Find the centroid of the region bounded by the curves: y = 2x – x² and y = x

Q: Evaluate fv*+1dx x2 A. 를 (1 +즐)를 -를 (1+ 즐)를 :. 를 (1-즐)를 -를 (1-2)를 + C + C + C D. + C Evaluate the in...

A:

Q: Find the distance between the point and the line given by the set of parametric equations. (Round yo...

A:

Q: Reciprocal Substitution – x³ )/3 dx

A:

Q: problem

A:

Q: 4. Consider a lake of constant volume 12200 km³, which at time t contains an amount y(t) tons of pol...

A:

Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying ...

A: Solution We have to find the Surface area generated by revolving about the y-axis the part of curve ...

Q: QUESTION 10o Select each convergent series from the options below. No work required. 1 n=1 5 n=1

A: P-Test: The series ∑n=1∞1np converges if p>1 and diverges if p≤1 The series ∑n=1∞rn converges if ...

Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e* +...

A:

Q: : Solve-Using D-operator dy dx + 3y – 5x - e-t = 0 dt %3D dt dx dy 2- dt +x +y-3 = 0 dt

A:

Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

A:

Q: B. What is the derivative of y with respect to x if y2 – x² = 4? Justine Ashley y? – x² = 4 y? = x2 ...

A:

Q: Sketch the region whose area is given by the definite integral and then use a geometric formula to e...

A: Given

Q: 9. Sketch the solid obtained by rotating the region underneath the graph of the function f(x) = Vx2 ...

A: The answer is in step 2.

Q: Convert the equation   f(t)=234(0.92)^t to the form  f(t)=ae^kt

A: This question can be solved using the properties of natural logarithm.

Q: Let z = ax'y + bx'y?, with a and b constant. P is a point given by (1, 1) and it is known that dz (Р...

A: Given

Q: Find the area of the region bounded above by y = x + 1 and below by y = x3 + 1. AY 2.5 1.5- 0.5 0,5 ...

A:

Q: Evaluate S Vx+1 dx (1 + } -(1 + i (1-5 D. - (1-5)i A. + C C. + C B. + C + C

A:

Q: 1 1 Arc sin- xdx 2 0,

A: ∫01arcsinx2dx

Q: Corsider the surfaces S : (x – 1)2 + (y – 1)? = 1, S2 : 2² = y, S3 : a² = -(z – 1) S4 : x + z = 1, S...

A:

Q: Evaluate f sec x dx.

A:

Q: dx Evaluate: S sin'x A. 3tanx с. tan?x + C tan x 1 + C tan 2x tanx + C tanx в. D. 2tan?x 3tan?x A C

A:

Q: if y = a sin x Prove a +b CosX a cos + b %3D 2 (atb cosx) 11

A:

Q: Use the Root Test to determine if the series (-1)" 2/n en? (2n² – 1)" - n=1 converges or diverges.

A:

Q: Find the area of the region that lies inside both the curves r = sin(0) and r= cos(0). A. (n 2)/4 c....

A: Note:- Final answer is not match from any option i am providing you solution. please check it

Q: Find the area of the region bounded above by y = 6x - x2 and below by y = 2x. AY 10- 8 6 4 2- X -10-...

A:

Q: uestions: A) find the indefinite integral of the function y = 3t^2 + 2e^3t + 1/t + 2cos3t? B) calcul...

A:

Q: We have from part (a) that f(x) = 3x- 8 x +8 r-l(x) Sketch the graph by plotting the lines of f(x) a...

A: Find your answer below 

Q: Find the area under the graph y 2x + 3 on the interval -1, 2). 2]. AY 8- 71 6. 4 ++H+ 54 3. 1 234 5 ...

A:

Q: Evaluate " edx B. 3 A. 1 C. 2 D. 4

A: To Compute :  ∫0∞e-13xdx

Q: ds V9-s 9-52 + C 95 9s + C A. C. B. D. + C 95 69/

A: Given: I=∫dss29-s2   ...1   We know that, the trigonometric identities. 1). 1sinx=cscx 2). sin2x+cos...

Q: Approximate the area under the curve of f (x) = x² +3 from 0 to 4 using the Midpoint Rule with n = 4...

A:

Q: Given three points A(4, 3, 2), B(-2, 0, 5), and C(7, -2, 1). a. Specify the vector A extending from ...

A:

Q: olve the initial-value problem 2xy = In x, y(1) = 2 t? + 3u, t> 0, u(2) = y + x² sin x, y(7) = 0 dy

A:

Q: the given double integral the indicated Compute rectangle: ex 4x-1 over SS- dA R = [-1,0] x [1,2] A....

A: Let's find. 

Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

A:

Q: Perform the integration:[-cos 6x0dx tanx-x+C 1+cos 6x A. c. tan3x-x+C B. --tanx-x+C D. tan3x-x+C

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: The tetrahedron with vertices P-3,2,0, Q2,1,-3, R1,0,1 and S3,-2,3

Q: dx Integrate: J. 3n B. A. EIN

A:

Q: sin(-4x) cos 3x dx 1. 3

A:

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

A:

Q: Find the area bounded by the curve xy = 2 and the line x+y = 3. A. 0.17 sq. units B. 0.11 sq. units ...

A: Given problem:- Find the area bounded by the curve xy = 2 and the line x+y= 3

Q: ds s2V9-s? V9-s2 9s

A: Please refer to the image below

Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

Q: Solve the equation y' + y · tan (x) = sec(x) Ans y sec(x) = tan(x)+c %3D

A:

Q: A circular plate of 9m radius is submerged vertically in a tank of water so that its top is 4m to th...

A:

Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (-1, ...

A: Find your answer below 

Q: Find dy/dx of the following function. Implicit differentiation x3 + y3 = 8

A: Differentiation on both sides

Q: Find the differential dy of y = tan x for x = π/4 and dx = −0.1.

A:

Q: Classify and Solve; Find the complete solution for the ODE ( D³-5D²+8D-4),y=e²x +2e+3e*)

A: This is a problem of differential equation. Total solution of this equation is sum of complimentary ...

Q: 11. Use the Shell Method to calculate the volume V of the solid obtained by rotating the region unde...

A: