Use Lagrange multipliers to minimize the function f(x,y,z) = x² + y² +z² subject to the following constraint. x+y+z-33=0 Assume that x, y, and z are positive.

Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: Find V x F for F(x, y, z)= - -xZ + y² i+ -yz x² + y² =j+√x² + y²k.

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Q: Find G'(w) if G(w) = 9 6 4w +6+ √w.

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: Estimate the slope of the tangent line of the function y(t) = √√/4t + 1 at the point t = 3. (Use…

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Q: The auxiliary equit of the given diff- is m² + 6m +8 = 0 2 m² + ym + 2m +8=0 m (m+4) +2 (m+4) = 0 2…

A: We can solve your query in the following steps.

Q: Find the area of the surface obtained by rotating the curve about the y-axis. = (y² - Iny), 1 ≤ y ≤…

A: surface area  about  y axis  bounded by  x=g(y)Area=∫ab 2π g(y)1+g'(y)2  dy

Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

A: Taylor series of function fx at a is defined as:…

Q: T - Compute u v if u and v are unit vectors and the angle between them is 73 2 u*V= (Type an exact…

A: In this question, we want to find the dot product of the given vectors u and v.

Q: Given the points A(1,2,3,) and B(2,-2,1) Resultant, vector C, of vectors A and B (A+B) Vector AB

A: resultant vector C = A+B  = (1+2,2-2,3+1)  = (3,0,4)

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→ (Use symbolic notation and…

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: we will use second partial test.

Q: Find the slope of the line tangent to the graph of f(x) = -x-1 at x = -3. Provide your answer below:…

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Q: In one town, the number of burglaries in a week has a mean of 4.7. Find the probability that in a…

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: This is a problem related to linear approximation of the function. Based on the general formula and…

Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. a =…

A: To find if the given sequence is convergent or divergent.

Q: 2. √ (e²x +e-2x) S 2 dx 1/

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Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³…

A: To find out the volume of revolution.

Q: 1. Find the area of the region bounded by the graphs of y = x² + 2, y = -x, x = 0, and x = 1. Hint:…

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Q: Question For a Function where every one Y-value, X-value would the inverse of be a function as well?…

A: We have to explain that inverse function exist or not

Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (4,0) b.…

A: Since you have posted question with multiparts questions. As per guidelines we"ll solve only first…

Q: 4. Consider the region bounded by y=x² and y=x in the first quadrant. What is the volume of the…

A: Disclaimer: According to the guidelines, the handwritten solutions are not provided at the moment,…

Q: √x dt 1+t² 2 em moves along a coordinate axis al ith velocity v(t) = 2t² -1 meters econd. Find the…

A: Topic:- calculus

Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

A: Given the graph of a function. To find the points where the function is discontinuous or not…

Q: f(x, y) = -(x-7)² In²(y + 4)-(4x + 7y)². a) Find all the first partial derivatives of the function…

A: As per the guidelines of bartleby the first question from multiple questions is answered at a time,…

Q: Compute (-3,-5, -1) (3,1,-4). (-3,-5, -1) (3,1,-4)= (Simplify your answer.) |

A: (-3,-5,-1)*(3,1,-4) here dot product is given  and we have to multiply this vector  formula use:…

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

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Q: Express your final answer at least three (3)decimal places. The population of a townin…

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Q: Which polar coordinate pair labels the same point as the one shown below? Select all that apply. A.…

A: Here is the solution:

Q: Find all the zeros of the quadratic function. y=x² - 10x+16 If there is more than one zero, separate…

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Q: r(t) = (-2 cos (2t), 3 sin (3t), ln (2t)), then the fr(t)dt is equal to 3 -cos (3t), tln (2t) - t) +…

A: Here we find the correct option,

Q: Use either integration by substitution x² +1 S x³+3x+5 dr given that A-5 and B=7 Give your answer to…

A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

Q: dz 2 ē j ( W ± ¹ ) ( x (Z) e ³ (W+¹) Z dz 2 BO t AN Z 2dt = dz t = How did he get the value inside…

A: Multiply the term in power of exponential and then use am+n  = am * an Since, one term is constant…

Q: Find the area of the region inside one leaf of the three-leaved rose r = cos 30. The area of the…

A: We have to find the area of the region inside one leaf of the three-leaved rose.

Q: The auxiliary equit of the given diff- is m² + 6m +8 = 0 2 2 m² tym+ 2m +8=0 m (m+4) +2(m+y) = 0 (m…

A: Here I will show you two different method to solve the value of   m

Q: Question 8 Which of these is the volume of the solid of revolution generated by revolving the region…

A: Here we have to find the volume.

Q: For each of the following functions, f(0), find f(1), ​and ​f(5).

A: Follow the procedure given below.

Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

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Q: 1₂ = 2√ x²+) ·cos (nwot) at = [² (-²) 2 O 25+ (1+) Cos (2nrrt) dt = 21- 1² (1-1) Los (n 2πrt) (t-1)…

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Q: Evaluate (for x>0) 3√x dt d dx A 2 1+t²

A: Given :ddx∫0x3dt1+t2

Q: 1) Given f(x) = -6x +5 and g(x) = 2x + 3 b) Find f (f ¹) (2)

A: We need to find f(f-1)(2).

Q: 128. Express the equation (x + y)² = x − y in polar form.

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Q: r(t) = (-2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 (-sin (2t), cos (3t), t ln…

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Q: (8) A ITI system is described by the D.E. y +6 Y+8y=2XL) find h(t) then find y(t) if X(t) = té²t…

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Q: 3 If F(x) = 2x² x² is an antiderivative of f(x), find Provide your answer below: S-2f(x) dx = 1-2…

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Q: Find the polar coordinates, 0≤0<2r and r≤0, of the following points given in Cartesian coordinates.…

A: We know that conversion of cartesian co-ordinates to polar co-ordinates, r=x2+y2θ=tan-1(yx)

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x − 7)² In²(y +…

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Q: Unauhauhay Question 5 of 10 x²+x-6 U 1-27²-5-².a Inal Inal Inal lim Evaluate the limit 2x2-x-2.

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Q: 5. A spherical tank of radius 8 feet is half full of oil that weighs 50 pounds per cubic foot. Find…

A: Let's find work required(w).