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Given to the right is a contour diagram for a difereatiable functionh Use the diagram to answer t...
(1 point) Use the contour diagram for f(x, y) shown below to estimate the directional derivative...
(1 point) Use the contour diagram for f(x, y) shown below to estimate the directional derivative off in the direction v at the point P. (a) At the point P = (2, 2) in the direction ✓ = 7, the directional derivative is approximately O‘ot 16.0 18.0 12.0 14.0 2.0 (b) At the point P = (3, 2) in the direction ✓ = -1, the directional derivative is approximately 8.0 (c) At the point P = (4,1) in the direction...
3. (5 pts) Use the contour diagram of f in Figure below to decide if the...
3. (5 pts) Use the contour diagram of f in Figure below to decide if the specified directional derivative is positive, negative, or approximately zero Y 3 2 1 -2 3 1 2 3 -3 -2 -1 (a) At the point (-2,2), in direction i. (b) At the point (0,-2), in direction j (c) At the point (-1,1), in direction i+j. (d) At the point (-1,1), in direction -i+ j. (e) At the point (0, -2), in direction i- 2j.
Problem 6. (1 point) Use the contour diagram of f in the ligure below to decide...
Problem 6. (1 point) Use the contour diagram of f in the ligure below to decide ir the speciñied directional derivatives below are positive, negative, or approxmately zero 14 (a) At point (-2,2). in direction-i. is.? (b) At point (0,-2) in direction- i f s ? (c) At point ( 1,1), in direction i + s ? a) At point (-1,1), in direction +j f: s ? (e) At point (0,-2), in direction it2j. fd is!? n At point (0,-2),...
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,...
Answer the following questions for the given contour diagram of f(x, y) below: a. Estimate ∇f(4,...
Answer the following questions for the given contour diagram of
f(x, y) below:
a. Estimate ∇f(4, 1)
b. Estimate the maximum and minimum rates of change of f at the
point (4, 1)
c. In two different ways, estimate the rate of change of f at
the point (4, 1) in the direction of the vector < −1, 1 >
17 1 아 IT 2p | 1b 1 1 19 2p | g + 이
please check your answer Let P(R, T) represent the tons of apples produced in a single growing season at a particul...
please check your answer
Let P(R, T) represent the tons of apples produced in a single growing season at a particular apple orchard. Prod 80 78 76 74 72 6 9 12 15 18 21 24 R(anlal in indhes 37-2? (a) What is the sign of Py(12, 78) if negative (b) Which is greater? MP15, 78)|| 1P9, 80)|1 (c) Estimate the value of the directional derivative of P(R, T) at (9, 76) in the direction of (d) Estimate P(R, T)...
I'm having trouble with b and e 46. Use the portion of the contour diagram of f(x,) shown below to estimate the following: 80 78 76 74 72 113 6 9 12 15 18 21 24 (b) f (15,76) in the direct...
I'm having trouble with b and e
46. Use the portion of the contour diagram of f(x,) shown below to estimate the following: 80 78 76 74 72 113 6 9 12 15 18 21 24 (b) f (15,76) in the direction -i+j (d) vf di where C is the path from (15,76) to (24,76) (a) gradf (15, 78) (c) A critical point of f(x, y). (e) f(x,y)dA where R is the rectangle 9Sxs 15, 76 3 y s 80...
Needing help understanding part C! Thank you. 4. 3 2.5 2 1.5 1 0.5 0 -0.5...
Needing help understanding part C! Thank you.
4. 3 2.5 2 1.5 1 0.5 0 -0.5 -1 -1.5 FIGURE 2. Figure for Problem 5. 5. (5 pts) Let f(x,y) be a smooth function with Vf(0,0), V fz (DU) and Vfy(0. OẢ, OB and OČ in Figure 2. The x, and y-axes are horizontal and vertical, res- (a) Computs the directional derivative fob(0,0). (b) Is there a direction in which the rate of change of f at (0,0) is –2.5? Circle...
The diagram to the right shows equilibrium in the goods market defined by point A. 201...
The diagram to the right shows equilibrium in the goods market defined by point A. 201 18- 16- 14 12- 1.) Using the line drawing tool, show the effects of a decline in current government purchases. Properly label this line. 2.) Using the point drawing tool, identify the new goods market equilibrium. Label this point 'EB' Carefully follow the instructions above, and only draw the required objects. 8- 4 2- Desired national saving & investment
The scatter diagram for the data set below is shown. (a) Given that x overbar equals...
The scatter diagram for the data set below is shown. (a) Given that x overbar equals 2.5 commax=2.5,s Subscript x Baseline equals 2.258318 commasx=2.258318,y overbar equals 4.083 commay=4.083,s Subscript y Baseline equals 2.1046773 commasy=2.1046773,and r equals negative 0.9530761 commar=−0.9530761,determine the least-squares regression line. (b) Graph the least-squares regression line on the scatter diagram. -16-38xy A scatter diagram has a horizontal x-axis labeled from negative 1 to 6 in increments of 1 and a vertical y-axis labeled from negative 3 to...
(1 point) Use the contour diagram for f(x, y) shown below to estimate the directional derivative off in the direction v at the point P. (a) At the point P = (2, 2) in the direction ✓ = 7, the directional derivative is approximately O‘ot 16.0 18.0 12.0 14.0 2.0 (b) At the point P = (3, 2) in the direction ✓ = -1, the directional derivative is approximately 8.0 (c) At the point P = (4,1) in the direction...
3. (5 pts) Use the contour diagram of f in Figure below to decide if the specified directional derivative is positive, negative, or approximately zero Y 3 2 1 -2 3 1 2 3 -3 -2 -1 (a) At the point (-2,2), in direction i. (b) At the point (0,-2), in direction j (c) At the point (-1,1), in direction i+j. (d) At the point (-1,1), in direction -i+ j. (e) At the point (0, -2), in direction i- 2j.
Problem 6. (1 point) Use the contour diagram of f in the ligure below to decide ir the speciñied directional derivatives below are positive, negative, or approxmately zero 14 (a) At point (-2,2). in direction-i. is.? (b) At point (0,-2) in direction- i f s ? (c) At point ( 1,1), in direction i + s ? a) At point (-1,1), in direction +j f: s ? (e) At point (0,-2), in direction it2j. fd is!? n At point (0,-2),...
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,...
Answer the following questions for the given contour diagram of
f(x, y) below:
a. Estimate ∇f(4, 1)
b. Estimate the maximum and minimum rates of change of f at the
point (4, 1)
c. In two different ways, estimate the rate of change of f at
the point (4, 1) in the direction of the vector < −1, 1 >
17 1 아 IT 2p | 1b 1 1 19 2p | g + 이
please check your answer
Let P(R, T) represent the tons of apples produced in a single growing season at a particular apple orchard. Prod 80 78 76 74 72 6 9 12 15 18 21 24 R(anlal in indhes 37-2? (a) What is the sign of Py(12, 78) if negative (b) Which is greater? MP15, 78)|| 1P9, 80)|1 (c) Estimate the value of the directional derivative of P(R, T) at (9, 76) in the direction of (d) Estimate P(R, T)...
I'm having trouble with b and e
46. Use the portion of the contour diagram of f(x,) shown below to estimate the following: 80 78 76 74 72 113 6 9 12 15 18 21 24 (b) f (15,76) in the direction -i+j (d) vf di where C is the path from (15,76) to (24,76) (a) gradf (15, 78) (c) A critical point of f(x, y). (e) f(x,y)dA where R is the rectangle 9Sxs 15, 76 3 y s 80...
Needing help understanding part C! Thank you.
4. 3 2.5 2 1.5 1 0.5 0 -0.5 -1 -1.5 FIGURE 2. Figure for Problem 5. 5. (5 pts) Let f(x,y) be a smooth function with Vf(0,0), V fz (DU) and Vfy(0. OẢ, OB and OČ in Figure 2. The x, and y-axes are horizontal and vertical, res- (a) Computs the directional derivative fob(0,0). (b) Is there a direction in which the rate of change of f at (0,0) is –2.5? Circle...
The diagram to the right shows equilibrium in the goods market defined by point A. 201 18- 16- 14 12- 1.) Using the line drawing tool, show the effects of a decline in current government purchases. Properly label this line. 2.) Using the point drawing tool, identify the new goods market equilibrium. Label this point 'EB' Carefully follow the instructions above, and only draw the required objects. 8- 4 2- Desired national saving & investment
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