Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ?

Q: x sin(x² )dx 2.

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Q: Question 7 The antiderivative of COS(3X) is 1/2 (use small letter no space) Blank 1 Add your answer

A: Given : Cos(3x)We will find the integration which is antiderivative of the Cos(3x).Below find the so...

Q: ソニqett 10 =50e-0,0357+ 5oe ○.2 ニe-0,0357ナ Inco.2)ニ =-0.3577 Tニ

A: y=aekt10=50e-0.0357tDivide 50 on both side1050=e-0.0357t15=e-0.0357t0.2=e-0.0357tapply ln on both si...

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of ...

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24. Roun...

A: Let's find. 

Q: Solve using method of undetermined coefficients d?x d3x + 6 dt3 dt2 d?x + 12 dx dx + 8x = 0 when t =...

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Q: Differentiate. t- Vt g(t) : g'(t) = Need Help? Read It

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Q: 1+cscx 7. h(x)=- 1-csc x

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Q: Radium decomposes at a rate proportional to the amount present at any instant. If initially there w...

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Q: (x +2x+3)(5-x) 10. g(x)= 3x+2

A: We will use u/v formula for derivative to find the required result.

Q: A function F (x) is called an antiderivative of a function f (x), if F(x)=f (x) B F(x)=f (x) F(x) =f...

A: topic - derivative and integration

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Q: What is the value of (3+2i)³ + (3- 2i)6

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Q: x2- Vx +1 When you evaluate dx. The sum of the coefficient of X" for any constant n> 0 is o (use num...

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Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx B...

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Q: 2w2+9w+1 dw is the same as w+4 2w +1+ dw w+4 B w+4 Mp MP 67 2w +17- W+ 4 None

A: We want to find correct answer from the given options. 

Q: メナー Aト 2.

A: Let's find. 

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A sint B sin?t C) None...

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Q: 15 dx Evaluate V9+ x²

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Q: Evaluate: Sv*+sin/x dx. A x+2cos/x+ C 2x+ cosx B + C 2

A: We have to solve the integral

Q: VI. Show that ydx = y dx it must be (a <h<b)if f(x) = 2x, a = 1, h 2 and b %3D = 4 20. f(x)dx is equ...

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Q: Directions: Choose the letter of the correct answer. Write the letter tha corresponds to the correct...

A: Using Definition of Transcendental function Rules of limits.

Q: In 3 [te' i + e'j + In tk] dt 1

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Q: technology

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Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coe (x...

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Q: The function f(x) = 5x + 2 is one-to-one. %3D Find an equation for f '(x), the inverse function. ......

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Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coeffi...

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Q: sin- In?| 4+ tan-!cos- dx 1+ cos2- 4+ tan-cos- 2sin- In2 4+ tan-'cos- dx 2 2 A 1+ cos 4+ tan-'cos- х...

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Q: many characteristics of the plants were quantified, such as their height (tall or short), flower pos...

A: This is a question related to mathematical logic. Based on the tree diagram we will solve the questi...

Q: cose Evaluate the integral: - de. 4- sin?e -ain (an)•c (sin (A) B None of the given choices © Sin-(글...

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

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Q: Research five'examples of the use of extreme value theorem in real life. Write your answers on a sep...

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Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

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Q: 3x3-5xe* +2xcos(x) Evaluate: dx A x3 - 5e* – 2sin(x) + C 3x4 B 5e* +2sin(x) + C 4 © x3 - 5e" + 2sin(...

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Q: : / ain(tun3x)dx cos²3x tan( tan3x) dx Evaluate: A -in|sec(tan3x)| + c 3 B 3 -In|cos( tan3x)|+C O In...

A: On solving this we will get

Q: Solve (x² + 4) y' = 2xy %3D

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Q: 3 [f(x)dx=+C, then f (x) : A True (B) False

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Q: cose Evaluate the integral: de. 4- sin2e

A: Follow the procedure given below.

Q: y = 5t2 - 2t + 4 -'(t) =

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

Q: Find f'(x) and f"(x). f(x) = (x3 + 1)e* f'(x) = f"(x) Need Help? Read It Watch It

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Q: 20. Let h be the function defined by h(x) = [", sin²r dt. Which of the following is an equation for ...

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Q: Nightclub Management You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of h...

A: Let's find. 

Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let lnx=t1xdx=dt∫t6-3t4dta+b4=a4+4a3b+6a2b2+4ab3+b4∫t64+4t63-3t+6...

Q: Question 8 (sin(Inx"))³ Which of the following is equivalent to the integrand of 7cos (In(x³)) + cos...

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Q: Evaluate the integral. dx 3x2 + 11x + 6 0.

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Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

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Q: xdx 5+ x 2 X

A: Here,             We have given an indefinite integral                now we have to solve this and ...

Q: In integrating the function f(3x + 5)(cos ) dx using integration by parts, what would be your du?

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Q: [sin(Inx?) ]²dx Which of the following is equivalent to :? sin(Inx14) dx A sin2( Inx 14) dx ® / B si...

A: ∫sinlnx7 2dxx