Question 8 Using Simpson's method 2 √ ²x³ dx for n = 4 is equal to

Q: cot 0 sin Ꮎ - csc Ꮎ 11. Prove the identity: - = -sec 0

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

A: What is the integrand

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

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Q: Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due…

A: Solution is here

Q: 4 [*(16-x²) dx

A: Using left reimann, approximate area is evaluated.

Q: The hyperbolic paraboloid (saddle) f(x, y) = x² - y² + 4 is shown in the 3D model below. Find the…

A: Here, to find the volume f(x,y)=x2-y2+4 between the rectangle R=[-2,4]×[-1,2]

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

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Q: Evaluate each of the following line integrals. Sc [(x² - y2)dx + (2xz)dy + (xy-yz)dz] where C: x =…

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Q: 1. Find the area of the region that lies inside the cardioid r = 1+ sin and outside the circle r =…

A: We need to find area.

Q: Evaluate the double integral: 2 √ ² √² (3x² +9y²) dx dy 0

A: To solve the given double integral.

Q: Determine the area bounded by f(x)=x²-x and x-axis. unit² B unit² Ⓒunt² D unit²

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Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

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

A: To solve the improper integration.

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: Using Trapezoidal method √²³x² dx for n = 4 is equal to

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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: How many antiderivatives does a function of the form f(x)=x" have when n*0? A may vary depending on…

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

A:

Q: X √√√3/2 x² Solve the integral: A 6√√x +C 3√√x² (B - + C 6 Ⓒ3√√√x² +C с √x (D 3 dx

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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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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: 1. ²₂(x² − 2xy² + y²³) dx dy

A: Solve the following integration .

Q: y= 3 Arcsec 3x

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

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Q: Solve the following y" - 3y' + 2y = 2x2 + ex + 2xex + 4e3x -

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Q: The given function v = ln (xy) + ex+y Determine 02v дхду

A: Given  v = lnxy + ex+y We have to determine  ∂2v∂x∂y.

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

A: Using disc method, volume is evaluated.

Q: Which of the following can be determined given Ⓒx-d A (x) - )-g(x))dx (B S (4f(x) +9h(x))dx g(x)dx…

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Q: V = 8TT². Which is the correct expression for dV dr dh 16ПР- dt dt dV dr = 16Tr dt dt dV = dt dV dr…

A: Topic:- application of derivatives

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

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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+…

A: The volume of the solid is 63π unit3

Q: [_²_f(x) dx = 0 and [ f(x)dx = 11₁ Given 6 A 0 B C D 11 5 11 6 55 6 evaluate 1 [²3f(x) dx - √₁2 f(x)…

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Q: The triple integral ¹²-x² √4x²-y x dzdydx is equal to 0.33 0.08 None of them O

A: Let's evaluate given triple integral.

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

A: Solution: equation r=3

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: The general solution of (D³-4D2)y=0 is A y=c₁+ ₂²x+c₂e-²x By=c₁+ c₂x + c3e4x - 4x Ⓒy=C₁ + c₂x + c3е¯…

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

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Q: (D³ + 3D2 + 3D + 2)y = 0

A: Find out the solution.

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

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Q: To evaluate the integral sin³0 cosed by trigonometric transformation, we use the identity;

A: Correct Option is D

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: Solve the integral: √√ 3√x dx x²

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Q: Evaluate the double integral [[ cos(x + y) dA, where R is the region bounded by the lines y = r and…

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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: 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: x+2 Determine the case of the following proper rational function after simplification: (x2 -…

A: Here, the rational function is: x+2(x2-4)(x3-8)=x+2(x2-22)(x3-23)=x+2(x-2)(x+2)(x-2)(x2+2x+4)

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

A: Given that, Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from…

Q: To evaluate the integral sin ³0cos (A) sin²0=1-cos²0 1-cos20 B sin ²0 2 sin20 sin cose 2 1+ cos20…

A:

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

A: