Math Answers

Let S be the set of all polynomial with real coefficient ,if f, g€S, define f~g if f¹=g¹ where f¹ is the derivative of f, show that ~ is an equivalence relation. Describe the equivalence classes of S

Step by step solution on how to find the slope of the tangent line of the given function f below.

1. f(x)=2x+5

2. f(x)=x²+1

3. f(x)=x²-1

The weight (in kgs) of the children of age group of 8 years to 10 years is normally distributed with 

mean as 30 kgs and Sd as 5 kgs. Find the probabilities that the weight (i) lies in between 26 kgs and 

40 kgs (ii) is more than 45 kgs.

Find the equation of the plane through the origin and parallel to the plane 10x+3y+7z=6

Blank 1. Calculate the answer by read surrounding text.

x+ Blank 2. Calculate the answer by read surrounding text.

y+ Blank 3. Calculate the answer by read surrounding text.

z= Blank 4. Calculate the answer by read surrounding text.

Find the parametric equations of the line that is going through the point (6,9,5) and is parallel to the plane 8x+6y+8z=9 and is perpendicular to the line

⟨x,y,z⟩=⟨7,9,4⟩+⟨5,4,6⟩t

x= Blank 1. Calculate the answer by read surrounding text.

+( Blank 2. Calculate the answer by read surrounding text.

)t, y= Blank 3. Calculate the answer by read surrounding text.

+( Blank 4. Calculate the answer by read surrounding text.

)t, z= Blank 5. Calculate the answer by read surrounding text.

+(2) t

The equation of the plane through the points (0,1,8),(1,1,11) and (1,6,0) is:

z= Blank 1. Calculate the answer by read surrounding text.

+ Blank 2. Calculate the answer by read surrounding text.

x+ Blank 3. Calculate the answer by read surrounding text.

y.

Determineif the 2 lines are parallel, skew or intersecting:

⟨x,y,z⟩=⟨4,2,3⟩+⟨3,3,2⟩t and

⟨x,y,z⟩=⟨-4,10,3 ⟩+⟨ 20,4,2⟩s

*If parallel (type the number 1).

*If intersecting (type the number 2).

*If skew (type the number 3).

Determine the point of intersecting of the 2 lines

⟨x,y,z⟩=⟨4,2,4⟩+⟨2,2,1⟩t and

⟨x,y,z⟩=⟨-5,2,-8 ⟩+⟨ 20,8,20⟩s

( Blank 1. Calculate the answer by read surrounding text.

, Blank 2. Calculate the answer by read surrounding text.

, Blank 3. Calculate the answer by read surrounding text.

)

Determine if the following lines are parallel, skew or intersecting.

⟨x,y,z⟩=⟨2,1,2⟩+⟨3,5,2⟩t and

⟨x,y,z⟩=⟨2,5,2 ⟩+⟨3,3,2⟩s

*If parallel (type the number 1).

*If intersecting (type the number 2).

*If skew (type the number 3).

Determine if the following lines are parallel, skew or intersecting.

⟨x,y,z⟩=⟨3,2,2⟩+⟨4,5,4⟩t and

⟨x,y,z⟩=⟨5,2,1⟩+⟨ 20,25,20 ⟩t

*If parallel (type the number 1).

*If intersecting (type the number 2).

*If skew (type the number 3).

Blank 1. Calculate the answer by read surrounding text.