A. Find the directional derivative of the function at P in the direction of v. 2. f(x,y) = P(1,1) v = -j B. Find the directional derivative of the function in the direction of the unit vector u = cos 0 i + sin 0 j 3. f(x,y) = x+y' %3D

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Q: 2. Find u, 3v, v-u, and 2u +5v. 3. u = (5, 3), v = (3, -2) %3D

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A: Given matrices are We will find the product BA as follows.

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Q: 8 -9 9 -2 LOMA- [2 ²3] and B-[37] Let = B= 1 (a) Find 5A + 6B. 94-57 5A +6B = 28 21 (b) Find 6A-5B.…

A: Addition and subtraction of Matrices

Q: 27-3 Det A=-1 5 - 4 690

A: DetA=  2   7  -3-1  5  -4   6  9     0=+25-49   0-(+7)-1-4   6   0+(-3)-1  5   6  9…

Q: |h -4 -2 10 h -9 4 Find an LU factorization of A=| 0 h=102 -4 0 1 4 4 h/2

A: A=102-4-210102-94200-42014400051 In this problem, we have to find matrices L(lower triangular) and…

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Q: -5,-12, -19,-26, .. A а, 3-5n + 1 %D a n = -7n + 2 а, 3D-7п - 12 a 72 D a, = 7n – 12 %D

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Q: A company makes 3 products P1, P2, and P3. Each product also uses two raw materials R1 and R2…

A: Given that a company makes 3 products The revenues are also given in the table…

Q: 3 4 1 2 -2 -1 6 -3| Select one: а. 4 b. -40 C. 40 d. -4

A: Solve for the determinants

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Q: (7x + 2) + (3x - 1) (3x + 7) + (2x - 5) (6x2 + 10) + (-4x² - 5) (6x+ 3) + (-6x - 3) (3x + x - 1) +…

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Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

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A: The given matrices are: A=1-2034-1-213 and B=4-23-180612 Find the value of AB.

Q: -18,-15-12 Calculate T2

A: we have to find out

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Q: G (5,8) H (4,-5) J (17,-6)

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Q: 2. X-5 y=2xtb

A: Given,         The system of equations are           y=23x-5          y=23x+6

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.