In a metal plate located in the X, Y plane, the temperature at any point (x, y) is given by the expression T = 100/1 + x^2 + 2y^2 in ° C. Determine the value of the temperature above the point of isotherm that contains the intersection of the lines y = 2x+1&x+y=7: a) 11/20 ℃ b) 1℃ c) 20/11 ℃ d) 20/21 ℃

Q: 12. Find mR. (8x-12)° 127,x ex+ P. 12:44 PM 4/20/2021

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Q: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

A: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

Q: 5. show Hhat 1- l t tayI - tan (tan" 17

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A: The figure is as follows: Here OB bisects <AOC. So <AOB = <BOC m <4 = m <5

Q: Let 0 be the angle of inclination for the line through (X1.Y1) as shown in the accompanying figure.…

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Q: domain,

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Q: 1+ sinr Select one: a. -tanx + secx + c b. tanx + secx + c C. 1. +e 1 COSI d. tanx secx + c

A: First do some simplification in expression than integrate.

Q: Using Variation of parameters, find ui for the DE: y" – 2y' – 8y = 18e4* when Yc = Ce-2x + C2e4*. А.…

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Q: 2 (x+95y)e !!

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Q: it fe²-2x sin xdx versus -1 st≤ 1, add grid and label. 15. Plot

A: The given integral is ∫1tet-2xsin xdx for -1≤t≤1. To plot the resultant function in t versus t in…

Q: Illustration 5.46 Find the minimum value of (se (corec-1x)2

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Q: Exercises 1) Find x for x³ - 2x - 3=0, xo = 2, x₁ = 3. correct to 3 decimal places

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Q: Eliminate the Arbitrary Constant(s): 1. y = c,x2 + C2xe* 2. Iny = c, + C2x

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Q: Given DEF -> WHY through a reflection across the line y = x. What are the coordinates for the image…

A: We need to find coordinates of H.

Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: The given equation is y=Aex+Bxex. We have to eliminate the arbitrary constants.

Q: 2. OCot2E = csc

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Q: Eliminate the arbitrary constant from the given equation: y=ce2x cos3x +C2e2Xsin3x

A: The rule for eliminating arbitrary constants from a given equation:  As a rule, one requires n+1…

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A: The objective of the question is to compare the values of Δz and dz for the given function z = 3x² +…

Q: 8c. Graph the line y = x +3 for -8 < x < 6 and then use geometry to calculate + 3) dr.

A: Answer is 35. Solution is given below....

Q: C. 1. x = 2. m SW = 3. y = 4. mVW = T (2y-15) V S R (4y + 15)° (6x-48)° W

A: The angle subtended by an arc at the centre is double the angle subtended by it at any point on the…

Q: flowing into the funnel at the rate of 12 in.^3/sec and out at the rate of 4

A: Solution

Q: 7) Find mZWXZ. -(2x + 1)° (7x-10)° Y. X.

A: To find m∠WXZ=?Given: ∠WXZ=(2x+1)° and ∠ZXY=(7x-10)°Sum of the angles in right angle triangle=90°

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.