dy t² +3 21. Find 9 if y = In dt /1-t,

Q: Differentiate the function y = In (3x² – 6x + 7). Choose the correct setup below to start differe d…

A:

Q: d_(F(x*)) d dt dx dx 16

A: To find- solve the given equation.

Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

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Q: S tan-1 е' 1+4t² 2t dt

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Q: Let f(x) = 3x+ 4x. Evaluate dy when x=2 and dx=0.1

A: Given that fx=3x2+4x To evaluate dy when x = 2 and dx = 0.1.

Q: Integrate S (2x+1) Staz+X+4) dx

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Q: Find dy/dx

A: Step 1: Step 2: Step 3: Step 4:

Q: F = (2+-1) dt

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Q: Let f' (t) dt = 9 and f (2) = 3. Find f (6).

A:

Q: dy x -3x Find when y= dx I+xA Vx+1

A: Given,           y=x2-3xx+1

Q: If y=x^(2)+81, find the relationship between (dy)/(dt) and (dx)/(dt) Where x,y depend upon t.

A: We have to find the relationship between  and where  and  depend upon .We use Chain Rule to answer…

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.