3. r= 2(1+ cos()) kardiyoidinin içinde r = cos(4) çemberinin dışında kalan bölgenin alanı aşağıdakilerden hangisidir? a) 577 23 4 21 4 9118002 Boş bırak O O O

Q: Q2) 1- Find for: y= cos (x)+cos(x*) CoS

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Q: Let y = (sin z+ cos r)e", x E [0, 27]. %3D

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Q: 1 dA, where R is the union of both regions bounded by the functions y = sin(3x) x2 + y2 + 4 and y =…

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Q: Find the area inside both r = 2 sin(20), r = 2 cos 0

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Q: The area of the region inside r = 6 cos 20 the rose and outside the circle = 3/2

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Q: 12. Find the area of the region shared by r = 1+ cos 0 and r = 1 – cos 0.

A: The given graphs are r=1+cosθ and r=1-cosθ We have to find the area of the region bounded by the…

Q: V1- a² dx a) The integral above corresponds to the sum of the two shaded areas on the right. What is…

A: Let's find.

Q: Find if z = sin(uv)cos(uv), where u = e' and y = e2t. dt %D Lütfen birini seçin: O A. 3e(sin2(e3t) -…

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Q: Find the integral a 3x? cos (x ) dx where a is some positive real number.

A: Given : ∫0a3  3x2cosx3dx , where a is some positive real number

Q: (b) Find the entire length of the cardioid r = a(1+cos0).

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Q: The value of 'b' for which u(x, y) = ebx cos 5y is harmonic

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Q: 3. For r = 1+2 sin (0), find the area inside outer loop but outside the inner loop.

A: The figure is given below :

Q: find dz/dx and dz/dy for the following expression z =  tan-1 [(x+y)/(1-xy)]

A: This question is based on diffrentiation of function.

Q: Which area in Figure 8 is equal to Suase dx? (4+x²)3/2 (b) 1- 2 u S2 cos u du sin u du (c) y (d) 1 u

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Q: 3. a) Find the area under the graph of y = sin x over the interval [0, 1] b) Evaluate: J² cos(4x) dx…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the points of intersection between r =2 cos20 andr=- %3D 1- cose

A: To find the intersection point two curve we have to find r,θ by solving given curve.

Q: Compute the length of the cardioid r = 9 – 9 cos(0).

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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.