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 y = sec (5x+2)

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Q: - ydx + (x ++ Vxy )dy= 0

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Q: 1+vx [8] Find y" of y =

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

A:

Q: Determine C when x=y=0 (xy + x)dæ = (x²y + æ² + y³ + 1)dy

A: Given that xy+xdx=x2y2+y2+x2+1dySolution…

Q: S tan-1 е' 1+4t² 2t dt

A:

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: dy Q2 Find dx of x = *-Y 2 x+y

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Q: y = (x2 + 2)5 (3x* + 5)3

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Q: Integrate 1. S the following: (x²-3x²) dx (x4-4x3+2)3 3 √x-2 z² 2 2. S dx 3. S dz 4 √73-2 3.

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

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Q: d2y Find anž if 2x²-3y²=7 dx2

A: Given that 2x^3-3y^2=7

Q: Find dy/dx

A: Step 1: Step 2: Step 3: Step 4:

Q: dt dx 5. 6. x* + 4

A: ∫dtt-1-t2upon rationalising it, we…

Q: F = (2+-1) dt

A:

Q: Find when y = -5 (In(x))¯4

A: Explanation of the answer is as follows

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

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Q: - (x*+ a²)dy = 2x[(x*+ a²)*+ 3y]dx ex[(x²+ a²)²+ 3y]dx

A:

Q: Find the rate of change of the distance D between the origin and a moving point on the graph ofy…

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Q: 4. F(x) = (1- t) dt %3D 4

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Q: d³x d2x dx -2- =0 dt dr3 dr?

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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…

Q: 4 y = x + + Vx

A:

Q: 2. 2 4 (xクノー→0ノ0) X'+3y"

A: Find the value of the limit of lim(x,y)→(0,0)x2y2x4+3y4. Suppose that the (x,y) approaches to (0,0)…

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.