X = y = = 2
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Solve the system by inverting the coefficient matrix and using the following theorem:
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- To the data presented in the table, using the logarithmic transformation of the data y=a2.in which option are the coefficients a2 and b2, which will be found when the expression x^b2 is made up, given correctly? Process the decimal part with at least three digits. 17 32 48 56 71 _y. 35 70 135 188 277 Lütfen birini seçin: O a. a2-0.521 b₂=1.454 O b. a₂=-0.324 b₂=1.805 O c. a2=0.435 b2=1.876 O d. a2-0.147 b2=1.955 b₂=1.178 O e. a2=0.507Every separable differential equation is exact. (A) True B) FalseFind the differential equation of x (x + 2y) dy + (4xy + 3y^2-x) dx = 0
- g) x3 + y* = 16 2. Find the derivative (dy/dx) of the following functions: h) y = 3x7 – 7x3 + 21x2 i) y = (x² + 3)(5x3 – 4x) j) y = 1/(x? – 1)(x² + x + 2) k) y = sin x.tan x 1) y = (sin x + cos x) sec xMultiply the Following Vectors using cross Product method. W = † x F F = ( 5i + 3j – 8 k) N f = (2i – 4j – 5k) mverify that the function y=C1e^x +c2e^2x is a solution of the differential equation y''-3y'+2y=0
- Translate the given problem into a second - degree polynomial in x using Lagrange interpolating formula. X 5 6 9 12 y 13 14 Then find P'(x) and P'(x)Note: Answer All Questions on a) find the domain and range of three function bellow: 1) y =-2+V1- 2) y = In(x-3) +1 3) y = 2 sin(3x +n) +1 4) f(x) = xFind local extrema(maxima or minima)of the function. f(x,y)=2xy-5x^2-2y^2+4x+4y-4
- Answer the following: 1. Write an example of a matrix multiplication that is undefined. 2. If the expression A x B is defined, and if A is a 3 x 5 matrix, then what could be the dimensions of B? 3. Define Matrix multiplication in your own words. 4.Matrix C has dimensions 2 x 3, Matrix D has dimensions 2 x 3, and matrix F has dimensions 3 x 2. Find the dimensions of the following products: a. CD b. DF c. FC 11 Explain all your answer for each question use Reply"4. Solve the following linear system by using X = AB where X = y, A = Coefficient matrix, and B = constant matrix. x + 2y = 3 y = 7 3z = 9Evaluate the following matrix operation. 1. Find the sum of A and B given: a - [: ] %3D C d d. B = f g