Find the extreme values of f on the region described by the inequality. (If an answer does not exist, enter DNE.) f(x, y)-e-xy, x² + 4y² ≤ 1

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given curves: y=x4, y=1 To find: Volume of solid obtained by rotating the region bounded by the…

Q: Find an equation of the sphere with center  (3, −7, 3)  and radius 5. Use an equation to describe…

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Q: Find the derivate of the functions of at any Use the form f'(c) = lim f(x) - f (c) for a and b X->(…

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Q: Evaluate the triple integral. JJL. TV₂ where G is the solid in the first octant that is bounded by…

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Q: S Du Arriving at the eighth and penultimate gate, you immediately get to work. "Computer, translate…

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Q: Assume that x=​x(t) and y​=y(t). Find dx/dt, using the following information. x^2+y^2=0.73: dy/dx=-2…

A: x2+y2=0.73given dydt=-2x=-0.3y=0.8d dx(xn)=nxn-1

Q: The gradient of f(x, y) = xy at (x, y) = (2,3) is

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Q: In this problem, p is in dollars and q is the number of units. Suppose that the demand for a product…

A: Given: Demand for product is given by 2p2q = 30000+9000p2, where p is in dollar and q is the number…

Q: In which limits below can we use L'Hospital's Rule?

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Q: Given f'(x) = -9 sin(3x) and f'(0) = 2 and f(0) = 5. ƒ(7) Find f =

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Q: B₂ (x₂3x₂ ) = 4x₁x₂ *1*2 0< x₂ <1 2 Y₁ = x₂₁² Y₂ = X₁ X/₂ Find the joint pdf for Y₁, Y₂ for 0<x< ₁…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

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Q: Evaluate dw dt OA. -9 OB. 5 O C. 11 O D. 7 at t= 1 for the function w(x,y) = x² - y² + 9x; x = cos…

A: Given: w(x,y)=x2-y2+9xx=costy=sint   We are required to find dwdt at t=π2

Q: Find an equation of the tangent line to the curve at the point (1, -1-). y = x³e-x y =

A: To Find: Tangent line to y=x3e-x, at point 1, 1e

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: Given the vector u = (5, 3), find the magnitude and angle in which the vector points (measured…

A: u→=&lt;5,3&gt;

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: To find where the function is increasing or decreasing.

Q: Given the points A: (-5,4,0) and B: (2,-2,4), find the vector u = AB ú=< -3 X 2 X 4

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Q: Use double integration to find the area of the plane region enclosed by the given curves. y = 4 sin…

A: By using the double integration to find the area of the plane region  enclosed by the curves. y=sin…

Q: Determine the PDE of all surfaces cutting the family of cones given by x²+y²-a²z²=0

A: The family of cones given by the equation:   x^2 + y^2 - a^2*z^2 = 0

Q: Find the length of the curve. r(t) = cos(6t) i + sin(6t)j + 6 In(cos(t)) k, 0≤t≤ π 4

A: NOTE: Refresh your page if you can't see any equations. . the given curve is take derivative

Q: Evaluate the limit sin 2x 8x lim x→0

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Q: If 3 A = -4 -4 8 1 x 4 1 1 Is a singular matrix, then x is 1

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Q: Find the derivate of the function: a) f(x) = x²(x²-8) F'(x) = 2 b) f(x) = (5x²³-7) (6x + 1) = 3 c)…

A: Since you have posted multiple question in this question so i have solved the first three subpart…

Q: h(x)=5.5x-3.42 The leading coefficient of the polynomial ​

A: We know that the leading term of polynomial is term that contain the highest power of variable.

Q: Given f(x, y) = 100x + 80y - 2x²- 4y² - xy Evaluate f(10, 9)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given the geometric sequence: 19, Find an explicit formula for an. an Find a7 = 190 3 1900 9

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Q: Find a formula for the n" partial sum of the series 5- th The formula for the nth partial sum, s of…

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Q: 3, 3, 1 > and b Let a = . Find k so that a and b will be orthogonal (form a 90 degree angle). k=

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Q: Find and classify the critical points of z= (a²-8x) (y² – 4y) Local maximums: Local minimums: Saddle…

A: The given function is;  z=(x2-8x) (y2-4y).

Q: a) Suppose that lim n-00 ∞ The series Enan n=1 an+1 an 1 == 2 converges ✓ by the ratio test <

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Q: ← aw Əw For the functions w = xy + yz + xz, x= 2u+ 3v, y = 2u - 3v, and z= uv, express and du Əv…

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Q: If is differentiable, then the function. e + f(x) √√3 is differentiable.

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Q: (a) Find the linear approximation L(x) of 2 f(x) = x³ at x = 3 L(x) = x = 27. (b) Use L(x) to…

A: The given function fx=x23. To find the linear approximation of fx at x=27.

Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

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Q: 3. a) Find the limit of the sequence an = (2n²+3)(n-1) n(n² + 1)

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate lim x→∞ _x3 _ 5x2 +52 – 2 x² + 4x +3 =

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Q: A tank contains 500 gallons of salt-free water. A brine containing 0.25 lb of salt per gallon runs…

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Q: Solve the system of equations. x - 2y z = 6 -x + 6y-3z = - 18 2x-11y + 5z = 33 Select the correct…

A: Given equations x - 2y - z = 6 -x + 6y - 3z = -18 2x - 11y + 5z = 33

Q: A ship sails on a heading of 240° for 80 km. It then goes on a heading of 140° for 110 km. Determine…

A: To solve the problem, we can use the law of cosines, which relates the lengths of the sides of a…

Q: Consider the graph between two curves. Which of the following is the correct set up for the area of…

A: Application of derivative

Q: Given ƒ"(x) = 6x – 5 - and ƒ'(−2) = −1 and ƒ(−2) = 2. Find f'(x) = and find f(2)=

A: We need to find out the value of f'(x) and f(2) for which the second derivative is given.

Q: Differentiate the function. f'(x) = f(x) = In(cos(x))

A: The solution is shown below-

Q: Change the Cartesian integral - ² dy dx into an equivalent polar integral. Then evaluate the polar…

A: To change the Cartesian integral ∫-55∫025-x2 dy dx into an equivalent polar integral. Then to…

Q: The Map As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you…

A: Given f( x ) is continuous in the given domain If a function is continuois at x = a then limx→a-f( x…

Q: Find the derivative of the function. -7x³ - 6 6x² +7 f(x)=

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Q: Given (y)-16-²-², use the total differential to approximate or at (4.1) towards (24,1.05). Round…

A: △x=2.4-4=-1.6△y=1.05-1=0.05

Q: A water well has an 8-inch diameter and is 180 feet deep. The water is 15 feet from the top of the…

A: Given: Pumping the well dry which is 8- inch in a diameter 180 feet deep for which the water is 15…

Q: 5 The curve y = -5 x³ + x² + x + 1 "Trident of Newton". y 7 1 X 1 y= is known as the x³ + x² + x + 1…

A: To find the coordinates of the point where tangent to curve is parallel to y=2x.

Q: Consider the graph between two curves. Which of the following is the correct set up for the area of…

A: Consider the graph between two curves. To determine the set up of integral  that represents the area…