Lena does a weekly exercise program consisting of cardiovascular work and weight training. Each week, she exercises for at least 12 hours. She spends at most 9 hours on weight training. She spends at most 6 hours doing cardiovascular work. Let x denote the time (in hours) that Lena spends doing cardiovascular work. Let y denote the time (in hours) that she spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.

Q: Sketch the region given by the set. {(x,y) | x2 + y2 ≤ 1}

A: Given: x,y/x2+y2≤1 The graph of the given set is:

Q: Find the totol area of the Shadeal regions in the Foltowing; X=2y22y 2)

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Q: R is the region bounded by y = x² – 2x and y = x – 2.

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Q: denote the time (in hours) that Ashley spends doing cardiovascular work. Let y denote the time (in…

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Q: Describe and sketch the region of following: Im (z²) = 4 %3D

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Q: Describe in words the region in R° represented by the equation x2 + y² + z² < 0.

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Q: Let R be the region bounded by the x-axis, the graph of y = Vx , and the line x = 4. Find the value…

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Q: Sketch the region A= {(x, y)|(y>-log, x)^(y Sx²)}.

A: The region,  A=x,y|y&gt;-log2x∩y≤x2

Q: An area of a region bounded by a curve y = f(x), x axis and lines x = a and y = b for (b > a) may be…

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Q: (a) Find the region enclosed R by the curves y = x2 - 2x +1 and y = -x + 2x +7.

A: Let f(x) and g(x) are two continuous functions and fx ≥ gx on the  closed interval a, b. Then the…

Q: Sketch the region given by the set. {(x, y) | y = 3}

A: The set is x,y|y=3. The region is set of all values x,y such that y=3. That is, the region is the…

Q: Find the value of c such that the area of the region bounded by  y = x2 − c2 and y = c2 − x2  is…

A: Given: Area of the region bounded by  y = x2 − c2 and y = c2 − x2  is 72.

Q: Sketch the region Re < 1

A: Re1z&lt;1

Q: d) Let A, be the region between y = x² +9 and y 21-x. Let A, be the region between y = x² + x – 12…

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Q: Find the area of the shaded region. y =x4. 32 -2 -5- -10+ -15+ -20- 30+ 35- 40- y = -x 4 O 256 516…

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Q: From a bag of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces of…

A: Given that, From a bag of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4…

Q: Sketch the region given by the set. {(x,y) | x &lt; 2 and y  ≥ 1}

A: Sketch the region given by the set. {(x,y) | x &lt; 2 and y  ≥ 1} The statement which means The set…

Q: Sketch the region given by the set. {(x,y) | x2 + y2 &gt; 4}

A: x, y  x2+y2&gt;4 It contains the region that lies outside the circle x2+y2=4.

Q: Evaluate || xydA, where R is the region bounded by x-axis, ordinate x = 2a and the curve x: = 4ay .

A: That's easy. Have a great day!!!

Q: Sketch the region given by the set. {(x,y) | 0 ≤ y ≤ 2}

A: Consider the region given by the set {(x,y)|0≤y≤2} Observe that the given set includes all the point…

Q: Use a computer algebra system and the fact that the centroid of the region having area A bounded by…

A: As per the question we are given a closed (semicircular) region R of area A bounded by :  y = √(49 -…

Q: Compute the area of the shaded region. y=-x+4 p+X =Á O 2 16 8. 32

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Q: From a bag of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 4 pieces of…

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Q: Let r be the region in the first quadrant bounded by the graphs of y=x^3 and y=4x

A: Find the region in the first quadrant bounded by the graphs

Q: Sketch the region given by the set. {(x,y) | xy &gt; 0}

A: Given: To Sketch the region given by the set{(x,y)|xy&gt;0}

Q: Sketch the region. V

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Q: Sketch the region D = {(r, )|1<r< 2, -<0S} , and evaluate z dA.

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Q: Sketch out the region {z E C : Im(z²) > 0, 1 < |z| < 2}.

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Q: Let R be the region bounded by the graphs of y = VT, y = e, and the y-axis.

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Q: Sketch the region given by the set {(x,y) | x > 1 and y < 2}

A: We have to sketch the region by the set for x, y where, x≥1 and y&lt;2 Sketching x≥1 also y&lt;2

Q: Evaluate fxydxdy over the region bounded by x axis, ordinate x =2 and the curvey2 = 4y O A. 3 O B.…

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Q: Sketch the region given by the set. {(x, y) | x = −1}

A: In the question it is asked to draw the region given by the set {(x, y) | x = −1}.

Q: Find the area of the unbounded shaded region.

A: We see from the curve that x is varying from x=0 to x=1 for shaded region.So, our limit will be x=0…

Q: Sketch the region given by the set. {(x,y) | x ≥ 2}

A: The given set is x, y | x≥2. Sketch the region of the above set as shown below.

Q: Sketch the region given by the set. (a)     {(x, y) | y &lt; 5}

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Q: Sketch the region given by the set. {(x,y) | -4 &lt; x&lt; 4 and -2 &lt; y &lt; 2}

A: Lets sketch the region on xy plane x lies between -4  and 4 so we shaded the region between -4  and…

Q: Hw.3 Find the aveas for the Following regions: - Region bounded by 2- Region bounded by and ッニメ+2…

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Q: Sketch the region given by the set. {(x,y) | x = -4}

A: Sketch the region given by the set. {(x,y) | x = -4} The region is the set of all points of y for…

Q: glxiy) = In (5+ x + y) + 3x -4y %3D

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Q: Sketch the region A= {(x, y)|(y2-log, x)U(x + y² < 4)} .

A: Here,we have given two regions or two functions now we have to sketch these two regions.

Q: etch the region enclosed by y = x²y = √√x,x = 0,x = 1 and find its area.

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Q: Sketch the region given by the set. {(x,y) | x ≥ 1 and y  &lt; 3}

A: To sketch the region of the set (x,y)x≥1 and y&lt;3,consider two equation x=1 and y=3 and draw the…

Q: (b) Find the areas of the regions enclosed by the line Y=* and curve y=x-3x

A: Given: Curves y=x and y=x2-3x Definition: The area between curve f(x)≥g(x) on the interval [a, b] is…

Q: Evaluate |(x-)d4 ,R: the region bounded by y =x & y = x

A: The double integral can be written as . We have given R as the region bounded by the curve and .…

Q: Find the area of the given region bounded by the graphs of y1, y2, and y3, as shown. y1 = x2 + 2, y2…

A: Given that, y1=x2+2y2=4-x2y3=2-x We have to find the area of the region bounded by the above…

Q: Describe in words the region in R° represented by the equation x2 + y² + 2y + z² < 3

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Q: 8. Are these two regions the same? R1 = {(x, y) | 0 < x < VT, 0 < y < x} R2 = {(r, y) | 0< y< VT, y…

A: Given regions are

Q: О к The area of the bounded region below is ec x2 C X²

A: