Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive. Minimize f(x, y) = x² - 10x + y² - 14y + 28 Constraint: x + y = 6 f(

Q: Find the indefinite integral. (1+3 Inx)11 X -dx

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Q: 1) Solve the following ODES by Undetermined Coeff. ● 4X 11 X y - 16 y = 19.2 € + 60e, y(a) = y() -4X…

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

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Q: Vf(1, 3) =

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Q: Which of the following graphs is the correct plot of y = 3 sin(x)? -4 3 2 1 -2 -5+ 5+ 1 2 3 4 O 6 3…

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: For So √ 1² dt. use a change of variables to evaluate the definite integral. √5+t²

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Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

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Q: Select the correct answer. y = 6x4 - 8x² + 5x 4 y = 5x² - 6x² + 8x + 3 y = 6x²³ - 8x² +5 Oy=x²-8x²³…

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Q: 4.7 Show that does not exist. lim (x-2)(y-1) (x, y) → (2, 1)(x - 2)² + (y − 1)² -

A: In this question we have to show that limit does not exist.

Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 40 and P =…

A: Given that    Three positive numbers x,y and z                The sum of these numbers is 40.…

Q: Write an equation for the function f(x) shown. The leading coefficient is 1.  Asymptotes: y=-1 x=…

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Q: cook Use the power series f(x) = In (1-x) = - Σ for -15 x <1, to find the power series…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In√√x² + y2, (3,…

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Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

Q: Evaluate the line integral y = x² from (-1, 1) to (1, 1) and the line segment from (1, 1) to (−1,…

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Q: f(x)=ax^3+bx find the derivative

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Q: Given the diagram of the bounded area, The limits of integration Choose Area in square units is X is…

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Q: 2 Solve the following ODES by 1.2 • ý -2y +y = e sinx Inverse Operator method X X Anse y=cie +…

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Q: Solve the given differential equation by undetermined coefficients. y" - y² + ²y = 2 + ex/2 y(x) =

A: The characteristic equation is            m2-m+14=0⇒4m2-4m+1=0⇒m=--4±02· 4⇒m=12,12 Now, the general…

Q: Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: This question can be solved using the concept of differential equation.

Q: Write the given differential equation in the form L(y)- 90x), where L is a linear 4y"-15y4ys…

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Q: If r(x) = -cos (x + 9) +7, determine the antiderivative of r(x). (Do not include the constant C'in…

A: In this question, we want to find the antiderivative of the given function r(x).

Q: 5. 6. Je*cos2x dx dx 3 (x+2)4 -(x + 2)2 S-

A: I have stated the used formulas in the solution

Q: b y' = 2 + ₁e-ax a

A: details steps are given in step 2

Q: Find the centroid (x, y) of the triangle with vertices at (0, 0), (10, 0), and (0, 2). 18 15 X=

A: Consider a triangle with vertices at (0,0),(10,0) and (0,2)

Q: Find the gradient of the function at the given point. Function g(x, y) = ye-* Vg(0,4)= Point (0,4)…

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Q: -4 -2 (a) x=¹t+3, y = 2² VX (b)x=²2t, y = √t 11 (c) x = ²³ - 2t, y = 2² - t ✓X III (d) x = cos(5t),…

A: Please see the below picture for detailed solution.

Q: At which of the following x-values does the function shown below have negative slope? Select all…

A: Given: From the above figure, we need to find x-values where the function has a negative slope. We…

Q: Use the functions below to find the given value. f(x) = x - 2 g(x) = x² | = (1)(₁_ 6+ z_ d)

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Q: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: For the function f(x,y,z) = x rr fy 11 he e = 11 f₂ = N fyz 10 8z+1 -9 8z+1 (9y-10x)8 (8z+1)² 11 72…

A: The given function is;  f(x,y,z)=(10x-9y) /(8z+1).

Q: What is 6x² dx?

A: We will solve it

Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y + 2y =

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Q: Find the general solution of the given higher-order differential equation. d'u 분 700분 - 20분 +7. dr5…

A: The given differential equation, d5udr5+7d4udr4-2d3udr3-14d2udr2+dudr+7u=0

Q: Find f(x+h)-f(x)/h for the given function . f(x)=x2+8x

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Q: Let f(x) = x²7x + 10 4x6 Find the following. If an aspect of the graph does not exist, write DNE 1)…

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Q: Find all values of x and y such that Px(x,y) = 0 and Py(x,y) = 0 simultaneously. P(x,y) = 5x²2 -…

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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: Explain why x ≤- 2, 0 ≤ x ≤ 5 could not be the solution to (x-5)(x+2) ≤ 0.

A: This question is based on solution of inequality.

Q: el For the function z = f(x,y) = - 4x³ -6y² - 7xy, find t V ne ON dz dx dz 3x forr || f(-5,4)=…

A: The given function is: z=fx,y=-4x3-6y2-7xy   As we know that; The Power Law: ddxxn=nxn-1

Q: 2 Solve the following ODES by Inverse Operator method. (D²³+1) y = 3+²+52x Ans: y = c₁e²+ ¹² (C₂…

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Q: h(x) = { 3-2 -2 if x≤-1 Cx² + 4x if x>-1

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Q: Use the binomial series (x + 1)k = 1+ kx + for x < 1 to approximate (² Xx k(k − 1) 2! X- + k(k −…

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Q: (a) Determine whether the series (b) Determine whether the series ∞ n=1 ∞ n=1 n+1 n³ +3 is…

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Q: (√x² + y² − ²) dx + ( = √x² + y² − 1) d d; = 0 dy dr 2x = (3y + x).

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Q: 9) 1 What value(s) of x makes + ed 0.91/14 4|33|4 b. 0, X x+4 = 2 true? C. d. 2√√3 3 3

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Q: y(2xy +1) dx + x (1 +2xy - x³y³) dy = 0

A: See this solution in below

Q: Hello! Can someone help me solve both A and B. Thank you! Please show all work, as i keep getting…

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