27. f sec³x tan x dx

Q: 23. √² (2x − 3)(4x² + 1) dx 25. (4 sin 0 - 3 cos 0) dº 24. f', t(1 − 1)² dt 2 4 26. ² (²) ² dx .2 X…

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Q: Let be P odd an prime s.t- gcd (y² + 4v₁ p) = 1. 2 If (x + y √B ) ² = u ² + 4v (mod pk) (VK 6 N),…

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Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for…

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Q: . Expand: (i) (2x - 3y)4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 34. 35. T/3 sin 0 + sin sec²0 S™/² 0 r82 + t 5,³ 82; 3/42 ~ dt tan²0 de 64 36. Jo √u (u - √u) du 0

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Q: Determine a conclusion. Choose the correct answer below. the null hypothesis. There is difference…

A: That is, there is no evidence to conclude that there is significant difference between the two…

Q: In Exercise find the directional derivative of f at the point P in the indicated direction. f(x, y,…

A: As 2 questions are given, I will solve only one : We are given: f(x,y,z)=z2exy and the point is…

Q: [Problem 1] Prove the following statements formally. a) Let f(n) b) Let f(n) = = log2 (n) and g(n) =…

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Q: Suppose X₁ and X₂ are i.r.v. and come from gamma(2a, 2). Show that U = X₁ + X₂ comes from gamma(4a,…

A: Given that X1 and X2 are i.r.v. from a gamma distribution.want to show that U=X1+X2 comes from a…

Q: TikTok users spend an average of 55 minutes per day using the app. A researcher believes the time…

A: From the provided information, Sample size (n) = 61 Level of significance (α) = 0.05 The test is…

Q: Consider the function, f(x) = x³ + x² – 9x – 9. (a) Graph the function. (b) What are the x- and…

A: Given,  f(x)=x3+x2-9x-9.

Q: би 27. f. (4+ 6) dhe du 29. St Si √√5 dx X 2 28. f. (2-1) dp 8 2 30. 6. ( Z - √w) do ૨) dw 1 w

A: As per the guidelines I am supposed to solve one question at a time. Please repost other questions…

Q: 7. If aatiß = (x + iyy*4, a>0, prove that %3D (i) a = 5 log, (x + y) -q tan log, e- loga (r + y) =…

A: The given isaα+iβ=x+iyp+iq,a>0.prove thati α=12logax+y-qtan-1yxlogaeii logax2+y2=2αp+βqp2+q2

Q: Construct a strengthened conditional proof for the following. (M 5 O) > (N ɔ P) Q כ (P כ M) .: Q

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Q: Given: F(s) = (2s+3)/(s² -2s +5). Evaluate: f(1) Use 2 decimal places. 5.67

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Q: Let I (a, b) be a bounded open interval and f: I R be a monotone increasing function on I. (i) If f…

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Q: If G is a graph, then the sum of its vertex degrees is nonnegative and even.

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Q: nd meets the uses at A, B and C. Show that the locus of the point of i lanes through A, B and C…

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Q: Show that Pn satisfy the following recursion Pn+1 = P&Pn-k- k=0

A: To show : Pn satisfy the recursion ∑k=0nPkPn-k=Pn+1   ...i it is given in the problem that P0=1 ,…

Q: Discuss the continuity of the following function: (2* (1– x), x 0 x = 0

A: Consider the given:

Q: 4 Anlit Inl) find Am

A: Given that 1+nm-1≤Am1+n-m. The objective is to find Am. -a+bm≤am+bm≤a+bm

Q: Evaluate the integral 10 S₁ 15x-3 ldx

A: This question can be solved using the concept of modulus function. As per modulus function a=a if…

Q: Establish that if a is an odd integer, then 2" a“ = 1 (mod 2" *2) for any n 2 1.

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Q: Let M be a proper ideal in a Boolean ring R with unity. Prove that (1) R/M is a Boolean ring and…

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Q: Evaluate the integral. 9 sin-1 x dx NOTE: Enter the exact answer in expanded form.

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Q: 37. f (√x + √√xª) dx - 39. √5²|x − 3 | dx 41. ², (x - 2|x) dx 38. f'(1 + x²)³ dx 40. ²|2x - 1| dx…

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Q: n! n! (r+2)! (n − r − 2)! (r+2)! (n−r−2)! + n! (r+1)! (n −r − 1)! (r + 2) n+1

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Q: 37. S¹ (√x³ + √/x4) dx 39. ₂₁ |x − 3 | dx - 41. ², (x - 2)x) dx 38. f' (1 + x²)³ dx 40. ²|2x − 1| dx…

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Q: evaluate the integral 30 6x+フ×+1

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