Evaluate the integral. 7y° V8- 7y* dy y18-7y* dy =

Q: Verify if div(curl F) = o for = (x - y) i+ (x +y)j+zk.

A:

Q: Find the dot product of TH x = and y = 3

A: To find the dot product of two vectors, you multiply the corresponding components of the vectors and…

Q: 1. Find the area between y intersection points. = 3x²+2x+1 and y = 7x+2. Use technology to find the

A: Area = 4.1678 square unitsExplanation:Given curves:y=3x2+2x+1y=7x+2 The curves can be plotted as…

Q: For an area A in the x-y plane, in the expression I₂ = Ix+ly, the term /₂ is the: Minimum…

A: Introduction : As per definition, The polar amount of inertia is the total sum of the moment of…

Q: Find length of the cardioid r-a03from 0 0 to 0 t %3D

A: To find Length of cardioid r=aθ3  where θ=0 to θ=π

Q: 8. FLYE is a kite with FL = LY. Find w, x, and y. 34 cm 30 cm 16 cm

A: According to question FL=LYAnd we have to calculate the w,x,y

Q: 2. Sketch the cylinder y = x² +1.

A: complete graph provided below with python code Explanation:  code behind above :  import numpy as…

Q: the Area under tro choid one arch of the ( = 70-1sine. 1Sine, y= 1cose

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Q: Calculate the area of the shaded part y = x + 3 and y = x³ – 3x + 3. y3x+3 Area 1 Area 2 (2, 5) + y…

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Q: Graph the cardioid r = a(1+ sin®), a< 0?

A: We are given that r=a(1+sin∅), a&lt;0 Here as we know that sin∅ is always greater than equal to -1.…

Q: Find the larger area formed by x² + 3y² + 7x = 3 and 2x² – 6y = 5.

A: Integration of function expression under certain limits give the value of area between function…

Q: Solve for the centroid coordinate

A: Solve for the centroid coordinate

Q: Evaluate | exp(-2²)dx, using an iterated integral and polar coordinates.

A: Using Cartesian coordinates to polar coordinates.

Q: Determine the y-coordinate of the centroid of the shaded area. x = ky? I---x

A: The given problem is to find the y coordinate of the centroid of the given shaded region. Shaded…

Q: de

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Q: Find the points of intersection between r =2 cos20 andr=- %3D 1- cose

A: To find the intersection point two curve we have to find r,θ by solving given curve.

Q: Locate the centroid x and y of the area. У T 4 m y = 4 16x² - 8 m- X

A:

Q: 0z7 Sketcu in Polar

A: Polar form of straight line .

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3