8. Prove: 2 1-tan x 1+tan²x cox2x.

Q: Consider the following planes. 3x + 6y-z = 126 x 12y + 2z = 0 (a) Find the angle between the two…

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Q: Determine the volume of the solid formed by revolving the area bounded by x² + y² =25 and x + y = 5…

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Q: Rewrite the following as a sum of trigonometric functions with no powers greater than 1. cos² (2x) =…

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Q: So sin¹ (6x) cos (3x) dx

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Q: of a sequence and its series. Giver (An) is convergent. } is convergent.

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Q: Find the radius and interval of convergence of the power series (−1)″ (x+2)" √n.3n n=1

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Q: Use the counting techniques from the last chapter. A bag contains two red marbles, three green ones,…

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Q: The population of a certain state from 2000 to 2010 was recorded. During that decade, the state grew…

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Q: A region bounded by f(y) = 2y – 2, y = 3, and x = 0 is shown below. Find the volume of the solid…

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Q: Use the Integral Test to determine the convergence or divergence of the following series, or state…

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Q: identifying functions fro Espatol For each relatie, decide whether or not it is a function. Domain…

A: Function : A function from a set X to a set Y assigns to each element of X exactly one element of Y.…

Q: Evaluate the limit lim 8118 2 tan ¹(2x). Enter a simplified multiple of π or ∞ or -∞

A: This question is based Limits.

Q: cos xdx 54-sin²x

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Q: here are two regions bounded by the line y=x and the curve y=x^3, one in the first quadrant and…

A: Given problem:- There are two regions bounded by the line y=x and the curve y=x^3, one in the first…

Q: Use Newton's method to find the zeros of f(x)= 3x4 - 3x² using the given starting values in (a)…

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Q: lf ƒ(x) = (3x − 2)² (6x² + 7)³, find ƒ'(x) using logarithmic differentiation.

A: This question can be solved using the concept of logarithmic differentiation.

Q: Suppose de cos 0 sin³0. Answer the following. 6) Separate the differential equation, then integrate…

A: answer is in next step.

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: 2x + 5 Consider the function f(x) 52+1 For this function there are two important intervals: (-∞, A)…

A: A function f is increasing on the interval I if f'(x)>0 for every x in I A function f is…

Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = - y(0) = = -1

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Q: √ [F(x₁) Evaluate f(x, y) ds. f(x, y) = xy S: r(u, v) = 8 cos ui + 8 sin u j + vk Osus, OsvS1

A: Given that   we have to evaluate ∫S∫ f(x,y)dS  and                                fx,y =xyS: ru,v =…

Q: Use integration by parts to evaluate [x²mx In x dx

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Q: Use log, 20.401, log, 3≈ 0.503, and log, 5 0.794 to approximate the value of the given logarithm to…

A: Given : logb2≈.401 , logb3≈.503 and logb5≈.794 To find : logb75≈?

Q: Use integration by substitution or integration by parts as appropriate to evaluate S given that A-4…

A: Given: A = 4 and B = 3.      ∫0π24xsin3xdx=4·∫0π2xsin3xdx=413-xcos3x-3·∫…

Q: Problem 12. Find the absolute maximum and absolute minimum values of the function over each of the…

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Q: If the point (4,-7) is on the terminal side of the angle in standard position, sin (0) = cos(0) tan…

A: Here we have to find the value of trignometric functions.

Q: In 2010, the population of the United States was approximately 310 million with a 0.97% annual…

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Q: Find the solution of the initial-value problem of xy ³ √1+x²¹ y' = y(0) = -1

A: Here we have to solve the differential equation.

Q: question 15 please

A: Topic:- integration

Q: Verify the Divergence Theorem by evaluating F.NO N ds as a surface integral and as a triple…

A: To verify the divergence theorem. And to evaluate the surface integral.

Q: Given the vector field F(x,y) = [x/((x^+y^2)^(3/2)), y/((x^+y^2)^(3/2))], Find a fucntion f(x,y)…

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Q: Use implicit differentiation in finding y'. 1. x² + y² =18xy 2. x²y + xy² = 6

A: Given,x3+y3=18xyDifferentiate w.r.t.'x'(Use product…

Q: Find an explicit formula for the sequence defined recursively such that a₁ -4 and an = an-1 + 6.

A: We have to find the explicit formula

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A: Given that a sequence which is defined recursively by the formula given below:-an=an-1+an-2-(i)…

Q: Find the exact sum of the following series O. In 3 2 1 In(3) --- / 2 In ( ²2 ) 32 3 In (²2) - ○…

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Q: Please TYPE this out.  I do not want it handwritten.

A: The given function is y=xx4+4

Q: It is a fact that the function  f(x) =  9x − 8 x + 8  (**it is 9x-8overx+8  9x-8/x+8)  has a…

A: We need to find limiting value.

Q: -5 -4 -3 -2 15 -30- -45 -60- -75 -90 -105- -120- -135- J 2 For the above quartic polynomial f(x):…

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Q: Find the equation of the tangent line to the curve y 6x cos x at the point (π, = The equation of…

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: 4 F(s) = 3s7 (s²+3)

A: First to find the partial fraction decomposition of the function: F(s)=43s7(s2+3) For that let,…

Q: Write as a single integral in the form 6 b [Fx f(x) dx f(x) dx. 5 -1 [²_f(x) dx + [³f(x) dx - [ ^_^…

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Q: dy Find the complete solution of 2 + 4y = 1 dx

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Q: dy Find for dx 1 y=-=-72-8√x x

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Q: A region bounded by fly) = 2y, y = 1, y = 3, and x = 1 is shown below. Find the volume of the solid…

A: The objective of the question is evaluate the volume of the given region.

Q: Evaluate the following limit using L'Hospital's rule. lim 0 1 11e 11 3 33x

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Q: Sketch the region of integration and evaluate the following integral. !!! dA, R=((,0): 0 sr≤3,x=0=2}…

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Q: Which of the following series should be used to determine the divergence of the series Σ, V5n2+2n+4…

A: Given :- ∑n=1∞5n2+2n+4n

Q: n Use the comparison test to determine if the series n=1n²³+²+1 converges or diverges.

A: The given series is ∑n=1∞nn3+n+1 we have to find the series is converges or diverges, by using…

Q: If cos(x) = (in Quadrant 4), find 19 21 Give exact answers. sin(2x) = cos(2x) = tan(2x) = = Submit…

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