Find the number b such that the line y = b divides the region bounded by the graphs of y = 25x2 and y = 25 into two regions with equal area. (Round your answer to two decimal places.)

Q: Find the area of the region bounded by the parabola x = 3 + 2y – y² and the line 2x + 3y = 6.

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Q: 3. Find the shortest distance between parallel planes 2x - 3y + z = 4 and 4x -6y + 2z = 5.

A: Given equation of planes: 2x-3y+z=4 and 4x-6y+2z=5. To find: Shortest distance between the parallel…

Q: 3. y = 1+Vx eğrisi, y = 3 – x doğrusu ve eksenler arasında kalan bölgenin koordinat düzleminin 1.…

A: Given the curve y=1+x, and the line y=3-x. Find the area between the curve, line  and bounded by the…

Q: 1. A (-4, -1) B (-1, -1) C (-1, -5) D (-4, -5) Find the area.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Sketch the region described by the inequalities: a. 3x - 2y 9.

A: We first draw the lines and their region. Then shade the intersecting region. Note that there is…

Q: a) Determine the area of the largest rectangle that can be drawn in the region between y= x3, the…

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Q: 1. a) Find the length of the curve: y=+[1,2]. b) Find the area of the surface obtained by rotating…

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Q: 3. Refer to the graph below, showing regions R₁ and R₂. Find the area of R₁ a. b. Find the area of…

A: Refer to the graph below, showing regions R1 and R2. (a) To find the area of R1. (b) To find the…

Q: Sketch a possible region and find m so that the region above the line y = mx and below the parabola…

A: First, find the point of intersections of given two equations:…

Q: Cai uses a computer program to resize photos for the school newspaper. She drags the top right…

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Q: 3. (a) Find the coordinates of the points: A, B and C in the figure. A (b) Find the areas of the…

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Q: 1. that has been shrunk vertically by a factor of The shape of y = Preview

A: Given,

Q: Given the graphs of y = 3 + x - x² and y = 2x +1. (A) Identify the points of intersection. Write as…

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Q: e. - 3x -3.

A: First, we draw the lines and draw their region. Then we shade the intersecting region. Note that…

Q: Suppose that candy costs $4 per pound and cashews cost $5 per pound. Let x be the number of pounds…

A: We have given,Cost of candy = $4 per poundCost of cashews = $5 per pound

Q: 2y - 3x < 6. < x < 0. d. :{2x

A: To sketch the region defined by the two inequalities 2y - 3x &lt; 6 and x &lt; 0, we need to…

Q: 9) Consider the region bounded by the graphs of x-B =0 and x=y² -D a. Solve for the points of…

A: The equation x-B=0 is the equation of a line with the slope as 0 and the x-intercept as B. It will…