5. Points Pi (1,2,3), P2(-5,2,0), and P3 (2,7,-3 ) form a triangle in space. Calculate the area of the triangle.

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Q: 67 let Bz dw B 372742, Caur L B Rund IracdB O Laplaaan erB

A: Use the following definition, to find the solution. ∇=∂∂xi+∂∂yj∇2=∂2∂x2+∂2∂y2∇2fx,y=∂2f∂x2+∂2f∂y2 Wh...

Q: P64.6) (4.5.)P(4.5) 1. Find (5. 2). Ansuer: 32.5781. --010537 6317) -0106

A: Note:- x = ∫0∞tx-1 e-t dt 12=∫0∞t-1/2 e-t dt=∫0∞ e-tt dt = π=1.77245 1/5==∫0∞t-4/5 e-t dt=∫0∞ e-tt45...

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A: Given integral is ∫xx(1+lnx)dx We have to integrate this and find the value. The formula's we will u...

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Q: Find the inverse of function g(x)=log 4 (log 3 x). O y= 64* O y= 81* y= 34* O y= 43*

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Q: 30 x 20 : 5=....

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Q: (Bounded Linear extension theorem Let theanor medspace and i its Banach completionniff is abound ed ...

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Q: Reminder: Infinite Solutions means: No Solution means: One Solution means:

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Q: 2. Using (a) Jacobi Iterative Method and (b) Gauss-Seidel Method, obtain the solution to the 12х, + ...

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A: Here given equations are 3x - 2y + 5z = 215x + 4y = 37x - 2y - 5z = 5 

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Q: How many ways ways can you arrange the letters in the word UKRAINE? * O 720 O 270 O 4050 O 5040

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Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C ∫f(x)+g(x)dx=∫f(x)dx+∫g(...