Using cartesian coordination system only. No curvilinear coordination system allowed. 4. If a scalar field f is solely dependent on r, not the direction of 7 (i.e., f(F) = f(r)), show that Vf = f (hint: chain rules; and x8 + y9 + z2, = =) dr

Q: (-14) + (–7)

A:

Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: V(3278)3 + 6230 – 12e90i

A:

Q: (1-2=) dr

A:

Q: Evaluate. 5(41)

A: We need to evaluate the value of 5(4!)

Q: 4n – 1

A:

Q: 3 1/4 + 7 1/8

A:

Q: (5V3)2

A: Explanation of the solution is given below...

Q: 5/14+1/6

A: 514+16=15+742

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: . 4- 5 4m+8

A:

Q: 9/12+3/24

A:

Q: (4 – a2)

A: To integrate.

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: 5)235

A: Answer : 47

Q: Finding the LCM of 4,5

A: Given,            LCM of 4,5.

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: 56 10

A: The objective is to evaluate the value for

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: (n + 4)3 =

A: Given query is to expand (n+4)3

Q: 3 -5 7 4 8 2 8 -3 -6 find P30, P60 and P95.

A:

Q: 3(c) please

A:

Q: 7 10

A: Consider the provided equation, x7·x10=____ Fill in the blank.

Q: 8 13

A:

Q: Identify the work done, J. F.dr by an electric field, E = (x + xy)î + (y + 5)f – 5zk V/m to move an…

A: Work done along the curve C by vector field F . Where C is given by parametric equation r(t)…

Q: 1) 6dx 3/3

A: ∫33361+x2dx=6∫33311+x2dx=6tan-1x333=6tan-13-tan-133=6tan-13-tan-113=6π3-π6=2π-π=π

Q: Find A3 if A = {1, 2, a, b}

A: Given,      A=1, 2, a, b

Q: find: (m+I) m!

A:

Q: 6 8 27

A: If a line parallel to a side of a triangle intersect the other sides in two distinct points, then…

Q: Find A.

A: Given

Q: Z4×Z6 has an element of order 24. true or false ?

A:

Q: 9. x+8

A: For two intersecting chords , the  multiples of the lengths of the line segments on each chord are…

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Q: 3(m – 5) + m

A: 3(m-5)+m=0 3m-15+m=0 add both side 15 we get 2m=15

Q: -96 6 -7 A = -3 d 4A.

A:

Q: 8 15 2 15

A: 8/15 -2/15 here simple substraction given and fraction is given  calculation is given inbelow