Find L-1 ((₁+1)² (s+1)(s²-1)/

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A: Let's find  initial population and after 10 year population.

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A: We have to choose option find antiderivative

Q: dx A B C S (x+2)(x-1)² = √ [+4+2+ = -1 + (-1) 2 ]dt @ - - - - 13/12 A 9 If dx, the values of A & C…

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Q: The general solution of the equation (D4 +D²)y= -12 is Ay=C₁ + c₂x + c3cOSX + csinx - 6x² B y=C₁ +…

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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: If f(x) = A B C D tanx S 0 sec²x √1+1² 1+e¹ -dt, then f'(x) equals 1+e tanx In (secx)√1+tan²x 1+ e…

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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: dx secx + 1 Transforming S Ⓒ 1 +²2² A 1-z² (В) / z²+z 1-z² 2-2z² © 1+z² -z² Ⓒ S 1=32/2/dz D 1+z² -dz…

A: Solve using miscellaneous substitution

Q: dx Transforming S using miscellaneous substitu secx + 1 A S²= 2-2z² -dz 1+z² 1+z² B 1-z² 1-z² © √ 1…

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Q: fx(2x + 5)³ dx

A: Integral

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

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

A: To find integrand the steps are as follows.

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

A: the line y=x-1and y=(x-1)3 intersect in the points (0,-1),(1,0) and (2,1) the line y=x-1 is below…

Q: The general solution of (D³+4D)y=0 is Ay=e*(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁еx+c₂e²x +…

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Q: 1. Find the area under the curve y = x² from x = 1 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

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Q: Determine the area bounded by the functions f(x) = (x + 1)3³ and g(x)=x+1₁ A unit² B unit² 3 Ⓒunit²…

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Q: The general solution of (D³+4D)y=0 is Ay=ex(c₁cos2x+c₂sin2x) B y=c₁+c₂cos2x+c3sin2x Ⓒy=c₁ex+c₂e²x +…

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

A: ∫0+∞e-x dx

Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83л A -unit 3 125 43л 135 43л 125 83л…

A: Let's find volume of resulting solid.

Q: A bullet is fired with muzzle velocity of 150 m/s at an angle of elevation = 45°. Gravity = 9.8…

A: Since you have posted a question having multiple sub part as per guidelines we can solve only first…

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

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

A: The functions are f(x)=x2+1 and g(x)=-x2+2x+5

Q: What is the value of C if r(π/3)=2? * O 2 0 TT/2 none of the choices

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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: 1. ²₂(x² − 2xy² + y²³) dx dy

A: Solve the following integration .

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

A: To evaluate the given triple integral.

Q: The orthogonal trajectories of the family of curves y = cx² is A x=ky² B C x²+2y²=k 2x² + y² = k

A: We have to find the

Q: y = Arctan ( 2+x 1-2x

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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 (e³-1)²…

A: Given that,

Q: Which of the following is the antiderivative of the integral function: * f(xex) dx - ex + C none of…

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Q: Evaluate each of the following line integrals. Jc [(3x² - 3yz + 2xz)dx + (3y² - 3xz + z²)dy+ (3z² −…

A: Solved below.

Q: Question 14 dx Transforming S using miscellaneous substitution will yield to secx + 1 Ⓒ √ 1 + 2 ²2/0…

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Q: The improper integral A 1 B 0 C St edx is

A: To solve the improper integration.

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

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Q: If f (x) = A (В B C D Stams. 0 sec²x tanx 1+1² Ite¹ 1+e tanx sec ³x 1+e -dt, then f'(x) equals tanx…

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Q: (x+1) dx (x+2)(x-1)² 2 3 If 15 S. A B (C) D -10 2 . 9 3 W|N I 93 9 —— 3 =1[₂ = A x + + B x-1 +…

A: See the details solution in below

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: If a horizontal element is used to find the area bounded by y=√√√x, x=4 and the x-axis, the limits…

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Q: Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b] th then A True B False [ f(x)dxz…

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Q: Question 12 We can apply General Power Formula of Integration on which of the following integrals? A…

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Q: a + bx² 3ax + bx³ dx

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Q: To evaluate the integral sin³0cos ede by trigonometric transformation, we use the identity; A sine…

A: On solving this we will get  To evaluate the given integral we use the the identity in given option…

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: S. S. (x + 2y)dydx = 10, Jo a

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Q: Evaluate the integral: 1 A 6 B С 3 D HIM P 16 sin(3x)cos(3x) dx

A: Solve by integration

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: 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: dx xy+3x-y-3 dy xy-2x+4y-8

A: