ate ſ- dx 4x²+1

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

A: See the details solution in below

Q: If p = (7, 2) q = (5, -1), find p - q.       a)  p - q = (2, 1)   b)  p- q = (12,1)   c)  p - q…

A: p = (7, 2) q = (5, -1), find p - q here we have to make substraction of set here we have to…

Q: Suppose that the concentration (measured in gm3) of nitrogen in the soil along a transect of land…

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Q: Use Leibniz's rule to find 히증 11 Textbook dx for y= 0 S 7x² 8t - dt. 8t+1 Ask my instructor

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Q: Find the indefinite integral by usi Integration by parts formula: 5

A: ∫ x5lnxdx

Q: - 2. (x²y² + xy + 1)ydx + (x²y² − xy +1)x dy = 0

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Q: An equation of the plane passing through A (1,-1, -1), B (1,0,2), and C (-1,-1,-5) is: 2x+3y-z = 0…

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Q: Question 1 described by the vector function r(t) = (4t² ln t, t-4 29 -2e-³t). a) Find the integral…

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Q: Find the derivative of the vector function, r(t) =

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Q: Let f(x) = = √9 - x + 5. Determine f-¹(x) and the the domain of f¹(x). ƒ-¹(x) Domain of f-¹(x) = =…

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Q: Find the following Wronskian: W(4, 3t, e-³¹, te-³1) O-972e-6t 0-972e6t 6 972e6t O 972e-6t 00 O-6

A: We can find the Wronskian .

Q: Wendy took a trip from one city to another, a distance of 480 mi. She traveled part of the way by…

A: We have to find how long did Wendy spend on the train.

Q: Use partial fractions to find the indefinite integral. (Use C for the constant of integration.…

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Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

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Q: A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away. An automobile…

A: This question is based on application of derivative.

Q: 1. Let f(x, y) = y³ + x³ - 2/1y²-3x+30y. (a) Find all the critical points of f. (b) Determine…

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Q: Work problem 2 (1 Let w(x, y) = 5x - 5y - x² + 5y³, x = cos(t) and y = -sin(3s). Use chain rule to…

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Q: π sin" g 2. So cos² g dg

A: The given integral is;  Sin5g/Cos2g, limit from 0 to pi.

Q: Let z = (y - 2x) ³, where x = s′ s²t and y = st². Use the Chain Rule to dz find when s = 2 and t =…

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Q: Use Example 1 as a model to evaluate the limit n limf(c)Ax; i=1 n180 over the region bounded by the…

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Q: In(t³ + 1) + t³ + 1 r(t) = 4: then the limit lim r(t) equals 1-0 -i-(4e-²¹-5e²¹)j- - sin³t -k, 13

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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: E A4 sin (e-² + ln z) + C 4 sin (-e-²) + C B O A § 4 (½ − e¯²) cos (e¯² + Inz) dz B E None of the…

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Q: 6. If z = x + iy = (x, y), then the equation z²+z+ 1 = 0 is written as (x,y)(x, y) + (x, y) + (1,0)…

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

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Q: Find the general solution of the differential equation. y"" — 17y" +82y' — 120y = 0. NOTE: Use C₁,…

A: Here we have to solve the differential equation.

Q: Determine the vector equation that represents the curve of intersection between the cylinder 2¹² +…

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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: If A(3, 2, 9) and B(-4, 7, 2) are two points in 3-space, then find the vector AB. a)  AB= (-7, 5,…

A: If A(3, 2, 9) and B(-4, 7, 2) are two points in 3-space, then find the vector AB.

Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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Q: Question 1 f(x, y) = 4xy 2x²+5y² Consider the function a)!* s Find the domain of f. b) [₁ Show that…

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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: Let A = A(r) give the area of a circle of radius r. The instantaneous rate of change of the area as…

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Q: 22. Use the Rational Zero Theorem to help you solve the polynomial equation 2x17x³ +46x²-43x + 12 =…

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Q: J7 -dz 21-8

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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: f(x, y) = 75 + 8x+5 Find fx, fxy, and fxyx. 8x³ e-8y

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Q: 4. (x² + y²)dx − 2xydy = 0

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Q: x² 2 =dx 2 √4+x²

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

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: Solving the following secondary order differential equation: d²x dx dt² 3. +2x = 5e-³t dt

A: Solve differential equation

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: To find sets of parametric equations and symmetric equation of the line that  passes through the…

Q: Use polynomial division to express the following rational functions as a quotient plus a rational…

A: We can find the answer as below.

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

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Q: 1 √√1/₂ 1/² y+4 y² + y fip C

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Q: y'' + 8y' + 32y = 0, y(0) = 4, y'(0) = -24 y(t) = The behavior of the solutions are: O Oscillating…

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Q: The range of the function f(x, y) = This option 10, 1/3] [1/3, +00[ O This option None of these 1…

A: Domain:- The set of all those points (x,y)  such that the function at those points exists.Range:-…

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: Evaluate f 2x³ +9x (x²+3)(x²-2x+3) dx

A: Evaluate ∫2x3+9xx2+3x2-2x+3dx=?

Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…