Describe in words the region of R(all real numbers)^3 represented by the inequalities 1 < x2 + y 2 + z 2 − 3z ≤ 4

Q: Sketch the region defined by the inequalities 0 ≤ r ≤ 2 sec θ and -π/4 ≤ θ ≤ π/4.

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Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A: Let x and y be the dimension of the farm. x be the side along the barn. y is the side where cost is…

Q: 9. Find an expression in terms of x for the volume of this cuboid 3z - 1 2z - 3 5z +1 30z - 492 - 4z…

A: Concept: Volume of the cuboid is given by the formula: v=l×w×h

Q: Find the area of the region bounded by the graphs of the equations. y = 8x2 + 4,  x = 0,  x = 2,  y…

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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: 8. The area of a rectangle whose perimeter is a fixed 80 feet is given by A 40w – w² , where w is…

A: Perimeter of rectangle is 80 feet p=80 2(l+w)=80 l+w=40l=40-w Area of rectangle:- A=lw =(40-w)w…

Q: A rectangular container has a square base and a lid. Material for the sides costs $15 per square…

A: Given data: The side cost for the container is Cs=$15/m2. The cost of the base and lid is Cb=$10/m2.…

Q: Sketch the region that corresponds to the given inequalities. 5x  −  y  ≥  0 x  −  2y ≤ 0 x ≥  0, y…

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Q: A candy box is made from a piece of cardboard that measures 45 by 24 inches. Squa

A: Given: A candy box is made from a piece of cardboard that measures  45 by 24 inches. Squares of…

Q: Sketch the region that corresponds to the given inequalities.   12x  +  6y ≤ 60   6x  +  12y ≤ 60…

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Q: open box is to be constructed so that the length of the base is 2 times larger than the width of the…

A: We will find the dimensions of the box.

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: how that the quality [x+y]=[x]+[y] is not valid for all real numbers x and y. please explain…

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Q: A courier service will deliver a package only if the length plus girth does not exceed 96 inches.…

A: As per given  We have to determine dimension of rectangle box

Q: A rectangular field is to be enclosed with a fence. The available fencing material is 150 meters…

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Q: The base of a three-dimensional figure is bound by the graph x = y3 on the interval [1, 2]. Vertical…

A: answer is in next step.

Q: Lester thinks that the solution of any inequality with a > sign is the region above the line and the…

A: In this case graph can be of two type: Horizontally or vertically. Case 1: When a graph (or line) is…

Q: The sum of two nonnegative numbers is 700. What is the maximum value of the product of these two…

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Q: here are two regions bounded by the line y=x and the curve y=x^3, one in the first quadrant and…

A: Given problem:- There are two regions bounded by the line y=x and the curve y=x^3, one in the first…

Q: A box with a top is constructed from a piece of 200-cm by 400 out and the flaps are folded to make a…

A: Given: - A box with a top is constructed from a piece of 200 cm by 400 cm cardboard. The shaded…

Q: 1. A 12-meter wire is cut into two pieces so that x meters will be used to form a circle and the…

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Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 16 -…

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Q: Write inequalities to describe the region bounded between the yz-plane and the vertical plane x = 5.

A: The objective is to write the inequality to describe the region between yz - plane and the vertical…

Q: An open box is to be made from a square piece of cardboard, 48 inches by 48 inches, by removir a…

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Q: A 600-m2 rectangular lot is to be fenced along its boundaries. Moreover, fences parallel to the…

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Q: The shaded region between the graphs of y = 2x2 + 20 and y = 3x – 15 is displayed below in 25 -6 -…

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Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

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Q: 2. The sum of perimeters of an equilateral triangle and a square is 10. Find the dimensions of the…

A: Recall: In equilateral triangle, all three angles are always 60°.

Q: Among all pairs of numbers whose difference is 4, find a pair whose product is as small as possible.…

A: let the smaller number is x and the other number is x+4.and solve the question . see 2nd step.

Q: Find the area of the region bounded by the graphs of the given equations x=y^2 , x=16-y^2

A: topic - area bounded by curves

Q: What should the dimensions of the poster be so that the least amount of poster is used?

A: Assume that, x = length of the printed space y = height of the printed space Then, Length of the…

Q: A rectangular field is to be fenced off along the bank river where no fence is required along the…

A: Let the length of the side parallel to the bank be y feet and the length of the other side be x…

Q: Sketch the region that corresponds to the given inequalities. 2x  +  4y  ≥  20 x      ≤  5     y  ≤…

A: We first sketch the inequalities using a graphing calculator

Q: Sketch the region that corresponds to the given inequalities. x  +  y  ≥  4 x      ≤  8     y  ≤  8…

A: see below the answer and the graph

Q: Sketch the region that corresponds to the given inequalities. 10x  +  5y ≥ 50 5x  +  10y ≥ 50 5x  +…

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Q: 6) A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

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Q: right triangle whose hypotenuse is V3 m long is revolved about one of its legs to generate a right…

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Q: A rectangle is founded by the x-axis and the semicircle y = √ of 9 - x² what length and width should…

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum.

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Q: 1. The sum of two positive numbers is 42. Find these numbers if their product is a maximum. 2. The…

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Q: Suppose a company has fixed costs of $46,800 and variable cost per unit of 2/5 x + 333 dollars,…

A: Solution:- find total cost and revenue cost

Q: A customer has a circular pool that is 20 feet in diameter. They want to plant bushes completely…

A: Given that: Diameter of circular pool=20 ft

Q: A rectangle has its two lower corners on the a-axis and its two upper corners on the curve y = 64 –…

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Q: Describe in words the region of R3 represented by the equation. x² + y2 + z² = 36 The equation x2 +…

A: Given equation is x2+y2+z2=36. We have o describe in words the region of R3 represented by the…

Q: stion do not necessarily correspond to the number of correct choices in this question. If there are…

A: We have to choose the correct answer from the given option according to the given condition

Q: The area of the region bounded by the curve y= e2x, the x-axis, the y-axis, and the line x = 2 is…

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Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose by cutting equal squares out of…

Q: A line with negative slop X-axis and y-axis and passes through the point (2, 2). What is the sum of…

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