To begin evaluating | sin*xcos xdx conveniently , express: A) None B sin*x as (sin?x)²and use the Half - Angle Formula sin²x=÷(1- sin sin*x as (sin?x)2and use the identity sin?x=1- cos?x (D cos x as (cos?x)²cosx and use the identity cos²x=1- sin²x cos x as (cos?x)?cosx and use the Half – Angle Formula cos²x=-(1+cos2x) 2

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: f(x)=13exIntegrate on both sides:∫f(x) dx=∫13ex dxF(x)=13ex+C

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A: Slope of parallel lines are same

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Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

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Q: Use the Laplace transform to solve the given integral equation f(t) + (t – r)f(t)dt = t f(t) =

A: Note that, the convolution theorem says: If g(t)*f(t)=∫0tg(t-τ)f(τ)dτ then…

Q: To begin evaluating sin*x cos°x dx , express A cos x to (cos?x)cosx and use the identity cos?x=1-…

A: We have to use option (A) cos^5x to (cos^2x) ^2

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Q: Question 9 – 4 Evaluate: Vx* dx ④ -VR-4-25ec-1(즐)+c + C ① -R-4+2sec-1(즐).c B + C = 2/x2 – 4 + sec +…

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Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

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Q: If  ?⃗×?⃗ = ⟨−3,5,−4⟩ and ?⃗⋅?⃗ = 4, find tan(?), where ? is the angle between ?⃗ and ?⃗.

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Q: Sa 4 tan e sec? Ode tan0-2tan 0–15

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A: sinπ3 = 32 and  sinπ-π3=32 cosπ3=12   and   cos2π-π3 = 12 .

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A: To write that it is true or false.

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A: The given function,  g(t)=3t5-20t4+30t3+80

Q: that

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Q: Find the general solution of 2 4 4 X' = -1 -2 0 X. -1 -2

A: To solve the following problem

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A: We have to evaluate the above integral.

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A: Explained below

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Q: 2. Find the unit vector in the direction of

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Q: Given sec A = and that angle A is in Quadrant I, find the exact value of sin A in simplest radical…

A: Topic = Trigonometry

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A: answer is in next step

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A: Solution is here   True

Q: Question 9 x² – 4 Evaluate: V A =Vx² - 4 – 2 sec-+ c =V x2 – 4 + sec¯ + C = 2/x? – 4 + sec + C D x2…

A: The integration of the integral is sqrt(x2-4)/x.

Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 - cos(3e") - -cos(11e*) +C 22 sin(3e") - sin(11e*) + c 22…

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Q: 1. Use the trapezoid (a) (b) (c) x In x dx; with (h = 0.1)

A: f(x)=x ln(x)   x 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 f(x) 0 0.10484 0.218785 0.341073…

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Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x +x - 4, k= - 1

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