∫ [2+(1/x)] ln(x)dx

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A: Given: x=42y2+1

Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

A: Given: ∫154xdx Solution: X 1 2 3 4 5 y=4x 4 22 43 2 45 h=1y0=4y1=22y2=43y3=2y4=45

Q: The function f(x, y) = x² + y² √x² + y² +1-1' (a) {(x, y) = (0,0)} (b) {(x,y) = R²2} 2 if : (x, y) =…

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Q: 1. J(√sinx+cosx) dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Evaluate the line integral y dx + xy dy where C' is the rectangle with vertices (0,0), (5,0), (5,4),…

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Q: the Taylor polynomials T₂(x) and T3(x) centered at x = 10 for f(x) = ln(x + 1). T. (m) 1

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Q: swers: i i Mi 0 0 O

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

A: Explanation of the answer is as follows

Q: find the derivitive, r'(t), of the vector function.  r(t)=a+3tb+t^7c

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Q: Q2 1. Find the distance between p(-2, 3,0) and Q(2,1,5). 2. Find the direction of A = 2i - 3j + 7k.…

A: Solution is here

Q: For each of the following ,find fx fy fxx fyy fxx and fxy 1.f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹ey.…

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Q: / If y" + 2y' F5y = e-Sint, y(0) = 0, y' (0) = 1

A: We solve the given differential equation using the higher order LDE techniques.

Q: 1) (hu) 07h =hx solve d ШF СП

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 7 Find the general Solution of the following PDES. -X • 3U XA2 Uy so > u(x,0) = 4 ex (3y-2x)/2 ans -…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: The given curves are y=x3 and y=x.   Now find the point of intersection between the given curves.…

Q: 1. Find the area under the curve y a. f(x) = x³ [2,3] b. f(x) = 3√x [1,4] (x) over the stated…

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Q: identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: dy Write down a differential equation of the form dx 17 all other solutions diverge from y = as t →…

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Q: Determine the roots of y"" - 4y" + 3y = 0

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Q: Show that the function f(x, y) = 3x - 4y² is differentiable at point (−1, 2)

A: answer is in next step. please give a like !!!

Q: II. Find the inverse of each matrix. 5 -11 -9 1. -7 DO 8

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Q: Differentiate the function with respect to y. A Z = + Bey уб Z' + Bey = 8A 9 y 20 -

A: In this question we have to differentiate the function with respect to y.

Q: 5.) I. -2 -3 -6 2 Simplify. Write "undefined -4 6 0 +

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Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point.…

A: Use derivative of square root of function.

Q: 2 \n'/x/ ax

A: We will solve the problem.

Q: Find the equation of the tangent plane to the surface defined by the function f(x, y) = x³…

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Q: X = 2t-2 - y = ln(t³) Which integral gives the arc length of the curve over the interval from t = 2…

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Q: √3 3-x² √√3√ √√3-x²√1 4-x²-y² 1 dzdydx

A: Explanation of the answer is as follows

Q: 2. Solve for x. 45x-x² = 4-6 a. b. (1 − x)5 = (2x − 1)5 - 60 c. 55 = 1+5e-0.6x d. 3 log x + 10 =…

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Q: Determine the values of r for which the differential equation y" - 4y = 0 has solutions of the form…

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Q: 2. Solve each of the following integrals using integration by part: a) √3x² In 2x dx b) 5x sin 3x dx

A: Integration is evaluated.

Q: find the solution of following differential equation using Laplace transformation. y" + 3y + 2y = ex…

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Q: • show that Ф (x, y, z) = 8²4 PDE: агф + дуг дуг х2 +у2 + Z2 8²4 872 satisfies the

A: First we find the respective partial derivative then add them to get value 0. see below the…

Q: Given a second order differential equation dx 2x = e³t dt where t = 0, x = -5. Using Laplace…

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Q: 4) A projectile travels at a velocity of v(t) = 45-32t, where v(t) is measured in feet per second.…

A: According to our answering guidelines we can answer one question at a time, therefor I am answering…

Q: 2. Solve each of the following integrals using integration by part: a) [3x² In 2x dx b) 5x sin 3x dx

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Q: Q4: A) For each of the following ,find fx fy fxx fyy fyx and fxy 1.f(x, y) = ln(2x + 3y). 2.f(x, y)…

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Q: Let R be the region enclosed by the polar curve r (0) = 1 + 2 cos² (0) where 0 ≤ 0 ≤ Y R 1 Which…

A: Consider the region R

Q: Farklı yaklaşım doğrultuları kullanarak aşağıdaki fonksiyonların (x,y) (0, 0) için limitinin…

A: Find the limit for (x,y)=0,0   using different wayslim x,  y→0,  0x4-y2x4+y2

Q: - 2.f(x,y) = y²x¹ey.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: I. A delivery rider is travelling along a horizontal line such that its directed distance from his…

A: This is a problem related to derivative of the distance function. Based on the general formula and…

Q: I. 1.) Simplify. Write "undefined" for expressions that are undefined. 2 [164] -6 -5

A: Topic = Matrix

Q: Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y" +…

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Q: 2. I. -4 1 Evaluate each determinant. 3 -3

A: -431-3=12-3

Q: Iim tan³x X10 1- Cos2x

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Q: 2. A particle is moving in space with position function (t) = (sin(3t), cos(3t), 3 – 4t). 2.1. Find…

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Q: The Substitution Method states that A. If F'(x) = f(x), then [ ƒ (u(x))u²(x) dx = F(u(x)) + C B. If…

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Q: For the curve x+y-y=1 complete the following parts. a. Find equations of all lines tangent to the…

A: This question is related to tangent to the curve, we will solve it using given information.

Q: 2. Two research assistants, Adi and Bea, review some data from an experiment. The number of pollu-…

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Q: 2. Remy, a rat, is walking along a straight pipe. His directed distance (in inches) relative to the…

A: