-· EX 2.1 GNen Roint ļ (-2,6,3) dnd ector A =yax + (X+Z) ay O EXPress P and Ā in Cydindrical and SPherical

Q: 2 dydx + f(x, y)dydx

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Q: L V' V – 2 тлу | dy sin L L

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Q: Calculate the area of the polygon given the vertices

A: The area of the polygon is the area of smaller polygons that when joined create the original…

Q: Find the area of the surface generated by revolving the curve y = V 121 - x2, – 1 s x < 1 about the…

A: We can find the answer as below.

Q: If z = In(x² – 2y), and x=u+v, y= e" , find and du If w=2xy'z', and y =x² +1, z= Vx, find dx

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Q: A) Link between plane and line in the differentiation. 7) Find the aquations of alono pocinh the…

A: Link between line and plane.

Q: Calculate 2 4-y2 IL dy de y dx dy. T sinx SSasing dy dx @ $ ydydk

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: What is the value of t in terms r, s, and u In the equation

A: The solution is easy to see

Q: v'u = (uv) – u't

A: Introduction: The formula for differentiation of product of two functions is given by,…

Q: Determine the order of the DE. a.) y' + y = 5y^2 b.) (dy)/(dt) = t c.) y' = y'' + 5t^2

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Q: Utilize a parameterization of these line segments to figure out the work done by the force: F(x, y)…

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Q: Find the equation of the tangent line to the vector function r(t) = (1-2 arctan(t), 3e¹−¹², 4ln(t²…

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Q: dz Given z³ - xy + yz + y³ −2 = 0, find Әх and Oz ду at the point (1,1,1).

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Q: Q/ Solve the di Pferential e quation y+2y-3y=7R-3x

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Q: Find of / dx and of / dy. f(x,y) = e(x+ y + 9) of / dx = df / dy =

A: Let f be a function of x and y. The expression ∂f∂x implies that partial derivative of f with…

Q: y = v2x + (1//2) х2 +1

A:

Q: Use hyperbolic functions to parametrize the intersection of the surfaces x' - y 49 and z= (Use…

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Q: Find of / dx and of /ay. f(x.y) = elx +y+6) of I dx = of I dy =

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Q: Find speed and acceleration at a point (C,D), if distance of a particle is given by S = 2t^3− 3t^2…

A: The acceleration of an object is the rate of change of its velocity. The velocity of an object is…

Q: Find the area of the portion of the unit sphere inside the cylinder x2 + y? = 1/2 and z > 0. Select…

A: The equation of the sphere is x2+y2+z2=r2. Here, r is the radius of the sphere. The equation of the…

Q: What is the differential for the total surface area of a frustum of a cone with i as the slant…

A: The formula for total surface area of the frustum of the cone with the given slant height l is Total…

Q: дz Find and əx дz ду' yz + x ln y = z²

A: Given query is to find indicated partial derivatives.

Q: Q1.6 Find the point on the surface given by the equation x^2 + 5y^2 + 10z^2 = 18016 that has a…

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Q: Express he equation n" = 4y in poar corinaes.

A: Given equation x2=4y

Q: Given Yy - y = – ỹ Yy - y + y. - ỹ and (y — У )? [(Yj – J,) + ỹ, – ỹ )]² 2. %3D

A: Given that

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.