لله √ √³ √ √² zysin(2² + y²) dz dy −

Q: Evaluate [C sin(x + y)dxdy. Answer: 0

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Q: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.

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: etermine the area bounded by f(x)=x²-x and x-axis. 1 A unit² 2 B unit² 1 unit² 1 unit² D

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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: To reduce the DE (x+2y-4)dx-(2x+y-5)dy=0 to a DE with homogeneous coefficients, use the…

A: solution:-x+2y-4dx-2x+y-5dy=0dydx=x+2y-42x+y-5the system of linear equation…

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

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

A: Please follow the next step.

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: The improper integral A B if the 0 1 0 e dx is

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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: 1 √√√x + x² S- dx Solve the integral: 5in1+x² ² x ²³² | + c A C 5 n/₁+x²|+c B C Ⓒ 6in/5+x³ +C…

A: to evaluate the integral.

Q: What kind of polar graph has the equation r = 3 ? * cardioid lemniscate circle rose petal

A: Solution: equation r=3

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

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Q: What is the annihilator for y=x e*cos 2x ?

A: Our Aim is to compute the annihilator for y=x ex cos 2x -(i)

Q: Let f(x)=√3x-2 the y-axis and find the volume of the resulting solid. 83 (A) -unit ³ 135 83 (B)…

A: We will draw the curve f(x) and y=1. Points of intersectionf(x)=3x-2   and y=11=3x-2 1=3x-2x=1Point…

Q: If given integrand is x² cos 2x dx and dv is equal to cos 2x dx, what is v?

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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: D sec²u=1+tan²u

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

A: Please see the below picture for detailed solution.

Q: y = 2 sin 3x 1+3cos2x

A: We can solve this as follows:

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

A: Which of the following methods can be applied to find a particular solution yp.

Q: II. Draw a sketch of the given arc C and evaluate Sc [(x² − 2y)dx + (2x + y²)dy]. → 1. C is part of…

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

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Q: Find L(te²t sin 3t) 2t

A: Given:       Lte2tsin3t  Use Laplace transform table:          Ltkft=-1kdkdskLft For te2tsin3t:…

Q: y = x Arccsc (+)

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Q: A B (C) D dx -2 (2x + 1)² (241) 2 2 (2x + 1)² ex - ln( 2x + 1) 8

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Q: The given function v = ln (xy) + ex+y Determine Ov/ox

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Q: Evaluate: dx (x+1) log(x+1)

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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: √√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: lim (e²x + 2) 8118

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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: Evaluate the following iterated integral: for-y |x - y dx dy. Answer: 1/3

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

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

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

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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: Use summation notation to write the series -1+2+5+8+11...for 10 terms, then evaluate the sum.

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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 B (e³+ 1)² e3 (e²+ 1)²…

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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 of…

A: In this question, we want to know the limits of the Integral as a horizontal element.

Q: x³√/x² + 1dx

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

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

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Q: me general solution of (D²-2D+1)y=2sin > A y=c1eX +C,xe* + sinx+cos x y=C1eX +C,Xe* + sinx ©…

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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: 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.