9 sin³ (3x) dx Evaluate O-3 cos (3x)+cos³ (3x) + C O 3 cos (3x) - cos³ (3x) + C O 3 cos (3x)+cos³ (3x) + C - 3 cos (3x) - cos³ (3x) + C

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Q: HA 2

A: Topic: function

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A: To find derivative of the function.

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Q: ttt 1. lem f(x) = X-7-0 2. lim f(x)= x →∞ 3₁ f(8) = 4. f(-2) = 5. lem +(x)= X90+ 6. lem f(x)= 7. lim…

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Q: Problem 5. Find I sin sin 2x dx

A: Our Aim is to evaluate the integral given below:-∫sin (2x) -(i) by using two methods :-(a) Using the…

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A: Given Expression:- 3x-12+4x12+x32

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Q: 3.) dr de + rcot (0) = r¹ sin(0)

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Q: QUESTION 4 Evaluate tan³3x dx 01 1 tan3x -x +C tan ³3x + C tan ³3x + C tan3x - x +C

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Q: K Graph the function. Then answer these questions. a) What are the domain and range of f? b) At what…

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Q: Find ||7e – 4f||, assuming that e and f are unit vectors such that ||e + f|| = √√. (Give an exact…

A: We have given that....... e=1, f=1 Since,           e+f=32 ,  we have                32= (e+f).(e+f)…

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Q: Maximize f(x, y) = √11-x² - y², x + y - 2 = 0.

A: The given function to maximize is: f(x,y)=11-x2-y2 with the constraint g(x,y)=x+y-2=0...(1)

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A: Given query is to find marginal cost function and marginal cost at level of 55.

Q: 1. f(3x + 2)¹4 dx 2. S 4t³ (t¹ + 4)³ dt 3. √ √2x - 1dx

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Q: 2. Determine dy/dx of the following equation. y = a. C. eeez dy dx = dy dx eeez = e. None of the…

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Q: tion 8 of 22 Calculate the first, second, and third derivatives of y(x) = x² e²x (Use symbolic…

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Q: Let f(x,y) = 4√x+²³+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0.160.9) ³+ 4(09) +…

A: Let fx, y=4xy2+4y+exy By using the local linear approximation to estimate the following…

Q: FB 1.2 Arguing from first principles, find the derivative of the func- tion f defined by x+ f(x) =…

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Q: Calculate the scalar triple product u (v x w), where u = (1,5, 0), v = (-8, -9,9), and w= = (4,…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 -1 -2 -3 Find lim 2-2 Find lim z-2¹ 4 3 2 1 f(x)…

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Q: Use linear approximation to approximate ✓49.1 as follows. Let f(x)=√x. The equation of the tangent…

A: Tangent line equation of fx=x at x=49

Q: 5. The equation R(x) = -5x² + 15x + 20 models the revenue (profit-costs) of a company in hundreds of…

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A: Given, αdβ+βdα+αββdα+dβ=0

Q: In Weeks 7 and 8, we looked at the chain, product and quotient rules for finding the derivative.…

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Q: Find the limit as →∞ and →∞. Use this information, together with intercepts, to give a rough of the…

A: The given equation is y=x3(x+2)2(x-1) We have to find the x-intercept and y-intercept

Q: A particle is moving in a straight line with velocity given by v=2e-1 for 014 where v is in ms and…

A: A particle is moving in a straight line with velocity given by        v=2e-t2-1    for  0≤t≤4where,…

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A: solution is given below..

Q: D Question 8 In the Four-Step Rule, why is the cancellation of the Ax terms allowed even if Ax→ 0 is…

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Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (15,…

A: Ques 1 ∫015gx-fxdx This integration result in area of REGION 1. Hence answer is 11.

Q: If f(x) = (sin(x) S 4 + t dt and g(y) = = [ f(x). f(x) dx, find g^(1). 6

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Q: Assume that u. v = 6, ||u|| = 8, and ||v|| = 5. Calculate the value of (9u + v) · (u — 3v). (Give…

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Q: culate the cross product assuming that u x v = (6, 7, 0) vx (u + v) = (a, b, c) e symbolic notation…

A: Given query is to find the cross product.

Q: Problem 8. (a) Je* sin (2) (b) ) [(x +3 (c) [²² +3) In (x) dx (In (x))² dx Calculate each of the…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

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Q: Find the x intercept F(x)=In(x-4)

A: F(x)=In(x-4)

Q: x Carry out the following calculations following the rules for significant figures. a) 380.47…

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Q: 2014 O ०.२ ०.०२ 0.02 0.08 0.4 0.6 0.16 0.8 1.0 ।.२ 1.4 0.98 or 0.32 0.5 0.72

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