Prove the identity. cos(3x) − cos^3 x = − cos x sin^2 x − sin x sin(2x)

Q: What intervals must be considered for finding solutions to the inequality x > 5-º? C. 03 d. x 3 a.…

A: Follow the procedure given below.

Q: Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

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Q: Find three positive numbers whose sum is 114 and whose product is a maximum.

A: follow the procedure given below.

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: ¡ (ew - 3) dw? O ew - 3w+C O - ew + 3W + C O -ew - 3W + C O ew - 3+ C

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Q: Find the inverse function (if it exists) of f(x) = ln (1-2x). If the function is not invertible,…

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

A: Given ,  You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes,…

Q: Find the real roots of the equation B 244

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Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.

A: Topic = Functions

Q: 18/17-16-15 2 2 1 -13-12-11-18-9-8-7-6 -5 -4 -3 -2 -2 + -2 $ 6 8 9 10 The curve above is the graph…

A: topic- trigonometric functions

Q: What is the domain of the reciprocal function of f(x) = 5x+1? {x € R\x2} c. b. (x=Rxs-) a. d. {x =R…

A: We can answer the question as below.

Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: Integrate f Osin-15x+C ○ -sin-¹5x + C 1 dx 1-25x2 - 5 H|K sin ¹5x + C cos ¹5x + C

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Q: 11) The inequality 3x-2 0 3x² - 9x x-2 d. <0

A: Given, 3x-2&lt;x+4x-2

Q: ((x)/)6 (1) (e) f(g(x)) ((7-))* (P)

A: Given;  f(x)=2x3 and g(x)=4x+5.

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A: Given y''+y=csc(x) Complementary solution: We will solve this equation by variation of parameters…

Q: Find f(x,y) and fy(x,y). Then find fx (2, -1) and fy (-4,3). f(x,y) = In 5x4 +8x²y²| fx(x,y)=…

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Q: y'(x) = 49e²7 -46₂2642 де +2.4e4x + 9.6ne 422 -4 HOW DID HE GET THE VALUE INSIDE THE CIRCLE, CAN YOU…

A: We need to find y'(x).

Q: -1 Range of f -4 -5 -6 O (c) Describe the relationship between the graphs. Domain of 1 -81 Range of…

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Q: Consider the following. u =(-4, 0, 2) v = (7, -7, 0) Find u x v. Determine if u x vis orthogonal to…

A: topic- vectors if dot product of two vectors is zero, then both are perpendicular to each other.

Q: Find the domain and the range of the function. (Enter your answers using Interval notation.) h(x) =…

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Q: Explain why x ≤- 2, 0 ≤ x ≤ 5 could not be the solution to (x-5)(x+2) ≤ 0.

A: This question is based on solution of inequality.

Q: How much must a person save monthly at an interest of 7.3% to buy a $15,000 car in five years?…

A: We have to find the monthly amount to save.

Q: lim x-0 tan x - x .3 X

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Q: Use sigma notation to write the sum. 7 [›( ² ) + ²] + [²( ² ) + ²] + ... + [>( ² ) + ²] X 7j 214 Σ j…

A: Given the sum is 714+2 + 724+2 + … + 784+2

Q: y" - 12y' + 36y = 12x + 3 nd the complementary function for the differential equation. _(x) nd the…

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Q: Using the circular disk method, find the volume of the solid generated by revolving about the…

A: Given curves , y=x ,                   (1)x=4.                       (2)

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated In Example…

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Q: I = √x f(x, y) dy dx-

A: ∫01∫0xf(x,y)dydx

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A:

Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

A: Find roots of the equation and then go ahead

Q: Which of the following graphs is the correct plot of y=- 2 cos(x)? -5+ 3 2 -1 -3 -5 -3 -2 --2 -3…

A: Please see the below picture for detailed solution.

Q: 2-8-7-5-9-4-8 6-of-it-ct-st- t-t-et-Lt-st-et-at- Find an equation for the graph above. laruto 34 3 2…

A: NOTE: Refresh your page if you can't see any equations. .

Q: (2xy - x + 2y - 1) dx + (8x² y² -2x + 4xy² − x) dy = 0 -

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Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: Sketch the region of integration and change the order of integration f x I 1 = [²] [~ ² f(x, y) dy…

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Q: Determine whether or not F is a conservative vector field. F(x, y) = (my + ²)i + (mx + 7);

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Q: Solve a part only

A: Given the function y=2-xx2 Here, student asked part a) only, hence we are answer part a) only.

Q: Let f(x)=√/25 - x The slope of the tangent line to the graph of f(x) at the point (9, 4) is The…

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Q: ind the equation of the line tangent to the curve 3x² + 16y² = 192 at the point Mx + K. P= (-4, 3)…

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Q: Can you please handwrite the answer, I can't read whatever it is he typed.

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: For the function f(x,y,z) = x rr fy 11 he e = 11 f₂ = N fyz 10 8z+1 -9 8z+1 (9y-10x)8 (8z+1)² 11 72…

A: The given function is;  f(x,y,z)=(10x-9y) /(8z+1).

Q: The given family of functions is the general solution of the differential equation on the indicated…

A: We have to find the general solution of given DE by given family of function.

Q: Evaluate the iterated integral. π/4 ** ['y cos(x) dy dx

A: Please see the below picture for detailed solution.

Q: Given the function f(x, y) = e5-2x+3y, approximate f(4.1, 0.9) using point (4,1) for (xo, yo). What…

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Q: A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not…

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