Evaluate the indefinite integral. (Use Cc for the constant of integration.) |

Q: x³ Jx² +3dx

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Q: Solve the differential equation Bernoulli Equations: dy + бу — Зху3 dx 4 3xys

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Q: The values y (in billions of dollars) of U.S. currency in circulation in the years 2000 through 2007…

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Q: farctan(6y) dy: Consider the integral 1+ 36y2 This can be transformed into a basic integral by…

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Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis

A: This is a problem related to finding out are using integration. Please follow the procedure given…

Q: Use the formula «(t) = F () ×F (51 to find k(t). ||r(t)||* r(t) = t²i+t°j K(t) = %3D

A: We have t find κ(t) for the given vector r(t) = t2i + t5j The given formula is κ(t) =…

Q: 5. lim X-0 e2x-1

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Q: Solve for k such that 1 | k(x² – 2x + 1)dx = 5

A: Given problem:- ∫ k(x2 -2x+1) dx =5  Solve for k

Q: Solve the differential equation Integrating Factor by Linear Equation: y' + X. (4)» = * y = x+

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Q: Give the representation, equations and solution. Use elimination, comparison or substitution to…

A: Sum of two numbers =  25 Difference of two numbers = 7

Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

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Q: Given the series: 2 k k=1 does this series converge or diverge? converges O diverges If the series…

A: The given series Diverges

Q: 5. y!! + 2y! +v = 7+75sin2x

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Q: #3 Evaluate F. dr. F(x, y) = 3xi + 8yj C: r(t) = ti + V4 - t²j, -2 st< 2

A: Given problem:-

Q: Obtain the limits of the following functions: (2sinx-sin2x 1. lim x-sinx

A: To evaluate the limit of the function.

Q: (2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by…

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Q: 91 (x). いz 16 モtuて X ultブ -(り+ X uft-) こtれてXutラ =()(つ 3-(x)ナ( zn+1 (6トフ3×マ A) flx)= x?m 167x2 power…

A: Let's find.

Q: Find V x (V × F) if F(x, y, z) = 9xyj+ 5xyz k. V x (V × F)

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Q: (b) The curve y = x +3x, from x 1 to x = 3 (c) The ,2 1 from 2 to g

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Q: .W (3) Solve the following differential equations of

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Q: 4 4 4 + + 9. 27 3 +

A: Given problem:- (4/3) +(4/9) +(4/27) + ........  Determine whether given  geometric series…

Q: 2.) f x²(2x³ + 1)5dx

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Q: Use the function to find the image of v and the preimage of w. T(V1, V2) = (V1 + V2, V1 - V2), v =…

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Q: 1. 15 dx (x-)2

A: Given problem:-

Q: Without graphing, find the horizontal and vertical asymptotes, if any, of the curves. Show your…

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Q: In series RL circuit, L=4 henry, R=100 ohms and E =200 volts, find the value of current when t =2…

A: Given ; L= 4 henry , R=100 ohms and E=200 volts , t= 2 sec

Q: dy_ y -1 dx

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Q: Find V · (V × F) if F(x, y, z) = 9 sin xi + cos(6x – 7y)j+ 4zk. - V · (V × F) =

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Q: ) Syppose f and g are functions with continuous lerivatives, and that they satisty the following. S…

A: Let's find.

Q: Find div F and curl F if F(x, y, z) = 13y°z³i – 9x*z³j – 4ry°k. div F= curl F=

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Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). 13 r(t) = eti+ etj K(t) :

A: Given r(t)=e5t i + e-t j

Q: Find curl(Sz i+6x j + 7y k), curl(Sz i+ 6x j + 7y k) =( i+(

A: This question van be solved using the concept of curl F.

Q: Find T(t) and N(t) at the given poi: x = e cos t, y=e' sin t, z = %3D %3D T(0) = N(0) = %3D

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Q: 2) Use "TELESCOPE technique" to find x which is involved in INFINITE PROCESS. 4 4 4 4 4 4 4 X = 42…

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Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

A: Cost

Q: ) Sypposef and g are functions with continuoUS elerivatives, and that they satisty the following. is…

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Q: The following telescoping series 00 1 Σ- en+1 – en+2 n=1 converges to Ve the above none of them…

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Q: 1 for convergence, you can use the P-test. (You k2 k=1 To test the series could also use the…

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Q: ) Sypposef and g are functionns with continu lerivatives, and that they satisty the followia…

A: “Since you have asked multiple Questions, we will solve the first question for you. If you want any…

Q: Find the area bounded by the curve x = y² + 2y and the line  x = 3.

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Q: Compute the given improper integral. Enter the exact value of the answ 13 1 dx x² – 25

A: Here we have to find the exact value of ∫5131x2-25dx=?

Q: 5. lim X-0 e2x-1

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Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: Evaluate the indefinite integral. -dx 1 – x8

A: We use the standard integration result ∫11-x2dx=sin-1x+C

Q: 5 1. If g(2) = 59 and , g'(x)dx = 25, what is g(5)?

A: The detailed solution is given below Thank you

Q: Solve the following differential equations of dy 1 -·y = xy'; dx

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Q: INSTRUCTION/S: Evaluate each limit by two methods. TOPIC: INDETERMINATE FORMS FIRST METHOD (Partial…

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Q: Evaluate (2x - y) dx + (x + 5y) dy.

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Q: 25. z arctan r dr dr 26. Jo (z – 1)² 27. e sin z dr

A: A detailed solution is given below.

Q: 2) Evaluate the integral S inx dr 2.

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