Two identical solid spheres have the same temperature. One of the spheres is cut into two identical pieces. These two hemispheres are then separated. The intact sphere radiates an energy Qsphere during a given time interval. During the same interval, the two hemispheres radiate a total energy Qhsphere. What is the ratio Qhsphere/Qsphere

Q: A = 2î + 3j + & B = -41 + 23 – k C = 21 – 3j + 4k a) (AX B) · č b) (BX A) c) (AXB) · (CXB)

A:

Q: a) Express the point P (-2, 6, 3) in cylindrical and spherical coordinates b) If A = r sin cos ar…

A:

Q: Determine the values of I, and I, that satisfy the following two equations. 9.05 + 3.50/, - 2.90/2 =…

A: Write the first given equation, and resolve it as follows.…

Q: If C is added to B. the result is -9å + 5ĵ. If B is subtracted from C. the result is 4î – ĵ . Find…

A: C→ + B→ = -9i^ + 5j^    ...(1)C→ - B→ = 4i^ -j^    ...(2)

Q: Determine the constants, A and B: 2x-3/(x-3)(x-4) = A/x-3 + B/x-4

A: We solve the equations by comparision of terms.

Q: Two vectors A and B are given by A = 51 +61 + 7k and B = 31-8j + 2k. If these two vectors are drawn…

A: The two vectors are, Required:-The angle between the two vectors.

Q: In a two-dimensional plane, vector A is 3 meters due east and vector B is 5 meters, due 36.87…

A:

Q: With explanation, determine unit Vector perpendicular to the plane of A = 21-6j-3K and B = 4;+3j-K…

A:

Q: (a) Find the curl of the following vector: A = r cos 0 f-(sin e cos e@ (spherical) 2ô (spherical)…

A:

Q: onsider the parabola y = 7x - x², (a) Find the slope of the tangent line to the parabola at the…

A:

Q: For A= 21 +31-K, B = -21+ 3 + 5k, and C = 3ĵ- 5k, find C. (A-B). 33 X Be careful when subt

A: Given data:  Three vectors A = 2i + 3j - k B = -2i + 3j + 5k C = 3j - 5k Required: The value of C.(A…

Q: D1.4. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4), and C(-3, 1, 5).…

A:

Q: Eij and k are the usual unit vectors in the x, y and z directions, find aixi c.

A: As we know that i, j and k are unit vectors along the x, y and z directions. These unit vectors are…

Q: (a) Write each of the following vectors in component form: A y 3 m/s x 2) 250 5m x 60º 7 m B (ii)…

A: Step 1: Step 2:

Q: b) Find the direction of - + B, where A = (23.1, 68.9), B = (91.7, -161.0). Express the angle…

A:

Q: 1- Three vectors, a = 6î +2ĵ – 4k , b = -3î +4j + 2k , č =6î +73+3k , Find the following: a) За b)…

A:

Q: dy differential equation +y tan (x)= cos (x) . If y(0)=0,y dx Consider the 3 S (up to two decimal…

A: Given, dydx+ytanx=cosx

Q: In the sum A+B=Č , vector has a magnitude of 18 m and is angled 39° counterclockwise from the +x…

A: This is a problem related to vectors. The below-given diagram shows the arrangement of the given…

Q: Derive the relation between unit vectors of Cylindrical and Cartesian Coordinates? (Mathematical…

A: A general system of coordinates uses a set of parameters to define a vector. let x,y, and z are the…

Q: The figure shows a 2D coordinate system S (red) and another coordinate system S' (blue). S' is…

A: (a)i^' is unit vector along x' and j^' is unit vector along y'so resolving them along old x,y axis…

Q: a В Given IAl = 13.3 and IB| = 53.9, find the scalar Å · B when a = 98.3 º. Round your answer to 1…

A:

Q: So in this instance am I doing it correctly or do I need to use the other formula instead?

A: Area of a circle = πr2 Surface area of a sphere = 4πr2 where, r = radius   And If we take the…

Q: Express the ff. as a single 2 × 2 matrix. exp (it)

A: We can every exponential in a matrix form. The solution of the above problem is as following in step…

Q: Using spherical polar coordinates, find Vf for (a) f = r4 (b) f = r2 +1 (c) f = r2 sin 20 cos o

A:

Q: 1) Define the unit vector? What is the unit vector of the general vector: Ã = azî + a,ĵ + a,k and B…

A:

Q: =ind (Ả×℃) · (Č×B) given the following vectors: A = 2î + 5ĵ A) 33k B) 51k (C) No Answer D) 51 E 33 B…

A:

Q: Given vector A =   and vector B = , what is A dot B?

A: Given            A = <10, 20, 18>          B = <16, -17, -24>

Q: Compute the area of the region bounded by these parabolas. y = x2 – 4x + 3 and y = -x² + 2x + 3

A: Given: y=x2 -4x+3 y=-x2+2x+3

Q: Evaluate the integral: sin* x cos ² x dx

A: We have been given the integral-∫sin4x cos2x dxEvaluate this integral by using normaltrignometric…

Q: Part C Enter the expression -20 + 6D in the answer box using the notation just described. Express…

A:

Q: A unit vector is defined as a fixed vector which locates a point in space relative to another point.…

A:

Q: Find the CG of the of area bounded by x/2+y/3+z/4=1 x=0, y=0, z=0

A:

Q: Find two nonnegative numbers x and y such that xy = 162 and 6x + 3y is minimized. X = y =

A: X=9 Y=18

Q: Evaluate the integral: sin x cos x dx x cosº x dx

A: We have to evaluate the following integral-∫sin3x cos6x dxWe have to use our normal trignometric…

Q: E. Use a ruler to determine (as well as you can) the ratio of the length of R compared to C (i.c. is…

A: (E)

Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (6, -1), (8,5),…

A:

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

A:

Q: 47 +5k and M = 31 + 4} +5k The angle made by the two vectors S = 3î is:

A: Dot product of two vectors can be calculated by A·B =|A| |B| cos θ  where Theta is the angle between…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.