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The contour diagram in Figure 6(a) describes the hyperbolic paraboloid z = f(x, y) = I...
Please help. 16, Figure 8.59 is a contour diagram for z f(x, y). Is positive or negative? Is fy positive or negative? Estimate f(2, 1), fz (2, 1), and fs(2, 1). -6 10 14 18 Figure 8.59 16, Figur...
Please help.
16, Figure 8.59 is a contour diagram for z f(x, y). Is positive or negative? Is fy positive or negative? Estimate f(2, 1), fz (2, 1), and fs(2, 1). -6 10 14 18 Figure 8.59
16, Figure 8.59 is a contour diagram for z f(x, y). Is positive or negative? Is fy positive or negative? Estimate f(2, 1), fz (2, 1), and fs(2, 1). -6 10 14 18 Figure 8.59
- bram , July It, 2014 I (a) If z=f(x,y) welt u=x²-yz and U=xy find the...
- bram , July It, 2014 I (a) If z=f(x,y) welt u=x²-yz and U=xy find the Tacoblan of le, U with respect to yy. (b) Use the chain rule to evaluate az and dz When Z= sin ax cosby for x=sity-s-t व
Assume that is the parametric surface r= x(u, v) i + y(u, v) j + z(u,...
Assume that is the parametric surface r= x(u, v) i + y(u, v) j + z(u, v) k where (u, v) varies over a region R. Express the surface integral 116.3.2) as as a double integral with variables of integration u and v. a (x, y) a(u, v) du dy ru Хry dy du l|ru Xr, || f (x (u, v),y(u, v),z (u, v)) 1(xu, Wsx,y,z) Mos u.v.gou,» @ +()*+1 li ser(u, v),y(u, v),z (u, v) Date f (u, v,...
17 marks] Consider the functionf(x, y) = (y - 1) (x- 1). (a) Find a unit normal vector to the contour line given by f=0...
17 marks] Consider the functionf(x, y) = (y - 1) (x- 1). (a) Find a unit normal vector to the contour line given by f=0.5 at the point (x,y) (1.5,2). Do not forget to check that this point is on the contour line. (b) Consider the curve L given by r(t) = 2ti+3tj with 0 ts1 and the Cartesian basis vectors i= (1,0) and j= (0,1) of R2. Determine using the chain rule and use this result to determine all...
8.) (10 Points) Given the contour diagram z = f(x,y). 2 1 2 3 4 -2...
8.) (10 Points) Given the contour diagram z = f(x,y). 2 1 2 3 4 -2 R a. Find i. f(-1,1) 11. a value of x for which f(x, 1) = 3 iii. a value of y for which f(0,y) = -2 b. The given graph has a local maximum value. At which point (x,y) does this occur? c. Determine the sign (positive or negative) of the following partial derivatives. i. (1,0) ii. fy(0,1)
Question 8 (15 marks) Consider the function f: R2 R2 given by 1 (, y)(0,0) f(r,y) (a) Consider the surface z f(x, y). (...
Question 8 (15 marks) Consider the function f: R2 R2 given by 1 (, y)(0,0) f(r,y) (a) Consider the surface z f(x, y). (i Determine the level curves for the surface when z on the same diagram in the r-y plane. 1 and 2, Sketch the level curves (i) Determine the cross-sectional curves of the surface in the r-z plane and in the y- plane. Sketch the two cross-sectional curves (iii) Sketch the surface. (b) For the point (r, y)...
2) Let z = ex’y, a ex?y, x = Vuv, y = f(v), f(1) = 1...
2) Let z = ex’y, a ex?y, x = Vuv, y = f(v), f(1) = 1 and f'(1) = 1/2. Find i) at the point where u = 4 and v = 1. az and ii) 2) 2 = er’y, r = Vuv, y = f(v), f(1) = 1 ve f'(1) = 1/2 ise, i) Su ve ii) si 'nin u = 4 ve v = 1 olduğu noktadaki değerlerini hesaplayınız. (1) 4e*; (ii) 4e + 24 (1) 4e4; (tr)...
(b) The signal f(t) is shown in the figure below 3 2 f(t) _ 0 I...
(b) The signal f(t) is shown in the figure below 3 2 f(t) _ 0 I 1 -4 -3 -2 -1 0 1 2 3 4 5 6 7 t and is given by 21 (1) + 3A (132), where A is the triangle function defined as 10-{ It a It <a It > a 0 Write the Fourier transform F [A(t)] (s) of f(t) exploiting the fact that FA(t)](s) = sinc-(s) where sin(TTS) sinc(s) ITS and the theorem for...
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...
can you please answer all of them please need it for a review F(x y, z)...
can you please answer all of them please need it for a
review
F(x y, z) = 6x over the rectangular solid in the first octant bounded by the coordinate planes and the planes X-9, y-3, 2-S 27 1458 162 243 Find the center of mass of a thin triangular plate bounded by the coordinate axes and the line x + y = 4 if o(x, y) = x + y. 5 5 -3.73 . Oz Find the center of...
Please help.
16, Figure 8.59 is a contour diagram for z f(x, y). Is positive or negative? Is fy positive or negative? Estimate f(2, 1), fz (2, 1), and fs(2, 1). -6 10 14 18 Figure 8.59
16, Figure 8.59 is a contour diagram for z f(x, y). Is positive or negative? Is fy positive or negative? Estimate f(2, 1), fz (2, 1), and fs(2, 1). -6 10 14 18 Figure 8.59
- bram , July It, 2014 I (a) If z=f(x,y) welt u=x²-yz and U=xy find the Tacoblan of le, U with respect to yy. (b) Use the chain rule to evaluate az and dz When Z= sin ax cosby for x=sity-s-t व
Assume that is the parametric surface r= x(u, v) i + y(u, v) j + z(u, v) k where (u, v) varies over a region R. Express the surface integral 116.3.2) as as a double integral with variables of integration u and v. a (x, y) a(u, v) du dy ru Хry dy du l|ru Xr, || f (x (u, v),y(u, v),z (u, v)) 1(xu, Wsx,y,z) Mos u.v.gou,» @ +()*+1 li ser(u, v),y(u, v),z (u, v) Date f (u, v,...
17 marks] Consider the functionf(x, y) = (y - 1) (x- 1). (a) Find a unit normal vector to the contour line given by f=0.5 at the point (x,y) (1.5,2). Do not forget to check that this point is on the contour line. (b) Consider the curve L given by r(t) = 2ti+3tj with 0 ts1 and the Cartesian basis vectors i= (1,0) and j= (0,1) of R2. Determine using the chain rule and use this result to determine all...
8.) (10 Points) Given the contour diagram z = f(x,y). 2 1 2 3 4 -2 R a. Find i. f(-1,1) 11. a value of x for which f(x, 1) = 3 iii. a value of y for which f(0,y) = -2 b. The given graph has a local maximum value. At which point (x,y) does this occur? c. Determine the sign (positive or negative) of the following partial derivatives. i. (1,0) ii. fy(0,1)
Question 8 (15 marks) Consider the function f: R2 R2 given by 1 (, y)(0,0) f(r,y) (a) Consider the surface z f(x, y). (i Determine the level curves for the surface when z on the same diagram in the r-y plane. 1 and 2, Sketch the level curves (i) Determine the cross-sectional curves of the surface in the r-z plane and in the y- plane. Sketch the two cross-sectional curves (iii) Sketch the surface. (b) For the point (r, y)...
2) Let z = ex’y, a ex?y, x = Vuv, y = f(v), f(1) = 1 and f'(1) = 1/2. Find i) at the point where u = 4 and v = 1. az and ii) 2) 2 = er’y, r = Vuv, y = f(v), f(1) = 1 ve f'(1) = 1/2 ise, i) Su ve ii) si 'nin u = 4 ve v = 1 olduğu noktadaki değerlerini hesaplayınız. (1) 4e*; (ii) 4e + 24 (1) 4e4; (tr)...
(b) The signal f(t) is shown in the figure below 3 2 f(t) _ 0 I 1 -4 -3 -2 -1 0 1 2 3 4 5 6 7 t and is given by 21 (1) + 3A (132), where A is the triangle function defined as 10-{ It a It <a It > a 0 Write the Fourier transform F [A(t)] (s) of f(t) exploiting the fact that FA(t)](s) = sinc-(s) where sin(TTS) sinc(s) ITS and the theorem for...
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...
can you please answer all of them please need it for a
review
F(x y, z) = 6x over the rectangular solid in the first octant bounded by the coordinate planes and the planes X-9, y-3, 2-S 27 1458 162 243 Find the center of mass of a thin triangular plate bounded by the coordinate axes and the line x + y = 4 if o(x, y) = x + y. 5 5 -3.73 . Oz Find the center of...
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