Find the integral using the substitution u = Enclose arguments of functions in parentheses. For example, sin (2t).

Q: x,for-2< I<2 2. for x 22 x-1. for x s -2 5. y=

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Q: Find the given 5x? cos 2x dx. Using this: "uv – f v du"

A: NOTE: Refresh your page if you can't see any equations. . use integration by parts take 

Q: 2. Consider lim xa q(x) A student says that this answer means the limit is 1. Is the stude correct? ...

A: Since we are given with the multiple number if question and our guideline is solve first question ki...

Q: 一名 ース 1-X

A: We can find the integration as below

Q: 7. Find the derivative of the function y = 5² + %3D y = eTextbook and Media Save for Later

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Q: Given Cost and Price (demand) functions C(g) = 120q + 45000 and p(g) = - 2.2q + 900, what is the mar...

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Q: Given the function g(x)=−2cos x, calculate g′(7π6).

A: Given: gx=-2cosx   We know that, a·f'=a·f', where a is the constant. And The derivative of cosx is; ...

Q: 1. Given a > O real, evaluate the following limit: V2a?x – x4 – ava²x lim a – Vax3

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Q: x-y Differentiate- — х+ 2. y+x2 1-у-3x2-4х 3y2+x+2 1-х+3у?-4х Зу2+x+2 a. y' b. y' =

A: Given query is to find derivative of the expression.

Q: A particle moves according to a law of motion s = f(t),t20, where t is measured in seconds and s in ...

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: 1. lim g(x) = X--1- ; lim g(x) ; lim g(x) %3D r-1+ X--1 3 2. g(-1) = 2- 1. lim g(x) = ; lim g(x) = X...

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Q: 4. y = vx + 2 x,for-

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Q: Elisha works a job that pays $⁢19 per hour. Write a function that represents the amount of money she...

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Q: Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or stric...

A: The given sequence is: an=n12n+2

Q: tim X=9 2 メー→3

A: Given query is to find the value of the limit.

Q: Show, without reference to right triangles, that arctan x + arccot.x = }r for all real x. HINT: Use ...

A: Solution -  To show,  arctan x + arccot x = 1/2π  for all x 

Q: Tr(x)dx = xf="(x) x(f=\Y{x)dx.

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Q: Lesson 9 1. Consider the graph of f(x) shown in the figure. Investigate the continuity off(x) at the...

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Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4  

Q: Give an example of a function f such that lim f(x) exists but f(0) does not exist. Give also, an exa...

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Q: find the differential equation of the family of plane curves described. draw at least 3 members of t...

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Q: (x2 - 1) dy = ((1 + x)? - 2y) dx %3!

A: NOTE: Refresh your page if you can't see any equations. .

Q: (b) Find an operator A that annihlates the following functions. i. In(x) ii. to , α ε R iii. sin(3 I...

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: y(2x³ -x²y + y³)dx – x(2x³ + y3 )dy = 0

A: y2x3-x2y+y3dx-x2x3+y3dy=0

Q: (х+2)? x? - 4 dy 2y + dx х* — 4 |

A: dydx+2yx2-4=x+22x2-4

Q: Evaluate the limits. Show your solutions. 1. lim lim 3. lim 北主 2.

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Q: O1f y= x 4x and x = Vzr?+I, find dy /dt when t r2. %3D

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Q: Consider the following initial value problem: y' =xy3(1+x2)-1/2 ,      y(0)=1 (a) Find the soluti...

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Q: Solve for the differential equation, show detailed solution. xy' = y e^(x/y) - x

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Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c) 2.sin...

Q: iven Cost and Revenue functions C(q) = q° - 10q + 56q + 5000 and R(q) = - 3q + 2600q, what revenue i...

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Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base ...

Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

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Q: Using the notations A, BA, B and CC to denote the angular measure of the interior angles of the tria...

A: We know, 2ab cos C = a² + b² - c²  So, 2ab (- sin C) (∂C/∂c) = - 2c  So, (ab sin C) (∂C/∂c) = c  So,...

Q: Y- 3X +1 = Ce | Ce 3x

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Q: Step 2 14e-x2 and above the x-axis between x = 0 and x = 1 around the y-axis is Now we can say that ...

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Q: 35x − 6 = 81 Solving for x. Exponential Functions

A: Given: - The exponential function is, 35x-6=81 To solve: - The solution of the given exponential fun...

Q: Choose among the following suitable to define the given integrations: * S(3x + 1) e¯*+1 dx none of t...

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Q: the plane according to the equations x = t² + 2t and y = 2t³ – 6t. Find dy/dx c. 3 d. 4

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Q: 9. Two chicken coops are to be built adjacent to one another using 120ft. of fencing (sce the pictur...

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Q: Find the exact length of the curve.   36y2 = (x2 − 4)3,    5 ≤ x ≤ 6,    y ≥ 0

A: NOTE: Refresh your page if you can't see any equations. . but here 

Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: y(2x3 -x2y + y3)dx – x(2x³ + y3 )dy = 0

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Q: Find the length of the arc if f(x) = In(cos x) and 0 s x %3D 2. Find the length of the arc formed by...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Calculate the mass of butane needed to produce 62.8 g of carbon dioxide. Express your answer to thre...

A: Given:    62.8 g of carbon dioxide ( Co2 ) 

Q: \k+2

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Q: 1. lim x +2x2 + 3x +7 X-3 2. lim (7-8x) (9x-11) x+2 3. lim 3x2 - Vã + 4x + 27 X-8

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 4. f(x) = x² + 4x 5 %3D -

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as ...

Q: Suppose that f ‘(x) is negative for x 1. Does f have a local minimum or maximum value at x = 1?

A: The answer is 'YES' Let see how it is YES in next step.