5-e* 2x

Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t< 5

A: This question can be solved using the concept of length of arc of curve in parametric form.

Q: how did you arrive at x=34

A: Apologies for the inconvenience. Here is the correct solution:   The given profit function is:…

Q: Consider the function y= >x3 – 9x + 4. a. Sketch the graph of y= x3 – 9x + 4. b. Find and describe…

A: Let's find.

Q: Consider the following. u = 3i - j- k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v. (b)…

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Q: A high-walled arena has a radius of 20 meters. Point O being the center, point A is along the…

A: Given that radius = 20 m. So, OA = OC = 20 m. Given OB = 10 m. So, BC=202+102=500=105 m.   Let, D =…

Q: y(x)=asin2x+bcos2x, where a and b are arbitrary constants, is solution of the differential equation…

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Q: 4. S ( 12 x³ + 15 x - 20 ) dx 5. S 10 x2/5 dx 6. § 3 ³V x8 dx 7. S ( 8 + 2 dx x3 x4. 8. S ( 2x³ -…

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Q: Determine if (6x + y^2) dx + y(2x - 3) dy = 0 is exact or not

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Q: The base of a three-dimensional figure is bound by the circle x² + y? = 9. Vertical cross sections…

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Q: Find f'"'(x), the third derivative of f, and f (x), the fourth derivative of f. f(x) = 7x* + 2x³ +…

A: In the original solution it had been shown that:  f4x=ddxf'''x=ddx168x+12=1681+0=168

Q: p(x, y, z) 4 – x² – y²

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Q: 1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: dz (b) Determine the by using the Chain rule with the following information: ds 2 X = - s2 2 7 z =…

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Q: IM Given that > п+1 = 0.47199 determine the value of n3 n + 1 n=3 n3 n=5

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: What is the differential equation of the given 1 parameter family of solutions?

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Q: J In(x² + 1)dx

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Q: F the curve. -)i + sin(nt)j

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Q: Explain why the integral is improper. 25 05 O At least one of the limits of integration is not…

A: Here, the given integral is: ∫091xdx

Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

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Q: 1. F(x) ; (3, 7), [-6, 4], (-co, 0), (-5, +∞), [-5, +∞), [10, -5) %3D x+5 2. F(x) =: (0, 1), (-1,…

A: To find the domain of the function.

Q: Use limits to determine all the linear asymptotes of Зд? — 5 if r1. a² + 2x – 3'

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Q: 38. 4y" + 8y' + 3y = 0

A: Question no.38 solved

Q: Sketch the graph of the given polar equations. 57 17. 0 = 6.

A: We have given a polar equation,                    (θ)= 5π/6 Now, we have to draw it's graph.

Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: 3. S w°cosw dw

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction V -6…

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

Q: Lets compute a derivative in reverse! Given the function f(r) = e² + sinhr + + z find a function…

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Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: Find the following. (0, 1), v = (5, -3) (a) u|| (b) ||v|| (c) |u + || (d) |ll M (e) u+ v (f) |u+ v

A: Given  u = 0, 1, v = 5, -3

Q: 10. On a typographic map, the contour lines show changes in elevation of the land. You and a friend…

A: a) From the figure I have an elevation of 200 ft and the elevation of my friend is = 800 ft. So the…

Q: Find the arc length L of the graph of r(t). r(t) = 6 cos(t)i + 6 sin(t)j + tk, 0<t< 2n 0 <t< 2n L =

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Q: Let f(x) = r³ – 3.r² + 4. Using the Mean Value Theorem, determine the value of c € (0,3) such that…

A: Given    f(x) = x3-3x2+41. Continuity:     we know that, every polynomial function is continous in…

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

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Q: a) Find the fifth term of the sequence 16 31 46 61 15' 21' 27

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: EVALUATION. Do as indicated. Write TRUE if the statement is true otherwise write FALSE. 1. The given…

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Q: Solve the equation: (2r – xy? – 2y + 3)dx – (x²y + 2x)dy = 0 x4 – 2ry? – 4xy + 6x = c O x* - x²y² –…

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Q: (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezact answer.…

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Q: Find the volume of the solid bounded by the graphs of the given equations.   z = xy,    z = 0,…

A: Given problem:- Find the volume of the solid bounded by the graphs of the given equations.   z = xy,…

Q: Evaluate the line integral dx+ xdy where C is the portion of the graph of y = Inx from (1,0) to…

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Q: 10. xy' + 2y = 6x²/y

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Q: Solve the equation: Зx(ху — 2)dx + (х3 + 2у)dy %3D 0. O x³y – 3x² + y? = c O 3xy – 3x? + y² = c

A: Here is the solution

Q: For each of the following series determine if the series converg for series convergence or…

A: Given

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

Q: Calculate the iterated integral. 36 9. )dy dx + 1

A: Given problem:-

Q: Consider the following. 3D(6,-1,0) v = (-2, 3, 0) u = %3D Find u x v. Determine if uxvis orthogonal…

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Q: Find u · v, u · u, ||v||, (u · v)v, and u · (3v). = (3, 12), v = (-4, 3) (a) u• v (b) u•u (c) ||v||2…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Use the quadratic formula to solve for x. 5x+5x-1=0 (If there is more than one solution, separate…

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Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

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Q: Convert the point with polar coordinates (4, to Cartesian coordinates. Enter exact values. The point…

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