Find the extreme values of f on the region described by the inequality. f(x, y) = x² + y²+ 6x – 6y, x² + y² < 49 %3D

Q: II. Evaluate (x- y)dA where R is the region above the x -axis bounded by y² = 3x R and y? = 4 – x.

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Q: (b). Find the area of the region enclosed by the graphs of f(x)=x² -x and g(x)=2x.

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Q: 4. Find the area of the region bounded by the graphs of f (x) = x³ +x2 – 6x and g(x) = 2x – x2 20 А.…

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Q: 412.4) 1] For the bounded region, what is the value ofR (4x + 2) dA? y 2x a) 5 b) 12 c) 22 d) 8 e)…

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Q: Q3: Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

A: Given problem:- Find the area of the region bounded by the curve y = x3 and the lines y = - x, y = 1

Q: y = -x² + 2x + 2 y = -x + 2 cetch the region bounded by the graphs of the equations, y 10

A: Given that: y=-x2+2x+2y=-x+2

Q: Find the area of the region bounded by the curves y = 2 - x2 and y = -x. Select one: а. 11/3 O b.…

A: This question can be solved using the concept of area between two curves.

Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

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Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

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Q: Is the solution region bounded or unbounded? - x+y 2 -6 x 2 - 10 x s 0 ys0 The region is V because…

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Q: The area of the region bounded by y = x² , and x = y² is: Select one: а. 2 3 O b. 1 1 3

A: Draw the given curve of graph.

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 - 4x -…

A: we use langrange multiplier method

Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x2 + y? + 8x – 8y,…

A: Given function is f(x,y)=x2+y2+8x-8y Consider g(x)= x2+y2≤81 Let us find the gradient of the given…

Q: Find the area of the region between v= 4x - x2 and the x-axis from x = 0 to x = 4. 11 square units O…

A: Area of region can be determined using the formula given as     A = ∫ba y dx   ........(1)…

Q: Find the extreme values of f on the region described by the inequality. f{x, y) = e-Xy; x2 + 4y2 < 1

A: We will lagrange's multiplier here

Q: The figure below shows a region that consists of a semi-circle on top of a rectangle. Give the value…

A: The given region is as follows, Length of the rectangle = x units =Diameter of the semicircle ∴…

Q: 1 dA, y3(x3+1) Evaluate 1 where D is the region bounded by www 1 x = -y3, x = 3 and the x ахis. |

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Q: The maximum value of the function f (x, y) = x² + 2y² – x in the region x? + y? < 1 3/2 zero 9/4…

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Q: Find the area of the shaded region. y x = y - 7 y = 1 x = ey -4 -8 -2 2 4 -6 y = -1 -2 -3 2.

A: We have to find the area with respect to y here. To find the area between x=e^y and x=y^2-7 we have…

Q: The maximum value of the function f(x,y) = x² + 2y² – x in the region x2 + y? <1 zero -1/4 O 3/2 9/4

A: We have to find the maximum value of the function f(x,y)=x2+2y2-x in the region R: x2+y2≤1.

Q: 4. Find the area of the region bounded by y=6-2-2² and the z-axis. 125 (a) A= square units 6 (b) A =…

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Q: Find the area of the region. f(x) g(x) x2 + 2x + 1 = 2x + 17 y 25 20 15 10 -8 -6 -4 -2 4 6. LO

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Q: The region inside r = Vcos(0) and inside r= in the first quadrant Ans: 3 V2

A: Hi! You have posted multiple questions. As per norms, we will be answering the first question as…

Q: Q3: A common region defined by two functions: x= 2, and x? + y? = 4. The form of the double integral…

A: Function x2 + y2 = 4 is a circle whose center is at origin and has radius of 2.

Q: S f(x,y)dA It posits only in the region bounded by; the x-axis, y - 2 = 0, www y + x - 5 = 0 and x =…

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Q: Find the area of the region(s) enclosed by the curve (x) the x-axis, and the lines x = -1 and X= 2.…

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Q: The area of the region bounded by y-19-x, the x-axis and the line y-x in the first quadrant is: O…

A: Given: y=9-x2 y=0 y=x Calculation: Use an online graphing calculatora and obtaine the bounded region…

Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁ A 2²—4² B (√2-1)u² C8u² 3 (D)

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Q: Find the area of the shaded region. f(x) = -x3 + x2 + 16x %3D 30+ 20+ (4, 16) 10+ -4 -2 4 6. х (-3,…

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Q: Find the area of the shaded region. y 3- x= y - 8 y = 1 x= e X -6 -4 -2 4 Hy = -1 -2 -3 2. 2.

A: To find area of a shaded region we always draw a strips parallel to either x axis or y axis…

Q: Given f x, y=x*+y°-2 xy+1^R={[x, y):-15xs1,-2ys2} Find the absolute Max and Min values of f(x, y) on…

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Q: nd the volume of the three-dimensional region enclosed by the surface y=3x2+z2 and y=8-x2-z2…

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Q: 4. x= y² – 4y (-3, 3) -4 Find the area of the shaded region. x= 2y – y?

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Q: The diagram below shows the graph of y = √√x and y = x. Consider the region bounded by the two…

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Q: Q4 Let R be the region in the first quadrant bounded by the graph of y = a/x (a >0),x = 1, and x =4…

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Q: What region R in the xy-plane minimizes the value of the following expression? JS (2² (x² + y² - 9)…

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = x2 + y² + 6x – 6y,…

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Q: Q2 Find the area of the shaded region. (a) YA x= y² – 4y (-3, 3)– x= 2y – y²

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Q: y R 4 Let R be the region bounded by the graphs of y = }x² + 2 and y = 2+ 6x – x? , as shown in the…

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Q: 4. f(x, y) = 4x + 4y; R is the region enclosed by the circle x +y = 4. %3D

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Q: Find the area of the region bounded by y=x²-6r+5 and the z-axis. (a) A- 125 3 square units (b) A (c)…

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Q: Find the area of the region bounded by the graphs of the given equations. y = - 2x-x, y= - 8 The…

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = e-XY; x2 + 4y2 s 1…

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Q: Find the area of the region a. f(x) = 2e*/2 y 4 1 2 4 3. 5. 3. 2. 1.

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Q: 3. Region bounded by y y=x and y = 2x a. revolved about the x-axis (Washers) b. revolved about y=5…

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Q: 15. x² dA; R is the region bounded by y = 16/x, y= x, R and x = 8.

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Q: 5. Find the area of the region bounded by y=x² - 6x +5 and the x-axis. 125 (a) A= square units 3 (b)…

A: To find the area of the region bounded by given curves.

Q: Find the area of the region bounded by y = 6-x-x² and the x-axis 125 6 (a) A = square units 6 (b) A=…

A: The given curves are; y=6-x-x2 and x-axis or y=0.   Now find the x-intercept of the the curve…

Q: Find the extreme values of f on the region described by the inequality. a) f(x, y) =(x² +2y²)e*x+y…

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