Find the absolute maximum and absolute minimum values of f on the given interval. 8. f(x) = 2³3r² - 9x + 1, [0,5] 9. f(x) = x 2 sinx, [0,2π]

Q: 2x et. Vi-eza ex fer.

A: ∫ ex1-e2xdx=∫1-u2du=∫1+cos2v2dv=12·∫ 1+cos2vdv=12∫…

Q: A tenant dropped a spoon from the top floor of her apartment building and it fell according to the…

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Q: 2. Approximate √64.1 by using linearization and use a calculator to compute the percentage error.

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Q: c) graph of Estimate the area under the f(x) = √√√x from x = 0 to x = 4 using four approximating…

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Q: Find a bif a= (4, - 1,5) ar . b = (-3, 8, 5).

A: Here we will find whether given vectors are orthogonal or not,

Q: Which of the following provides the curve of intersection = 14? of the surfaces z = √√√x² + y² and…

A: We have to find the curve of intersection of the surfaces  z=x2+y2  and  x2+y2+z2=14.

Q: In a pool filled with water to a depth of 1 Rectangular plate calculate the fluid force on one side…

A: Given: Depth of pool = 10ft Area of rectangular plate, A = 3ft×4ft=12 ft2  Hydrostatic Force on…

Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 4x2x² g(x) = c₁f₁(x) + c₂f₂(x) +…

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Q: 2 For the f(x)=2x² - 4x² defined -2≤x≤3 on the interval A. Find all critical points B. Find absolute…

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Q: Match the equation with its graph. r(t) = cos(nt)i + sin(лt)j + t²k, Need Help? + 2 Z -2 Read It N₂…

A: Given problem:- r(t)=cos(πt)i+sin(πt)j+t2k  To find:- Draw the graph of given curve

Q: Find the curvature and radius of curvature of the plane curve at the given value of x. 32 y = 9x, x…

A: Given that Y= 9x - 32/x ; x= 4. And we find curvature and curvature of the plane at give x value.…

Q: Use the given information to find the exact value of the expression. 9) tan 0 = 13/12, 0 lies in…

A: using trigonometry properties

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

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Q: a) [1 : Evaluate 2 6 (x + 2)√√x - 2dx

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The graphs of f(x) and g(x) meet at x = 1. Evaluate lim g(x) x-1/(x)

A: Given: the graph of f(x) and g(x) meet at x=1

Q: the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter your…

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Q: Solve the differential equation by variation of parameters. 3y" 6y' + 6y = ex sec x y(x) =

A: We have to solve the differential equation.

Q: Consider the function f(x)=√/2x-8 for the domain [4, co). Find f(x), where f¹ is the inverse of f.…

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 6 x+8 dx Write your answer exact…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 7 y =…

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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: X = [₁,√38² - 1 db y = v √314 - 1 dt, -2 ≤x≤-1

A: Firstly find  derivative of y then find length of curve

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: Q2: Solve the following first-order differential equation x.e +y.- = 0 for y(0) = 1; x = 0. dx (2)…

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Q: Find the largest interval centered about x = 0 for which the given initial-value problem has a…

A: We have to find the largest interval centered about x = 0 for which the given initial-value problem…

Q: Find the arc length of the curve below on the given interval. 3 1/3 3.5/3 y = 5x +9 on [1,27] The…

A: The given curve,    y=35x53-34x13+9 on 1,27

Q: The value of the definite integral 3 [² (3x² Jo 0 is (3x² - 2x + 4)dx

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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: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z)…

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Q: Find the curvature and radius of curvature of the plane curve at the given value of x. y = e−x/2,  x…

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Q: Find all solutions of the equation in the interval [0, 2π]. 2cos2xcosx-2sin2xsinx = 1 Write the…

A: Here, the given equation is: 2cos(2x) cos(x)-2sin(2x) sin(x)=1⇒cos(2x) cos(x)-sin(2x)…

Q: Let f"(x) = -x (2x+1)(x-4)" A. On which intervals is f concave down? B. Give the x value of…

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Q: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

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Q: Part b: ( a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: Q2 a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel to the…

A: We have to solve above question of vector and 3D.

Q: Volume of the function g(x, y)=√64-x² - y² over the semicircle bounded by x² + y² ≤ 64, x≥ 0. 2- -2-…

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Q: Let A(t)=15(0.8)^0.2t (in milligrams) be the amount of drug in a patients body at time where t is…

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Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

A: see below the answer and the explanation

Q: . Find the absolute the following functions on f(x) = x² - 6x + 5 minimums the and maximums of given…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: Emptying a tank A vertical right-circular cylindrical tank mea sures 30 ft high and 20 ft in…

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: To find the equation.

Q: • f'(x) = x − 2x 2 x¹2x² + 1; ƒ(1) = 5

A: We have given f'(x) and we have to find function f(x)

Q: Solve the differential equation by variation of parameters. y" + 2y + y = et In(t) y(t) =

A: The given differential equation is; y''+2y'+y=e-tln(t).

Q: If 4x² - y² = 64, show that ds² = 1/2 (15x² (5x² - 16) dx².

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Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) (4,5) Option 3 O (√2,75)…

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Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use the shell method to find the volume of…

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Q: Translate into English:  a. ∀x(E(x) ⇾ E(x + 2)).  b. ∀x∃y(sin(x) =y).  c. ∀y∃x(sin(x) = y).  d.…

A: Solution : Given that to translate into English

Q: Minimize c = x+y+z+ w subject to 5x - y + w ≥ 4,000 z + w≤ 3,000 x + y s 700 x ≥ 0, y ≥ 0, z ≥ 0, w…

A: Min c=x+y+z+w5x-y+w≥4000       z+w≤3000x+y    ≤700x≥0,y≥0,z≥0,w≥0

Q: The equation of the plane that passes by P(2, 0, -1) and that is perpendicular to the line x-5 2-y Z…

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Q: Do the first two terms of the Taylor series by hand where X_0 = 1

A: Given :∫1232xe-xdx