c. Based on the orientation of your rectangle would we integrate with respect to x or y? С.

Q: 4- The centroid of the shaded area is required to lie on the y-axis. Determine the distance b that…

A: Answer is mentioned below

Q: If R is the disc with center at the origin and radius 5 then the numerical value of Lxds R xdA is…

A: We have to find the numerical value of  ∫RxdAwhere R is the disc with centre at origin and radius 5.

Q: Evaluate ||E y²z² dV, where E lies above the cone o and below the sphere p = 1. = T/3

A: Given, ∫∫∫Ey2z2dV   ....(i)Let x=ρsinϕcosθ y=ρsinϕsinθ and z=ρcosϕAnd we know…

Q: 1) The design for a rubber bullet is shown below. What is the Center of Volume (X , ỹ, Z) for the…

A:

Q: If KN=2x+1 and NJ=3x+5, what value of x makes point N the centroid? K, J M

A: (1).   If in the given triangle N is the centroid then the point N divides the line HL, JK and LM in…

Q: (7) Let D be the solid above the cone z = r and below the sphere of radius 2, and let fla, 4, 7) =…

A: To convert the cartesian coordinates into cylindrical coordinates put  And the integral will be…

Q: In isosceles trapezoid JKLM, JK = 7x -8, JM = 4x +7, and ML = 5x + 2. What is the length of JM? A. 5…

A: Given that: JK=7x-8,     JM=4x+7   and     ML=5x+2 An isosceles trapezoid JKLM, In isosceles…

Q: What is the radius of the given contour C : |z + 7i| = 8 + 6, 0

A:

Q: B. Evaluate sin z z²+j2z dz, C the boundary of the square with vertices ±1, tj clockwise.

A:

Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to

A:

Q: In AABC, X is a centroid. If AX = 6 units, calculate XE. E D B A

A: topic - centroid of a triangle

Q: Suppose z = e23"/4 and w = 2e"/4, find 2 and express your answer in rectangular form. %3D

A:

Q: What is the radius of the given contour C : z+ 6i = 9+ 10, 0 < 0 < 2n ?

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Consider the following cylinder in R° and complete parts a. and b. below. z-y° = 0 a. Identify the…

A:

Q: Use cos(t) and sin(t), with positive coefficients, to parametrize the intersection of the surfaces…

A:

Q: Find the points on the cone z? = x² + y? that are closest to the point (3,2,0)

A:

Q: In ADEF, C is the centroid. E If DM = 39, find DC and CM DC = units CM = units

A: Centroid cuts the line segments through it in the ratio 2:1  Where Larger part is that from the…

Q: In ADEF, C is the centroid. E If CM = 19, find DC and DM. DC = units DM = units

A:

Q: What is the radius of the given contour C: z+ 4i| = 2+ 7, 0 < 0< 2n

A:

Q: Suppose that the Celsius temperature at the point (x, y, z) on the sphere x2 +y? + 2? = 1 is T =…

A:

Q: Given ZV = 15, What is the distance from ZW %3D

A: Here ZV=15; we have to find the ZW =?

Q: If M is the centroid of ABC, AM=44, CE=54 and DM=23 find each missing measurement.

A: The given figure is

Q: Evaluate dV, where E lies between the spheres x + y² + z? = 16 and E x2 + y2 + z2 r + y + z 64 in…

A: Follow 2nd ,3rd step .

Q: Evaluate dV, where E lies between the spheres x2 + y? + z2 = 4 and x? + y? + z² E x² + y? + z? = 36…

A: x​=ρcosθsinϕ y=ρsinθsinϕ z=ρcosϕ ρ2 = x2+y2+z2 ​

Q: 5/10 Determine the coordinates of the centroid of the shaded area. y * = ky? a b.

A: Given:

Q: What is the radius of the given contour C : |z+ 6i| = 9+ 10, 0 < 0 < 2T ?

A:

Q: YZ is the base of an isosceles triangle; XA || YZ Z1 = 2 Given: Prove: A 2

A: Given: YZ is the base of an isosceles triangle XYZ. YZ is parallel to XA as shown in the given…

Q: Evaluate tot? xe*< + y2 + 22 dv, where E is the portion of the unit ball x2 + y² + z2 s 1 that lies…

A: Triple integral

Q: Find TN and B for the carve at the indicated pont r(() = (t,t,e') at (0,0,1) T= B= ?

A:

Q: 3. Given that g(r, y) = x² + y? subject to ry = 1, show that g(x, y) has no maxi- mum points. (Hint:…

A:

Q: Evaluate fff(x +y +:' dV, where a is the solid hemisphere (half of the sphere) enclosed by x +y+ =1…

A: Here in the given question, find the integration of the given function:∭Dx2+y2+z232dVWhere Ω is the…

Q: Use one of the formulas in the equation A = f. x dy = £. -ydx = } Þc x dy – y dx to calculate the…

A:

Q: Evaluate I= e 2x/y dA, where D is the rectangular region described by 0<x<4 In (10), and 4sy<8.…

A:

Q: 9. Given the following equilateral triangle with a circular hole as shown, where would the centroid…

A:

Q: 10) Given: Rectangle ABCD with EF perpendicular to BD at G. Prove: AD EB = EG · BD %3D A B FL

A:

Q: O is the centre. EO = /3 . OF = 2 and OE I DF. Calculate the length of DE. (b) %3D F. E V3 2]

A: From the given problem:   EO=3 ;OF=2  OE⊥DF.   As we know that perpendicular from the center of the…

Q: (a) Find the point of intersection between the curv urve r(t) = (cos(at), sin(at), t²) and the…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: F(x,y, z) = xi+ yj, and S is hemisphere z = V1– a² – y?

A: In this question, we find the flux across the surface by using a surface integral. flux=∫∫sF.Nds

Q: B. Evaluate sin z z²+j2z dz, C the boundary of the square with vertices +1, tj clockwise.

A: Evaluate the integral ∮Csin zz2+j 2z dz, where the path C represents the boundary of the square with…

Q: moves along iine ield x, y, z) = z?i + + 4 s' Theorem to finc

A: The work done is the line integral o the force along the given path C, W=∫CF.dr Apply Stokes…

Q: Consider the following cylinder in R. x? + z? = 1 a. Identify the coordinate axis to which the…

A:

Q: Blid E8ne thất iš čut up into 2 section 4 and B, such that section A is a cone similar to the…

A:

Q: Evaluate dV, where E lines between the spheres a+ y + z = 9 and E 2 + y2 + z? x2 + y? + z2 = 16 in…

A: The answer is in step 2

Q: What is the radius of the given contour C: |z+5i| = 7+7, 0<0< 2n

A:

Q: In the rectangle KLMN, with lengths KM = 10x + 24 and LA = 32. Find the %3D %3D value of x. O x = 8…

A:

Q: GIVEN: BD bisects ZABC DE 1 BÁ and DF 1 BC PROVE: DE = DF E В F C

A: Given: BD bisect ∠ABC, DE⊥BA, DF⊥BC According to given figure in ∆BDE and ∆BDF ∠BED=∠BFD…

Q: 1) A) Find the area of the portion of the sphere x? + y + =9 lying inside the cylinder x2 + y? = 3y.

A:

Q: Evaluate z dz, where the contour C goes from z = 0 to z = 1 to z = 1+i.

A: