Consider dx and using u-substitution in rewriting the integrand as a function of u and du. Determine u if dx is replaced by 2(u- 1)du. 1+ x+ x+ xX

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A: We will find the solution for the given differential equation. 

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A: Topic:- integration

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Q: The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

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Q: Let u = 10TX. The differential of u with respect to x is du = 1072 20 7 Step 2 Rewrite the integrati...

A: topic - indefinite integral

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A: Given :Radius of thr ripple increasing by 2 feet per secondCircumference = 2πr

Q: Evaluate the limit below. 1 lim (x,y)→(0,0) 1-x2-y?

A: limx, y→0, 011-x2-y2

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A: To find the differential equation for               y2 = 4ax differentiate this equation with respec...

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A: Ratio Test : Suppose ∑ak be an positive term series and                         limk→∞ ak+1ak =L , t...

Q: Q4) Find dy /dx for the following functions: a) e*y = x – y b) y = (cos x)Vx

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Q: -1)k+12 11 17.-(6k – 7) Use the formula for the binomial series: (1+ x)" = m(m-1)2 t … + m(m-1)(m-k+...

A: Here, the given function is: f(x)=1+66 And, the given binomial expansion is: (1+x)m=1+mx+m(m-1)2!x2+...

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Q: 53. A statue 3 m high is standing on a base of 4 mhigh. IFan observer's eye is 1.5 mabove the ground...

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Q: What is the value of 7/2 r(3 cos(x) + sin(x))dr? 7/2 Give your answer as an integer or as a decimal ...

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Q: Jse the difference an+1 decreasing. - a, to show that the given sequence {an} is strictly increasing...

A: Let's find. 

Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

Q: Find the derivative of the trigonometric function. f(t) = t° sin(t)

A: To find the derivative of the following problem

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Q: y6_y²+7 h (y) y2+3y

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Q: 2. Evaluate [log(-1-/)(-2- j2)] tan(4 + 3i) cosh-1

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Q: Evaluate the integral. x sec (3x) dx = +C

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Q: cot 2x dx J Vcot2x – 15 cot²2x

A: Here we have to evaluate I=∫cot2xcot22x-15dx

Q: k If u = f(x), then f dx x4+2x²+1 +C for some constant k . Compute kf(1). x2+1

A: topic - functions and indefinite integral

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Q: 32. In y = 2y² - x; (2, 1)

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Q: solve using Firs Order Linear Differential Equation

A: Topic:- differential equations

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Q: Consider the following sequence: 7" {an} 3n2 n=1 An+1 to show that the given sequence {an} is strict...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 5 P4(x)

A: taylor series

Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

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