Evaluate 1-(In x) x In x -dx

Q: Write The Green's Theorem in the plane relating double integrals and line integrals. (Please, don't…

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

Q: = √ Evaluate 1 /x(1 + √x)² dx.

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Q: 1. Let C be the curve described by the equation x³ + 3x²y-xy² = 3. dy dz (b) C contains the point…

A: Equation of tabgent to a curve y=f(x) at a point (a,b) is given by y-b=y'(a)(x-a)see below the…

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Q: The following limit lim Select one: None of them O does not exist. equals 0. equals 1/3 O equals 1…

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Q: Which of the following rational functions is equivalent to the partial fraction decomposition 2x 2x…

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Q: 1 √√1/₂ 1/² y+4 y² + y fip C

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Q: ax+ 2 x ≤ 2 f(x)=4-x², 2<x<3 2x+b. 3 < x Find the value of a so that f(x) is continuous at 2. Find…

A: To find out the value of a as f(x) is continuous at 2.

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: 1 -1 tan X x² +1 -dx

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Q: Let z = √7xy +9y, and x = s³ and y = 1². Use Chain Rule to find dz when t = 1 and s = 2.

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Q: The partial derivative of the function f(x, y) = 4x² - 3xy + 5y - e3x+8y with respect to y is:…

A: The given function is;  f(x,y)=4x2-3xy+5y-e3x+8y.

Q: write a possible transformation in function that will transform the ordered pair (-1,4) to the…

A: Transformations.

Q: Question then the range of f is the interval [0, 12]. Select one: O True : If f(x, y) = 3√/16 - x² -…

A: This question can be solved using the concept of domain and range of multivariable function.

Q: If p = (7, 2), then find -2p.

A: If p=7, 2, then to find -2p.

Q: Let u = (4,-1,-1) and v= (2,-2, 2x + 1) be two vectors in space. Find alle ER such that u and v are…

A: The given vectors are u=4,x-1,-1 and v=2,-2,2x+1

Q: 1/4 1 1/12 √√x (4x + 1) √x (4X - dx

A: See the details solution in below

Q: a b) exist. x² yesy 8x4+7y² Find the domain of the function f. f(x, y) = Show that lim f(x, y) does…

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Q: Fill in the blanks Enter intercepts as ordered pairs, aka points. Then Graph the parabola given in…

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Q: Question Select one: equals 4. None of them does not exist. equals 12. equals 0. 8x³ - y³…

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Q: $] A) Solve the IVP: 2) [23 (2x - 4). - 2 ln 5x + 2y = 0, y(3) = 3. dy dx B) Give the largest…

A: Concept: Initial value problem (IVP): Initial value problem (IVP) or Cauchy problem is the term used…

Q: (x³ − 2y²)dx + 2xydy = 0 -

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Q: Question a)' b)'. : Evaluate the integral J ,: Show all your work. 3x-1 (x + 4)(2x - 1) . Evaluate…

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Q: ZOOM Find the following for each problem: a) domain, b) x-intercept(s), c) y-intercept, d) vertical…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: Every student who wishes to enter the public library at Hotel de Ville (HdV), in the center of…

A: The solution is given below

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A: Given: there are 5 registrations specialist on different windows faciltaiting registrations, the…

Q: The area of the region enclosed by the two curves y=x²-4 and y = x - 4 is given by

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Q: Use an appropriate test to determine whether the series converges. 1 2 3 + 24³ 253 26 By the + +…

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Q: Which of the following is a valid expression for cos ¹ x? 04-sin-¹ a 01/2+ + sec¹ a 1 sec-1 01-…

A: The given expression is cos-1(x)We have to find the valid expression for cos-1(x)

Q: Find where it increasing and decreasing x^5-2x^4+3x^2-5x+

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Q: The integral S.¹0 d 10 x²+6 x-8 is improper. dx

A: The given integral is (x2+6)/(x-8) , limit from 6 to 10.

Q: then the / r(t)dt is equal to r(t) = (-2 cos (21), 3 sin (4t), In (2t)), Select one: True where C is…

A: Please see the below picture for detailed solution.

Q: Find the radius of convergence, R, of the series. Σ n = 1 R = | 1 Ο μ 2 5 8.. · (3η – 1) Κ Find the…

A: The solution is given below

Q: Which of the following is the gradient vector of the function f(x, y, z) = cos ry sin yz? Select…

A: Here, the given function is: f(x,y,z)=cos(xy) sin(yz) Note that the gradient vector is given by:…

Q: 1. (x² + y² + 2x) dx + 2ydy = 0

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Q: Find the difference quotient for each of the following functions and reduce to lowest terms A.…

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Q: 2. Solve the following 4th order linear differential equations using undetermined coefficients: y…

A: We need to solve D.E.

Q: If In (x² - y) √-x+y+1 then the domain D of the function f is given by the set f(x, y) = Select one:…

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Q: The limit lim (x,y) →(-2,-5) exists and is equal to -20. Select one: O True O False 25x²-4y² 5x-2y

A: The objective of the question is determine the limit existing.

Q: Let y= 3x2 +7x+4. If Δx=0.4 at x=2, use linear approximation to estimate ΔyΔy

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Q: The following limit lim Select one: 16 equals 1 3 equals 0. does not exist. None of them equals 2x²…

A: To evaluate the following limit.limx,y→-2,2 2x4+2y43x2-3y2

Q: x² 2 =dx 2 √4+x²

A: solution:-∫x24+x2dx=4∫x2441+x24dx=2∫x221+x22dxwe know thatcosh2t-sinh2t=1cosh2t=1+sinh2tusint…

Q: lim x-x6-x O +∞ 00 ∞- O O 3 1 2 ||

A: topic - limits

Q: I dx x√x² - 64

A: we will solve integration by substitution.

Q: Use linear approximation, i.e. the tangent line, to approximate 27.1 as follows: Let f(x)=√x. The…

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Q: Evaluate the definite integral by the limit definition. L (x² + 4) dx X 31

A: use the limit formula for integration

Q: Which of the following is not true? d dx O d dx d d.x [sech a] = sech z tanh x dx [csch a]=-csch a…

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Q: Evaluate: lim 8118 x6x² + x²-1 8x6 + 4x³ + 10

A: see below the calculation and answer

Q: 2n Consider the series ₁ (-1)" (1 + 1)². Which of the following statements is true? n=1 The series…

A: A series ∑n=1∞ an is said to Converge Absolutely if the series ∑n=1∞ an converge and Conditionally…

Q: Compute the following: sin² (x) dx

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