Calculate the following derivative if h(w) = √wew. (Use symbolic notation and fractions where needed.) h(²) (1) || =

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A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution:

Q: 12. A company has agreed to pay $4.2 million in 6 years to settle a lawsuit. How much must it invest…

A: Solution: Due Amount in 6 years Fv=$ 4.2 million annual rate =6%

Q: 3 Consider the linear system system x +2y = 10 3x + = 30 i) Determine >lat value of t, so that the…

A: Given a system of equations.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (√25x² 25x² + x - 5x -…

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Q: 2 Find az/ax if the equation yz - Inz = x + y

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A: The given function is  F(y)=2/(y-3).

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A: We have to find the McLaurin Series for the given function.

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 5.² 11 |ti + t²j||dt 0 = =

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: y" - y'-12y=6sin (2x)

A: Given problem:- Solve y'' -y' -12y= 6sin(2x)

Q: Consider the following function. 13 f(x) = - In x 13 (a) Find the critical numbers of f. (Enter your…

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Q: 10) The marginal profit from producing x widgets is given by P'(x) = 72,600e-0.12x. Suppose it were…

A: Given query is to find the total profit.

Q: 2) Find the area of the function f(x)=x² +4 for x=-1 tox=4.

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Q: Find the solution to the following differential equations 1. ((D^3 +D)^2) y = 0 2. (D^2 - D - 2)…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

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A: Given problem:-

Q: 4. sinx 1-sin² x dx

A: integration

Q: Consider the region R from the figure shown ,it includes the curves: R B) -√2 The double integrals…

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Q: Theorem (Two-Path Test). Let f be a function defined by z = =f(x, y). If f has different. limits as…

A: limx, y→0, 0x2yx2+y2

Q: A company has fixed costs of $5,000. Producing 300 items incurrs a total cost of $26,000. (a) Find…

A: Use derivative and average formula for cost ,for evaluating it.

Q: y" + 6y' + 5y = 10sin (2x) A..! Inne(7)

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Q: 2) Find the relative maximum or minimum value of f(x, y) = 3x² + 2xy + 10y² - 54x - 308y

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Q: 1 sin(x) and cot(x) = is a constant number. Recall that csc(x) = 3 cot(x) The ratio dx csc² (x) (Use…

A: Explanation of the answer is as follows

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Q: Solve the following equations: a) y√(1-x²)dy + x√√(1- y²)dx=0 dy x(2 ln x+2) b) = dx sin y+y cos y…

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Q: Find the horizontal and vertical asymptotes of the curve. 6x²+x- - 9 у x² + x - 56 X = (smaller…

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Q: Use the divergence theorem to calculate the surface integral F · dS;that is, calculate the flux of F…

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Q: tion decomposition...

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Q: Evaluating a Definite Integral In Exercises 37-42, use the Fundamental Theorem of Calculus to…

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Q: Finding the Volume of a Solid In Exercises 23-25, use the disk method to find the volume of the…

A: We have to find the volume by disk method.

Q: 9 Determine the domain and range of (gof)(x) if f(x)=x²_9 and g(x) = x + 3. OD: (x E R) and R: (-∞,…

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Q: Find the Taylor series for  f(x)  centered at the given value of a. [Assume that f has a power…

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Q: b Prove that: f(x) dx = F(x) =F(b)-F(a)

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Q: Evaluate the definite integral. 15t L² (elst i + e i+e¹j+t k dt 1 k)di

A: Here we have to use the concept of definite integral.

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Q: Write the given (total) area as an integral. • The area above the x − axis and below y = 4 − x²

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Q: Find the first four non-zero terms of the Maclaurin series for f(x) = sin(x²) cos(x²).

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: QUESTION 2 A factory has three assembly lines, with the first line producing 10% of the product, the…

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Q: 3. To the right is a plot of the line of equality and the Lorenz curve for Poland in the year 2018.…

A: We need to set up integral. NOTE - As per Bartleby's guidelines we can solve one question from…

Q: lim x → ∞0 5x²-x + 1 2x² + 5x - 4

A: