( d ) Σ0, 3i (i2 + 2) i=1 3i(i² + 2)

Q: P2: |(e* sin x + x In x) dx

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Find the area bounded 1. 2x2 + 4x + y = 0,y = 2x 2. y = x³,y = 4x?

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Q: For the following function, find its inverse. f(x)= In(5x – 8) - a. f'(x)= (e* - 5)/9 b. f'(x)= (e*…

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Q: Problem #8: A rocket is being launched. After a while, it rises at a constant velocity of 30 miles…

A: Let's find.

Q: 7-10 Evaluate the double integral. 7. y? dA, D= {(x, y) | –1< y< 1, -y – 2 < x < y} D y 8. dA,…

A: Let's find.

Q: dx x² + 9 1 х3 + 9х — 27 tan-1 1 x3 + C + 9x + 27 tạn + c\ Option 1 Option 2 — х3 — 9х + 27 tan 1 +…

A: We know that the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫1x2+1dx=tan-1x+C   The given integral is:…

Q: 12

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Q: ind the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of in 5 dx…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

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Q: solution

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Q: 1. Solve the initial value problem 2 = x? – 1, y(3) = 7. dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx

Q: c) h(x) =(5x-1) 12x² – 6 d) m(x) = (4x² – 9x} %3D

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Q: 2. In the differential equation (x – 4y –9)dx+(4x+ y – 2)dy = 0 , the lines x- 4x + y- 2=0 intersect…

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Q: What is the absolute maximum value of the function f(x) = x – 3x2 on the interval [-2, 3] ? a. None…

A: Given the function is f(x) = x3-3x2 on the interval -2, 3.

Q: can I get a written formula? I cannot understand the solution that you gave to me. please asap  !!!

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Q: 10 x dx 4x2 – 8x + 9 ima ( – In|4 (x – 1)² + 5| – V5 tan- c– 1)² + 5| + V5 tan |+ c -1 Option 1…

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Q: sin* x cos? x dx

A: To find out the integration.

Q: y = c, sin wt + c2 cos wt

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Q: 1 Verify that tan?(csc-1(x)) = x2 – 1

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Q: Determine the value of lim,00 7²+5 a +3r+7

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Q: P8: sin x cos x -dx J (2 sin x – 1)(sin x + 1)

A: ∫1au+bdu =1a lnau+b+C

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Find the arc length of the curve with parametric equations x = e-t cost and y = e-t sint on the…

A: We have to find the arc length.

Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: The integral of the given function ſ (4 +) dx is equal to a. 6 b. 7 с. 4 d. 8 e. None of the above А…

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Q: There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x − 8y + 3…

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Q: how is the irrational zero found?

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Q: find the dimensions of a rectangular plot of land such that the perimeter is 80 meters and the area…

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Q: 3 csc x cot x dx 3

A: Given query is to find the integral.

Q: x sin¬1 x² dx

A: To find out the integration.

Q: 13 Fimel thenadiuy.of.commergene afthe serves Σ 2m+2)(2mq4)

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Q: Hey sorry but I just want to confirm. What's the minimal cost of painting?

A: Given problem:- A container in the shape of a (right) cylindrical can with an open top of volume 8π…

Q: 4In(Arctan x) = 1-y

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Q: Solve the system of differential equations 3x1 + Ox2 x2' 4x1 + 5x2 X1(0) = - 3, x2(0) = 7 21(t) =…

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Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: x²+2x²y=2xy+2xy²–3y The expression is equal to x+y

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Q: On step 5, where did the 8 come from in x-3+8?  This is where I'm stuck

A: ∫au+bn du =1aau+bn+1n+1+C ∫11-u2 du =sin-1(u)+C

Q: Simplify the expression to the form a" where m is an integer. Find the value of m. Answer:

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Q: FEx) = 1+e siny x fCx) f'ca) = fco) = - fくb) = fCl-2) = = -15 e sin4X- se"cos4X 8 LN %3D %3D %3D…

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Q: please can you also answer number 3.

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Q: ^2/sin^2(2x-6) = -1 since sinx/x =1? then limit is like x^

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Q: 3) solve: y'-Hef't 44=HC032t; y0)=2, qla)== using Laplace treensform |

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Q: Find the moving trihedral and the curvature at any point of R(t) = (2 cost, t, 2 sin t).

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Q: Chain Rule, Higher Order and Implicit Differentiation Solve the problem and give a detailed…

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Q: . Evaluate [10x cos(x²) dx . A) sin(x³)+C C) 30 sin(x') +C 3 B) sin(x') +C 10 D) 3 sin(x') +C 10

A: Our Aim is to evaluate the integral given below:-∫10 x2 cos (x3) dx -(i)

Q: it was supposed to be 2x^2-9x+27 can you please resolve it, thankyousomuch

A: Since you have asked a question with multiple parts  in a single request, we would be answering only…

Q: 3. dx

A: Integral CalculusExtension of power formula

Q: How can you show mathmatically that they are equal?

A: