f(t) = t.e-8t + 4 t.e-3.cos(2t) + (t².e-2t) ,t>0

Q: Solve the equation: (x² – xy + y² )dx – xydy = 0. %3D O (v - x) el:) = (v - x) e(G) = c O (v - x) =…

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Q: dB Bln's

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Q: Solve the initial value problem 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. x² = y – In[y + 1] +…

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Q: 3. Find the derivative of y = sin² 3x two different ways, a. Use the product rule. b. Use a power…

A: Here is the solution:

Q: region bounded by f(x) = 3- X, y = 0, and x = 1 is shown. /hat is the volume of the solid formed by…

A: Follow next step

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Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 Ex + 3y +z = 8 Find the normal vector, n,,…

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A: Here we have to determine whether the given function is continuous or not.

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Q: nsider the Integral I when answering the following questions. g(x) dx

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

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) = (x² -…

A: Equation of tangent line of a function f(x) at (a,b) is given by, y-b= f'(a)(x-a)

Q: List the first 5 terms of the sequence. 32 + 3n3 22 1 (а) ап — 3n3 n2 + 3n3 4 (b) (-2)n+1 + 3n 3n3…

A: a)an=13n3+223n3+323n3+......+n23n3b)4-2n+1+3nn=1∞

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A: Explanation of the answer is as follows

Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

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

Q: 1) Sketch the curve. a) r=-2 sin 0 Show All Work

A: Given

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

A: Given: ∑n=3∞ n+1n3 =0.47199 To evaluate: ∑n=5∞ n+1n3

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Q: Evaluate the integral. In(x) dx, y > 0

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Q: Find the diameter of the circle 4x? + 4y² + 24y – 4x – 35 = 0. B. 6V2 C. 3V6 A. 6V3 D. 3/2 E. None…

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Q: Identify the inside function, u = g(x), and the outside function, y = y = (x2 – 6x + 9)2 u = g(x) y…

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: What is the area of the region bounded above by y = 2x and below by y = X on the interval [0, 3]? 8…

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Q: e2x :dx /1– ex

A: Given:        ∫e2x1-exdx  substitute u=1-ex→dudx=-ex→dx=-exdu  use e2x=1-u2      =∫u-1udu Expand:…

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A: an=nqen limn→∞an=limn→∞nqen = 0 [when x tends to infinite ax>xa (where a is positive constant)]…

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Q: sequential convergence Lim 3-8n h-oo n+2

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Q: 4x? ds where Cis the portion of the curve y y° 1 =- from Evaluate the line integral (1,1) to (2,4).

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: 6) (7 tarr-3/2 x secdx dx

A: Here we have to solve the given integration.

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A: Let's find.

Q: Step 2 6i If x = -2, then each x = -2 + jAx = -2 + 6i Step 3 Using (1 + 3x) dx = lim (1 + 3x,) Ax,…

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Q: Solve the equation: xydx + (x² + y²)dy = 0 O y²(2x² + y²) = c O 2y(2r² + y²) = c

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D %3D v (0, 6) %3D b =

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

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Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

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Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

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A: We need to integrate given function.

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: Verify that the two planes are parallel. -x + 6y + 2z = 4 -*+ 3y + z = 5 Find the normal vector, n,,…

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

A: This question can be solved using the concept of equation of line passing through two given points.

Q: Sketch the region R of integration and switch the order of integration. f(x, y) dy dx y Show ,…

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