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cal 3. answer a-f please. Some of the gradient vectors of a smooth function shown in...
cal 3. Answer a-d please Vectors a, b,e, and w are shown in the diagrams below...
cal 3. Answer a-d please
Vectors a, b,e, and w are shown in the diagrams below (the diagrams are identical) all lie in the plane 24x+17y-103z=58, and wis a unit vector. a. 5pts Arrange in increasing order: a w, b w, c w Explain: W b. 3 pts Is (B-2)-w positive, negative, ob approximately zero? Explain or c. 5pts Arrange in increasing order: äx wl, |bx, |äx| Explain: d. 3 pts Find a vector that is parallel to bxw. Explain....
Answer all parts please. (calculus/contour/gradient/max/min) The figure to the right shows the contours of a smooth fun...
Answer all parts please. (calculus/contour/gradient/max/min)
The figure to the right shows the contours of a smooth function z = f(x,y) . a. 2 pes Label a point A on the contour graph where the gradient ofpoints in the same direction as-i+j. b. 2ps Label a point M on the contour graph where lgrad appears to be largest c. 4 pts Estimate the locations and values of the maximum and minimum of f(x, y) subject to the triangular constraint x+ys8, x20,...
Multivariable Calculus Question 3. (2 pts) The contour diagram for a function, f(x, y) is shown below. Estimate the length of the gradient at point P. Be sure to show or explain your reasoning. 2....
Multivariable Calculus Question
3. (2 pts) The contour diagram for a function, f(x, y) is shown below. Estimate the length of the gradient at point P. Be sure to show or explain your reasoning. 2.4 1.6 pe 0.8 0.8 1.6 2.4 24 1.60.80.8 16 24 2.4
3. (2 pts) The contour diagram for a function, f(x, y) is shown below. Estimate the length of the gradient at point P. Be sure to show or explain your reasoning. 2.4 1.6 pe...
Can someone please help explain this problem Find the critical numbers of f(x) . x.a- 0.3....
Can someone please help explain this problem
Find the critical numbers of f(x) . x.a- 0.3. 12 12 12 0.4,7 0,3, 12 0,3, 12 10. pts A) B The graph of a function y-f) is shown. At which V point(s) are the following true? (a) and are both positive. dx dx dy 0) dand dr are both negative (C) dx is negative but d? is positive. f(A dy g (x) HINT of the curve at that point
please show all the steps 15.5.37 Question Help A function f and a point P are given. Let θ correspond to the direction of the directional derivative. Complete parts (a) through (e) #x,y)-10-4x2-3y2...
please show all the steps
15.5.37 Question Help A function f and a point P are given. Let θ correspond to the direction of the directional derivative. Complete parts (a) through (e) #x,y)-10-4x2-3y2, P(3,4) a. Find the gradient and evaluate it at P The gradient at P is b Find the angles θ with respect to the positive x-axis associated with the directions of maximum increase, maximum decrease, and zero change What angle(s) is/are associated with the direction of maximum...
Calculus III 1) Identify each of the following surfaces: а) z' %3x? - 5у" b) z...
Calculus III
1) Identify each of the following surfaces: а) z' %3x? - 5у" b) z 4x2-4 y c) z2+3x2-5y = 4 d) z2x23-5y e) у3х* 2) Find and classify all of the critical points for f(x, y)=xy -x2 + y'. 3) Find the maximum and minimum values of f(x,y)=xy over the ellipse х* + 2y %3D1. 4) Let fx, y) x3 -cosy a) Find the first order Taylor polynomial for f(x,y) based at (1,7). b) Find the sccond order...
A long, straight wire of radius a = 2.0 cm is located along the z-axis and...
A long, straight wire of radius a = 2.0 cm is located along the z-axis and carries a current I1 = 2.1 A in the negative 2-direction. A cylindrical conducting shell of inner radius b= 4.0 cm and outer radius c = 5.7 cm coaxial with the wire carries a uniformly distributed current 12 = 7.1 A in the positive z-direction as shown. Figure 1: (a) What are the r- and y-components of the magnetic field at point A located...
I need help with all these please! Thanks! 1. Two identical metal balls are suspended by...
I need help with all these please! Thanks!
1. Two identical metal balls are suspended by insulating threads. Both balls have the same net charge. In this problem, do not assume the balls are point charges Ball 2 a. Draw a separate free-body diagram for each ball. Label the forces to indicate: . the object exerting the force, the object on which the force is exerted, • the type of force (gravitational, normal etc.), and • whether the force is...
In red, are the answers, please show the work for each:) 1. Two particles with charges,...
In red, are the answers, please
show the work for each:)
1. Two particles with charges, q 3 x 106 C and q2 12 x 106 C, are located along the x-axis at positions with coordinates (0, 0) and (4, 0) m respectively. All distances are n meters. (a) At what point along the x-axis, other than infinity, should a third charge q3 5 x 10 C be placed such that the net electric force on it is zero? (b)...
answer both please 3. (10 pts.) One often forgets the curl has a physical meaning. The...
answer both please
3. (10 pts.) One often forgets the curl has a physical meaning. The curl operator differs from the divergence field to produce another field. Since vectors are more operator in that it acts on a_ complicated than scalars it is important to understand the purpose of the curl operator. Let E (r.y, :) be some electric field. The mathematical expression for the curl of is written as ex ey e .az _ ax)s+(a --dy)互 az广ㄨ oy The...
cal 3. Answer a-d please
Vectors a, b,e, and w are shown in the diagrams below (the diagrams are identical) all lie in the plane 24x+17y-103z=58, and wis a unit vector. a. 5pts Arrange in increasing order: a w, b w, c w Explain: W b. 3 pts Is (B-2)-w positive, negative, ob approximately zero? Explain or c. 5pts Arrange in increasing order: äx wl, |bx, |äx| Explain: d. 3 pts Find a vector that is parallel to bxw. Explain....
Answer all parts please. (calculus/contour/gradient/max/min)
The figure to the right shows the contours of a smooth function z = f(x,y) . a. 2 pes Label a point A on the contour graph where the gradient ofpoints in the same direction as-i+j. b. 2ps Label a point M on the contour graph where lgrad appears to be largest c. 4 pts Estimate the locations and values of the maximum and minimum of f(x, y) subject to the triangular constraint x+ys8, x20,...
Multivariable Calculus Question
3. (2 pts) The contour diagram for a function, f(x, y) is shown below. Estimate the length of the gradient at point P. Be sure to show or explain your reasoning. 2.4 1.6 pe 0.8 0.8 1.6 2.4 24 1.60.80.8 16 24 2.4
3. (2 pts) The contour diagram for a function, f(x, y) is shown below. Estimate the length of the gradient at point P. Be sure to show or explain your reasoning. 2.4 1.6 pe...
Can someone please help explain this problem
Find the critical numbers of f(x) . x.a- 0.3. 12 12 12 0.4,7 0,3, 12 0,3, 12 10. pts A) B The graph of a function y-f) is shown. At which V point(s) are the following true? (a) and are both positive. dx dx dy 0) dand dr are both negative (C) dx is negative but d? is positive. f(A dy g (x) HINT of the curve at that point
please show all the steps
15.5.37 Question Help A function f and a point P are given. Let θ correspond to the direction of the directional derivative. Complete parts (a) through (e) #x,y)-10-4x2-3y2, P(3,4) a. Find the gradient and evaluate it at P The gradient at P is b Find the angles θ with respect to the positive x-axis associated with the directions of maximum increase, maximum decrease, and zero change What angle(s) is/are associated with the direction of maximum...
Calculus III
1) Identify each of the following surfaces: а) z' %3x? - 5у" b) z 4x2-4 y c) z2+3x2-5y = 4 d) z2x23-5y e) у3х* 2) Find and classify all of the critical points for f(x, y)=xy -x2 + y'. 3) Find the maximum and minimum values of f(x,y)=xy over the ellipse х* + 2y %3D1. 4) Let fx, y) x3 -cosy a) Find the first order Taylor polynomial for f(x,y) based at (1,7). b) Find the sccond order...
A long, straight wire of radius a = 2.0 cm is located along the z-axis and carries a current I1 = 2.1 A in the negative 2-direction. A cylindrical conducting shell of inner radius b= 4.0 cm and outer radius c = 5.7 cm coaxial with the wire carries a uniformly distributed current 12 = 7.1 A in the positive z-direction as shown. Figure 1: (a) What are the r- and y-components of the magnetic field at point A located...
I need help with all these please! Thanks!
1. Two identical metal balls are suspended by insulating threads. Both balls have the same net charge. In this problem, do not assume the balls are point charges Ball 2 a. Draw a separate free-body diagram for each ball. Label the forces to indicate: . the object exerting the force, the object on which the force is exerted, • the type of force (gravitational, normal etc.), and • whether the force is...
In red, are the answers, please
show the work for each:)
1. Two particles with charges, q 3 x 106 C and q2 12 x 106 C, are located along the x-axis at positions with coordinates (0, 0) and (4, 0) m respectively. All distances are n meters. (a) At what point along the x-axis, other than infinity, should a third charge q3 5 x 10 C be placed such that the net electric force on it is zero? (b)...
answer both please
3. (10 pts.) One often forgets the curl has a physical meaning. The curl operator differs from the divergence field to produce another field. Since vectors are more operator in that it acts on a_ complicated than scalars it is important to understand the purpose of the curl operator. Let E (r.y, :) be some electric field. The mathematical expression for the curl of is written as ex ey e .az _ ax)s+(a --dy)互 az广ㄨ oy The...
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