4kT 47/13 f(t)dt for a suitable function Express the expression n k=1 Cos as the Riemann sum for an integral of the form 13n f. 4kT Hence find lim n+00 n cos 13n k=1

Q: 5. Write the Riemann Sum associated for the definite integral fő √x dx? A) R₁ = lim 1 √√(² Σ=1 (7)#…

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Q: Compute the Riemann sum L4 for the function f(x)=2 cos x on the interval [0, 7]. Enter your answer…

A: To find the left riemann sum.

Q: (4)Evaluate the definite integral (a)(1+ si 0 1+ sin x)dx (b) (2t+cost) di (b) f( -x/2 x+ X - dx R/4…

A: Explanation of the answer is as follows

Q: (b) Prove that the Fourier series for f(x) is: 1 f(x) = ²0 (si -20 (sinx + sin3x +sin5x + ...) TU

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Q: Evaluate the integral [ 3 sec(x) tan(x)dx O 3sec(x) + C 3tan(x) + C O 3sec(x)tan(x) + C O None of…

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Q: (b) Use induction and the Product Rule to prove d. -I" = nr"-1 for all n E No.

A: First principle of mathematical Induction : Suppose Pn is any statement dependent on n  where n∈ℕ .…

Q: Please find all 0 <0 < 2n, for which .. (a) tan () = v3 (b) 3 sin? (0) + 4 = 5 (c) 2 cos(ln(x² + e*)…

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Q: You are given that the Fourier series for the function f(x) on the interval (-TT, T) is 1 ao an cos…

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Q: Use the addition formulas for sinh x and cosh x to prove tanh u + tanh v tanh(u + v) = 1+ tanh u…

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Q: Dw many critical points does the fu

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Q: ) = 31 + 3E, = 2E2 = 3, =4E, = 5| and A = 1| Find Ef(x) Ax! The sum in part (a) approximates a…

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Q: X Let F(x) = ²* sin(6t²) dt. Find the MacLaurin polynomial of degree 7 for F(x). Use this polynomial…

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Q: Find Z 2 order Sinz + 324 of the order of the zero at 2=0 pode of and 1-cosz 24 ot 2=0

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Q: Please find all 0 <o< 2m, for which .. (a) tan (을) =D v3 (b) 3 sin²(0) + 4 = 5 (c) 2 cos(ln(x² + e")…

A: As question has many subpart we are giving solution for first three subpart. If you want solution of…

Q: Show that sin(x^2) ≤ sin x for 0 ≤ x ≤ 1. Deduce that sin(x^2) dx ≤√2/2 on the invterval [0, π/4]

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Q: Find the indefinite integral. p. xV144x-49 1. -arc sec 7. (17x) +C 12 A) 7x B) 7arc sec +C 12 144x 1…

A: To evaluate the given indefinite integral.

Q: The Fourier series for the function f(x) = x, -T < x < T is sin nx E(-1)"-1; n n=1 a) Sketch the…

A: Given the Fourier series s1=∑n=1∞-1n-1cosnxn2=π2-3x212,-π&lt;x&lt;π.…

Q: Find the indefinite integral. [(sec e tan ()i + (tan t)3 + (2 sin t cos t)k] dt Integrate the given…

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Q: 10.) Express the integral f sin 100 xcos 301 xdx in the form fp(u)du where p(u) is a polynomial and…

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Q: Which integral can be approximated by a right Riemann sum where f(x) = 2x3 + 3 on the interval [2,…

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