Find the x and y coordinates of the centroid of the shape shown below via integration.

Q: Find the magnitude of vector PQ ,where P(2,29) and Q(-2,-1).

A:

Q: Use the given coordinates obtained from a straight graph and calculate the slope of the graph.…

A:

Q: At a point on the ground 49.9 feet from the foot of the flagpole, the angle of elevation to the top…

A: In a right angle triangle tanθ =Perpendicular Base

Q: On more than two vectors. The first has a standard of 11m/s, the other a standard of 3m/s. All…

A: Given, resultant of vector A(say) = 11m/s resultant of vector B(say) = 3m/s So, sum of these two…

Q: A curve in three dimensional space is parametrized as F(u) = cos(u)i + sin(u)j + cos(3u)k, и є [0,…

A:

Q: Add a third cable to this diagram originating at point A and extending up to the wall that B and C…

A:

Q: Find the angle of the force referred from the x-axis (possible value 0° ≤ θ ≤90° ) and describe its…

A: To find : the angle of the force referred from the x-axis (possible value 0° ≤ θ ≤90° ) and describe…

Q: show that the function y(x)=Ax^n (A and n are constants) will give a straight line on a log-log…

A: The provided function is expressed as y=Axn

Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…

A:

Q: The 3X3 matrix which is being made is having axis coordinates, point coordinates and the force…

A: Axis coordinates, point coordinates, and the force coordinates

Q: (a) If G(x)=x²-7x + 7, find G'(a) and use it to find equations of the tangent lines to the curve y =…

A:

Q: Find the arc length of the space curve given by the vector function r (t) t3 i + t2 j + (2t + 1) k…

A:

Q: Determine the magnitude of the following cross product: ( 11 7 +57 ) X (27 +57)

A: Given: The vectors are 11i+5j and 2i+5j

Q: Define the cross product of two(2) vectors on a plane and describe their application with respect to…

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A:

Q: How do I find the area of a parralelogram with two given vectors

A: If we have two vectors, say vector A, and vector B, the magnitude of this vector's cross product…

Q: What is the angle between the two vectors i + 2j - 3k and 3i + 2j + k? Round your answer to the…

A:

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: Solution:-

Q: Consider the following 2D vector given in component form v = (5.8,7.2). At what angle is this vector…

A:

Q: The density of a spherical solid at a point P = (x, y, z) is given by f(x, y, z) = c(x² + y² + z²) ,…

A: The density of spherical solid at any point P(x,y,z) is given by,  Therefore, the density at point…

Q: Magnitude of the integral Now Consider the vector i = 4tî – 6tĵ. For this vector evaluate each of…

A:

Q: For any two nonparallel and non orthogonal vectors a and b with angle between them, it holds that…

A:

Q: The resultant vector R = 9A + 5B + 2C where A = 5 i + -2 j + 7 k ; B = 6 i + 8 j + -7 k and C = -6 i…

A: It is given that :

Q: a certain corner of a room is selected as the origin of a retangualr coordinate system. A fly is…

A: Write the given values with suitable variables. x=3.7y=1.3

Q: Show that a set of vectors V (not containing the 0 vector)is linearly dependent if and only if there…

A: Let’s consider the following sets of vectors,

Q: Problem 2: Using vectors, prove that the sum of the squares of the four sides of a paral- lelogram…

A:

Q: Find the centroid of the region bounded by the set of curves

A: Area Bounded by the Curves:When area bounded by curve and line has to be identified, then the…

Q: Describe 2-dimentional vector addition for any scenario? Put your bes example over here.

A: Vector addition in two dimension Let us consider two vectors A →and B→, such that they are oriented…

Q: Can you further explain the step 2 (the quadratic equation) and

A: horizontal velocity = V0X =  3.5 m/s height = h = 5 m initial vertical velocity = V0y= 0 m/s

Q: The Cartesian coordinates of a point in the xy plane are (−3.3, −3.8). Find the polar coordinates of…

A:

Q: Evaluate the matrix for Lx for l=1

A:

Q: The resultant of two vectors is 20 units long and makes angles of 20o and 50o with the two vectors,…

A: Given, Length of resultant,R=20 units Angle of resultant with vectors,θ1=20°,θ2=50°