Evaluate the intcgrated Tntegral by converting to polar čoardinates
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A: In this question, the cartesian coordinate is converted into Polar coordinates. x=rcosθ,y=rsinθ The ...
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A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...
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A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three ...
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A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...
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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then...
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Q: 3-7. If L[x(t)] = X(s), find: (a) L[*(t)] when X(s) 2 and x (0) = 2 MATHEMATICAL TECHNIOUES (b) L[x(...
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Q: 1. Solve the following system of equations using the Gauss elimination method: 2x1 +x2 -x3 = 1 xj+ 2...
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A: In order to solve this problem you need to know the following notions:
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Q: Given a vector p= (0,1) e R², numerically state a dataset {x}_1 such that li=1 x* = mịn ||x – p||2 =...
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Q: How did he get the value inside the circle, can you explain step by step and clear line please
A: Introduction: The properties of logarithmic function are given by, lnab=blnaln(a.b)=ln(a)+ln(b)
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- Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a orthocenter? b centroid?Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how many planes are determined by these points?If MNPQ is a rhombus, which formula from this section should be used to calculate its area? Exercise 46
- What is the name of the three-dimensional shape formed if points M and N remain fixed, while line segment LM is rotated around line segment MN?If a 9-mile road is built along the median of the triangle connecting Town R to the highway between towns P and Q, how far will people from each town need to travel to reach the research facility? *Research facility is located at the centroid of the triangle made by highways connecting three townsGive examples of four-leaved rose, lima ̧con, lemniscate, cardioid in polar coordinates. Sketcheach of them. And find the closed area that are enclosed by each of them.
- Draw an example of two lines that illustrates the Spherical Geometry Parallel Postulate.What solid is formed when a right triangle is rotated around a line containing one of its legs? cone cylinder sphere cubeOn a plane equipped with a polar coordinate system, what is the area of the triangle with vertices 0(0,0), P1 (6√3, π/6), and P2 (12, π/3)?
- Sketch the triangle with vertices at the origin O, P = (3, 3, 0), and Q = (0, 3, 3), and compute its area using cross products.Sketch the triangle with vertices O, P = (0,7,2) and Q = (5,0,4) and compute its area using cross products.Give a parametric description for a sphere with radius a, includingthe intervals for the parameters.
