No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤l

Q: Find the general isolation of the following: 1. (x³y³+1)dx +x+y²dy=0

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Q: The equation of the plane that passes by P(-1, 2, 1) and that is perpendicular to the line x - 3 1-…

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Q: Find all solutions of the equation in the interval [0, 21). cos²x = 1+ sinx Write your answer in…

A: Topic = Trigonometry

Q: Find all solutions of the equation in the interval [0, 2π]. 2sinxcos3x+2cosxsin3x = -√3 Write the…

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Q: O [-5, -1) U (1,6] O (-5,6] O [-5, 6] O (-5, -1] U [1, 6] Find the domain of r(t) = (ln(t + 5),…

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Q: Solve the given differential equation by undetermined coefficients. y"+y' + y = x² - 5x -2x Xx) =…

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Q: Find the amplitude, period, and phase shift of the function. =I 1 sin (3x-x)+3 Give the exact…

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Q: its wrong please do it again

A: To find fx, if,f''x=2+cosx, f0=7, fπ2=2

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

Q: f₁(x) = 8, f₂(x) = cos²(x), f(x) = sin²(x) g(x) = c₁f₁(x) + C₂f₂(x) + C3f3(x) Solve for C₁, C₂, and…

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Q: Find all solutions to the equation. tan 0-1=0 Write your answer in radians in terms of it, and use…

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Q: Question [ a) [1 b)' 1. : Evaluate 6 1₂° ₁x + 2 ): If Show all your work. then find f(x). c) [ graph…

A: a)∫26 (x+2)x-2 dxLet    x-2 = z2      implies     dx =  2z dzx=2   ⇒ z =0x=6  ⇒ z= 2The integral…

Q: The one-to-one functions and h are defined as follows g={(-4, 5), (0, 6), (4, 2), (7, 4)} -…

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Q: Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

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Q: Compute the integral dx.

A: As we know that ∫xmdx=xm+1m+1+C see below the answer and calculation

Q: Represent the plane curve by a vector-valued function y=1-x^2

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Q: Ⓒ S x² (Inx)² dx 0

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Q: Find the sum of the series: n=0 2-1 (-1)"64"- n!

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Q: Question 1 Consider the points A(2,-1,0), B(3, 0, -2), and C(0, -3, -1). (a) Find the equation of…

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Q: Find dy if the curve is described by the equation x³ 4x³y + 3y² +Ske y

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. 8. f(x) = 2³3r² -…

A: In this question we have to find the absolute maximum and absolute minimum.

Q: QUESTION 13 Is this true or false? The radius of convergence for Σ()" n=0 is R = Show why your…

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Q: 3 2 X'+X +2x + 30 - 2 (22-3x+29 2) -dx

A: Let's integrate given integral.

Q: A x² B --x-In Ix+11+ C x² 2 -x+ In lx+11+ C 5x²=² dx x+1 C x² D x² +x-In Ix+11+ C +x+ In lx+11+ C

A: The given integral,              ∫x2-2x+1dx

Q: Congratulations! You won a contest sponsored by a local radio station. If you were given the choice…

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Q: ries of f(x) = lor series. =0 =0 =0 (−1)²+1 (-1)²+¹ (-1)". 1 (x-7)" 8n+1 (x (x − 8)¹+1 7" E(-1)", =0…

A: We have to find the Taylor series from the given condition and also indentify  the valid interval

Q: Use the given triangles to evaluate the expressions. Rationalize all denominators. √√2 A 1 45° 1 5)…

A: We know that cos θ=Adjacent sideHypotenusecos 60=12

Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

A: answer is in next step.

Q: Solve

A: Topic:- solution of differential equations

Q: The vectors u = (5, -4,0) and v = (-4,-5, 4) are orthogonal. Select one: O True O False

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Q: The value of the definite integral is Select one: O 16 3x²dx 0-8 O none of the others 08 0 0

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Q: Problem 2. Find the area between these curves: (a) f(x) = 5x-2 and g(x) = 4x + 1 on the interval…

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Q: Problem3 Find a curve in the xy-plane passing through the point (1, 2) and for which the normal line…

A: Here we have to find the equation of curve.

Q: Question: The two equal sides of an isosceles triangle measure 95 centimeters and the angles that…

A: The two equal sides of the isosceles triangle are, a=b=95 centimeters The angle that subtend them…

Q: fror Find the area of the surface that results when y= around the x-axis from x = 1 to x = 2 2x² 3…

A: We have to find the surface area of the solid.

Q: The definite integral is equal to Select one: none of the others 02 -16 [²(3x² + 4x³)dx O-8 0-6…

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Q: S tanx secx dx

A: We have to evaluate the given integration.

Q: Sketch the space curve represented by the vector-valued function and give the orientation of the…

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Q: True or False: Suppose k is constant. Then 5 [² is equal to 10k. Select one: True O False kdx

A: Solve the given intregal

Q: In (x² + y²) 2 2 VX x+y Integrate f(x,y)== over the region 1 ≤ x² + y² ≤e5.

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Q: Problem 1 Find a linear differential equation with constant coefficients satisfied by e²x, e*, e³x,…

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Q: A B 3-5 In Ix-31+ C X --5 In Ix-31 + C x3 3x²+5 (x-3) S: C dx x3+5 In Ix-31+ C D x3 +5 In Ix-31+ C

A: Evaluating the indefinite integral

Q: Find the derivative using logarithmic differentiation. x(x+4) (5x + 1)(3x +7) y =

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Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

A: The function is given as , fx=8x33+14x2-16x find the location and value of the absolute extreme…

Q: No calculators. Using the Shell method only, find the exact volume created by rotating the region…

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Q: The definite integral is equal to O 2 [²x Select one: 4 O f₁²₁x² dx + ₁ + x² dx none of the others ○…

A: ∫02 x2dx here we have to find equal to this. split the integral into two  use formula  ∫a  b f(x)dx…

Q: Determine whether the series is convergent or divergent. 00 Σ M = 3 n-0.9999

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Q: xex dx 3. f. (1+x)²

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Q: A 10​-footladder is leaning against a vertical wall​ (see figure) when Jack begins pulling the foot…

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Q: 5 Laplace transform, solve y" - 4y' + 7y = 0 y(0) = 3 , y'(0) = 7

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