Show that (xcos(2x)dx=. A-2 8

Q: Solve the differential equation. Show your complete and clean solutions. (x-2y+5) dx - [2(x-2y)+9]…

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Q: Sketch the region enclosed by x + y = 42 and x + y = 0. a) Favoring convenience, should you…

A: Given; x+y^2=42 , x+y=0

Q: 1 7. (x dy – y dx) = 0 x² + y?

A: We are given a differential equation  1/(x2+y2) ×(xdy - ydx ) =0 We have to determine whether it is…

Q: omplete the table for the radioactive isotope. (Round your answer to 2 decimal places.) Half-life…

A: We have to find out the amount

Q: dy Assume x and y are functions of t. Evaluate for the following. dt dx y = 2x* + 81; = 2x + 81; =…

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Q: ind The Area Using Integration and Make a sketch of the grap

A: Given

Q: d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: Evaluate the integral ax sin bx dx

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Q: xªdx J (x2 + 9)2

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

A: Work

Q: Mark the critical points on the following graph. 24 18 \12 -5 -4 -3 -2 -1 2 3 4 5 -6- -12 -18 -24…

A: 2 critical points

Q: Rates of Change: Oscillating Spring At Answer the following question, and give a written…

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Q: Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0, T]…

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Q: 30. The number of floats in the last Panagbenga Festival is about 50. This year, it is expected that…

A: Use permutations method nPr=n!/(n-r)!

Q: Direction: Differentiate each function with respect to x. 1) y=5 2) f(x)= 5x" 3) y=4x +x

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Q: da

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Q: 6. Solve the following differential equations: y'=e"(1+ y* ) a. 2+(y+2)x* =0; given y(-1) = 2. b.…

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Q: 4. An earth satellite moves in a path that can be described by x2 72.5 = 1 71.5 where x and y are in…

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Q: Use long division of po

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Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: Given; There 10 points in a plane such that no three points are collinear

Q: 9. Suppose that the demand equation for a monopolist is p = 100 – 0.01.x and the cost function is…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral. 18 J xp- 3/2-36 x 18 3/2-36x

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Q: Prove the given identity. tan0 + cot0 = csc@sec®

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Q: t-4 lim x-3-3-ax

A: We have to find out the limit

Q: Solve: (2x cosy + 3x y) dæ + (x – a? sin y – y) dy = 0 O 2x cos y + 2x2y-y = C O x3 cos y + x?y-y =…

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Q: Solve for fxx, fxy, fyx and fyy given f(x, y) = 2 ln(x − y).

A: The given function is:fx,y=2 lnx-y.We need find fxx, fxy, fyx and fyy

Q: Evaluate the integral sec² x tan? x + sec x (sec² x + 1) dx 2 sec x tan x (sec2 x + 1)

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Q: (3y² + 10xy²) dx + (6xy – 2 + 10x²y) dy = 0 %3D

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Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Let's find.

Q: FIND THE GIVEN DIFFERENTI Homogeneous Eguation ( 3x + 4y) dx - dy -0

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Q: ve the given ODE using Laplace Transform a. y" – 4y' + 3y = 6t – 8 ; y(0) = 0, y'(0) = 0 -

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Q: the bot test to determine it the use tollowing series converges or diverges

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Q: EN tind an equation tor the line tangent to the Lurve at the point defined by the given t, Also find…

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Q: Evaluate the integral (Trigonometric Substitution) 4 x*dx (x² + 1)²

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Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the missing value for the radioactive isotope. (Round your answer to two decimal places.)…

A: Formulae of the half-life of radioactive decay is given by: where

Q: Find the area of the region enclosed by y = 5x and x = 6.5 - y. 2- 3 4 5 6 Use horizontal strips to…

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Q: What is the approximate error in the volume and surface area of a cube of edge 2 feet if an error of…

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Q: After we review on how to solve system of linear equations using algebraic methods (substitution,…

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Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x² + 2)(x² + 1)2

A: ∫xdx(x2+2)(x2+1)2Substitute u=x22→dudx=x→dx=1xdu=12∫1(u+1)(2u+1)2duPerform partial fraction…

Q: Evaluate the given improper integral. Tell if it is convergent or divergent 2 dx x2 + 4 --

A: Solution is given below:

Q: 18 of 19 50 where T<0< 4r as shown in the diagram A rubber ball is being spun in a outward spiral in…

A: Let's find.

Q: Evaluate the integral | 3t³ (t² + 4)5dt

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Q: (2x + 6)dx x2 – 2x + 17

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Q: Siven that y = f(x) passes through (2, 1) and f'(x) = 3x² - 5x, find f(x). %3D

A: Given query is to find the function

Q: Set up the definite integral required to find the area of the region between the graph of y = x y =…

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Q: 5. A 6-ft man walks away from a 15-ft lamppost at a speed of 3 ft/s. Find the rate at which his…

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Q: 2. Find and classify all the critical points of f (x,y) = 2x – 9y – xy + x² + 5y².

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Q: f(x) f'lx) %3D

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