Prove the identity. = sin 2x %3D cotx+ tanx Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed desc select the More Information Button to the right of the Rule. Statement Rule

Q: uestion 1. Consider the second order partial differential equation = c? dx² (1) r an unknown…

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Q: Cadmium, a heavy metal, is toxic to animals. (The chemical abbreviation fo rooms, however, are able…

A: Given data: X 0.24 0.59 0.62 0.16 0.77 1.33 0.92 0.19 0.33 0.25 0.59 0.32…

Q: how will you convert thris punction into indeterminate porm ? In x lim X-o O cot x

A: We know that  ln(0) tends to -infinite and  Cot (0) tends to infinite

Q: Pls Help Me and show work. Thank You

A: given:   week1 week2 day1 5 8 day2 4 7 day3 6 9 day4 8 5 day5 2 5 day6 3 7 day7 7 8…

Q: Find the radius of convergence and interval of convergence of the series. 00 (8n)! n=0 R = I =? v ?…

A: Given series is

Q: Find an integer a such that a 400 = 1(mod 3911).

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Q: what is the parametric and symmetric eqvotions of the line that passes thrs point (4.-3,57 to beth…

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Q: x² – 10x – 5 dx |x- 1)-(x² + 1)

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Q: the following situation, find the mean and standard deviation of the population. List all samples…

A: See the Excel output

Q: For each equation of a surface given in cylindrical coordinates, sketch the surface and describe it…

A: Given: a) r = 7 b) θ =π2 c) z = 2

Q: 3. In this problem we will find the mass of the tetrahedron in the first octant bounded by the…

A: Given the tetrahedron is boubed by the coordinate planes x=0,y=0,z=0,and the plane x+2y+3z=6, the…

Q: 2. Sketch two complete cycles of the sinusoidal function described in the scenario. The temperature…

A: Given: The temperature of a liquid varies sinusoidally as it heated and then cooled repeatedly. The…

Q: 100 nd a number between 0 and 12 that is congruent to 2"modulo 13. Show your work.

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Q: Refer to image

A: Solution

Q: Find and classify the critical points of f(x, y) = (y – 2)x² – y². Justify your answers.

A: We use second order partial derivative test to find out maximum, minimum and saddle point

Q: Y 4x+1 /2x Зх +2 A Answer the following questions. a) I = b) AC =

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Q: de a YO Cos ? ( de) ja - 9+an? (d@) 2

A: Given :- ∫1cos2aθa-9tan2aθ dθ Can be written as, =∫sec2aθa-9tan2aθ dθ put u=(3i)tanaθa =>…

Q: Suppose the returns below are normally distributed. Based on these values, what is the approximate…

A: For the distribution (specified to be distributed normally) of the return (in %), it is given that:…

Q: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even.

A: Given: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even

Q: 5. Find the arc length of one loop (petal) of the polar rose r = 6 sin(40) . How did you decide on…

A: We need to find the arc length of any one of the 8 petals from θ1 to θ2 L=∫θ1θ2r2+drdθ2dθ Where…

Q: Prove that gcd(a + b, a - b) = gcd(2a, a – b) = gcd(a + b, 2b). Show your work! Justify each step.

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Q: Solve the equation on the interval [0,2x). cot x tan x+ 3.

A: Equation given in the question is: We can solve each part separately as follows:

Q: 1 Consider y(x) to be: y(x) and that point P (2, 1/5) lies on that curve. 1+2x (0) Find the slope of…

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Q: Let A and B be sets. The union of A and B is A U B = {x|x E A V x € B}. The intersection of A and 3…

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Q: 2x + 3y Find -dA, where R is the parallelogram enclosed by the lines 4x – 4y -- 2x + 3y = 0, 2x + 3y…

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Q: what is the deivative oF: tan(3x) eX y = In x

A: The given function is: y=2xtan(3x)ex8ln x

Q: 'Use Stokes' Theorem to compute | 1 F. dr where C is the curve where the cylinder a? + y? = 1…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.