Q3/ Find a volume for the region bounded 4/X and Y = (X-3)² about the x-axis.

Q: Solve the integral: feln(2x² + 3x-4)³ (4x+3) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…

A: Given that , fx=x2+1 and gx=-x2+2x+5 find the volume of solid generated by revolving the region…

Q: дz дz Givenz = xey +yex, Find дх’ду

A: in partial differentiation , other variable is considered as constant when function is…

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)= x + 1 3 A 2-unit² 1 Ⓡ / unit²…

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Q: 1 3 x + x Solve the integral: S 6 ® ni.s.c A) 1+ x + C 6in|5+x²|+C B © h1+xel+c c) C Fin/1+ o D + x…

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Q: Given the domain 9 = {(1, y) | − 4 ≤ x ≤ 4, - 4 ≤ y ≤ 4}:: D the double integral of f(x, y) = 1 over…

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Q: for Which of the following can be determined given S √₁² f(x)dx = 5,³ g(x) dx = 7, and d Ⓒ [[²(f(x)…

A: ∫ab fx±gx dx =∫ab f(x) dx ±∫ab g(x) dx ∫ab kf(x) dx =k∫ab f(x) dx ; where , 'k' is an constant.

Q: y= 3 Arcsec 3x

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Q: Find the area bounded by x² = 4y + 4 and x = y - 2. Using vertical element, what is the integral…

A: The area bounded by the curves x2=4y+4 & x=y-2 is:

Q: •+∞0 The improper integral * fe 0 A) 0 B e C (D) 1 ∞ ex dx is

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Q: Find the linear equation of the given below using any of the 3 methods. Show your solutions here. X…

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Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 73°C, it…

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Q: 9 Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

A: We have to solve

Q: Evaluate each of the following line integrals. cy²sin³x √1+ cos²x ds where C: y = sin x going from…

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Q: Find the area bounded by : f (x)=e*, g(x) = e¯* and x=3. A (e³-1)² e³ sq. units (В) (e²+ 1)² e² Ⓒ…

A: The region is bounded by fx=ex, gx=e-x and x=3

Q: The function is X 2 = y² What is 8²% მ2 Y x²

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Q: Which of the following is NOT a method for finding volume of solids of revolution? (A) shell method…

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Q: Practical Question: An object is moving horizontally with the speed of 50 m/s. When the object at…

A: Projectile motion is the motion of an object projected horizontally into the air and moving…

Q: Find the area bounded by : f (x)=e*, g(x)=e* and x=3. (A (e²-1)² e² sq. units B (e²+ 1)² e² sq.…

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Q: sinh xte cosh x + ndefinite Integral Sin(cosh x + e*)- In(cosh x + e*) sinh x te cosh x + ex

A: We have to calculate the given indefinite integral according to the given information

Q: Find the volume of the solid of revolution generated when the area described is rotated about the…

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Q: Which of the following methods can be applied to find a particular solution yp of y" +y = cos(ex)?…

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Q: .b if f is continuous on [a,b], and f(x) 20 then √VF(x) dx = f(x) dx T True F False

A: Topic: application of integration

Q: van [ f(x)dx = 5, [_o(x)dx=7, and [_n(x) dx = - -5 Which of the following can be determined given…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the critical point and the intervals on which the function is increasing or decreasing and…

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Q: Find the area bounded by x2 = 4y + 4 and x = y = 2. Using vertical element, what is the integral…

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Q: . The implicit solution for the differential equation y' = x³y is A. In x = y² + c B. 3 lnx = y² + c…

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Q: The improper integral +∞ [+00 0 ex dx is

A: Our Aim is to evaluate the improper integral given below:-∫0∞e-x dx -(i)

Q: 10 Σ (3n – 1): 125 n=1 10 Σ–1 (3) -1, 125 Σ (3n – 4): 125 10 Ο Σ(3n – 4): 125 Ο Ο O e Θ

A: Verify all the option   then find the sum.

Q: ind the indicated maximum or minimum value of f subject to the given constraint. 2 2 2 Minimum:…

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Q: Given A B C D f(x) dx = 0 and 11 6 0 ¹² f(x) dx = 11 6 I 11 5 55 6 evaluate S²3f(x) dx - ₁2f(x)dx.…

A: we have to find the integral

Q: TL 2 Evaluate the integral: sin(3x)cos(3x)dx 3 1 A B C D H|m 3 16 1 3 16

A: To evaluate the integral. Option c is correct.

Q: In the indefinite Integral Sin(cosh x + ex)- integrand? A In(cosh x + ex) B sinh x + ex In(cosh x +…

A: The given function whose integral is to be found is called the integrand.

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: If g (x) = — _ _[e¹ — ln(2t+1)]dt, find g''(x) dx -2 (A) B C) D 4 et + (2x + 1)2 4 et + (2x+1)2 e* -…

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Q: y=Arccos (x²)

A: I am attaching image so that you understand each and every step.

Q: Evaluate the triple integral: A) 18 B) 24 C) 12 D) 6 3 2 S²³² S²(x+y+z)dydxdz 0

A: We have to find the value of given integral

Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D3 – 6D2 + 12D – 8)y = 0

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Q: Solve the integral: Seln(2x² + 3x −4)³ (4x + 3)dx eln(2x² + 3x-4)³ (4x+3) 3(2x²+3x-4) A + C…

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Q: The improper integral ** ex dx is A Be (C) 1 D) 0 8

A: ∫0+∞e-x dx

Q: To evaluate the integral sin³0 cosed by trigonometric transformation, we use the identity;

A: Correct Option is D

Q: Solve the integral: Seln(2x² + 3x-4)³ (4x + 3) dx eln(2x² + 3x-4)³ (4x+3) 3(2x²+3x-4) A + C…

A: We know eln(x) =x

Q: In the indefinite Integral in(cosh x + ex)- In(cosh x + e*) sinh x tex In(cosh x + e*)- cosh x + ex…

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Q: A tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being…

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Q: y = 5 tan x³ + sec(3x)

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Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: Given that, Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from…

Q: 02/Use the l'Hopital's rule to find the limits in t3-4t+15 a) lim t--3 t²-t-12 X-8x² X-00 12x²+5x b)…

A: Given problem:-

Q: Initially 80 grams of radioactive substance was present. After 4 hours the mass had decreased by 6%.…

A: Let's find amount remaining after 40 hours.

Q: Find the average value of the function f(x, y) = xy over the triangle with vertices (0, 0), (1,0)…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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