A rectangle has a perimeter of 120 meters. What dimensions yield a maximum area? Let the domain of the function be [10, 60].

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Q: Exercise 10. Let g(z) Then there exists an analytic function Ø(z) with Ø(0) + 0 such that: z³…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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Q: 1. ƒ(x)=x²- = x² - secx 2. w = ex²-x² + 4x 3. h(z)=In(2z)sin(2z) 3x² 4. y= √x² +1 5. y³ + 2xy = 3

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Q: For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4 <a

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Q: 8. Find the area in the first quadrant bounded by x = 0 using the most y=x², y = 2-x and appropriate…

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Q: negative sign. 4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 2. by=sin…

A: According to the guidelines, we are answering first three subparts. Please repost the remaining.…

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A: Given problem:- A child enters a carousel that takes one minute to revolve once around. The child…

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Q: àtics II, e the caraid Q3) By using the polar find region enclosed by y = x² and y = 1 Find the

A: Let's find region enclosed by curve and given line.

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Q: Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on…

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Q: H.W find the first four terms of the binomial series for the functions:- 1-(1-x)-¹/2 2-(1+)-²…

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Q: 15.) X (2x+5) 2 dx

A: Indefinite integral

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A: According to the guidelines if we get more then one question then we have to solve only first…

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Q: H.W Find the taylor series of the following functions for the given points:- 5- f(x)= a=0 x+2

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Q: Consider the right triangle shown below where a = 7.02, b = 11.18, and c = 13.2. Note that and are…

A: Given, a=7.02,b=11.18c=13.2

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Q: Find the Fourier transform of (x) 3x iPxK1 O if|x1>1

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² +5t + 32) sin(t)dt

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Q: Problem: A 5 meter high conical tank has a radius of 2 meters, and is filled with a liquid (800…

A: Let's find work.

Q: NEED ASAP A business sells 2000 units of a product per month at a price of Php500 each. It can sell…

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Q: b) Find the area between the 2 curves f(x) = x² + 4- 4x and x-axes and border with the two lines = 5…

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Q: The illustration below shows the graph of y as a function of x. Determine the kind of function…

A: Explanation of the answer is as follows

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Q: Evaluate the double integral that will find the volume of a solid inside the paraboloid z = 1 - y² -…

A: Given function z=1-y²/4 -x² And xy plane  Volume V=∬zdydxV=∬1-14y2-x2dydxGIven z=1-1/4y2-x2 and…

Q: (B) let y = 3sin5x - 2cos5x show that ax y + 25y = 0

A: Given :y=3sin5x-2cos5x

Q: H.W: Evaluate the integral 30 1. [[(x²y = 2xy)dydx 0 (2x- - y)dydx 2m [[(sinx+cosy)dxdy 3. 5. 2. (x…

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: -TL 4.) x² sin(xy) dydx

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Q: Find the first derivative j 27 (x+2)³(2x+7y)² (y is a constant)

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Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, r3³-4x = 1…

A: The given equation is x3-4x=1, (-1,0).

Q: A student is given four different trigonometric expressions 1 I secx cosx 9 II cot²x-csc² x III…

A: Let's simplify given trigonometric function and then evaluate for ranking.

Q: find the given differential solution, using homogeneous equations with constant coefficients.…

A: Given:y''+2y'-3y=0

Q: 10-13. Limit definition of the definite integral Use the limit defini- tion of the definite integral…

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Q: 49 - x² Evaluate the integral: dx 8x² (A) Which trig substitution is correct for this integral? x =…

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Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: To find: The amplitude, midline and period from the graph and further write the function. Formula…

Q: 4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 27. a y=sin x by=sin 2x…

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Q: ntegral sydx 2. ] [ -1-1 (x + y + 1)dxdy

A: As per our norms we have to write one question at a time kindly repost remaining questions

Q: First find the equation of a plane through the point (4, 2, 1) with normal vector = 3i - 2j+ 4k.…

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Q: Use linear approximation to approximate the value of 65 without the need for a calculator.

A: This question can be solved using the concept of linear approximation.

Q: B. Solve the following integrals. 1.) ²(x + 1)dydx

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Q: find the given general differential solution, using homogeneous equations with constant…

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