x^2 dx V1+x^3

Q: . Find the general solution to y + 2x = 5y³. dy . Solve the initial value problem of (sin x) = y cos…

A: Topic:- differential equations Note :- as per our guideline if more than one question uploaded than…

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: We have to choose correct option

Q: a. Give an example for a commutative ring without identity. b. True or False: Every ring is a group.

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Q: Please Attach the Venn Diagram of the given problem including the complete solutions to answer the…

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Q: x - 2x +4x–8 Draw a graph of the function R(x) = Justify all major features using limits. x -11x+18

A: To solve the following problem

Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

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Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…

A: Given:

Q: 7. p =5+2/6 a. Resolve into factors: x-8(x-y) 1 b. Show that p° = 396/6 p° c. Find the value of p…

A: This question can be solved using the concept of factorization.

Q: x²(3 –4x)dx -4 318 338 358 378 None of the Above

A: Given: I=∫-4-1x23-4xdx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: Given

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: R is the region bounded by the lines y = x, y = -x, and x = 1. %3D

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Q: [² + y²) dA; R = {(r,0):0 srs 4,0 s 0 < 27}

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Q: Evaluate the integral: T So sin(x)dx

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Q: Find dy/dx of 6x² – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 4/3 On the circle x + y? = r²,…

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Q: lim, (e² – 1)cosx COSX

A: To evaluate the given limit.

Q: Jが 10x° - 24メクt9 dx

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Q: Guten tho plane Pusith equatim ze +y -z= 3. and line Leaithuymmetrio oquatim p = 1 - y =g. determene…

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Q: Suppose that 10 grams of the 1 plutonium isotope Pu239 was released in the .Chernobyl nuclear…

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Q: y - 4y+ 4y = 2t2 + 4te2t + t sin2t

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Q: y"+y'=t ; where y(0)=1 and y'(0)=-2||

A: Here, the given DE is: y''+y'=t Taking Laplace transform on both the side:…

Q: The temperature at which water starts to boil (its boiling point) is linearly related to the…

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Q: 1 х-x? dx -8 2 V

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Q: Consider the paints A (-2,3.1),8(0,0.2) and C (-1, 5.-2). (1.) Find a vector of length ST in the…

A: This is a problem of vector calculation. Based on the general formula we will answer the question.…

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y =…

A: Here we have to find the volume.

Q: -2 Evaluate dx ех

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

Q: Find the vertical and horizontal asymptotes. (Enter your answers as comma-separated lists of…

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Q: find dy for ee Sin (メ+34) dx

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Q: Find the value of c so that f(x) is continuous at x = 3? x2 f(x) = x 3

A: Given query is to find the value of c.

Q: Exercise 14.5.1 dz for the the following functions To calculate z = f(x, y) = 2 – 3ry + 2y? I = r(t)…

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Q: Consider a rectangle with the following property. Perimeter: 112 meters Let w represent the width of…

A: A rectangle has perimeter 112 meters.

Q: 4 dx 4-x2 Evaluate

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Q: Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2 + In? x -dx x(1 – In x)2

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Q: 11. (e* sin y – 3x²)dx + ( e* cos y+ |dy = 0 12. (2x + 1+x?y? ) dx +( -29) dy = 4 - 29) dy = 0…

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Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

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Q: Let R be the region of the 1st quadrant enclosed by x=y^2 , x=2-y^2 ,y=0 . 1.1 Draw an area R.…

A: Given that;  x = y^2   and x = 2 - y^2       Let's find area between two curve in 1st quadrant.

Q: . lim, 1 -2 Inx x-1

A: To evaluate the given limit

Q: Suppose that f(1, y) = 2z² + 2y – zy Then the minimum is

A: We need to find minimum value.

Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: 4) Evaluate each integral using the indicated substitution |(2x+7)(x² +7x +3)*5 dx; u=x² +7x+ 3

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Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.

Q: Find the volume generated by revolving the area bounded by y =r,r=2, y = 0 about the line z = 2.…

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Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

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Q: The value of the triple integral 6zdV where E is the upper half E of the sphere of x² + y? + z? = 1…

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Q: 28. y' ry + 1; (ry+ 1)dr- dy 0 29. dr- dy 0 %3D

A: Differential equations

Q: 3. By hand, find all the solutions (if any) of the following linear system using the augmented…

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Q: rounded to the nearest hundredth as needed.)

A: We have to find the producers surplus according to the given information

Q: The volume of the solid obtained by rotating the region enclosed by y = eSz + 2, y = 0, T = 0, I=0.4…

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Q: The following integral may be solved using substitution. Choose a function u that may be used to…

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