3. Draw the special angle triangles. Then complete the table for the following trigonometric ratios. TU cose π 73 R4

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A: Solution

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A: Let us differentiate the functions with respect to x in the next steps.

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A: We know that the equation of the x-axis is y=0 and the equation of the y-axis is x=0. We have to…

Q: 4. In Chebyshev polynomials form, the value cos 20 = ... a) (T₂(x) + T₁(x)) c)(T₂(x) - T₁(x))) O b O…

A: Solution

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A: Given that the first function is y=4x+3 and the second function contains the following table of…

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Q: 4. Prove that a permutation matrix is orthogonal.

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A: We have to find the value of ∫Czn dz where n≠1 and C is a closed contour z=r

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A: We can solve this using definition of singular points

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A: Given: A is an n×nmatrix, whose LU decomposition is PA=LU.   To show: detA=-1ru11u22...unn, where r…

Q: Jy Find the area of the inner loop of the curve r = 9 cos 0 - 4 by using double integral.

A:

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A: Given that,   (a) Group of order 40. Let G=40,  i.e, G=40=23.5, Since, 5-Sylow subgroup, i.e…

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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A: Solution: Given a function f:-π,π→ℝ : x↦1+2x+sin2x By Fourier Series, f(x)=a02+∑n=1∞an cosnx+bn…

Q: 12. If the x-term is missing, then the quadratic equation cannot be used.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 1. Suppose £5000 is invested for five years. Calculate the amount accumulated at the end of five…

A: As per the guidelines i had solved the first questions kindly post another questions separately.

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A: Given,         x'=400-595004x

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A: Here we will find how to use integration by parts

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Q: Find the volume of the paraboloid, z = 9 - x² - y², that lies inside the cylinder x² + y² = 4.

A: It is seen that the paraboloid and cylinder both are extended upto negetive infinity of along z…

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Q: 40. When a vertex Q is connected by an edge to a vertex K, what i the relationship between Q and K?…

A: This is a problem of graph theory.

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A: Given improper integral  ∫0∞1xdx

Q: Prove the following trigonometric identities. 1 cotx a) 6 cosx| 6 cosx = 6sin² x COSX CSCX

A: The details solution is given below

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A: Write the ratio of 3/10 to 1/10 in the lowest term.

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A: x-22-lnx=0

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A: Solution : Given, y"+cos(x)y=0 Let Expanded form of y is , y=∑n=0∞Cnxn y'=∑n=1∞Cnnxn-1…

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Q: Show that for the Legendre polynomials Pn the following holds for all n E N (n+1) Pn+1(x) − (2n…

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Q: can't understand the symbols used and the handwriting is blurry

A: Solution:- The objective is to formulate the mathematical model that minimizes the largest deviation…