Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize f(x, y) = x² + y² Constraint: x + 2y - 10 = 0 f( (No Response) ) = (No Response)

Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: topic- Area of shaded region Area of rectangle =Length*width

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: f(x)= x/pi + pi/2+ pi/x + 2/pi Find the derivative

A: Let f(x)= x+a, a is a constant So, f'(x)=1

Q: Given the exponential growth function f(x) = 83(1.0275) What is the initial value of the function?…

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Q: 5. [tan³x sec³x dx

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Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

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Q: (a) Find the averge value of f(x, y) = curves y = 0, y = x², and x = 1. xsin y over the region D…

A: Solution: f(x,y) = xsin(y)

Q: 4. S 1 x²√√x²+4 dx

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Q: ¡ (ew - 3) dw? O ew - 3w+C O - ew + 3W + C O -ew - 3W + C O ew - 3+ C

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Q: If In a = 2, ln b = 3, and ln c = 5, evaluate the following: a² b²c4 (a) In = (b) In √a²b²c4 =

A: To evaluate the given expression.

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: By power Series method, Solve the following ODES • (2+x)y=y ans: y = a. (1+1=1/2 X

A: In this question we have to find the solution of the power series.

Q: Given f(x) = 2x² and g(x) = 4x + 5, evaluate each expression. (a) f(g(0)) (b) r(s()) (c) g(f(0)) (d)…

A: topic- composite functions Note: As per bartleby guidelines, we are supposed to answer only first…

Q: 1 if x > 0 x²-1 if x ≤0 g(x)=x-1

A: Given the function, gx=1x-1if x>0x2-1if x≤0

Q: (a) Find x, y, z and B, where Tox 37 A = 1 -3 y A² = 1; C(4+1)+3B7 = 2A, and I: unit matrix ; 4 o…

A: Please re-state the subpart (b) properly.   To find the values of x, y, z and the matrix B=?

Q: The profit from the supply of a certain commodity is modeled as P(q) = 30 + 50 In(q) thousand…

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Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

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Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these…

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Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

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Q: Find the gradient of the function In(x² − y) – 1, X Vz(2, 3) = Z at the given point. (2, 3)

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Q: The graph below is the function f(x) -5 t los 6 Find lim Find lim -4 Find lim 3 on e Z→-1- I→-1 2 1…

A: topic- limits

Q: the origin 2 2 S (1-10²1) ² dx -1 2

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Q: Simplify to an expression involving a single trigonometric function with no fractions. cos(-x)…

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Q: 8. Calculate the following limits. In z lim → 2²-1 (b) [ 1³-1³ 0 e + cos2-1-2 lim

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Q: Suppose that you have measured the length of the side of a cube as (3.00.005) meters. Give an…

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Q: -y(2x+y) x(x+2y) - y'=-

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Q: 1. DIFFERENTIAL EQUATION (2y³ + 4) dx = (6-2xy²) dy

A: Note :- These are multuple questions and according to our comapny guideline we can do maximum 1…

Q: 3. [x²cos2x dx

A: The given integral, ∫x2cos2x dx Note:    Multiple questions are given, we are answer only one…

Q: y'(x) = 49e²7 -46₂2642 де +2.4e4x + 9.6ne 422 -4 HOW DID HE GET THE VALUE INSIDE THE CIRCLE, CAN YOU…

A: We need to find y'(x).

Q: (-3x)² +1 if x # 4 3x + 13 if x = 4 Calculate the following limits. Enter "DNE" if the limit does…

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Q: Sketch the region of integration and change the order of integration f x I 1 = [²] [~ ² f(x, y) dy…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: 2. Consider finding the root of f(x) = e*(3.2 sin(x) - 0.5 cos(x)) on the interval [3, 4], this time…

A: Concept: Bisection method: To determine the roots of a polynomial problem, utilize the bisection…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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Q: How much must a person save monthly at an interest of 7.3% to buy a $15,000 car in five years?…

A: We have to find the monthly amount to save.

Q: Given f(x) = x² + 7x + 6, find the following. (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e) f(a) (f) f(x…

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Q: Two cars start from rest at a traffic light and accelerate for several minutes. The graph shows…

A: Given :The velocity of the graph of Car A and car B is given in the graph.And we know that the graph…

Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: The graph below is the function f(x) -4 -3 -2 -1 8-1 lim 24-2 4 3 2 1 Determine the following…

A: Solution: As we can see in the graph

Q: Find the general solution of the given second-order differential equation. 9y"+y' = 0 y(x) =

A: General solution of real roots is used.

Q: Consider the following differential equation to be solved by variation of parameters. y" + y =…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = X, (1, 7, 7) 10 5…

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Q: The dose-response curve for x grams of a drug is f(x) = 8(x − 1)³ + 8 for x ≥ 0. (a) Make sign…

A: The solution is given below

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A: Given y''+y=csc(x) Complementary solution: We will solve this equation by variation of parameters…

Q: Use the graph off to find the largest open interval on which f is increasing, and the largest open…

A: On observing curve we will find the interval.

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

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Q: 1 Find the partial derivatives with respect to x for the function f(x,y) f = O O 9y³ x-y 9y3 (x-y)2…

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Q: Given that log a ( 2 ) = m and log a ( 3 ) = n , write exact expressions in terms of m and/or n for…

A: Write expression in terms of m and n for each of the following.