1 dx 1+Vx

Q: 1 Evaluate the integral I+2/3 dr.

A: We have to find value of given indefinite Integration.

Q: Find the area enclosed between f(x) = 0.6x² + 3 and g(x) = x from x = -2 to x = 6.

A: Topic:- application of integration

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am solvi...

Q: determine whether the lines -2x + y=3 and 3x +3 y = 5 are parallel , perpendicular or neither.      ...

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Q: 3. The area of the region under the curve y = 6z bounded by the lines z = 3 and z = 5 above the I-ax...

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep saf...

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Q: dx Given: Vx sin/x Find: Formula o fcsc u du 2 | csc u du O 2 | sin u du Jsin u du

A: Explained below 

Q: Vi +* +! dt f(x) = t2 a) Find f(2) Answer (Enter a number rounded to 2 digits after comma): f(2) = 4...

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Q: Evaluate the integral dx 2x3 - 3x x |/3x - /2 2/2"V3x + v2 1 +C O 16V2 + V3 In 3 |/2 - 3x +C In +C 2...

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Q: sin 6z Evaluate: lim エ→0 00 O1 Which among the following limit theorems were applied? sin x O im エ→0...

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Q: Зх-5 Given: (3х- 1)(х - 3) Find: u x-3 О 32 +3 О 3x2- 10х+3 Зх- 1

A: Explained below 

Q: 5. The volume of the solid formed by revolving the region bounded by the curve y = Vcosz, I-ax: from...

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Q: dx Evaluate 2 -1 O -2 O -0 O O O O

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Q: Part of the piecewise-defined function - (I – 5) +3 if 4< ¤ < 7 f(z) = bif =7 MI if 7< I < 14 is ske...

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous on the interval...

Q: Evaluate the integral tan 4x dx tan? 4x 24 O 1 sec 4x Arcsec + C - Vtan? 4x – 24| +C n tan 4x + 1 -A...

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Q: 16. Explain the squeeze theorem using any example of your choosing.

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Q: For which values of the lower limit of integration a is the following integral convergent. 1 dx 4x 1...

A: Here the limits of the integral are finite. So, the integral will be convergent if its value is a fi...

Q: Evaluate the following. Use the graph of f(x) to evaluate the following expressions. (4, 5) (1,5), (...

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Q: Sketch the region of integration and change the order of integration. (x, y) dy dx f(x, y) dx dy

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Q: 3. y = x³ – 3x² + 2x – 6 ACTIVITY 1. Find the deriva 1. f(x) = -2 2. g(x) = 4x3 %3D 2 %3D -

A: Solution:As per our guidelines we are supposed to answer only three questions. Here  f(x)=-2

Q: 49-60. Evaluate each limit. cos x - 1 57. lim 0 sin? x

A: The given limit,     limx→0cos x-1sin2x

Q: Which of the following graphs show a jump discontinuity? (Select all that apply)

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Q: Assume that sin(z) equals its Maclaurin series for all x. Use the Maclaurin series for sin(72) to ev...

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Q: The demand for a company's e-reader can be approximated by g(p) = 21e0.02p million units per year (3...

A: Solution is here 

Q: r(x) = (/2x + 1 - x²)-1 r'(x) =

A: Given query is to find the derivative of the expression.

Q: A woman attached to a bungee cord jumps from a bridge that is 38 m above a river. Her height in mete...

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Q: Use sigma notation to write the Taylor series about x = function. 1 x + 5

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Q: The population of a certain state (in thousands) from 1991 (t= 0) to 2001 (t= 10) is modeled by the ...

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Q: Given: [2x? (3-5x*)" dx 2x3 (3 – 5x Find: Formula o fu'du 02 fu'du O-2 fu'du Su du 1 10

A: I am attaching image so that you understand each and every step.

Q: Solve the differential equation with appropriate method. Simplify final answer free of fractions and...

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Q: Given: [ Scos(cos2x) sin2x dx Find: du O 2cos2x dx O -2sin2x dx -2cos2x dx O 2sin2x dx O O

A:     ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

Q: Evaluate the iterated integral by converting to polar coordinates. V2x – x2 5/x2 + y² dy dx

A: Explained below 

Q: sec (In x) + sec2(In x) tan(In x) 2х Given: dx Find: du tan(in x) 2х sec³(In x) + sec²(In x) sec(in ...

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Q: Evaluate the following improper integral. Give an exact answer. 1. dx 2/3

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Q: Use Stokes' Theorem to calculate the integral / curl F · dà where F = -5yi+ 5xj + (xy+4 cos z)k and ...

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Q: •tan(e-x) Given: ex Find: du exdx e-*dx - exdx O -e-*dx

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Q: Integration by parts is based on what differentiation rule? Explain.

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Q: f(x) = x2 + 7x +  5 x f '(x) =

A: Given query is to find derivative of the expression.

Q: Calculate the iterated integral. 36(u – v)³ du dv

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Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0. ...

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second co...

Q: dx Evaluate (1– 2x)² 1 2 O -1 1 2

A: To solve the following integral

Q: dx Evaluate 6e* cos (3e *) O 2 [In |sec(3e-x) + tan(3e-|] + C In |sec(3e-M) - tan(3e-|] + C O -18 [I...

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Q: Exampi r(x) = (/2x + 1 - x²)-1 %3D "(x) =

A: Given query is to find the derivative of the expression.

Q: v) Given that the expression for the composite function, i[h(x)], can be written in the rm: V(ax + b...

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Q: determine if the function is continuous or not. type continuous if the function is continuous at a c...

A: NOTE: Refresh your page if you can't see any equations. . consider the two functions only

Q: Use sigma notation to write the Taylor series about x = xo for the function. e; xo = 10 O 00 e10 E* ...

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Q: Discuss the continuity of the function g(x) = 1/(x^2-4) on the interval (0, 2] and [−1, 3].

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Q: . Set up the integral with represents the area of the surface z = xy that lies inside of %3D the ell...

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Q: a. Find the equation of the line tangent to the following curve at the given value of x. b. Use a gr...

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Q: Find the derivative of the given. f(x)= cos x cot x let g= cos x and h= cot x. Then, g'= -sin x an...

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