1. Let S3 = {x² + y + 22 + w² = 1} be a 3-dimensional sphere. Write down the local coordinate and the volume form for it.

Q: 24. Find d²4 zP 2. xp 4=3x² +34-8

A: Differentiate two times

Q: 1/x

A:

Q: Evaluate 4-3

A: For a negative exponent, we will use reciprocal first.

Q: 3. 42P 4-2p-1 =

A:

Q: The number of guest represented is not 85

A: Min  = 15Q1 = 30Median = 45Q2 = 55Max = 100

Q: dr Vr +3 5.

A:

Q: do 18

A: Given one-parameter family of equation isy2−2y=x2−x+cDifferentiating the above equation with respect…

Q: 15 =

A: Given integration: ∫0915xdx Apply the constant multiple rule ∫cf(x)dx=c∫f(x)dx ∫0915xdx=15∫09xdx…

Q: arg er side is doubled.the new hyp

A: the largest side of a right angle triangle is hypotenuse.  It is doubled .

Q: There are two more questions pleade

A: I have to answer for part-d and part-e, so i use the previous result .

Q: 00 (2-5)" nt2

A: As per guidelines, we are supposed to answer only one question. Here it is question 2) only.…

Q: Evaluate 24

A: Explanation of the answer is as follows

Q: s): olicities: Behavior at x-axis: (through, bounce, flatten) 2. Divide. 4x-10x+5x-7x+1 -x+2

A:

Q: dr 414. 12 +1

A:

Q: Evaluate 0.

A: Given, ∫0π3cot2θ1+cot2θdθ

Q: determine the value of 25P2.

A:

Q: The differece between aa two digit number and that number reversed is 18 what can the number be?…

A:

Q: Blank of 80 is 50

A: Blank of 80 is 50

Q: to 40 ーと。

A: Solving the above diagram.

Q: y 10 10 10

A:

Q: Evaluate 0 b 0 10

A:

Q: If an equilateral triangle is circumscribed about a circle of radius 20 cm, determine the side of…

A:

Q: I indy ralue

A: using two formula ln(y²) =2lny (x-y)²=x²-2xy+y²

Q: — 33 > 5а + 2

A:

Q: て6x-y-Sy4)さ

A: Solution: The objective is to find the value of the double integral

Q: Evaluate  P43 and C96

A: Solution

Q: 60 90

A:

Q: B. 168

A: Explanation and solutions is given below....

Q: Can you please answer 6 and 10 and show Word please ?

A: Given below the detailed solution

Q: IL

A:

Q: is x 16 17 21 or 24

A: For these triangle  Angle C = angle G

Q: 2. Evaluate dz.

A: I = ∫x31 - x2 dxLet, x = cosθ ⇒ dx = -sinθ dθSo, I = ∫cos3θ1 - cos2θ- sinθ dθ          = - ∫cos3θ…

Q: Can ypou please recheck the answer

A: The answer is correct as per my knowledge. Please post if you have any specific doubts

Q: Demin Rang

A: The given function is  f(x) = 11-2x+1

Q: Evaluate 2T de.

A: Use the Residue theorem to evaluate this integral.