1- Find all of the points where the curve r = 2 cos (-) intersects the circle of 3, radius v2 centered at the origin.

Q: 12 of 17 > Find the equation of the tangent plane to the graph of G(u, w) = sin (uw) at the point…

A: We have to find equation of tangent plane for the given Curve.

Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then…

Q: first and second at point x=3 of the given function the value of its derivatives, a) Calculate…

A: Given a function: fx=2ex+cosx-5x2+7x (a) To find the first and second derivatives of the function…

Q: Show that the equation a – 10r +5 = 0 has a root in the interval (-1, 1). b) The following figure…

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Q: Find the arclength of fox) = Ln/sinx/ on [1, 2] Round the answer to 2 decimals.

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Q: x = e21 , y= 2cost+ 6sint parametrik denklemleri ile verilen eğrinin (1,2) noktasındaki teğet…

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Q: find parametric equation (cartesian) for tagent line to r=cos(2theta) at theta=2

A: The equation of the tangent line is

Q: Graph the curve x = cos t + 2 cos 2t y = sin t + 2 sin 2t to discover where it crosses itself.…

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Q: ind all points of intersection (r,θ) of the Lemniscate r^2=25cos(2θ), and the circle r=1 for values…

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Q: 4) The curver= V1 + sin20,

A: Solution :-

Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: Find the equation to the tangent line y=8 sin x at point (π/6, 4) using form mx+b m= b= Both of them…

A: Topic =Derivative

Q: 2. Below is part of the graph of 5r³y-3ry? + y³ = 6. If cord pugin points can tangent line Lex)=…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: angents PA and PB are drswn to x\power{2}+y\power{2}=a\power{2} from the point…

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Q: Write the equation of the cone with the top point (1,2,3) and t he rectification curve fx= cost,y=…

A: The generator line for a cone is the line that connects the vertex and the point on the…

Q: If from any point P on circle x² + y² + 2gx + 2fy + c = 0, tangents are drawn to the circle x² + y²…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.