S (2².1² (2x² – 3x) dx 2 2.

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

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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: 0.06x, solve f'(x) = 130. (Round answer to nearest tenth.) Given f(x) = 250 e X =

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

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Q: Evaluate each of the following line integrals. cy²sin³x √1+ cos²x ds where C: y = sin x going from…

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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: If a function F is an antiderivative of the function f then F'(x) = f(x) , and ∫f(x)dx=F(x)+C for…

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: 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: May I ask why there is a plus 8 in the final answer?

A: We have to explain why there is 8 in final answer.

Q: Write TRUE or FALSE before each statement. Solve+Q=4. independent variable. the above differential…

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Q: -Je cosx dx

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Q: Evaluate D³(sinx - 4e²x) (A) sin x-32e²x (B) -cos x-32e²x C -sin x-32e²x D cos x-32e²x

A: Finding the third derivative of the function

Q: * The evaluation of So So x y ex² dxdy is 0.25 e - 0.5 0.25 e - 0.25 None of them

A: The objective is to evaluate the double integral.

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

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Q: 1₁ (16-x²) dx -1 What is the approximate area of the given function using the Right Riemann Sum…

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

A: Given problem:-

Q: Which of the following is homogenous of smallest degree? (A) In x - In y B x+y x-y C √x-y x² + y4 X…

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

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Q: y=Arccos (x²)

A: The objective of the question is evaluate the second derivative of the given function.

Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.  How fast does the tip of…

A: Given that, A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.

Q: Given A B 1 -dx, determine all value/values of P for which the improper integral converges? to…

A: Using p-test form infinite limit we know that:  For a>0: If p>1 then ∫a∞1xpdx converges. Here…

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: 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. units…

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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: Find the average value of f over region D. f(x, y) = 3x sin(y), D is enclosed by the curves y = 0, y…

A: Here, the domain D is the area enclosed by the curves y=0, y=x2 & x=7 is: A=∫07∫0x2dy…

Q: (D5+ D4-7D³ - 11D²8D-12)y = 0

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

A: Given:      fx=x-13       gx=x-1 Volume of solid generated by revolving around the region is…

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: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: 2) Find the standard deviation of the population sample. 2, 4, 7, 12, 15 3) Find the variance for…

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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: If two objects travel through space along two different curves, it is often important to know…

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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: From a table inside a room with current temperature of 32 degrees Celsius, a left over Fried Chicken…

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

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Q: ? Question af Use Mathematica to find the other partial derivative for the function dx f(x, y) = x²…

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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…

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Q: sinh xte cosh x + ndefinite Integral Sin(cosh x + e*)- In(cosh x + e*) sinh x te cosh x + ex

A: We have to calculate the given indefinite integral according to the given information

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

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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

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Q: Question 5 Which of the following is not true? A None of the given choices ℗ √ ² in(x²) dx = I'm √…

A: The objective is to find which option is not true.

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: Solve the integral: Seln(2x²+3x-4)³ (4x+3)dx eln(2x²+3x-4)³ A (2x²+3x-4) (2x²+3x+4)*(4) 3 B + C…

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Q: Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+cosh2x B 2ln3…

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

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

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

A: