Find the area of the plane region bounded by the given curves: y= x, y= 2x, and x+y= 6

Q: S 3p? tan p dp

A: To integrate.

Q: (3,2,4) m = i +j+k r2: А %3D (2,3,1) В %3D (4,4,1) r: A = (a) Create Vector and Parametric forms of…

A: Given problem:- r₁:  A = (3,2,4) m=i+j+k r2 : (2,3,1) B = (4,4,1)   (a) Create Vector and Parametric…

Q: (t- 1)* 24 24 4 24 24 4 1 85 84 g5 84 82 O Option 1 O Option 2 24 24s 12s² + 4s3 + s4 12s2 + 4s3 + s…

A:

Q: əz az A. For each of the following functions z, find - and дх ду 1. z= sin3x cos4y 2. z = tan-1 (2)…

A:

Q: 2. Evaluate the given line integral, (x – y, y) · dR, where C is the line segment from (0, 1) to…

A:

Q: Evaluate the indefinite integral, ſx² sinh x³ dx.

A: To evaluate: I=∫x2sinh x3dx⇒I=∫sinh x3  x2dx

Q: x dx V3-2x-x

A:

Q: Let N1 (h) be the approximation of f'(xo) with some numerical differentiation scheme depending on h.…

A:

Q: dx 4x2 -8x + a a. S そ m 14cx-0+51+ s5 tom'/22 4 -2 b. I m1a(x-1)"+51-55 toni" )+c Ciln14 Cx-1)+sl+…

A:

Q: Solve for the general solution using homogeneous

A:

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

A:

Q: 2y(x? — у + х)dx — (x2 — 2у) dy %3D 0

A: I think mistake in question inplace of -ve sign.

Q: dx x³ Vx² – 9

A:

Q: dx 4xvx²-16

A:

Q: Using Linear Approximation, determine the approximate value of the following: Final answers must be…

A:

Q: 3s 14 82-4s +8 - 3e cos 2t + 4e2" sin2t 3et cos 2t –4e2" sin2t - Option 1 O Option 2 4e2t cos 2t +…

A:

Q: For each of the following functions z, find and ду 2. z = tan-1 (2)

A: We have to find partial derivatives of z with respect to x and y

Q: 3s + 2 4s2 + 12s + 9 3 4 + 4 stet 3 2 Option 1 Option 2 3 2 4 + tet 4 3 2 Option 3 Option 4 None of…

A:

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

A:

Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

A:

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

A:

Q: m'+4m (1-m*)7

A:

Q: Current Attempt in Progress Evaluate the definite integral two ways: first by a u-substitution in…

A:

Q: -2 2 dy 7e" + 5. -5

A: Given :∫-5-27ey+2ydy

Q: 4) By Diskuethod Detremin the volup Hiw Dx=1 and lnes y=1 aboat x=0 2) fex) = x? and line y:1 in the…

A: Given

Q: Use the method of cylindrical shells (do not use any other method) to find the volume of the solid…

A: Volume of solid bounded by y=f(x), x axis and  x=a to b is given by below:

Q: If a > 0 and [[ 20*+v 20+u° dr dy = 1(e* – 1) , a =?

A: Using polar coordinate evaluate the above integral

Q: Use Method of Variation of Parameters: [D² - 8D + 16]y = e4Xsec2x

A:

Q: 12. A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 f/sec. Assume the…

A:

Q: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

Q: 2. (D² + 4)y = 5e* - 4x

A:

Q: 3 c2x S *x² dy dx 4.

A: Integral

Q: 2. Consider the function 2r2-9r-18 f(r) r2-r-2 (a) Sketch the curve y f(r). (b) Find the area of the…

A: Let's find.

Q: dr

A:

Q: (a) The equation of motion for a moving particle is s(t) = t³ – 3t, where s is in meters and t is in…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use Method of Variation of Parameters: [D2 - 8D + 16]y = e4Xsec2x

A:

Q: Find the curvature of the curve 7(t) = (3 cos(t), 3 sin(t), 3t) at the point t %3D Give your answer…

A:

Q: t2, -8 + 3t, g(t) = l(t -6)* + 2 cos (: -). – 6)? + 2 cos (-),

A: answer is in next step

Q: y = e* – axis. and the x - axis is revolved about the y

A:

Q: Use differentials to find the approximate value of y: (2x – 1)* when x = 0.98. O (E) None of the…

A: Given :f(x)=2x-14x=0.98

Q: 3/1- The table below includes data from a study that was applied to five people to measure weight…

A: for disperesed of data we have to find median for weight 59 65 65 67 69 here odd number of…

Q: Integrate sze" • fa". de Answer:

A: We have to find the integral

Q: Consider the solid obtained by rotating the region bounded by the given curves about the specified…

A: Since you have posted multiple questions as per guidelines we can solve only one question at a time…

Q: 1 (s+1)(s2 +1) + cos t - sin t) + cos t – sin t) O Option 4 O Option 2 5(e-cost + sin t) 5(-e+cos t…

A: L-1{ 1/(s2 +1)(s+1)} expand it  L-1 {-s/2(s2+1) + 1/2(s2 +1) + 1/2(s+1)} L-1 s/(s2+1) = cos(t) L-1…

Q: sin 2t sin 5t S 8+3 s+7 O None of the choices O Option 1 20 10 s4 +58s2 +441 s4 58s2 + 441 Option 3…

A:

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x (Use decimal…

A:

Q: aw I. Find ax aw and and ду aw (whenever possible) for the following functions. az x4 3) w = 5x?…

A: In given problem we have to find out partial derivatives of given function w (x,y,z) .  To find…

Q: Suppose the symmetric equations of lines l, and l2 are = 2 – y = z and x = -1, = respectively.

A:

Q: Evaluate the following integrals using Trigonometric Substitution: x-1- 16x dx x 2. dx 9 dx 25t2 - 1…

A:

Q: Find the producers' surplus at a price level of p= $57 for the price-supply equation below. p= S(x)…

A: