1) State the order of the given ordinary differential equation. Determine whether the equation is linear or nonlinear (A) COS 1-33 (6) c) cos (x) y - 4yy + 5y = 0

Q: 1 · f(t) == t³-a¹t 5

A: f(t)=15t5−a4t

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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A: Given the table below gives the velocity of a runner at half-second intervals during the first three…

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A: To find all values of  such that  simutaneously.

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A: Given Expression is as follows

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A: The given differential equation is

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A: x=tcos⁡(t),y=t−6sin⁡(t),

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A: evaluate the double integral over the given region  R: 0   0

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A:

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A: f(x)=

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A:

Q: The vectors (8,-12, 16) and (8, 12, 5) are orthogonal. Select one: True O False

A:

Q: (a) Suppose that a spherical snowball melts so that its surface area decreases at a constant rate of…

A: Question no. (a):Suppose that a spherical snowball melts so that its surface area decreases at a…

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. :

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

A: Consider the function

Q: 5. (x + 2y + 3) dx + (3x + 9y − 5) dy = 0

A:

Q: If 3x² + 2xy + y² = 2, then the value of dy dx (b) 0 -2 at x = 1 is (c) 2 (d) 4 (e) not defined

A: Given that  then we have to find the value of  at x = 1.

Q: y = x ln x - x y = e ln x

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 5 r…

A: r=5θ,π2≤θ≤2π

Q: If a stone is thrown vertically upward from the surface of the moon with a velocity of 8 m/s, its…

A: Given that a stone is thrown vertically upward from the surface of the moon with a velocity of 8…

Q: Find for the following: (a) xy = cot(xy) dy dx (b) x²y = y

A: To find  for the following: (a) (b)

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A:

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A: x=6t+5,y=18t−2;−∞<t<∞

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: -xs -X sec (3x) +C…

A: Given Indefinite integral as follows

Q: 1a)Using a ruler, draw the xy-plane, and then sketch the graph of arctan(x) onto this plane. As…

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

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A:

Q: 7. f cos xdx

A: The given integral is Cos4x

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A: L=limx→∞xe−x/2

Q: The answers are K=73.333 and L=146.67 Ibs, can you explain to me how to get there?

A:

Q: List the four smallest elements of the set. (Enter your answers as a comma-separated list.) {y|y =…

A: {y|y = x2 − 3, x  integers}

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A:

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A: Consider the series

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Q: Solve the equation. 3q 9-4 - 1 9-3 1 The solution set is 2q² -5q 2 q-7q+12 3 16 ±0 0.0.. (0) {}

A: Given

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) N ? 7 6 a

A: The given graph

Q: Find the first and second derivatives of the following. 1-4√√x+x³ (a) y = (b) y = 3x²e² Y (c) y = x³…

A:

Q: 1+x² What is the slope of the tangent to the curve y-- 2x when x = 3?

A: y=1+x22x

Q: Let 16x-5 1x² +5 Enter the exact value of the one-sided limit lim f(x) 3-2 f(x) = if x ≤ 2 if x > 2

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Q: Verify the following identities: 1. tan y csc y 2. 3. tan x sec x = sec y cos y sin x cot x sec x…

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Q: 2 b. 4y"+²y = 0, y(0) = 2, y'(0) = 0

A:

Q: Solve the following homogeneous differential equations a. y"-4y'+4y= 0 b. 4y"+²y = 0, y(0) = 2,…

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. 7 Insee( arctan…

A: Consider the integral

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: