5х + 8y - 623D 14 Зх + 4y — 2z 3D 8 х+ 2у — 2z %3D 3

Q: Find an explicit particular solution of the following initial value problem. dy =2 e dx 3x- 4y, y(0)...

A: The given differential equation is, The given initial condition is y(0) = 0. Solve the given differ...

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Q: Use series to evaluate the limits

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Q: Let {an} be a monotonic sequence such that an ≤ 1. Discuss the convergence of {an}. When {an} conver...

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Q: Explain the properties of a nonhomogeneous system?

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Q: Suppose that a liquid carries a drug with concentration 0.1 g/cc into a 400-cc organ at a rate of 5 ...

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Q: Find the particular solution to the differential equation. 4y2 dx = 3x2 dy    when x = 4, y = −1

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Q: Add: x /(x - 3) + (x - 1) / (x + 3).

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Q: Suppose that the growth of a certain population of bacteria satisfies dy/dt=ky where y is the number...

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Q: 2. Prove: If ax? + bx + c factors nicely (i.e. the roots are fractions without square roots involved...

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Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 8

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Q: 4. Cost, revenue, and profit are in dollars and x is the number of units.A firm knows that its margi...

A: The optimal level of output for a firm having its marginal cost function (MC) and marginal revenue (...

Q: discontinuities of f(x) = =*+¬12 z-3

A: Given:

Q: In terms of limits, what does it mean for ƒ to grow faster than g as x→ ∞?

A: Suppose we need to find out limits  And f(x) grows faster than g(x), Then denominator gets much lar...

Q: Use words to describe the formula for, "the cosine of double an angle. (Describe one of the three fo...

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Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges

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Q: Write ∞ or -∞ where appropriate.

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Q: Using gradient rules Use the gradient rules of Exercise 85 to find the gradient of the following fun...

A: To find the gradient of,  ƒ(x, y) = ln (1 + x2 + y2)

Q: 11. dc/dy =0.2 − e−2y  (in billions of dollars) and that consumption is $5.6 billion when disposable...

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Q: Evaluate the sums

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Q: Let an be a convergent series and b, be a n=1 sequence such that 0<2+an < bn. Which of the following...

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Q: 9. If consumption is $7.7 billion when income is $1 billion and if the marginal propensity to consum...

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Q: A lithotriper is used to disentergrate kidney stones. The patient is placed within an elliptical dev...

A: Given Data The length major axis of ellipse is a=40 cm. The length minor axis of ellipse is b=20 cm....

Q: Fill in the blank/s: The change-of-base property for logarithms allows us to write logarithms with b...

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Q: Find the acute angle between 3x - 2y + 7 = 0 and 2y + 4x - 3 = 0 (to nearest degree).

A: Given that: The equation, 3x - 2y + 7 = 0 2y + 4x - 3 = 0 To find the acute angle between 3x - 2y + ...

Q: Evaluate the six trigonometric functions of the angle θ.

A: Since, you have post multiple parts. We are answering first one. Please post again for remaining par...

Q: Solve the equation cos 2x - sin x = 1 on the interval [0, 2π). Use exact values where possible or gi...

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Q: dy Determine dx in terms of x and y for the equation x + xy2 – y = 3.

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Q: . If f(x) = x + x +1 and g(x) = x - 3, find the following. (a) f+g (b) f - g (c) fog (d) g°f (e) f(g...

A: Since you have posted multiple sub parts, as per our policy we will answer first three sub parts. Pl...

Q: Find the general solution to the given differential equation. (Use C for the constant of integration...

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Q: Find or evaluate the integral

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Q: Find the derivative of the function. f(x) = x2(x − 2)7

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Q: Evaluate the limit using L’Hôpital’s Rule

A: We use the L’Hôpital’s Rule to find the limit  

Q: A lighthouse sits 1 km offshore, and its beam of light rotates counterclockwise at the constant rate...

A: Consider the diagram of a given situation:  

Q: Find first partial derivatives of each function. 1. F(x,y) = u cos (x² + y²)

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Q: Sketch a graph of this function, and use the sketch to determine that values of a for which lim x (a...

A: The given function is:

Q: Sketch the graph of a function ƒ that has a local minimum value ata point c where ƒ'(c) is undefined...

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Q: Show that the function z = arctan y/x satisfies Laplace’s equation                           ∂2z/ ∂x...

A: Consider the following equation:

Q: What is the name of the surface defined by the equation y? x? + + 2z? = 1?

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Q: please i need help in these two sections

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Q: solve the differential equation dy + x(2y - ex-x2) dx = 0

A: We have given the differential equation; dy + x(2y - ex-x2) dx = 0