(z-4)2 = 4x2 + 4y2   Find the equation of the generating curve on the yz plane.

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Q: 4. Evaluate the following integral fel e(-²²-25) dt

A: Note:-  ∫ e-x2 dx=π2 erfx +C   Given integral is ∫0∞ e-t2-254t2 dt

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Q: 3. Magkano ang nominal wage? Real wage = P10,200.00 CPI = P180.20

A: Here given  Real wage =10,200.00 CPI =180.20

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Q: Q1: Solve the following differential equations (A) 2xydx + (x² +8x+17)dy = 0 (B) y'-- 4 2x+1 - y = =…

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Q: 3. Solve the linear system using Gauss-Jordan method I 2x+y+z=2 y+z+w=2 x+y=z=0 x + 2z-w=1

A: augmented matrix of the given system 211020111211-100102-11

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Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

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Q: 8 Find the value of x in the triangle below: xo A) 30° B) 32° C) 28° D) 36° E) 34° 31 17 78° fanny…

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Q: 2. Find the inverse of A = == CN 2 1 -1 3 - -1 2 2 22 12 3 2 using Gauss-Jordan method.

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Q: 14. Write the given system of differential equation as a matrix equation X' = AX. dx = 2x + 3y, dt…

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Q: Consider the vector-valued function R (t) = ( 8/3 t 3− t, 2t2 , 2 − 2t2 ) - Find II R(t) II…

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Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

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Q: Inz) = Inr ei ) = Inr) + In ( e°0 )=ln r+iᎾ z = reie

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Q: Solve the differential equation using inspection method d'y d³y dx5 dx³ = 24.

A: We have given a differential equation ,  d5ydx5 - d3ydx3 = 24 This would be written as ,  yv - y'''…

Q: Given the polar curves: C₁:r = 2 cos 0 π 2 C2 B(0,0) C₁ A(2,0) C₂:r = 2 cos 30 Find the (sum of)…

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Q: All the following PDEs are nonlinear EXCEPT: (A) Uz 1 U₂ +-Uy= y U (C) Uaz + Uz Uy = 1 (B +u= F zy…

A: We find which of the given partial differential equations is linear.