Verify the identity. (Simplify at each step.) 3 cos(x + y) cos(x - y) = 3 cos(x) - 3 sin²(y)

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A: GIven: the equation z =ln(x2) +2xy-ex y

Q: Now integrate and simplify V = 2π 2x (64 V = 2π = 2π 16 = 2x [64. = 2π 3 4096 3 2 -√³ (8 2048 X T (8…

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is divide both sides…

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A: The Solution is given below

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Q: Assume that I and y are both differentiable functions of t and are related by the equation y = cos…

A: The equation is given as , y=cos5x and dxdt=-4 when x=π10 find dydt when x=π10.

Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (a) e²-1 X…

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A: We need to find nth term.

Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (a) et - 1…

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Q: Find the indefinite integral. (Use C for the constant of integration.) tan? 10 sec 1. X X dx

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Q: Obtain the particular solution. 1. 2y dx = 3x dy ; when x = 2 , y = -1 .

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Q: Needed urgently... do it as fast as possible

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Q: The price per share of a stock can be approximated by the function S(t)=t(29-3t) + 28, where t is…

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Q: The graph of f(x) is shown (see figure). 5x √2+7 (a) Find the following limits. Llim f(x)= 5 K- lim…

A: We have to determine x1, x2 , M and N.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e³ti+ sin(4t)j + e-6tk…

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Q: Find the derivative of the function y = Provide your answer below: y = 0 3x² √x-7 using logarithmic…

A: NOTE: Refresh your page if you can't see any equations. . take natural logarithm on both sides

Q: 5. Evaluate f ²√3.r³ + 1dx JO

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Q: In 2000 the birthrate in a certain area increased from 16e0.02t million births per year to 22e0.02t…

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Q: Find a second-degree polynomial P such that P(1) = 3, P'(1) = 2, and P"(1) = 4. P(x) =

A: Given problem:- Find a second-degree polynomial P such that P(1) = 3, P'(1) = 2, and P"(1) = 4.

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Q: A country's annual imports are I(t) = 30e0.2t and its exports are E(t) = 15e0.1t, both in billions…

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Q: Taking 2 cm to represent 1 unit on the y axis draw the graapfof y=4x-x^3 for the range -2.5

A: We need to draw graph.

Q: Find the indefinite integral. (Use C for the constant of integration.) Jo (20x3 + 8x 5) dx

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Q: Find the standard form of the equation of the ellipse with the given characteristics. Center: (1,…

A: This question can be solved using the concept of standard form of  equation of ellipse.

Q: 10. Given f(x) > 0 with f '(x) 0 for all x in the interval [0, 2] with f(0) = 1 and f(2)= 0.2, the…

A: Given f(0)=1f(2)=0.2given values are for the left, right, trapezoidal, and midpoint rule…

Q: Find the centroid of the region bounded by the given curves. x + y = 30, y = 0 1) y = x³, x+y= (x,…

A: Given y=x3 x+y=30 and y=0

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 5x − 7 dy = | y = X

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

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Q: Consider the function f(x) = 3x³-36x on the interval [-3, 1] Find the absolute extrema for the…

A: We will find the solution

Q: Assume that and y are both differentiable functions of t and are related by the equation y =…

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Q: Question 4 Find the derivatives of the following: i) iii) f(x)=5 (4x+7)(x-3) (x-2) f(x)=(3x + 1)4(2x…

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Q: Write the first five terms of the arithmetic sequence defined recu = 2.5, a 0+1=3 +0.75 (0 82 N 33…

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Q: An oral medication is absorbed into the bloodstream at the rate of 4e-0.04 milligrams per minute,…

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Q: dy Find at x = dt dy dt || 4 if y = 3x² + 5 and dx dt = 1.

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Q: Use the Quadratic Formula to find all solutions of the equation in the interval [0, 2π). (Enter your…

A: The general solution of cos θ = cos x  is : θ = 2nπ ± x , where n ∈ Z.