Find the minimum and the maximum of the function f(x, y) = x^2 + xy + y on the set: D = {(x, y): 0 ≤ y ≤x^2, 0≤x≤ 1}

Q: If 1 f(æ) = tanh-Và then f'(x) = 0

A: Concept: The derivative of arctanhx is 11-x2 ddxxn=nxn-1

Q: 1. 2. * Your answer is incorrect. Solve the initial value problem y" - 5y36y = 0, y(0) = a, y'(0) =…

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Q: what is an improper integral?

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Q: 3. Sketch the vector-valued function r(t) = (sin(2πt), t, 3 cos(2πt)), indicating direction.

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Q: For the function f(x) = -3 sin (x- two periods. 3π x - ³7) determine its amplitude and period, and…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: = Solve 2 sin(2t) + 3 cos(t): 0 for all solutions 0 ≤ t < 2π t = Give your answers accurate to at…

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Q: Let t be the number of days since concert tickets went on sale. The daily sales function is 110t 50+…

A: We need to find tickets sold.

Q: Graph the following. 0 0 peacewise function. +£3. 3≤ t < 5 + 25

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Given, y"-4y=8e3t, y(0)=4, y'(0)=0

Q: = The doubling period of a bacterial population is 15 minutes. At time t population was 90000. What…

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Q: Find the following limit. lim cot (4x) 24

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Q: Determine the Domain and Range for the graph below. Write your answers in Interval Notation. -5 -4…

A: The graph of the function is To determine: The domain and the range for the graph.

Q: Unit Find the vector = (-3,₁27, in the direction opposite to V

A: Topic = Vector

Q: 2 Find the actual value of ²1 dx as well as an approximation subintervals. estimation? using the…

A: The given integral is ∫12 1x dx

Q: Find the angle of inclination θ of the tangent plane to the surface 2x2-3y2+z=0 at the point…

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Q: rdan elimination. 2x + y = 12 2x-y+z=-5 (3x - 2y + 4z = -14

A: Given system is of the form Ax=b.

Q: Solve the initial value problem dy/dx = x^2+3+e^2x, y= -1 when x = 0

A: dy/dx = x^2+3+e^2x, y= -1 when x = 0

Q: Evaluate the expression without using a calculator. 10 log 34 10log 34 = ●

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Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: Find the arc length of f(x)=ln|x| over [1,3]. Round answer to two decimal places

A: We will find the required arc length.

Q: Find f'(x). f(x) = (5x +9) 4

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Q: Question Determine an upper bound for the error in estimating √3e² with 4 subintervals. Enter an…

A: Please see the below picture for detailed solution.

Q: **************** A rectangular poster is to contain 800 square centimeters of print. The margins at…

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Q: Let P and Q be polynomials. P(x) 818 Q(x) if the degree of P is (a) less than the degree of Q, and…

A: Given query is to find the limit of the expression.

Q: For these problems, use this formula for compounding interest continuously. Round answer to 2…

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Q: 3. Find a particular solution Y(t) of y" — 2y" — y' + 2y = e²t

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Q: 1. Determine the domain and range of the vector-valued function r(t) = (√t+3, In(2 – t), t²)

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Q: Given f(x, y) = 2xy - x²y. Compute: 8²f dx² 8² f dy²

A: Given data:- fx, y = 2xy4-x2y

Q: Use the graph of g to find the value of each expression. (If an answer y (a) lim_g(x) (C) X-0 (b)…

A: As per our answering guidelines we are allowed to solve only 3 subparts. Kindly repost others. Thank…

Q: Question Determine if the series below converges or diverges by comparing it to a p-series using the…

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Q: 1 L'e ex dx. Let consider a) Apply the composite midpoint rule with m = 4. Compute error by…

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Q: Find the maximum rate of change of f(x,y) = ye¯x + xe¯ at the point (x, y) = (0,0) and the direction…

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Q: Consider the function f(x)=4x2 −48x+3 on the interval [2,10]. Evaluate this function at the…

A: Topic = Functions

Q: F(g) = of 20 ifg≤0, tang if g70,

A: The objective of the question is checking the given function of differentiable at "0".

Q: f(x) = x² - 11x + 30 g(x) = x - 5 (f+g)(x) = (f- g)(x)

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Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 7x2; R(x) = x³ + 11x…

A: We can answer all the three questions in the below steps by finding the marginal cost, marginal…

Q: ow If w = −6x + 2yª, x = 3s +7t, and y = −8s — 6t, find Ət Sorry, that's incorrect. Try again? Əw Ət…

A: NOTE: Refresh your page if you can't see any equations. .

Q: lim 8e +71-8 2e¹+3r-2

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Q: A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped…

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Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

A: We know Area of square =side2Perimeter of square=4side Let side of square = x mLet Area of square =…

Q: Consider the following function. g(x) = 3x³ - 8x Find the first and second derivatives of the…

A: Consider the following function.gx=3x3-8xTo find the first and second derivatives of the function.To…

Q: Prove the identity. tan(x) = sin(2x) 1 + cos(2x) = = = sin(2x) 1 + cos(2x) 2 sin(x). 20 1 + (2…

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Q: Given the function f(x) = 6x² - 3x + 1. Calculate the following values: f(-2) = f(-1) = f(0) = -…

A: The function is given by fx = 6x2-3x+1       To evaluate: The values of f-2, f-1, f0, f1, and f2

Q: ************** An airplane flying at an altitude of 5 kilometers passes directly over a radar…

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Q: Find p(-2) for p(x) = x²³ - 6x² + 3x + 4 P(-2) =

A: Put the value of x=-2

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate…

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Q: Working in radians, find an estimate of the solution of the differential equation dy = 2y cot (x) +…

A: Given differential equation: dydx=2y cot x +ex sin2x To find the estimate of its solution at point…

Q: Find the first and second derivatives of the given function. f(x) = -0.7x² + 0.9x + 3 f'(x) || f"(x)…

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Q: Divide using long division. State the quotient q(x) and the remainder r(x) 24x to the fourth + 21x…

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Q: $7000 is deposited in an account earning 8% interest compounded continuously. Use the continuous…

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