2. lim x sin(1/x) X18 ex+2x 3. lim X18 ex

Q: لله √ √³ √ √² zysin(2² + y²) dz dy −

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Q: If (x+1) dx (x+2)(x-1)² 1 93 2 93 S- A B D -io 1 W|N -io 2|3 2|3 9 3 A x+2 + B + x-1 C (x-1)² (x -…

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Q: dx using miscellaneous substitution will yield to secx + 1 Transforming A B © ² с -dz 1+z² © S²+ /…

A: Please see the answer below.

Q: -Je cosx dx

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Q: What kind of the polar graph has the equation r = 2 + 2 cos 0? limacon cardioid lemniscate…

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Q: 3. Use Use the disk method to determine the volume of the solid obtained by the revolving the region…

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Q: Use implicit differentiation to determine the derivative of the following functions. 1. 3x²+2y²-81…

A: Given :3x2+2y2-81=05x2+4y=16

Q: The reverse order of fo Say હરે e² dxdy is equal to e-1 8e None of them

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

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Q: xdx (x+122

A: The objective of the question is evaluate the indefinite integral.

Q: Solve the integral: A B с 1 √√x+x √√ Sin/1+x²|+c -In +C 6in|5+ x²|+C с {in/1+x³ |+c C dx

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Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: Given the integral [sec (x - 1) tan4 (x − 1)dx, which of the following equations will be useful for…

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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: A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 MeV (million or…

A: Let's find time to taken sample to degrade to 4.5kg.

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: the indefinite Integral In(cosh x + ex)- A In(cosh x +ex) Sinh x + e* cosh x + ex (В sinh xtex sinh…

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Q: y = 3 Arcsec 3x

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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: Evaluate: L{cos(3+2t)} s cos3+2sin3 A s² +4 S (B (s+3)² - 4 S (s+3)² +4 s cos32sin3 s² +4 (c) (D)

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

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Q: Solve the integral: S- ® in/1+x A) an 1 B_5n/1+x' 5 6 1 √√√x + x + C + C c dx

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Q: dx ef. using rationalizing substitution. x1/2 + x2/3' Evaluate

A: We know that integration of xn is xn+1/n+1.   Here i attached the solution of this question.

Q: 1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

A: We know that integration of xn is xn+1 /n+1. And integration of 1/x is lnx +c.   Here i attached the…

Q: X lim x→1 x-1 Your answer x In x

A: Let's evaluate given function by using l'hospital's rule.

Q: 1. x + y + xy = 21

A: We will use simple differentiation rules to solve this question.

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: 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: Question 33 If g(x)=- A) B D d = 2√²-1 (2 ·S^*^[e'-In(21+1)]dt, find g''(x) - 4 (2x+ (2x + 1)² e*…

A: Solved below.

Q: Find the equation of the tangent line to the curve y = 4 sin x at the point (7,2 The equation of…

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

A: See the details solution in below

Q: 6. Find the area enclosed by the curve x² + 8y + 16 = 0 the x-axis, the y- axis and the x-4 = 0…

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Q: Which of the following is a third degree partial differential equation? 3 дz J2z A др (В D др2 дz др…

A: given data  to find the degree of the partial differential equation

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

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Q: Given than f(x) dx = 4 and A None of the given choices ℗ 25 (2) dx = [1 (2) de B f(x) © f (x) dx =…

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Q: 2. Use the disk method to determine the volume of the solid obtained by the revolving the region…

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

A: Region to be

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: If f(x) = A B C -S sec²x D tanx l+et sec 3x √1+1² 1+e' 1+e lanx -dt, then f'(x) equals tanx 1+e In…

A: A detailed solution is given below.

Q: tank has pure water flowing into It at 10 L/ min. The contents of the tank are kept thoroughly…

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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: 5. Use the cylindrical shell method to determine the volume of the solid obtained by the revolving…

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Q: Evaluate: lim (1cosec²x + 2cosec²x + 3cosec²x + ... + n° x-0 +ncosec²x)sin²x

A: Given problem:-

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

A: Please see the below picture for detailed solution.

Q: Which integral below gives the volume of the solid of revolution obtained by rotating the bounded…

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Q: Evaluate the integral: e3+ cosh2x33+ cosh2xsinh2x dx

A: We know that integration of ex is ex + c .     Here i attached the solution of this question.

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

A: Solved below.

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

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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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