Question 1 Use the method of Lagrange multipliers to find the maximum and minimum values of the function ƒ(x, y) = x² + y² + 2x - 2y

Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: A function f(x) is said to have a removable discontinuity at `x-a` if: 1. ` f' is either not defined…

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Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: Solve the problem. I ) Suppose the demand for a certain item is given by D(p) = -4p2 + 7p+ 5, where…

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Q: (a) Find an angle between 0 and 2π that is coterminal with 17t 10 (b) Find an angle between 0° and…

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Q: 7. Use the Mean Value Theorem and find all points 0 <c<2 such that f (2)-f(0) = f'(c)(2 - 0). f(x) =…

A: topic:- function

Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

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Q: Calculate the integral, assuming that fo f(x) dx = -4, f f(x) dx = 4, f f(x) dx = 7. (Use symbolic…

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Q: If we apply Rolle's Theorem to the function f(x) = 2x² – 20x − 2 on the interval [3, 7], how many…

A: We have to apply Rolle's theorem.

Q: Evaluate the integral with the aid of an appropriate u-substitution. Simplify the answer, if…

A: In this question we have to solve the Integral.

Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x Y F(x, y) =

A: To find the work done by the force field F in moving an object from P-3, 7 to Q7, 5. Fx,…

Q: Calculate the integral, assuming that fo f(x) dx = 14 and fo g(x) dx = 9. (Give your answer as a…

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Q: 1. (a) Suppose u = 3î+2j-1k and v= 0î+ 55+7k. Simplify the single expression: (u.v) (ux v) (b) Write…

A: We have to solve one question Please repost other questions again

Q: Question 3 ( ) Evaluate the integral 11₂ D ydA where D is the region bounded by the curves = 0 and x…

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Q: The graph below is the function f(x) 543 -5 -4 -3 -2 -2 2 1 I 2 lim I→2 -1 -2- -3- -4 Select all…

A: In this question, we want to select all the correct options by the given graph.

Q: Find the linear approximation L(x) of the function g(x) (1+x)1/3 at a = 0. Then use L(x) to…

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Q: Question 14 of 20 View Policies Current Attempt in Progress Let f (x) = 1 Determine whether f is…

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Q: Find the linear approximation L(x) of the function f(x) = (1-x)1/2 at a=0 and then use L(x) to…

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Q: i) Find the general term (an) of the sequence ii) Calculate 2e¹,5e-2, 10e-3, 17e-4,26e-5, 37e-6, ...…

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Q: View Policies Current Attempt in Progress Determine whether the following statement is true or…

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Q: a) [ i) Find the exact length of the curve y = x³ + 12x 1≤x≤2

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Q: Use the graph of the derivative g'(x) shown below and the terminology: increasing, decreasing, local…

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Q: Find the slope of the line tangent to the polar curve at the given points. 7-49 cos26. (0.7). (0.-)…

A: Slope of the tangent line at given point for curve r2=49cos2θ

Q: Find the derivative of 3 4x 2 - (²x - ²)² 2x You should leave your answer in factored form. Do not…

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Q: Justify your answer. n=1 test, ratio test, root test The series onverges (converges, diverges) by…

A: To find by which test the given series converges or diverges.

Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: 5 [³ (Use symbolic notation and fractions where neede Calculate the integral, assuming that f(x)dx=

A: topic:- integration

Q: Determine fr and fy from f(x, y) = x³ + x²y + xy² + y³ ○ fx = x + xy, fy = x + 2xy ○ fx = x² + xy,…

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Q: Sketch the hyperbola. Find the center, vertices, asymptotes, domain and range. 9x²16y² + 18x + 64y -…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 9

Q: Solve the initial-value problem 1. (D² + 4) v = 12; y(0) = 0 (0) = 2

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer…

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Q: Question * O O O The following integral 1° (3 (3 - ex) dx is an improper integral of type II that…

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Q: 10 Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.) 1-2

A: Find the limit from the graph

Q: 3 If f(x, y) = x³ + y² − 1, then the directional - derivative at the point (-1,2) in the direction…

A: A detailed solution is given below.

Q: Consider the following function. f(x) = 4x² - 6x Find the limit. lim Az-0 f (x + Ax)-f(x) Ax

A: Explanation of the answer is as follows

Q: ∞<a=(a'l Find the local max & min using First and second Derivative 3 f(x) = 9+3x2 - 2x² 7 sou?

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Q: a) Sketch the region of integration and evaluate the double integral 8 [L, -6 10 -2 y + xy² dx dy b)…

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Q: Notice that if you don't use Equation 3.4, then NO CREDITS. 1. f(x)=1-x-x², a=0 2. 3. f(x)=√x+8, a=1…

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Q: Let A be an 8 x 8 matrix with det(A) = −2. Let B be the matrix that can be obtained by applying the…

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Q: sin(2t). Find Əz Ət if z = √r² + s², r = cos(2t) and s =

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions?…

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Q: an = 2 + (−1)n

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Q: Find the solution of the following initial value problem. y(0) = 8, y'(0) = -55 : y" + 15y' + 50y =…

A: Given :y''+15y'+50y=0y(0)=8y'(0)=-55

Q: True or False: True O False 5 5 X dx 5 X + +51n|√√x+C

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Q: If the average value of the function f(x) on [0, 3] is equal to 3 1 3/² 0 what is Select one: 0 6 O…

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Q: What is the integral that represents the length of the curve from x = 2 to x = 4. Select one: 0 ₂²…

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Q: Use Stokes' Theorem to compute ff.xx where F = (x, xy, zy), and S is the upper half of the sphere x²…

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Q: If F(t) = 2tî - 5ĵ + t²k and G(t) = (1 – t)î +=k, find (F.G) (t). t 2t 2t - 2 2t - 2t² 3t - 2t²

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Q: y = -x² + 13 and y = x² + 5

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Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

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