Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s). U = eVx-9 dx 9. + C

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A: Given integral is improper integral, just use the rule of improper integral and then substitution me...

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A: Topic:- integration

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

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A: The graph of the function is To evaluate:  a. limx→-4-fxb. limx→-4+fx

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Q: 13. Which of the following is the solution of [2x+ycos(xy) dx +xcos(xy)dy = 0 x² +cos(xy) = c b. x? ...

A: By see this solution in below

Q: x+1 dx (ӕ—3)(ӕ+2)

A: Topic:-  integration

Q: əx = 7 , at ay ay = -2, ax Əz -4, = 5, as az at 9 ду as (c) ax az = 26 at az -38 , answer: as ду ду ...

A: We are going to solve using chain rule

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Q: 13. Which of the following is the solution of [2x + ycos(xy)]dx +xcos (xy)dy = 0 a. x? +cos(xy) = c ...

A: This question is based on solution of differential equation.

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A: Topic:- differential equations

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Q: c 2 0 0 4 0 1 0 40

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Q: he integrating factor to the linear differential equation x(x² +1)y' +2y = (x² +1)° is:

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Q: Use any method to determine whether the series converge. 1 (a) E k° + 7k + 1 k=1 This series may or ...

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Q: Consider the function f(x) 2a 15a? 36x + 10 on the interval – 6, 8. Find the average or mean slope o...

A: Given query is to find the average rate of change and the value of c for the function.

Q: 4. The equation y = c, e2* cos3x +C, e²% sin 3x is a solution of what particular differential equati...

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Q: 3s Let H be the set of all vectors of the form Find a vector v in R³ such that H = span {i}. 4s

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Q: 10. The following equations are exact except a. (2xy – y)dx + (x² – x)dy = 0 b. 2xydx + (y? +x² )dy ...

A: The differential equation of the form Mdx + Ndy=0   is exact  when ∂M∂y=∂N∂x

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Q: Find the equation of the tangent plane to the surface 2x^2 -xz + y^2 -zy = -5 at the point (1, 3, 4)

A: First we find out partial derivative at given point and then find the equation of the tangent plane ...

Q: Consider the following. 303 cos(@2) de First make the substitution x = 02 and rewrite the integral. ...

A: I will solve the following equation and high light the answers by red colour. Hope it would make you...

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 27 dx +C %3D

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Q: 1+5x lim 2-3x X→+∞

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Q: Given: r = 3 - 5 sine a) Sketch the curve and label 4 polar points. b) Find the slope of the tangent...

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Q: -5х + сos (9x)-1 (9х) — 1 Evaluate lim 2x Submit an exact answer.

A: NOTE: Refresh your page if you can't see any equations. . use the L'hospital rule

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

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Q: 1 Describe how the graph of the function g(x) = |x| -7 can be obtained from the basic graph. Then gr...

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Q: dz for the following functions dt 2. Using Chain Rule, determine (a) z = x²y + x where x = sin(t) an...

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Q: P or BVP. Write your solutions as neatly as sion) for the roots of the auxiliary equation. + 25)³(D²...

A: We will find the solution. 

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A: Given, P(T,V)=(8.31T)/V At centre V=12litre and T=310k

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Convergence of series

Q: A circle has its center at (3, -2) and is tangent to the line 3x + 4y = 26. Compute for the area of ...

A: We will use the formula for the shortest distance between the line and a point.

Q: 5. g(x) = e*+12 %3D x+1

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Q: A point mass describes a path y - 3.6x2 = 0, where x and y are in meters. The velocity along the x c...

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Q: Suppose that a firm's marginal abatement cost function with existing technologies is MAC = 12  - E. ...

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Q: 8. -8-7 1 Select the correct answer below: O f(x) has a removable discontinuity at x = 6. O f(x) has...

A: From the given graph we can see that at x=6 the curve has a dot ( but not a hole). 

Q: petermine whether the seauence conve ges or diverges. If it conve ges, find the e?cos (amr)

A: Sequence

Q: Evaluate the integral by hand, and check your answer with a CAS if you have one. NOTE: Enter the exa...

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Q: Find the average rate of change of the function f(t) = 24t from t 5 to t 7.

A: Given     f(t) = 24 t²  

Q: If 8x – 19 < f(x) < x² + 4x – 15 determine lim f(x) x→2 What theorem did you use to arrive at your a...

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Q: Determine whether the series converges. Σ k=I Ve 1) To determine whether a given series converges, i...

A: Given that ∑k=1∞1ekSolution:let,uk=1ekuk=1e1kso, this is not a p series    un=1np  this form is p se...