First derivative of ₂ F₁(x): dx {2F₁ (a, b; c; x)} = a.b C 2F₁ (a+1, b+1; c+ 1; x)

Q: 1. In each case explain why R is not a ring. (a) R= {0, 1,2,3,...}, operations of Z (b) R = 27 (c) R…

A: We know  a Ring is a set R with two binary operation + (addition) and · (multiplication) such that R…

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Q: stem -3x + y + 6z = 20 8x + 2y + 3z = 51 2x + 5y + z = 23 al solution.

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Q: 6. Sketch the reciprocal of function below. и -6 -4 -2 6 -4-1 -2₁ -4† 4 6 00 8

A: Answer :

Q: Prove that : L₁₁ (1-x²) Pm P'dx 0, 2n (n + 1) 2n + 1 mn. m = 1. m, ne N

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Q: A = (8A)-1 1/4A -9/8A - [. = 24 -9 2 1/2A 1/4A

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A: We can find the volume.

Q: Describe all numbers n EN that satisfy oo(n) = 3. Justify your answer.

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Q: (b) Find a basis and dimension of the vector space B-C J = where B U = {A € M22 | AB = BT A},

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Q: Such that A = {x ∈ N / X 7} find n(R) + n(S) + n(T)

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Q: Given the sets U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {0, 2, 4, 5, 6}, and B = {0, 2, 4, 5, 8}, use…

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Q: Given f(x) = (8/7)(1/2)*, x = 1, 2, 3. Determine the expected value of g(x) = X².

A: This question related to topic expectation from statistics

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Q: 4. If three dice are rolled, what is the probability that a 1 will appear on each die?

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Q: Prove-that '(2) r' (₂+1) ¹ (2+ |) T(₂) nd thus derive Legendre's duplication formular 2' (2) T(2:)…

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Q: 1. 2y + 184 y". = 6 tan 3x

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Q: 1. Indicate whether the following functions are strongly convex. Justify your answer.. (a) f(x) = x…

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Q: Find the GS of (x+y+z' = et x+y+z' = et (x+y+z=et

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Q: point) On a sketch of y = In(x), represent the left-endpoint approximation with = 2 approximating…

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Q: 1Q. Compute the following: a. (2+5)* b. (4-3i)¹/6 c. Simplify: cos 40+isin40 cos 50+isin50 d. If z =…

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Q: Solve (x³ +64)6(81-x4) (x6+2x4-3x²)(4+x) ≤0. Express your answer in interval notation.

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Q: B Evaluate the piecewise function f at the given x-values. Write the answer using function notation…

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Q: 15. y(4) +5y" + 4y = g(t); y(0) = 1, y'(0) = 0, y"(0) = 0, y""(0) = 0

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Q: Sketch the graphs of the following:

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Q: Statement 6.5. Let A be a finite set. If BC A, then B is finite.

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Q: 4. How many different 9-digit numbers can be formed by using the digits in the number 277,728,788?

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Q: Evaluate the definite integrals ∫0 1/2 sin^-1 x/√1-x^2 dx

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Q: Find the 5 number summary for the data shown below. 31 3 27 2 86 15 34 94 53 82 5 number summary:

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions. Label all…

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Q: is I meter above the ground. The six o'clock position on the Ferris wheel is level with the loading…

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Q: 2 Obtain a power series solution of the equation (1 + x²)y” − 3xy' – 5y = 0 - - up to and including…

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Q: This problem is adapted from an exercise in the textbook. Consider the line integral [√x + 2yds…

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Q: Consider the following differential equation. (sin(y) - y sin(x)) dx + (cos(x) + x cos(y) - y) dy =…

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Q: Can you please answer the following:  List all families of sequences (give some examples). And…

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