of the sphere with the given characteristics.Center: (-4, 0, 0), tangent to the yz-plane
Use the figure to sketch a graph of the vector. To print an enlarged copy of the graph, go to MathGraphs.com.1/2v y n X
Find the standard equation of the sphere with the given characteristics.Center: (-7, 7, 6), tangent to the xy-plane
Use the figure to sketch a graph of the vector. To print an enlarged copy of the graph, go to MathGraphs.com.2u y n X
Find the standard equation of the sphere with the given characteristics.Endpoints of a diameter: (-2, 4, -5), (-4, 0, 3)
Find the standard equation of the sphere with the given characteristics.Endpoints of a diameter: (2, 1, 3), (1, 3, -1)
Find the standard equation of the sphere with the given characteristics.Center: (-1, -5, 8); Radius: 5
Find the standard equation of the sphere with the given characteristics.Center: (7, 1, -2); Radius: 1
Find(a) 2/3u, (b) 3v, (c) v - u,(d) 2u + 5v.u = 〈-3, -8〉, v = 〈8, 7〉
Find the distance between the points.(-3, 7, 1), (-5, 8, -4)
Find(a) 2/3u, (b) 3v, (c) v - u,(d) 2u + 5v.u = 〈4, 9〉, v = 〈2, -5〉
Find the distance between the points.(0, 2, 4), (3, 2, 8)
Find the distance between the points.(-1, 1, 1), (-3, 5, -3)
Find the distance between the points.(4, 1, 5), (8, 2, 6)
Find the magnitude of v.v = 3i + 3j
Find the magnitude of v.v = -i - 5j
Find the magnitude of v.v = 〈-24, 7〉
Find the magnitude of v.v = 〈8, 15〉
Find the magnitude of v.v = - 9j
(a) Find the component form of the vector v(b) Sketch the vector with its initial point at the origin. 4 3 نیا 2 1 -1+ (5, 4) (1, 2) ++ + 1 2 3 4 5 X
(a) Sketch the given directed line segment.(b) Write the vector in component form.(c) Write the vector as the linear combination of the standard unit vectors i and j.(d) Sketch the vector with its initial point at the origin. Terminal Initial Point Point (2,0) (5,5)
(a) Sketch the given directed line segment.(b) Write the vector in component form.(c) Write the vector as the linear combination of the standard unit vectors i and j.(d) Sketch the vector with its initial point at the origin. Initial Point (0.12, 0.60) Terminal Point (0.84, 1.25)
(a) Sketch the given directed line segment.(b) Write the vector in component form.(c) Write the vector as the linear combination of the standard unit vectors i and j.(d) Sketch the vector with its initial point at the origin. Initial Point (4, -6) Terminal Point (3,6)
Determine the location of a point (x, y, z) that satisfies the condition(s).z = -5
Determine the location of a point (x, y, z) that satisfies the condition(s).y = 6
Determine the location of a point (x, y, z) that satisfies the condition(s).z = 1
Describe the graph of x = 4 on(a) The number line,(b) The two-dimensional coordinate system,(c) The three-dimensional coordinate system.
The rectangular coordinates of a point are given. Plot the point and find two sets of polar coordinates for the point for 0 = θ < 2π.(4, -4)
What is the y-coordinate of any point in the xz-plane?
Two points and a vector are given. Determine which point is the initial point and which point is the terminal point. Explain. P(2, -1), Q(-4, 6), and v = 〈6, -7〉
Match the equation with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f ).]4x2 - y2 = 4 (a) (c) (e) 4 2 -2 + y N 2 Y -4 -2 4 4 +a 4 HỘP -4 2 4 X X X (b) (d) -12 -8 -4 -2 -2 + 6 t 2 -4 y 2 4 2 4 X X
Match the equation with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f ).]4x2 + y2 = 4 (a) (c) (e) 4 2 -2 + y N 2 Y -4 -2 4 4 +a 4 HỘP -4 2 4 X X X (b) (d) -12 -8 -4 -2 -2 + 6 t 2 -4 y 2 4 2 4 X X
Match the equation with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f ).]y2 = -4x (a) (c) (e) 4 2 -2 + y N 2 Y -4 -2 4 4 +a 4 HỘP -4 2 4 X X X (b) (d) -12 -8 -4 -2 -2 + 6 t 2 -4 y 2 4 2 4 X X
Match the equation with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f ).]y2 - 4x2 = 4 (a) (c) (e) 4 2 -2 + y N 2 Y -4 -2 4 4 +a 4 HỘP -4 2 4 X X X (b) (d) -12 -8 -4 -2 -2 + 6 t 2 -4 y 2 4 2 4 X X
Match the equation with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f ).]x2 + 4y2 = 4 (a) (c) (e) 4 2 -2 + y N 2 Y -4 -2 4 4 +a 4 HỘP -4 2 4 X X X (b) (d) -12 -8 -4 -2 -2 + 6 t 2 -4 y 2 4 2 4 X X
Match the equation with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f ).]x2 = 4y (a) (c) (e) 4 2 -2 + y N 2 Y -4 -2 4 4 +a 4 HỘP -4 2 4 X X X (b) (d) -12 -8 -4 -2 -2 + 6 t 2 -4 y 2 4 2 4 X X
Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix, and asymptotes, if possible), and sketch its graph. Use a graphing utility to confirm your results.x2 + y2 - 2x - 8y - 8 = 0
Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix, and asymptotes, if possible), and sketch its graph. Use a graphing utility to confirm your results.x2 + 10x - 12y + 13 = 0
Identify the conic, analyze the equation (center, radius, vertices, foci, eccentricity, directrix, and asymptotes, if possible), and sketch its graph. Use a graphing utility to confirm your results.-4x2 + 3y2 - 16x - 18y + 10 = 0
Consider the ellipse(a) Find the area of the region bounded by the ellipse.(b) Find the volume of the solid generated by revolving the region about its major axis. X 25 9 + || 1.
Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. Parametric Equations x = 1 + 6t, y = 4 - 5t Parameter 1 = 3
Find the standard form of the equation of the parabola with the given characteristics.Vertex: (7, 0)Directrix: x = 5
Find the standard form of the equation of the parabola with the given characteristics.Vertex: (2, 6)Focus: (2, 4)
Find the standard form of the equation of the ellipse with the given characteristics.Center: (0, 1)Focus: (4, 1)Vertex: (6, 1)
Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. Parametric Equations x = cos¹ 0, y = sin¹0 Parameter 0 = T 3
Find the standard form of the equation of the ellipse with the given characteristics.Center: (0, 0)Major axis: verticalPoints on the ellipse: (1, 2), (2, 0)
Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. Parametric Equations x=1-6, y = 1² Parameter 1 = 5
Find the standard form of the equation of the ellipse with the given characteristics.Vertices: (3, 1), (3, 7)Eccentricity: 2/3
Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. Parametric Equations x = ²/3 y = p Parameter t = -2
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