sin 2 x + sin x + cos 2 x - 1 = _______ tan x cot x sin x cos x

Q: dx (Be* a arcsin + C 4e-2x-25 ß Find : α + β +δ

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Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

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Q: 3. v? – 4v = -1.2975 – 2.1i

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: Express the repeating decimal as a fraction. 0.4511 414141.

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: 7.2t +93t + 2 where h is the height A ball is thrown into the air and its position is given by h(t)-...

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Q: (a) y = x2 – 2 and y = 2 -

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ?

A: Given x-y=3 and y=x2-6x+9 To find area of region between these two curves:

Q: 5 14. We know the runner ran more than 0 meters in those 90 seconds. To find the distance 90 di trav...

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Q: Use the Intermediate Value Theorem to show that f(x) = x^2 − 3x + 1 has at least one real zero betwe...

A: Given:- Use the Intermediate Value Theorem to show that f(x) = x2 − 3x + 1 has at least one real zer...

Q: Consider the function f(x, y, z) = ln(z² + 1) + yx². a) Find the gradient vector Vf(x, y, z). b) Wha...

A: To find out the gradient vector.

Q: 2 5. lim x→3 \x – 1 х2 — 1, 2 |

A: Follow the procedure given below. 

Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...

A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

Q: Determine the domain and range of the following function f(x) = 3-x

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Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x – 3x? + 4x – 12 2...

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Q: Find the exact value of cos 0 if tan 0 = and 0 is in quadrant IV. 7 - 5/74 O- 74 7 74 74 7/6 12 5/6 ...

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Q: sec 30°cos 60° =

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: f (х) %3D — Vх +I + 2x (x) = Vх +1 + 2х

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Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

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Q: 1 sec x sin x CSC X cos X tan x

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Q: Simplify 3 tan x cos x cot x (1/3)cosx 1 + cosx 3cosx

A: Given query is to simplify the trigonometric expression.

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: Let's find. 

Q: A non-right triangle has the following three sides: b = 40.1, c = possible. 45.5, and a = 66.8. Find...

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Q: Consider the function f(х, у) — у4г — Зу. /Ах — Зу. - a) Find all second order partial derivatives o...

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Q: Find the differential equation of the family of cuves and draw at least three members of the family ...

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Q: The height (feet) of a ball launched in the airt seconds after it is launched is given by: f(t) = - ...

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Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =...

Q: P. Iff: [-4,0]→R is defined by e* + sin x, its even extension to [- 4, 4] is given by (a) – e-lx| - ...

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Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y...

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Q: Consider the initial value problem and find the solution: a. y" – 3y" +y' + 5y = 0, b. y" + 2ay' + (...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: I. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1/...

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Q: If sine = a, then csce = 01 O a O 1/a

A: cscθ is inverse of sinθ

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: d'y + y = t-2t + 3 4 dt? dt

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*) 01=yt...

A: we have to find the solution of  given differential equation.

Q: Rewrite the given equation of a quadratic surface and identify the graph. 12y2 – 3z2 = 16x

A: equation of the hyperbolic paraboloid  A y2 - B z2 = 2 Cx

Q: Here is a graph of the function f. 4+ -3+

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Q: The function f(x) 2x 36x + 162I - 7 has two critical numbers. The smaller one is x = and the larger ...

A: The critical number of a function f is a number c such that either f'(c) =0 or f'(c) doesn't exist.

Q: Calculate I dx n=LobysimPsons4) rule

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Q: Determine which of the following differential equation is linear O +5 + 2y² = e3= %3D + 5y +2y = 0 %...

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Q: Given the vertex points of the given system: (10, 0), (0, 0), and (0, 15): test these vertex points ...

A: Given: - The vertex points of the given system: (10,0), (0,0), and (0,15).Test these vertex points i...

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x3 – 3x2 – 9x + 3 Find the ...

A: Topic = Derivative

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

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Q: Graph the solution to the following inequality on the number line. -x-6x <5 Note that you can use th...

A: -x2-6x&lt;5Add x2+6x on both side,0&lt;x2+6x+5That is ,x2+6x+5&gt;0x2+5x+x+5&gt;0x(x+5)+1(x+5)&gt;0(...

Q: If e = 3 10x find the reference angle 0'. Give only exact answers, and type pi for a if needed. Do N...

A: Topic = Trigonometry

Q: :) y = xva² – x²,a > 0 and y = 0 -

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