The expanded form of the differential operator D(xD-1) is A XD²+1 B XD² C XD²-1 (D) XD²-D

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

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Q: Given A) B (C) D 11 √ √ ² f(x) dx = = /10 f(x) dx = 0 and 11 6 20 55 •[ 37/(x)dx - 5² 2/(x)dx…

A: D option is correct.

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: Question 10 Let f(x)=√3x-2 on the interval volume of the resulting solid. 43x 135 83m 125 83x 135…

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Q: I sin sin ³0cos Ode by trigonometric transformation, we use the identity; To evaluate the integral…

A: We have to slove integral

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1₁ 3 A unit² ℗ 1/2 B D unit²…

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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: --——-^*[e'-In(2t+1)]dt, find g'(x) . dx 4 A e*+ (2x + 1)² 4 B et + (2x + 1)² 2 (C) e*- - (2x + 1)²…

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Q: Determine the 3rd derivative of the given function f(x) = (3x² - 5x + 6)4.

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Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1₁ 3 Ⓒ / unit² A ® B -unit² C…

A: This question can be solved using area bounded by two curves.

Q: Find the area bounded by : f(x)=e*, g(x)=e* and x=3.

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Q: Determine the integral: x²cosxdx A x²sinx+2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C Cx²sinx +…

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Q: Given the integral sec (x − 1) tanª (x - 1)dx, which of the following equations will be useful for…

A: Substitute sec^2u=1+tan^2u B option is correct.

Q: Which of the following can be determined given 3 3 3 [ f(x) dx = 5₁ g(x)dx=7, and 1 [n(x) dx = -5 ₂3…

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Q: Which of the following can be determined given Ⓒ [² (4f(x) + 9h(x)) dx 3 ® √²³((x) + B © ²(f(x) -…

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Q: Q/IF 3 = sin(x) 0²³²141 y= (4) y = 3/2 I sin(x) cos(x) Prove that

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Q: Solve the integral: 3√x x² dx

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Q: Transforming A B C D dx using miscellaneous substitution will yield to secx + 1 2-2z² -dz 1+z² z²+z…

A: Here, the given integral is: I=∫dxsec…

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

A: Here we have to find the integral for finding the volume.

Q: In the indefinite Integral Sin(cosh x + ex)- A In(cosh x + e*) B sinh x + ex C In(cosh x + e*)- sinh…

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

A: Given:      fx=x-13       gx=x-1 Volume of solid generated by revolving around the region is…

Q: (A) B (C) (D) **/2 18 [*/ ces **/2 cos²0d0 18 sin²0d0 cos²0d0 0 of the 0 **/2 $ cos²0d0

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Q: If (A) (В (D (x + 1) dx (x+2)(x-1)² -ja دا | در 93 1 —— 9 9 . 3 2 3 x + 2 ++ x-1 (x-1)2 dx, the…

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Q: Problem Solving: Prob. 1 A block of mass M = 10 kg is sitting on a surface inclined at angle 0 =…

A: Given that M= 10 kg and coefficient of static friction = 0.5 1. Minimum force necessary to prevent…

Q: Question We can apply General Power Formula of Integration on which of the following integrals? A…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Question 32 Solve the integral: A) 3√√√x² +C (B) ex 3 2√x² +C с D 6√√x +C 3√x x² dx

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Q: Determine the area bounded by f(x)=x²-x and x-axis. 2 A 3/3/14 unit² ® 1/1/¹4 B unit² 1 (C) unit² D…

A: The area bounded by fx=x2-x and x-axis

Q: π Evaluate the integral: sin(3x)cos(3x)dx 11/13 B (c) D 1/1/00 H|m

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Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx 3+ (3e)3 + cosh2x A + C 2+2ln3 (3e)3 + sinh2x…

A: The integration are

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: Which expression is equivalent to O cotx+sec x O cos x + cot a Otan x+sec x O sinx+tan x an £ ? cos…

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x)=x²+2x+…

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Q: Graph cach function using radians. 2. 1 - sin 29 - 1 2 0 0 0 یا

A: Please see the below picture for detailed solution.

Q: If $S₁ A B (x+1) dx (x+2)(x−1)² 9 3 D -la 1 9 I -ja 2 3 2 93 12 93 ==√ [= ²4/2+1 B x-1 C (x-1)² ]dx…

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Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

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Q: ₁₁³f(x)dx=5₁ g(x)dx=7, and 5, Which of the following can be determined given A [ (4f(x) + 9h(x) dx ®…

A: See the details solution in below

Q: y=Arccos (x²)

A:

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

A:

Q: Determine the general parametric solution of the following unsolved differential equations for the…

A: See the details solution in below

Q: In ( x² + 3x -=-7) dx X-2 Evaluate the integral: Se Ⓒ + A x² 2 =+ + In|3x-6|+C ℗ +² +5x+3n|x-2/+C B…

A: To find out the integration.

Q: Transforming Ⓒ A S B Ⓒ S dz ⒸS²+ de D dz 1+2² dx dz 2-222 dz using miscellaneous substitution will…

A: We need to choose correct option. As per Bartleby's Guidelines we can solve one question from…

Q: Which of the following can be determined given (A) L²³ F(x (f(x) + g(x) +h(x))dx g(x) dx © L² F…

A: We can solve this as follows:

Q: Question 9 Which of the following represents the volume of the solid generated by revolving the…

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Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

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

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Q: dx Transforming secx + 1 2-2z² A 1+z² ® √ ₁ + 2²/1d² +z² B -dz 1-z² z²+z C / 1-z² Ⓒ / 1-²/²0 D 1+z²…

A: To find the transformation of the integral ∫dxsec x+1 after using miscellaneous substitution.

Q: d If g(x) == _S^*[e' − In(2t+1)]dt, find g ''(x) . - dx -2 2 A (2x + 1)² 4 B (2x + 1)² 4 (2x+1)2…

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Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: Which of the following can be determined given A √ ² (f(x) + g(x) + h(x)) dx 4 ® [ g(x) dx ©…

A: We have given the Integration values of function f(x),g(x) and h(x) on a certain interval. We want…

Q: fx(2x + 5)³ dx

A: Integral