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 = 12 |): =

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A: We need to find x(t)

Q: Find the inverse LaPlace transform F(s) = 5s +3 (s-1) (s²+2s+5)

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Q: (2) Scass sydj 3) $ ( x 2 = 10) 2 3 2 १) (क olx dx

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Q: Find an equation of the tangent plane to the surface at the given point. - 2xy + y², (3, 5, 4) eBook…

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Q: f(x) = In (x) + In (25-x²), (0,5)

A: 1st derivative test

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Q: A ball sits on the point (1,1) and touches the f(x,y)=5-(x^2+y^2). In which direction graph of will…

A: Here is the solution of the given problem.

Q: Find the length of the curve r(t) = (cos(3t), sin(3t), 4t) for -6 ≤ t ≤ 5 Give your answer to two…

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Q: Solve the given initial-value problem. y(x) = 4y" - 4y' 3y = 0, y(0) = 1, y'(0) = 3

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Q: DUE NOW! Answer only. Thanks Determine whether the statement is true or false. If  f and g are…

A: Given : f(x) and g(x) are discontinuous at x = c then we want to find out that f(x) + g(x) is…

Q: Let f(x) = x^2 + 3x^2 + 9. a) Find all critical numbers of f(x). b) Find the Absolute Extrema…

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

Q: roo dx X² O

A: We will find the given integral.

Q: Find the first partial derivatives of the function. aw ди aw Əv 11 - - W = er u + v8

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Q: Question Find dy and evaluate when x = -1 and dx = 0.1 for the function y = 7x² + 5x + 4. Provide…

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Q: Is the inverse equation a function

A: The inverse equation or an anti equation is also a function.   A function is invertible if and only…

Q: Evaluate Integrals 1 √ ₁ (2 + √5) √5 dy

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Q: Find the first four nonzero terms in a power series expansion of the solution to the given initial…

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Q: 9 -25 -49 + 8 = 2*+* 3X 2X - 2X Ans: y = c + czxe + cze L 25 -3X e + x + x + ½

A: See this solution in below

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

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Q: Problem 1.5 Use the following graph of y = f(x) to graph each function g. (a) g(x) = f(x) – 1 (b)…

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Q: Find the exact length of the polar curve = 2 over the interv < T. Show your work. (No approximation…

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Q: 11. Solve the problem with given initial value. 9y’’-12y’+4y=0, y(0)=2, y’(0)=-1 theme: repeated…

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Q: find the limit lim appoaches 0 (2e-3xsecpix)

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Q: 19. A rectangular storage container is to have a volume of 44 m³ and has a lid. The length of its…

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

Q: 1. 2. Use the law of sines and/or law of cosines to solve the following triangle. SHOW ALL WORK! If…

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: □ Solve the following ODES by Undetermined Coeff. ● 4X y - 16 y = 19.2 e + 60 e ₂ y(a) = Y(u) = 4X…

A: To find out the solution using undetermined coefficients.

Q: Find the following derivatives. Express your answer in terms of the independent variables. 2x - 2z…

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Q: Use properties of power series, substitution, and factoring to find the first four nonzero terms of…

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Q: 1. Determine the number of degree and the end behaviours of the polynomial y = (x + 5)(x − 1)(x +…

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Q: =(4,-1, 7) along b = (6, 6, -7) and the vector component of v Find the vector component of v =…

A: Given vector,v = 4, -1, 7b = 6, 6, -7Vector component of v orthogonal to b.

Q: 6. у” – 5y' + бу = 0 I

A: We have to find the general solution of differential equation

Q: M (3) 20 최대 n=2 1 8 H "n=1^²+1

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: [Fid F. dr, where C is given by the vector function r(t). C F(x, y, z) = (x + y2) i+xz j + (y +z) k,…

A: NOTE: Refresh your page if you can't see any equations. here we have ................(1) so we have…

Q: Given y(4) 6y" - 36y" +216y' = t² + 6+ tsint, determine a suitable form for Y(t) if the method of…

A: Given :y4-6y'''-36y''+216y'=t2+6+tsint

Q: Find the area of the surface formed by revolving the polar equation over the given interval about…

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Q: The graph of the function f(x) is M Given the differential equation a' (t) f(x(t)). List the…

A: The equilibrium points are the points where the curve touches or crosses the horizontal axis.   So,…

Q: yield. population size of the yield thousand whales thousand whales 1.02p, wher ands. Find the gives…

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Q: (a) Graph the function f(x)=-=x+4, -3 < x≤6 3 (b) Graph the inverse function of f(x) on the same…

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Q: 8 Determine if the following series converges or diverges. If you invoke a test to demonstrate your…

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Q: For the sequence, determine if the divergence test applies and either state that lim a does not…

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Q: Get the:  1. Revenue function  2. Demand function

A: To find out the revenue function and demand function by using the marginal revenue function.

Q: Consider the parallelepiped with adjacent edges Find the volume. u = 2i + 7j + k v=i+j+7k w = i +4j…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: The indicated function y(x) is a solution of the associated homogeneous equation. Use the method of…

A: The given equation is;  y''-3y'+2y=5e3x.

Q: Question 4 Solve the rational inequality 2x²-8x+15 xâ45241 ≤0, using a factor table.

A: Given :2x2-8x+15x2+5x+4≤0

Q: 5. Determine whether 3x 4 is a factor for each polynomial. Show all your work! 3 a. 6x 6x³ - 26x²…

A: Solution is given below:

Q: Determine whether the following statement is true or false. If y = f(u) and u = g(x), then =…

A: Here, the given functions are y=f(u) &amp; u=g(x).

Q: A product sells by word of mouth. The company that produces the product has noticed that revenue…

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