Question 20 Evaluate the integral. TT/4 (8 cos ti +9 sin tj) dt -TT/4 O 9N2 i O &2 i+92 j O &V i

Q: Question 1 Find the centroid of the given region. y-2- A (8/23,76/111) B (5,15) (c (3/22,45/61)…

A: The expression for the centroid is: For the x coordinate of the centroid: x=1A∬xdydx  For the y…

Q: Question 8 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+y…

A: Application of integration

Q: VI 23) Consider the region in the second quadrant between the ciréies X²+y?=4ard x?7y==25 ?-25, and…

A:

Q: H.W: Evaluate the integral 3 0 2π π 5. || (sinx + cosy)dxdy

A:

Q: Find V × (V × F) if F(x, y, z) = 9xyj+10xyz k. V x (V × F) =|

A: We have to find given expression.

Q: b. In x? dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: dx (x- 3)

A: As per our guidelines, we are supposed to answer only one question. Kindly repost other questions as…

Q: Let f(x) = 2(x − 1)^2 (2x + 1) be a function. Find all critical numbers of the function and…

A:

Q: 4x d.x J V3 - 4x – 4x2

A:

Q: Find V. (V × F) if F(x, y, z) = 8 sin xi + cos(3x –- 4y)j+ 4zk. V.(V × F)

A:

Q: 2.) Sž sin"(x)dx

A: sin2x +cos2x =1 dcos xdx=-sin x ∫un du = un+1n+1+C

Q: sin e = If and 0 in the first quadrant, find Cos 20

A: A detailed solution is given below.

Q: 2. dy dx

A:

Q: x³ Jx² +3dx

A:

Q: Evaluate Soni Sm e" sin(e")e dædy cIn 1

A: Integral

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Volume

Q: Question 2 of 4 (x² – 1)(x + 1) (x2 – 2x + 1) :- f (x) =

A:

Q: (a) If f(x)dx = 11 and F(9) = 17, find F(5). F(5) eTextbook and Media 300 (b) If f(x)dx = 0, what is…

A: We have to find the value and the relationship.

Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

A:

Q: Find div F and curl F if F(z, y, z) = 9e#i-9 cosyj+3sin? z k. %3D div F = curl F=

A:

Q: Find the general solution 2x'y - (2x + y) = 0

A:

Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 74-kilometer mark…

A: Solution is done in step 2

Q: Н.W (1) Solve the following differential equations of dy 2 - - (1+y*)e* dx 1- ye** . dy = dx; x+y…

A:

Q: 1 Without a table of values and using index laws, sketch y 2*-

A: y=12x 2-1 y=12x2 y=22x

Q: Hello, may I ask how was this part obtained? Why are there A and B? This part wasn't on our lesson…

A: This part: 4v+24v-1v+2=A4v-1+Bv+2 is called partial fraction decomposition. Using this we make two…

Q: letter b

A:

Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

A:

Q: Evaluate the values of x, y and z of the three equations three unknowns : 4x - 2y + 6z = 8 2x + 8y +…

A: Given: 4x-2y+6z=82x+8y+2z=46x+10y+3z=0

Q: Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become…

A: We have to find the underestimate and overestimate

Q: Determine the vector field of F. F(x, y) = yl – x) 1.

A: Vector field

Q: Find div F and curl F if F(x, y, z) = 14y°z°i – 10x°z°j – 5xy°k. 35: 6.8 - div F= curl F=

A: We have to find div F and curl F.

Q: Use the Table of Laplace Transform to find the Laplace Transform of the given function. a. te-3t b.…

A: As per our guideline, we are supposed to answer the only first question with 3 subparts to get the…

Q: Match the equation with its graph. x2 y2 = 1 9. 9 16 6. 2 y 56 -3 41 2 -5 3. 3. -3

A: We want to identify the equation.

Q: -Find Taylor or Maclaurin for the following functions: 1) f(x) = sin 3x

A: In this question we can find the Maclaurin series for the function. Maclaurin series for the…

Q: Write the binomial expansion for the following expression. (1*+1) 5 (1* +1)° = (Simplify your…

A: To write the binomial expansion.

Q: Find the indefinite integral. 17 dx +C

A:

Q: M-2-Sin(X y) nd dm dt X = t. yclint Z=et-1

A: Differentiation

Q: Find the derrivative of a function f(x) = 2

A:

Q: Solve the following differential equations of e • dx+2(xe" – y)dy = 0;

A:

Q: 2. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

A: Area

Q: Describe the graph of the equation. r= (5 - 31) i - 10:j O tis a line in 2-space that goes through…

A: This is a problem related to vector. Based on the general formula and concepts we will answer the…

Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

A: Cost

Q: 91 (x). いz 16 モtuて X ultブ -(り+ X uft-) こtれてXutラ =()(つ 3-(x)ナ( zn+1 (6トフ3×マ A) flx)= x?m 167x2 power…

A: Let's find.

Q: Differentiate the following functions: 1) f (x) = 5 2) f (x) = -2x 3) ƒ (x) = -2x + 2 -2r +2 %D

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 19. dr V4-a 20. dr 21. 2)

A:

Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

A:

Q: Find curl (3z i + 4x j+ 7y k). curl (3z i+ 4x j+ 7y k) = ( i )i + ( i j+ ( )k

A:

Q: A forest has a population of cougars and a population of rabbits. Let æ represent the number of…

A: A detailed solution is given below.

Q: 2) 2x2 csck) dy d X M) y'= Xe'Vx-2

A:

Q: Have a look at the following graphs and write the mathematical notation of the following definite…

A: