- 3– Gear 2 Gear 1 Axle 2 Gear 4 Axle 1 Gear 3 'Axle 3 Axle 1: y revolutions per minute Axle 2: u revolutions per minute Axle 3: x revolutions per minute

Q: Show that the value of Vx + 8 dx lies between 2V2 - 2.8 and 3.

A: According to the question, we have to prove that the value of integral ∫01x+8 dx lies between 2.8 an...

Q: Please show your work!

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Q: Find the general equation of the parabola of: Vertex(-1,-2), Directrix y=1. Find the general formula...

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Q: Determine whether the given statement "Some irrational numbers are not complex numbers", is true or ...

A: Given: Statement: "Some irrational numbers are not complex numbers". To determine: Given statement i...

Q: Please show your work!

A: Given:y=1+4x3

Q: Can you please solve question 2 and 3 with LHospital's Rule?

A: limx->01+3x-cosxtanx When we plug in 0 for x then we get limx->01+3x-cosxtanx1+3(0)-cos(0)tan(...

Q: Calculus Question

A: The function f(x)=x-1      if 0≤x<412x2-5    if x≥4, we have to find the continuity and different...

Q: 10. Let F(x, y) = 1 + v4 – y². (a) Evaluate F(3, 1). (b) Find and sketch the domain of F. (c) Find t...

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Q: 13. A psychologist contends that the number of facts of a certain type that are remembered after t h...

A: Consider the given: ft=89t99t−89Find the rate of change:f't=d89t99t−89dtf't=89dt99t−89dtf't=8999t−89...

Q: 31. Use the identity x + y y sin x + sin y = 2 sin cos 2 to prove that sin(h/2) cos h sin(a + h) – s...

A: Given information: sinx+siny=2sinx+y2cosx-y2 To prove: 1: sina+h-sina=hsinh/2h/2cosa+h2

Q: At a price of x dollars, the supply function for a music player is q = 95e.005", where q is in thous...

A: Supply function is, q=95e0.005x Put x=225 in supply function, we get q=95e0.005225=292.6206≈293 Ther...

Q: If f(x) = x2 + 3x + 2, find  f(x + h) - f(x)/h, h ≠ 0, and simplify.

A: Consider the given function fx=x2+3x+2

Q: Find the marginal profit function if cost and revenue are given by C(x) = 294 + 0.4x and R(x) = 3x -...

A:            Here C(x)=294+0.4x  and R(x)=3x-0.01x2We have to find the marginal profit function P'(x)i...

Q: If xy^2 = 4 and dx/dt = -5, then what is dy/dt when x = 4 and y = 1? Show all work

A: To find dydt, when x =4 and y =1. Given information: xy2=4 and dxdt=-5 Formula used: 1.)  ddvvn=nvn-...

Q: help on homework question 3

A:

Q: Is f(x)=x2 - 11 is an example of a non-linear one to one function? Find its Domain and Range if it n...

A: f(x) = x2  - 11 It is quadratic function.

Q: How do I do number 9?

A: Given: The graph of f'x is given below: f3=5

Q: 10. Suppose that f(x) and g(x) are differentiable functions such that f(7) = 5, f '(7) = 6, g(7) = 9...

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Q: SYSTEMS OF NONLINEAR EQUATIONS. Solve for the solutions of these systems.

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Q: Please show your work!

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

Q: Principal unit normal vector for a helix Find the principal unit normalvector for the helix r(t) = ⟨...

A: We have to find principal unit normal vector for the helix  r(t)=<acost, asint,bt> for -∞<t...

Q: Is f(x)=x3 - 2 is an example of a non-linear one to one function? Find its Domain and Range if it no...

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Q: Can you please solve question 5?

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Q: Simplify exponential expression. (-5x4y)(-6x7y11)

A: Consider the given expression -5x4y-6x7y11

Q: Find u * v and v * u if u = 2i + j + k and v = -4i + 3j + k.

A: Consider the following vectors: u→=2i^+j^+k^v→=-4i^+3j^+k^ u→×v→=i^j^k^211-431=i^1×1-1×3-j^2×1-1×-4+...

Q: help on homework question 4

A: 4.(a) The objective is to find the value of ∫-11edx

Q: A power law model relating the kidney mass K in mammals (in kilo- grams) to the body mass m (in kilo...

A:

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only. ...

A: First, simplify the given expression:  

Q: The graph of a function that models exponential growth is shown. Find the initial population and the...

A: From the given graph we can see that when x = 0, P = 100. Therefore initial population is 100.

Q: Sketch the region whose area is given by the definite integral. Then use a geometric formula to eval...

A: ∫055-x-5 dx The area of the region is,

Q: The instantaneous slope of f (x) when f(x) is rational 10 (-6,3) 1.0 1,0 F10 -3 f(x) = x+5 compute t...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Find the directrix of the parabola r = 25/(10 + 10 cos θ)

A: The parabola r=2510+10cosθ, we have to find the directrix of this given parabola.

Q: Differentiate. y= tsint/1+t

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Q: Match the differential equation y′ − 2xy = x with its solution as attached.

A: Given: y'-2xy=x for solving this we will use variable separable method we know that y'=dydx

Q: Instructions: Graph the conic section and make sure to label the coordinates in the graph. Include a...

A: Given: The vertices are at (-2, 0) and (2, 0). The conjugate axis's length is 6. The two vertices ha...

Q: Find the average value have of the function h on the given interval. h(u) = (6 – 2u)-1, (-1, 1] have

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Q: Determine whether the relation is a function. Give the domain and range for the relation : {(10, 4),...

A: Given: The relation {(10, 4), (-2, 4), (-1, 1), (5, 6)} To determine: Whether the relation is a func...

Q: A tank is is half full of oil that has a density of 900 kg/m³. Find the work W required to pump the ...

A:

Q: show how to sketch as well please

A: Part (a) The region enclosing the circles x2+y2=4 and x2+y2=9 is shown below. Express the variables...

Q: Derivatives of logarithmic functions Calculate the derivative of the following functions. In some ca...

A: y=log2log2x On simplification, we get y=lnlog2xln2     ∵logbx=lnxlnb

Q: Solve the Attachment

A: The characteristic equation of the coefficient matrix A of the system x'=Ax is:x'=20-8-3-18-100-9-3-...

Q: Only need part b

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Q: Suppose $17,000 is invested in an account with an APR of 4.9%. If the interest is compounded annua...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: 3. Factor out the GFC and simplify; then d 3x + 2 - 5x2 2 -Sx² 2x2 - 3x - 1

A:

Q: C. Write in logarithmic form:   e 1/5 = 1.22   16 -3/4 =  1/8

A: Given: (a) e15=1.22(b)  16-34=1.8

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.