Hi, can you solve the question for me step by step, I will rate up if the working is correct. I will post the answer together with the question.

Answer:





Hi, can you solve the question for me step by step, I will rate up if...
Hi, can you solve the question for me step by step, I will rate
up if the working is correct. I will post the answer together with
the question.
Answer:
Question 4 A particle of mass m is moving in a horizontal plane in a circle of radius R, with angular velocity 6, anti-clockwise given by é t+cos(2t) Implement plane polar unit vectors er and ee, in the horizontal plane, and k in the vertical direction, giving a right-handed coordinate...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
5. Evaluate the following differentials (a) det? (b) d sinh ở (c) dx sin (d) do y 6. Find the exact values of the following expressions. Justify your answers using the definitions of they hyperbolic functions. (a) sinh (In 3) (b) cosh (In 3) (c) tanh (In 3) 7. Suppose cos 2 + siny = 1 (a) Use implicit differentiation to find y' = dy. Simplify your answer as appropriate. (b) Use implicit differentiation to find y" dy. Simplify your...
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Find out the polar form of the complex number 1-i from the following options. O cos A + i sin tä o COS 3 + i sin 37 4 O 1 cos CE + i sin O cos + i sin ſ Find the derivative of the function f (z) = 272, at z = -1. You do not have to use the concept...
Tutorial Exercise Evaluate the integral using the substitution rule. sin(x) 1/3 1* dx cos(x) Step 1 of 4 To integrate using substitution, choose u to be some function in the integrand whose derivative (or some constant multiple of whose derivative) is a factor of the integrand. Rewriting a quotient as a product can help to identify u and its derivative. 70/3 1." sin(x) dx = L" (cos(x) since) dx cos?(X) Notice that do (cos(x)) = and this derivative is a...
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5.5 EXERCISES 1-6 Evaluate the integral by making the given substitution. 1. cos 2x dx, u= 2x 2. | xe dx, u = -x x3 + 1 dx, u= x + 1 sin cos e de, u = sin e - dx, u=x4 - 5
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Use Green's Theorem to evaluate the line integral (y – x) dx + (2x - y) dy for the given path. C: boundary of the region lying between the graphs of y = x and y = x2 – 8x Need Help? Read It Watch It Talk to a Tutor 2/1 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 15.4.012. Use Green's Theorem...
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Let C be the curve consisting of line segments from (0, 0) to (3, 3) to (0, 3) and back to (0,0). Use Green's theorem to find the value of [ xy dx + xy dx + y2 + 3 dy. Use Green's theorem to evaluate line integral fc2x e2x sin(2y) dx + 2x cos(2) dy, where is ellipse 16(x - 3)2 + 9(y – 5)2 = 144 oriented counterclockwise. Use Green's...
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|(a) Differentiate the following functions with respect to and simplify your answer 1. possible far as as -5 1 mark (ii) esin (2r [4 marks 11 y = In(a) [5 marks (b) Determine the following da : sin (i) 6 marks dx 11 - 1)(x +3)
|(a) Differentiate the following functions with respect to and simplify your...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...