Find the area between y= |x|^y=2-12x₁

Q: Which of the following rational functions is equivalent to the partial fraction decomposition 2x 2x…

A: 2x2x-1-3x3x-1=2x3x-12x-13x-1-3x2x-12x-13x-1=2x3x-1-3x2x-12x-13x-1=x2x-13x-1

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A: A function F(x) has a given F(0)=2 A graph of derivatives F'(x) is given here .we find the value of…

Q: A) f(-1)-f(-2) (-1)-(-2) QIn parts (A)-(C), find the indicated quantity for y=f(x)=4-x². = N

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Q: 8 A ITI system is described by the D.E. y +6 Y+8y=2XL)_ -2t find h(t) then find y(t) if X(t) = te²t…

A: First solve homogeneous then non homogeneous part

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Q: a)₁- b) [ : Evaluate the integral 3x - 1 (x + 4)(2x - 1) : Evaluate the integral dx x√x² - 64 6 c)…

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Q: 8W!! n=1 elect the correct choice below and, if necessary, fill in the answer box to complete your…

A: We have to find out the convergence test

Q: Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2 - 5yw + 4w2 = 2…

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Q: Question show that the limit does not exist. a Find the limit, if it exists, or b) lim (x,y)→(0,0)…

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Q: •oodwi For any real sequence, lim Xn Yn = Tim (x₂) tim(yn)

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Q: = f(1) dt, where f is the function whose graph is shown below. What is the value of g′ (-2)? Let…

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Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use C for the…

A: Given ∫4(x+a)(x+b)dxTo evaluate the integral:

Q: To receive credit, all work must be completed and shown on the assignment paper. 1) A rocket will…

A: Given:

Q: Let f(x)= 4x²-19x-5 x² +11x-80 (A) lim f(x) X-5 Find the indicated quantities, if they exist. (B)…

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Q: 1 √1/₂ y+4 y² + y dy felt +2e²t

A: The given integral is a (y+4)/(y2+y).

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: Identify the symmetries of the curve r=7+7 cos 8. Then sketch the curve. Is the curve symmetric…

A: see below the figure and answers

Q: Given compute the following integral. Provide your answer below: f(f(x) + g(x)) dx = I'rox f(x) dx =…

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Q: Let f(x) (1) (ƒ + g)(x) = = - 9x + 8, g(x) = x - 1, find the following: (2) (ƒ − g)(x) = - (4) (3)…

A: To find the value of given function and their domains.

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per day…

A: This question is based on derivative application.

Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and c₂…

A: Given the differential equartion,         121y''-4y=0

Q: ollars) t months from now are given by S(t) = 0.05t3 +0.71² + 2t + 5. es). 5. ...

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Q: A rectangle has an area of 133 cm² and a perimeter of 52 cm. What are its dimensions? Its length is…

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: Let "r" and "h" be the radius and height, respectively, of the right circular cylinder of maximum…

A: Let's find value of r + h.

Q: dy What is if the function y = f(x) is implicitly defined by the equation 5x + 3y² = 4y + 2x² - 5?…

A: For implicit differentiation , both sides of the equation are differentiated simultaneously.

Q: Solve given differential equation. ydx-xdy+2dx=0 

A: The objective of the question is solve the differential equation.

Q: Find the surface integral of the field F(x,y,z)=9xi +9yj +9zk across the portion of the sphere x² +…

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Q: Find dx X O A. O B. O C. O D. 16 4 **** 5√x 5 X 16 3 X i - 4) - 1x -20% √x - 4√x 5 X 16 3

A: We need to find derivative.

Q: Calculate the first three partial sums of the series. S₁ S N' 11 = S3 = Σ n = 1 n+4 Use the sequence…

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Q: each of the following cases, find the area of the region that lies inside both the curves. a) r= 1,…

A: Please see the below picture for detailed solution.

Q: A farmer buys a new tractor for $145,000 and assumes that it will have a trade-in value of $86,000…

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Q: EXAMPLE 4 If an object moves in a straight line with position function s= f(t), then the average…

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Q: The graph of y=r(z) is given below. Answer each of the questions below the graph. 10+ 9 -8 -7 -6 LY…

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Q: Month-end payments of $1,420 are made for 8 years to settle a loan of $121,220. What is the…

A: We have to find rate of interest in this question.

Q: ve the given init value problem. dy dx 3x²y + y² 2x³ + 3xy' y(2) = -3

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Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use for the…

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Q: Which equation represents a tangent function with a domain of all Real numbers such that x 2…

A: We know that the domain of the tangent function tan x is: all real number x except x≠π2+nπ , n∈ℤ

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: Find the area of the given region. y = sin(x) R|C I

A: We are asked to find the area of the region

Q: Find lim lim h→0 h→0 f(5+h)-f(5) h f(5+h)-f(5) h = if f(x)=x² +5. (Simplify your answer.) ...

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Q: For a as follows, write the sum n = 1 a1 = and 1 19 an= an an+1 Σa as a geometric series. 'n = -19…

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Q: Which of the following functions is not continuous on (-∞0,00)? Py = |x-1| ° y = y = 1- O y = 1+²²…

A: Functions are given, we have to find the function that is not continuous on -∞,∞

Q: Considering the integral below. Rewrite this same integral, reversing the order of integration. What…

A: Follow the procedure given below.

Q: At value of a does the curve y = 2√4x2+1 have a tangent line with a slope of 2? O √12 00 O /12 O…

A: To find the slop at given point.

Q: Question 6 Find the area 2 y=x²-3 between the curves and y=x+3

A: In this question, we will find the area of the region bounded by the given curves.

Q: Evaluate the limit using L'Hospital's rule 1 lim 12xe 12x x →∞

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Q: 7/5 Find f'(x) if f(x)=9x5-5x² + 10000. O A. f'(x) = 63x6/5 - 10x 6/5 B. f'(x) = 63³x6 O c. f'(x) =…

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Q: Find the area inside one loop of the lemniscate r² = 2 sin 20. The area inside one loop of the…

A: Area of a closed region in polar coordinate is given by A=∬rdrdθ see below the answer and…