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2. Coordinate computation application sin(Az) and y = y\-+ DA cos(AZAR ) Хв — хд +D...
дz дz 1. In the equation, x sin y - y cos z + xyz =...
дz дz 1. In the equation, x sin y - y cos z + xyz = 0, z is a function of x and y. Find and ду" дх D- 1) and o- (-11 1)
5x cos(y3)dA Where D is the region bounded by y = 2, y = -x and...
5x cos(y3)dA Where D is the region bounded by y = 2, y = -x and the y axis.
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3....
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3. [2cy cos(x+y) - sin x) dx + x2 cos (+²y) dy = 0. 4. Determine the values of the constants r and s such that (x,y) = x'y is an Integrating Factor for the following DE. (2y + 4x^y)dr + (4.6y +32)dy = 0. 2. C = -1 You need to find the solution in implicit form. 3. y = arcsin (C-cos) 4. r=...
HNTV 8) Suppose v(y) = A Sin By, and y(y)=B Cos By are each solution to...
HNTV 8) Suppose v(y) = A Sin By, and y(y)=B Cos By are each solution to the particle in the box problem with the Hamiltonian, H = -(h/8x ma?)d/dy. Show that the linear combination (y) - A Sin By - B Cos By is also a solution and then determine the eigenvalue. (Hint: Hv=Ev). The Synthesis of 1,3,5,7,9,11,13-tetradecaheptaene conjugated compound with the formula H-[CH=CH]7-H produced a trace amount as reported by (Alexander Mebane, JACS 74 (20), page 5227-5229 (1952). The...
#6 Letter C, can you please explain how you got the answer. and to check the answer key says its 1/144 Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and...
#6 Letter C, can you please explain how you got the answer. and
to check the answer key says its 1/144
Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and 1 (d.) vd dA, D is the triangular region with vertices (0,2),(1,1), and (3,2) (a.) olr+v) dA, D is the region bounded by y and z 2.) Evaluate 3.) Evaluate J p cos(r +y)dA, where D is...
3. A shape is defined as: (x, y, z) = (rcos 0 sin 0,r sin sin d, r cos ø) with 0r1, T/4 < 0< 7t/4 and 0 < ¢ &l...
3. A shape is defined as: (x, y, z) = (rcos 0 sin 0,r sin sin d, r cos ø) with 0r1, T/4 < 0< 7t/4 and 0 < ¢ < T* 2 marks (a) Describe this region. an appropriate integration, determine the volume of this shape [4 marks (b) Using 3 (Continued) 3 marks (c) Parametrise the surface of this shape. 3 marks (d) Find a normal to the surface [4 marks (e) What is the surface area of...
1. A, on a coordinate axis (1)sketch x? + (y – 5)2 = 9, (2)describe the...
1. A, on a coordinate axis (1)sketch x? + (y – 5)2 = 9, (2)describe the graph, (3)the graph is revolved about the x-axis, set-up integral which will compute its VOLUME, simplify the integrand as much as possible but DO NOT DO THE INTEGRATION. B. The triangle whose vertices are (0,0), (2,8) and (2,2) is revolved around the (a)x-axis, (b)y-axis (1)find the eqs. Of the sides, (2)draw graph, (3)compute (a) and (b) C. A student on test was asked to...
106. Cylindrical Coordinates. Define curvilinear coordinates (p, ø, z) by y = p sin d, p cos integer, find expressions...
106. Cylindrical Coordinates. Define curvilinear coordinates (p, ø, z) by y = p sin d, p cos integer, find expressions for the following quantities in where p 0,0 < 0 < 2t. If n is an terms of p, ф, z and p, ф, 2. (а) Vф; (b) Vр"3; (c) V2(p2 cos ); (d) V :(pp + pфф + z2); (F) V. (p*-1 sin(nф)р + pr-1 cos(nф)ф). (e) V x
106. Cylindrical Coordinates. Define curvilinear coordinates (p, ø, z) by...
+ cos(y) is conservative by responding to the 2. Show that the vector field F(x,y) =...
+ cos(y) is conservative by responding to the 2. Show that the vector field F(x,y) = (ye* + sin(y))i + ( following steps: a.) Determine both P(x,y) and Q(x,y) given F. b.) Demonstrate your answers in a.) satisfy Clairaut's theorem. c.) Partially integrate P with respect to r to obtain the potential S(= y) = P(x,y)da = (1.x) + C) where (a,b) is the anti-derivative of P(x,y) with respect to r and C(y) is a function of y such that...
Evaluate Sc (2+2)dy where C is described by parametric equations x(t) = cos(t), y= sin(t), z...
Evaluate Sc (2+2)dy where C is described by parametric equations x(t) = cos(t), y= sin(t), z = 2,0 <t< Select one: O A. +2 O B. 1+2 O C.-1 OD. -1 ABC is a triangle in R where A =(1,4,5), B =(2,-1,0) and C =(4, 2, -3). Find the area of ABC. Select one: O A. (-30,7, -13) O B. -2 OC. V1118 O D. VILLE
дz дz 1. In the equation, x sin y - y cos z + xyz = 0, z is a function of x and y. Find and ду" дх D- 1) and o- (-11 1)
5x cos(y3)dA Where D is the region bounded by y = 2, y = -x and the y axis.
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3. [2cy cos(x+y) - sin x) dx + x2 cos (+²y) dy = 0. 4. Determine the values of the constants r and s such that (x,y) = x'y is an Integrating Factor for the following DE. (2y + 4x^y)dr + (4.6y +32)dy = 0. 2. C = -1 You need to find the solution in implicit form. 3. y = arcsin (C-cos) 4. r=...
HNTV 8) Suppose v(y) = A Sin By, and y(y)=B Cos By are each solution to the particle in the box problem with the Hamiltonian, H = -(h/8x ma?)d/dy. Show that the linear combination (y) - A Sin By - B Cos By is also a solution and then determine the eigenvalue. (Hint: Hv=Ev). The Synthesis of 1,3,5,7,9,11,13-tetradecaheptaene conjugated compound with the formula H-[CH=CH]7-H produced a trace amount as reported by (Alexander Mebane, JACS 74 (20), page 5227-5229 (1952). The...
#6 Letter C, can you please explain how you got the answer. and
to check the answer key says its 1/144
Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and 1 (d.) vd dA, D is the triangular region with vertices (0,2),(1,1), and (3,2) (a.) olr+v) dA, D is the region bounded by y and z 2.) Evaluate 3.) Evaluate J p cos(r +y)dA, where D is...
3. A shape is defined as: (x, y, z) = (rcos 0 sin 0,r sin sin d, r cos ø) with 0r1, T/4 < 0< 7t/4 and 0 < ¢ < T* 2 marks (a) Describe this region. an appropriate integration, determine the volume of this shape [4 marks (b) Using 3 (Continued) 3 marks (c) Parametrise the surface of this shape. 3 marks (d) Find a normal to the surface [4 marks (e) What is the surface area of...
1. A, on a coordinate axis (1)sketch x? + (y – 5)2 = 9, (2)describe the graph, (3)the graph is revolved about the x-axis, set-up integral which will compute its VOLUME, simplify the integrand as much as possible but DO NOT DO THE INTEGRATION. B. The triangle whose vertices are (0,0), (2,8) and (2,2) is revolved around the (a)x-axis, (b)y-axis (1)find the eqs. Of the sides, (2)draw graph, (3)compute (a) and (b) C. A student on test was asked to...
106. Cylindrical Coordinates. Define curvilinear coordinates (p, ø, z) by y = p sin d, p cos integer, find expressions for the following quantities in where p 0,0 < 0 < 2t. If n is an terms of p, ф, z and p, ф, 2. (а) Vф; (b) Vр"3; (c) V2(p2 cos ); (d) V :(pp + pфф + z2); (F) V. (p*-1 sin(nф)р + pr-1 cos(nф)ф). (e) V x
106. Cylindrical Coordinates. Define curvilinear coordinates (p, ø, z) by...
+ cos(y) is conservative by responding to the 2. Show that the vector field F(x,y) = (ye* + sin(y))i + ( following steps: a.) Determine both P(x,y) and Q(x,y) given F. b.) Demonstrate your answers in a.) satisfy Clairaut's theorem. c.) Partially integrate P with respect to r to obtain the potential S(= y) = P(x,y)da = (1.x) + C) where (a,b) is the anti-derivative of P(x,y) with respect to r and C(y) is a function of y such that...
Evaluate Sc (2+2)dy where C is described by parametric equations x(t) = cos(t), y= sin(t), z = 2,0 <t< Select one: O A. +2 O B. 1+2 O C.-1 OD. -1 ABC is a triangle in R where A =(1,4,5), B =(2,-1,0) and C =(4, 2, -3). Find the area of ABC. Select one: O A. (-30,7, -13) O B. -2 OC. V1118 O D. VILLE
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