Option 1: Given sec 0 = where <0 < T. Calculate the exact value of sin cos 0 + tan² 0. Show all your work.

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A: Given that the series is

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A: The diversity is given by H(p)  H(p) = 2p(1-p)   H'(p) = d/dp(2p(1-p)) H'(p) = 2(1-p) -2p H'(p) =…

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Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: Let's solve given integral.

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Q: e costu(t) e-¹ u(t) Option 3 Option 4 • What is inverse Laplace for 1 (s + 1)² + 1 y (s) = te¹ u(t)…

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A: Given: The vector 'a' has a magnitude of 7. Its x component is 2, and its y component is twice its z…

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A: Topic:- algebra

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Q: 17. 18. 19. dx/ (9x² + 4) sin³ x cos x dx (secs x) dx / csc x

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Q: ∫0.00202003x^4/4-0.0185672x^3/3-0.0937054x^2/2+2.17676x+C

A: We have to solve it. But it's not clearly mentioned that, either We have to find integration or…

Q: Q1) L-1 1 s(s²-1)/ a) cosht-1 b) 1-cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of…

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Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

A: As we know that for complex analysis z=u+iv   then u and v are conjugate to each other.Then by…

Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

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Q: Which of the following functions is entire? For each, justify. f(z) = (x² - y²) - 2xyi

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Q: dr Suppose dx dt dy 4, = 3. Find given that r = dt dt x = 8 y = 2 Write your answer in exact form,…

A: Topic = Derivative

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Q: Find the horizontal and vertical asymptotes of this curve. 2x²+x-1 y= = x²+x-2

A: Given.