(c) Find the area of the pentagon with vertices (0, 0), (5, 1), (1, 2), (0, 1), and (-2, 1).

Q: Calculate F. dĩ, where C is the square of (1,1, 1), (–1, 1, 1), (–1, –1,1) and (1, –1,1), with…

A:

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y 2 and - y = c² – a? is 90.

A:

Q: f (x, y) = x² + y² – 2x, D is the closed triangular region with vertices (2, 0), (0, 2), and (0, –2)

A: According to the given information, it is required to find the absolute maximum and minimum values…

Q: Iculate O F- dĩ, where C is the square of (1,1, 1), (–1, 1, 1), (–1, –1,1) and (1, –1,1), with…

A:

Q: Find the distance between the planes 5x- 3y +z = 6 and 5x-3y +z = -7. Need Help? Read It

A: Distance between parallel planes

Q: Draw a figure that shows the image of the triangle with vertices (0, 0), (1, 0), and (1/2, 1) under…

A: It is given that the vertices of the triangle are 0, 0, 1, 0 and 12, 1. We have to sketch the graph…

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² - c² and y = 2²-² is…

A:

Q: Find c > 0 such that the area of the region enclosed by the parabolas  y = x2 -c2 and y = c2 - x2…

A: Explained below

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x? is…

A: We have to calculate the value of c for c>0 such that area enclosed by the parabolas.

Q: Find the absolute maxima and minima of the function on D, where D is the closed triangular region…

A: For finding the absolute maxima and minima values  Substitute the values of a vertices of a triangle…

Q: 8. The distance between the planes 2r -y-2z 5 and 2r - y- 2z = 7 is A C 2 D 4

A: As the planes are parallel than for calculation distance between planes we use formula:…

Q: (d) [[x - y dA where R is the triangular region with vertices (3, 10), (3, 0) and (-2, 0).

A: Use double integral

Q: Find the values of such that the area of the regionbounded by the parabolas  y  = x 2 - C 2  and…

A: given : the two parabolas are: y=x2-C2y=C2-x2 the area bounded by the parabolas is 576.

Q: Find the area of the region bounded by the parabola y = 1 – x², and the lines y = 2, x = -1, and x =…

A:

Q: EX Find the reglon in the z-plane represented bye

A: Given

Q: Find the area of the triangle bounded by the lines y = x, y = -x, and y = 6?

A: The given equations of the lines are y=x, y=-x and y=6. Draw these lines and obtain the bounded…

Q: (x² +2y) where D is the triangular region with vertices (0, 1), (1,2) and (4,1).

A:

Q: Find the region bounded by the parabola x = y - 8 and the line y = x - 12. O 163.5 121.5 103.5…

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Q: 5. Evaluate f (x²zdx – yx²dy + 3dz) where C is the boundary of the triangle with vertices (0,0, 0),…

A:

Q: Find the area of a triangle bounded by the y axis, the line f(z) 1 z, and the line perpendicular to…

A: Area of triangle = (1/2)*base*height

Q: 1. Find the area of the trapezoid on the graph. T -7 -6 -5 -3 -2 -1 0 1 2 4. -2 -3 3. 1.

A:

Q: 26. ƒ(x, y) = ye*; R is the rectangular region with vertices (0, 0), (In 2, 0), (In 2, 3), (0, 3).

A:

Q: Find the dimensions of the rectangle enclosed in the semicircley = V16-x with the largest possible…

A:

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² − c² and y = c² – x² is…

A:

Q: Calculate H formed by by the 3-2 %3D the region:

A: Given regions are y=x2, y=3-2x, x axis.

Q: The base of a three-dimensional figure is bound by the graph x = y³ and the y-axis on the interval…

A: In this question, we need to find the area of each rectangle and not the area of the complete…

Q: What are the perpendicular generators on (D) 좋 =3 %3D2 (P) 16 2. of the surface

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Q: 4y² dA, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

A:

Q: dA where R is the quadrilateral with the 5: Evaluate RI+y vertices (1,0), (4,0), (0,1), (0,4) using…

A: The solution are next step

Q: Consider AB in the coordinate plane below. 10 4. 2. A -10-9 -8-7 l0 1 -1 -5-4-3 -2-1 2. 4. 10 -2 -3…

A: Given: AB¯

Q: When do you use these formulae? Explain briefly. X-X Scaffold 3: X-X a. Z = b. Z = - tion:

A: z score: A z-score represents the number of standard deviations from the mean. It is also called…

Q: Find the area of the region. 3. y = V 16 - y 3- 2 -4 -2 -1F 2)

A: Here the region is bounded by the given curve , y-axis(x=0) and the line x=2 The area under the…

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x² – c° and y = c- -2² is…

A:

Q: ii) under z = x² - y² and above the square R = [1,3] x [-1,1]

A: Please see the below picture for detailed solution.

Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x2 – c2 and y c2 – x? is…

A: Given:-   c > 0 such that the area of the region enclosed by the parabolas C = y = x2 - c2 and y…

Q: Find the maximum value of f(r, y) = 10ry(4 – 8z - 4y) over the triangle with vertices (0, 0), (,0)…

A:

Q: Use Lagrange Multiplier to find the Point P (x,y,z) closest to the origin on the plane containing…

A: The equation of the plane passing through the three points can be obtained using the matrices. The…

Q: Hw-2 If A(X, -2,0),B(-lel,=3)_, C(-4,ile2)_and D(3,0,0)are-points-in Slace thenfind value that…

A:

Q: find the area of the repian inside the Circle =6 and above the line r=3csco.

A: Put both equation equal and find points where they meet

Q: Find the area of S, which is the portion of the plane 2x + 3y + 4z = 28 lying above the rectangle 1…

A: The given equation of plane is: 2x+3y+4z=28 Given condition for the rectangle: 1<x<3,…

Q: Enclosed by the cylinders z= x2 y = x 2 and the planes  z =0 y =4

A: Given: The cylinders z= x2 y = x 2 and the planes  z =0 y =4 The solid enclosed by the surfaces,

Q: Find the area of the region. y- 16 - x y 15 10 5 3 2 2 3

A: The required area is of the region bounded by the x axis and under the curve y=16-x4. The required…

Q: Find the area of the shaded region. O A. 7.5 B. 12.5 8- ОС. 5 O D. 10 (3,7) 6- y = 2x + 1 4- (1,3)…

A: answer = 10   explanation is given in below step

Q: AABC is shown below in the coordinats plane with vertices A4, 2), B(4, 6). and C(6, -2). AABC is…

A: We can find the vertices as below

Q: The base of S is the region enclosed by the parabola y = 6 − 6x2 and the x-axis. Cross-sections…

A: Given curve is Cross-sections of S perpendicular to x-axis are isosceles triangles with height…

Q: Find the value of c > 0 such that the area of the region bounded by the parabolas x² - c and c2 -x²…

A: Sketch the region and integrate in x variable.

Q: Find the area A of the region between the graphs of the equations y2 x2 = 5x 5y = A = symbolic…

A:

Q: Given F(x.y.z) (x+y+Zi +(x-yj+(xz-2)k what is CurlF at the point (1,-1,3)? You should write your…

A:

Q: Compute the convolution y(n) = x(n) * h(n) , Where x(n) = {1,1,0,1,1} and h(n) = {1,-2,-3,4} , Using…

A: Given: Given convolution expression is Y(n)=x(n)*h(n) x(n)={1,1,0,1,1} h(n)={1,-2,-3,4}

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.