Find the absolute extrema of the function f(x,y) = xy - x - 3y on the triangular region with vertices (0,0), (0,4), and (5,0).

Q: A geometry teacher wants to draw a rectangle inscribed in the ellipse x? + 4y² = 16. What is the are...

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Q: 17 in 25 in 37 in

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Q: (3) Let a, b, c € R and a # 0. Find the radius and interval of convergence of the following power se...

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Q: xys = 1 at (1, –1). Find the slope of the tangent to the curve dy dx \(1,–1)

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Q: If a given function is an even function, then prove that f(x)dx = 2 f, f(x. Graphically support your...

A: Topic:-  application of integration

Q: Find the sum of the convergent series. 16 Σ n(n + 2) n = 1

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-3,...

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Q: Problem 2: Show that (n + 23)³ is O(n³)

A: f(n)∈O(g(n)) iff ∃ scalars C,n0 such that f(n)≤Cg(n) ∀n≥n0

Q: Given the function f (x) =V=² +1, z € [0,1] (a) Enter f' (x) x*(x^2+1)^(-1/2) (b) Enter the inverse ...

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Q: Considev the differential egn tem The companent respet to of its ganenal solutionn in given By? para...

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Q: A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base i...

A: This question can be solved using the concept of maxima and minima.

Q: 5. (а) (—4, 4) (b) (3, 3/3) 6. (а) (/3, -1) (b) (-6, 0)

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Q: dy Find in terms of x and y if x In y + yo = 4 ln x. dx

A: Solution is written in below steps.

Q: Find the derivative of the function j(x), below. Assume that c and d are constants. j(x) = In(e" + d...

A: answer of given question is in step 2

Q: A. Use the tabular method to evaluate the following imits. 1. Lim log2 (2x + 1) x-3/2 2. Lim 42x+ 1 ...

A: Note: As per our company guidelines we are supposed to answer the first three subparts of the questi...

Q: Find the vector component of v = (4, – 1, 7) along b = (2, 3, –6) and the vector component of v orth...

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Q: *39. A piece of aluminium strip of length e m is used to make a window frame as shown in the figure....

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Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

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Q: 53. 3x2 dx

A: Topic:- integration

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A: Explanation of the answer is as follows

Q: The product of two positive numbers is 363. Minimize the sum of the first and three times the second...

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Q: Solve the following initial-value problems starting from yo = 6 . dy 5y dt A. y = At what time does ...

A: This is a problem of differential equation. Based on the general method and initial value we will so...

Q: Suppose that f is differentiable on R and f'(x) = e*-4x+3 – 1 for all x E R. Determine all intervals...

A: Find your answer below 

Q: u=(+4,-9) and V=(3,-2) 0 Find the dot product of = %3D

A: Given: Vectors: u=(-4,-9)v=(3,-2)

Q: Obtain 6. S y' = e+ %3D

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Q: Find the derivative of the trigonometric function. y = 4 sin(3nx)

A: The given function is: y=4sin3πx   We know that; The Power law: ddxxn=nxn-1 The chain rule: fgx'=f'g...

Q: y = kx?.

A: answer of given question is in next step

Q: 10. A Norman window is constructed by adjoining a semicircle on the top of an ordinary rectangular w...

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Q: Please provide the name of each property that I have circled. Please provide the exact name.

A: To name the integral properties.∫-aafxdx=∫-a0fxdx+∫0afxdx∫-a0fxdx=∫0af-xdx

Q: (3, -5, -2), (a) parametric equations (Enter your answers as a comma-separated list.) x= 3 – 17ty = ...

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Q: Given that v = and w =. Find

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Q: Coider g(s) = १3 + (2x +2" Calculate g(x) : 5 3 3 A) + 6(2r - 1)* B) 3(2r-1)" C) 3V 3(2r- 1)*

A: Find your answer below 

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

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Q: Find the zeroes of the functions algebraically. x2- 14x+ 48 f(x)= 7x x = 8, x = 6, x= x= x =-8, x = ...

A: Explanation of the answer is as follows

Q: An oceanographer took readings of the water temperatures C (in degrees Celsius) at several depths d ...

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Q: Substitution (SW Evaluate the integral dx. (2x- 5) In (2x- 5) 2. J dx = (2x- 5) In (2x- 5) 0

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Q: 6 FW = (cos()" The coefficient of Sin(X) in the antiderivative of is Blank 1 (use fraction form not ...

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Q: 3. Compute the integral /// y dV, where U is the part of the ball of radius 3, centered at (0,0,0), ...

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Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of...

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Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

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Q: Solve the differential equation. dy = Sy2 dx Sin x+C O y = - 8ln x + C O =- Sln x +C O y = 24ln x + ...

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Q: Is there a difference between substituting values of a variable and the limit of a function? From wh...

A: In this question we have to give differences between limit and value putting.

Q: Use substitution to find the indefinite integral. ((8+3 In x² xp- Describe the most appropriate subs...

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +...

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Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: follow the procedure given below.

Q: Let f(x) = 3 cos(x) sin¬(x). Find f' (x). f'(x) =

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Q: Absolute maximum value on (0, ) for 8. 12 f(x) = 20 – 3x -

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Q: How does mL=(M+m)D simplify to m=M (D/L - D)?

A: We your algebraic properties to simplify the given expression for m.

Q: Consider the coordinate vectors (w]s -3 , (als 0,(Bs %3D 4. (a) Find w if S is the basis in {(3, 1,-...

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