Find the exact solutions of the equation in the interval [0, 2x). tan(2x) – cot(x) = 0

Q: The function y sin a is also which of the following functions?

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Q: Show that the equation is an identity.

A: x3+8x+2=x2-2x+4LHS=x3+8x+2=x3+23x+2

Q: Example: show that u(t)=sin t i + cos t j+ 5k has constant length and is orthogonal to its…

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Q: solve using newton raphson f(x)=cos3x

A: As per the question we are given a function : f(x) = cos(3x) And we have to find the root of the…

Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A: The given quantity is  sin(2π-x)

Q: Give an example of a value of z such that the equation sin(x ) = z is unsolvable.

A: We have to give an example of a value of z such that the equation sinx=z is unsolvable.

Q: Find the values of x which satisfy the below equation. Please write down all the steps that you use…

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Q: is a root of the equation y2 + ycot x cos x - 1 = 0

A: Here we have to show that, y = sin x is a root of the equation y2 + ycot x cos x - 1 = 0

Q: 3) Find the first and second derivative of each of the following functions. Write your answer with…

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Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

Q: Evaluate sin(In æ) dæ .

A: To evaluate the given integral.

Q: If f(x) = -2[cos (2x)] +5[sin(3x)] is a neither function. Determine value for a and B. a=3 and B=2…

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Q: II. Give the indicated derivative 1) find the 27th derivative of cos x

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Q: find f'(x). Answer: f(x) - 5 sin x 1 + cos x

A: f(x)=5sinx1+cosxd dx(sinx)=cosxd dx(cosx)=-sinx d dx(ab)=b×d dx(a)-a×d dx(b)b2

Q: 2 Ix sin'x COS X x² 2. (x sin?x? cos x? dx

A: ∫ xsin3x2cosx2dx

Q: Consider the following. -6 X = 4 Explain your reasoning. -4 2 4 For what value(s) will Newton's…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

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Q: What is the derivative of 0.50 sin 2t+0.30 cos t

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Q: sin 0.5 va Find the first-order derivative of y = at x = 2 and h = 0.2 a.) Forward difference b.)…

A: Three approximations to the derivative of function f(x) at x=k are 1.  the one-sided (forward)…

Q: The first derivative of the implicit function sin 2x = cos 2 A. -cos 2x/sin 2x B. cos 2x/sin 2x C.…

A: To find: The first derivative of the implicit function. Given: The given implicit function is…

Q: dr = b (cos(O)dr + r sin(O)dO)

A: Given dr = bcosθ dr+rsinθ dθdr(1-bcosθ) = rsinθ dθdrr = sinθ dθ1-bcosθintegrate on both sides to get…

Q: Q7. Solve the following equations: 3.2. cos¹ 4x-sin' 4x+x

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Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) =…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.