Make the orthagonal set of functions {1, cos(x), cos(2x), ...} orthonormal on the interval [0,2pi].

Q: Approximate (a) cos 0.8 and (b) cos 1/2 using the linear approximation technique

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Q: Q) Plot, on the same figure, two related functions of y1 = sin? (x) and y2 = cos (2x), in the…

A: The two curves to be plotted are  y1=sin2x and y2=cos2x.

Q: Evaluate f da V5-

A: we have to use substitution method to solve this integral. these are basic integral formulae which…

Q: The interval(s) that contains the root(s) of the equation below is/are: cos +x² – 3x = 0 A. (-2,2) &…

A: Let's find.

Q: Prove that x2 cos x dx = T(2 – n) (+ sin æ)?

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Q: Let f(x)=tan−1x. Characterize the interval (a,b)(a,b) such that f-1 (a,b) is empty.

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Q: The function y = 2x – cos x have two variables (x and y), these variables called

A: Here, the given equation is y=2x-cosx , which is a function of two variables(x and y). The name of…

Q: Find the absolute max. and min. of each function y=√4−x^2, (−2,1)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: cos (2x) -dx C Cos (x (x)

A: Use substitution method.  Convert cos(2x) = 2cos^2(x) -1

Q: f (x) = 3 sin x + 3 cos x, [0, 27]

A: Consider the function: fx=3sinx+3cosx Differentiate the given function with respect to “x” then,…

Q: Describe with a sketch the end behavior of f(x) = cos x.

A: Given:            f(x) = cos x  The cosine function oscillates between values -1, 1 as x→∞ Hence it…

Q: if f(2) = zsin(z) -1 defined on the interval (2. 3] then es using False-Position method equals [x in…

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Q: Evaluate sec³ (0) tan³ (0)dē. ○ sec (0) - sec³ (0) + C ○ sec³ (0) + sec³ (0) + C O sec³ (0) + sec(0)…

A: Step 1:To solve the integral ∫sec5(θ)tan3(θ)dθ, we can use substitution and trigonometric…

Q: Find F as a function of x and evaluate it at x = 0, x = /3, and x = = Tt/2. F(x) 6 de

A: We will use basic formula of Integration for first one and from second part just Value of the…

Q: Graph the function y=-cos (x) on [0,pi]

A: Giveny = -cos x

Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

Q: DIFFERENTIATE THE GIVEN y = x² co sec™ 3 -1 * COS

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Q: (e) S, In|x| dx.

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Q: Solve the non-linear function using NR AND Secant Method. Use 5 decimal values and stop at & S…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Use the addition formulas for sinhx and coshx to prove that tanh(u+v)= tanhu+tanhv/ 1+tanhutanhv

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Q: Solve tan? (0) 1 on the interval (0, 7). || 0 = ||

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Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative