To reduce the DE (x+2y-4)dx-(2x+y-5)dy=0 to a DE with homogeneous coefficients, use the transformations (A) [x=u-1; dx=du y=w-2; dy=dw B x=u-2; dx=du y=w-1; dy=dw x=u+2; dx=du C y=w+1; dy=dw

Q: X √√//dx Solve the integral: A √x 3 B 3√√√x² +C Ⓒ6√√x +C 3√√x² D + C 6

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Q: -Je cosx dx

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Q: √²/pdx. хр (1,00) B {0,1} C) (-∞0,00) D (-∞,1] Given (Α dx, determine all value/values of P for…

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Q: Determine the area bounded by f(x)=x²-x and x-axis. 1 A unit² 2 Ⓡuni B 1 Ⓒ / unit² Ⓒ / unit² -unit²

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Q: + 1) dx A B C (x + 2) (x - 1)² = √ [++^2 + == 1 + (0-12 dc. ]dx. dx, the values of A & C…

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Q: 1. Find the area between y = - x² + 4x and y = x² - 6x + 5. Graph and shade the area required.

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Q: Which of the following can be determined given ^ (A) [²(f(x) = g(x) dx ℗ ₁²³(f(x) + g(x) + h(x)) dx…

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Q: Solve the integral: √x 3 / x2 + C 6 6/x + C 33.2 + A B (C) D + C dx

A: On solving this we will get Option (C) is correct

Q: wen 1₁² / 0x хо A) (-∞0,00) B (1,00) C{0,1} D) (-∞,1] -dx, determine all value/values of P for which…

A: Here  , we have two cases when p=1 and when p not equal to 1.

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: Use the formula for the sum of the first n terms of a geometric sequence to find the sum of the…

A: Given that the geometric sequence is 7,14,28,56,112,....

Q: √√³F(x) Which of the following can be determined given Arx (f(x) + g(x) +h(x)) dx B g(x) dx ©…

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Q: S D dx (x+1) log(x+1) In[log(x+1)] + C Evaluate: A In 10 ® -log B log² (x + 1) + C In 10…

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Q: Which of the following can be determined given 3 A (f(x) = g(x)) dx 3 B [² (4f(x) +9h(x))dx с g(x)…

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Q: Evaluate the improper integral A 0 B 2 (C) с D) diverges 3 4 12330² dx

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

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Q: y = 5 tan x³ + sec(3x)

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Q: S ³f(x) dx = 5, ³g(x) dx = 7, and Which of the following can be determined given Ⓒ S (f(x) - g(x))…

A: We have to solve integral

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

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Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1₁ 1 A -unit² (B) unit² 1 H|m

A: Given that fx=x+13  and gx=x+1Solution :x+13=x+1x+13-x+1=0x+1x+12-1=0x+1=0 and x+12-1=0x=-1 and…

Q: the 2) Find the standard deviation of sample. population 2, 4, 7, 12, 15 Find the variance for the…

A: We have to find the variance and standard deviation.

Q: Evaluate the given definite integral [ 2x³ – 6x² dx, from x = 1 to x = 2 X²

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

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

A: Now,The graph of the area bounded by f(x)=ex, g(x)=e-x and x=3 is shown below:

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

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Q: Evaluate the integral: Sen(1²2+3x-7) е dx A x² + 5x+In 3x-6|+C XZ B +5x+31n|x-2|+C 2 C x ²2+ = +…

A: On solving this we will get

Q: If (x+1) dx (x+2)(x-1)² S -=S= A B + x + 2 + x-1 C (x-1)2 dx, the values of A & C respectively are:

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Q: Given S dx, determine all value/values of for which the improper integral XP converges? (A) {0,1} B…

A: Please follow the next step.

Q: 25

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Q: en 0 3 | f(x)dx=0 and. -1 S 11 11 5 55 6 f(x) dx = = 11 6 , evaluate 1 J 3f(x)dx - [2f(x)dx.

A: We will distribute the integral in two parts .

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

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Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A: The correct answer is option (c).

Q: 7. Find the area bounded by the parabolas x² - 4y = = using vertical strip. 0 0 and x² + 2y and x² +…

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

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Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83 (A) -unit3 125 83л (B) -unit³ 135…

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Q: Evaluate the integral: e³+cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 2In3 + C (3e)3+ sinh2x B 2 + In3…

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: **/2 Ⓒ 18/¹/2 (A) sin²0d0 0 **/2…

A: See the details solution in below

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

A:

Q: Question 12 Given S (A) (-∞0,00) B (1,00) D -dx, determine all value/values of P for which the…

A: Here we have to determine all values of p of the given improper integral in which the integral is…

Q: S 1 Solve the integral: √√√X = n/1+x²³²|+c A C {/in/1+x²³ | +c B © 6n/5+x²³²|+c C in/1+x³| +c D X +…

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Q: The improper integral A) 0 B 1 C D) e 8 ·+∞o Ste ex dx is

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

A: Given,∫ x2cosxdx

Q: Solve the integral: √√ 3√x dx x²

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Q: Given A B U D ₁₁f(x) dx = 0 and 0 1 f²³f(x) 11 6 11 55 6 f(x) dx = 11 6 * evaluate ,0 √3f(x) dx -…

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Q: 1. f (x² + 1)(x² + 3x) dx

A: To evaluate the given integral.∫x2+1x3+3x4dx

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

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Q: Given [ f(x) dx = 0 and 11 0 11 6 55 6 rwax = 11 6 " evaluate S злах-п -1 2f(x)dx

A: Given,∫-11f(x)dx=0,∫01f(x)dx=116,To find ∫013f(x)dx-∫-102f(x)dx

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

A: See the details solution in below