lim x→0 et 1+x -1 x - sin x

Q: Solve each equation over the set of complex numbers, find the magnitudes of the roots, and draw them…

A: Step 1:Step 2:Step 3:

Q: use vectors

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Q: How be came? W412 431/ 3 1+ w²+2 0.4w 4-w² = 0, (w² + 2) (4 w²) + 0.4w² = 0, - w4 - 2.4w² - 8 = 0.

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A: From the given data, first we need to find critical point. The point where f'(x) = 0 is the critical…

Q: f(x) = xe-2x

A: Step 1: Step 2: Step 3: Step 4:

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A: Given function is f(s)=(2s2+3s+1)(s2+1)10est​.Step 1: To find residue first we find the…

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Q: 2 2 Find the volume of the region under the surface z = xy² and above the area bounded by x = y² and…

A: Step 1The data given in this question is the region under the surface z=xy2 and above the area…

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A: Step 1:Step 2:

Q: Calculus I  May I please have the solutions for the following questions? Find the integral  Thank…

A: Step 1:​ (iv) I=∫xln2x−1​dxI=∫xln2(x)​dx−∫xdx​→(i)Let I1​=∫xln2(x)​dxUsing the method of…

Q: Consider the function (in the first quadrant) Find the centre of mass of the region of the shaded…

A: Step 1: Step 2: Step 3: Step 4:

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A: Rewrite given function as below, ∫06​(−11.37+172.6te−t/1.2)dt=∫06​(5863te−65t​​−1001137​)dt

Q: Question 8

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Q: Explain how to solve this question in detailed steps.

A: Step 1: Step 2: Step 3:  Step 4:

Q: Find the sixth term of the binomial expansion. (p+q)11 The sixth term of the expansion is ×

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: The correct answer is:b) dT/dt = c(T + To) Here's the explanation:dT/dt: This represents the rate of…

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Q: How be came? -1 tan (2w) tan - -1 ω -1 tan 3 82 (4/4) 3 1 + w x 1/ -

A: Step 1: Step 2: Step 3: Step 4:

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A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Given vectors: \[ \vec{A} = (-2, 1, 7) \] \[ \vec{B} = (5, 7, 16) \] Cross product: \[ \vec{A}…

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A: Step 1: Given in the problem C′(t)=85t3​ and R′(t)=9t3e−t4 Part A) : To calculate the useful life,…

Q: Please see image

A: Step 1: Recall some theorems. Step 2: Solve question (a) .Step 3: Solve question (b) . Step 4: Solve…

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A: Step 1: In the following diagram , in (2) we shift the vector x as like parallel vector( means…

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Q: Sketch the graph of the function below: f(x) = xe-2x

A: Let us examine the function f(x) = x e-2x.This is a product of two functions: x and e-2xThe function…

Q: Calculus I  Please graph the four examples. Thank you

A: Step 1:Solution-This is the graph of 1 , always decreasing.Step 2:Graph of 2 always increasing.Step…

Q: -/8 Points] DETAILS MY NOTES AUFCAT7 6.1.009. Verify the identity. COS X secx+tan x ASK YOUR TEACHER…

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Q: Let h be a continuous function, with its first derivative given by h '(x) = 4x³ - 10x² + e*. The…

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A: The approach used to solve this problem is applying the Pythagorean theorem. The Pythagorean theorem…

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A: Step 1:The region is described by the plane, z=x+y+5The density of solids The density of the solids…

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Q: Which of the following functions is guaranteed by the Extreme Value Theorem to have an absolute…

A: Extreme value theorem :  The Extreme Value Theorem states that if a function f is continuous on a…

Q: dy - Consider the following DE: (y - 2)(y − 1). dt a. For what value(s) of y will y(t) be constant?…

A: The given differential equation is dy/dt = (y - 2)(y - 1).

Q: 3) Locate the centroid located on the y-axis of the 3D shape of the revolved hyperbola about the…

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Q: Question 9 (4 points) Differenciate: y= ·(32³ - 62²)s = 30(x²-1)(3x²-6x)4 • Oy=24(x-1)(3x²-6x)4 y' =…

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Q: Please see image

A: Part (a): ∑n=1∞​(−1)n(2n)!n⋅30n⋅n!​ Analysis: First, let's consider the absolute convergence of the…

Q: When f"(x) is negative, which of the following is true about f(x)? O Concave down O Concave up O…

A: Step 1:When the second derivative f''(x) of a function is negative, it signifies that the function's…