Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 2n.) (a) (-3, 3, 3) X* (b) (-3, 3/3,9)

Q: b) (12xy2+64+se*)do + CGx?y+2x)dy=0 c) 24 dx + (6x³¬xy•xdy=0

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Q: 3. Classify the stationary points of (a) f(r, y, 2)= x² +x*y+y*z+ – 42 (b) /(2, 23, re)- 20xy…

A: a) stationary point of f(x, y, z):-At those points where∂f∂x=0,∂f∂y=0,∂f∂z=0…

Q: Change from rectangular to spherical coordinates. (a) (9, 3√3, 6) (P₁0, 9) = (12 (p, 0, ) = (5√2 T 6…

A: Given coordinates:- a) 9,33,6 b) 0,-5,-5

Q: Find the two roots of (j)'/2 in rectangular. a) 0.770 + j0.770, –0.770 – j0.770 c) 0.707 + j0.707, –…

A: c

Q: (77) (04-70° + 180² - 200+ 200+8) V = 0

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Q: t y(t) = sin(WE) (t-c)² +wn² dł

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Q: 3. Classify the stationary points of (a) f(r, y, z) = x² +x*y+y'z+z7-4 (b) /(.x2, X, r)- 20xy +48r,…

A: Given function is fx1,x2,x3,x4=20x2+48x3+6x4+8x1x2-4x12-12x32-x42-4x23           (i) To classify the…

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for S ¤(t)…

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Q: Find parametric equations for the line. (Use the parameter t.) The line through the points (0,, 1)…

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Q: Calculate Li eax 1 + ex -dx for 0 < a < 1 using the rectangular contour -R → R → R+ 2πi → -R+ 2πi…

A: If f(z) is regular, except at a finite number of poles within a closed contour C and continuous on…

Q: dz дz Consider the equation 5 sin (x+y) + 4 sin (x + z) + 5 sin (y + z) = 0. Find the values of and…

A: 5sin⁡(x+y)+4sin⁡(x+z)+5sin⁡(y+z)=0

Q: d. V9+ 2i e. 2 + In(2 + i)

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Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for…

A: To eliminate the parameter 't', we can find the value of 't' in the first equation and put it in the…

Q: The indicial equation of (-1) y"+ (-1)y'+2u 0 at r=1 is: (A) + 2r +1=0 (B) r1 2r = 0 (C) r-r= 0 (D)…

A: Given differential equation is (x-1)2y"+(x3-1)y'+2y = 0

Q: 5. (x, y) (x - 6, y – 1) B A 1 2 3 4 5 Image Coordinates A'(__) B'( _) C'( -) n す 21

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Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1…

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Q: • Solve the equation using homogenous equation (5v-u)du + (3v - 7u)dv = 0 a.)(3v +u)² = c(v - u)…

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A: The objective of the question is to find out when the bullet will hit the ground, how far from the…

Q: Linear Algebra Let π: 3x-7y+2z=5 and X(1, -4, -7). (a) Find the coordinates of X', the mirror image…

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Q: Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 s 0 s 27.) (a) (-3, 3, 3) (b)…

A: Cylindrical coordinates are (r, θ, z)

Q: Classify, according to type (hyperbolic, elliptic, parabolic) the equations (i) Uxx +2Uxy +Uyy −Ux…

A: Let the partial differential equation be AUxx + BUxy + CUyy + DUx + EUy + F = 0 If B2−4AC&lt;0, then…

Q: Change from rectangular to spherical coordinates. (Let p ≥ 0, 0 ≤ 0 ≤ 2π, and 0 ≤ y ≤ ñ.) (a) (0, 3,…

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