The figure below shows a region that consists of a semi-circle on top of a rectangle. Give the value of x that maximizes the ar region is 6. 12 T+ 2 b) T+2 67 T + 4 127 T+2 12 T + 4 6. a)

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: Sketch the region corresponding to the statement P(z < c) = 0.05. %3D

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Q: A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out…

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Q: Consider the region bounded by the graphs of y = x2 and y = b, where b &gt; 0. Sketch a graph of the…

A: The given graphs are y=x2 and y=b, where b&gt;0 we have to sketch the region bounded by the graphs…

Q: Write an inequality to describe the region of R³ consisting of all points between, but not on, the…

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Q: 5. Find the area of the region enclosed by one loop of the curve: r= 4cos(3Ø)

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

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Q: The accompanying figure shows the first three rows and part of the fourth row of a sequence of rows…

A: Area of a semi circle of radius r is given by  The first column has 2 semi circles of radius = 1/2…

Q: A right triangle has legs of length h and r and a hypotenuse of length 6. It is revolved about the…

A: This question is related to 3D geometry. Solve in step 2.

Q: A triangle has variable sides x, y, and z subject to the constraint such that the perimeter is fixed…

A: Given that , The sides of triangle are x,y and z and perimeter = 18 cm ⇒x+y+z=18  Find maximum…

Q: In the given question , sketch the region bounded by the graphs ofthe equations and find the area of…

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Q: Prove (via geometry) that the area of a cyclic quadrilateral is the maximum possible for any…

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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: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by…

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Q: 6. Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS, where P(-2,1,0),…

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Q: A rectangle is inscribed in a semicircle of radius R so that one side of the rectangle lies along a…

A: To find the largest possible perimeter

Q: A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out…

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Q: (9) Consider the region R, which is bounded by the graphs below. Which of the following interval is…

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Q: On a sphere a sum of all angles of a triangle is larger than T. What is the largest possible sum of…

A: We know that  On a sphere sum of all angles of a triangles is larger than π. A spherical triangle is…

Q: Consider a wire 4 ft long cut into two pieces. One piece forms a circle with radius r and the other…

A: Given Length of the wire = 4 ft One piece forms a circle with radius r. The other piece forms a…

Q: 1.26. Show that the absolute value of A BXC is the volume of the parallelepiped with edges A, B, and…

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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: Two sides of a triangle have lengths a and b, and the angle between them is u. What value of u will…

A: we know that when two sides of triangle is x and y given and angle between them is θ then area ∆of…

Q: A rancher has 200ft of fencing with which to enclose two rectangular corrals (see figure). What…

A: The rancher has 200ft of fencing to enclose two rectangular corrals. The given figure shows that the…

Q: A vertical dashed line divides a rectangle into two pieces as show in the figure. Find the value of…

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Q: In the following case, a region D is defined. Tell whether the region is a domain. If it is a…

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Q: A region bounded by f(x) = x² + 1, y = 1, and x = 2 is shown below.

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Q: a

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Q: A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out…

A: Suppose that the box height is h=4 in. and that it is constructed using 156 in.^2 of cardboard…

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: Find the volume of the semicircular wedge shown in the following diagram, which is the region where…

A: The given curves are x2+y2≤9, z≥0 and z≤-y. To find: the volume of the given area.

Q: 3. * 2 points the volume of a parallelepiped whose edges are repreented by – 12î + Âk , 3ĵ – k , 2î…

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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: 3. Consider the region, R, bounded by the graphs of y = x and y = √√x. a) Make a sketch of R.

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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: 2. A 27-in gutter is bent on two sides as shown. Find the r and o values that will maximize the area…

A: From the given diagram:The cross-sectional area…

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: Sketch the region defined by the inequalities -1&lt;=r&lt;= 2 and -pai/2&lt;=u&lt;=pai&gt;2

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Q: A rectangular box with no top is to have a surface area of 16 m2. Find the dimensions (in m) that…

A: Use derivative test for calculating the maximum volume of a rectangular box. Assume that base of box…

Q: A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The…

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Q: 2. Find the volume of tetraherdon with the vertices A(-1, 2,0), B(0,3,-1), C(3,3,0), and D(1,1,-1).…

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Q: Consider the region K = {x² + y² + z? 0, y 0, z < 0} Choose ALL OF THE FOLLOWING which are…

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Q: 6) Determine the dimensions x and y that maximize the area given a perimeter of л. Assume each curve…

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Q: Find the extreme values of f (x, y) = x² + y² + 4x – 4y inequality x² + y? < 9. on the region…

A: We are given that f(x, y) = x2 + y2 +4x-4y  We have to find extreme values of f(x, y)  On region…

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: * and Let R be the region bounded by the graphs of Ci: ]y C2: (y – 4)² = -4(x – 6). Find and solve…

A: Given : R be the region bounded by the graph of curves C1 : y - 1 = 12x and C2 : y - 42 = -4x - 6…