10) y7 exbx

Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: Given : Let I be a proper ideal of the commutative ring R with identity. Then I is a _______ if and…

Q: Find Fourier sine series of f(x) = 4x on - L≤ x ≤ L

A:

Q: (x² - y²)²] 1²₁ 1² du du dt x+y Evaluate: ₁ S

A: Given ∫-13∫02x2-y22x+ydudt Since x2-y22x+y is constant with respective u and t, we take constant out…

Q: 5x 2 Evaluate: f²f3³xdz dy dx 0 2

A: Here is the solution:

Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: 3 4. Find the length of the curve y = 7(6+x) 2 from x = 189 to x = 875. Submission status

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to 8 = 112t -…

A: We have to choose correct option

Q: 7) y = exz 8) y = 3 x ²

A:

Q: 5. Determine the roots of y"" - 3y" - y' + 3y = 0 a. 1, 1, 3 b. 1-1, -3 c. 1, 1, -3 d. 1,-1, 3

A:

Q: Evaluate the integral: f/2 sin(4t-u) du dt

A: To evaluate: ∫π2π∫0tsin(4t-u) du dt

Q: Evaluate sin (x) e-x dx by use Simpson's rule. h=0.5

A:

Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given

Q: Water is flowing into a conical vessel 18cm deep and having a diameter of 10cm across the top. If…

A: We have to find the rate of volume.

Q: -3 (x² - y²)²] Evaluate: ₁²² x+y du dt

A: Given

Q: 1. Simplify. Write "undefined" for expressions that are undefined. 1 -6 030-0 [B]- 4 + 5 -2 4.)

A: To simplify.

Q: Determine the roots of y"" - 3y" - y' + 3y = 0

A: The given differential equation is: y'''-3y''-y'+3y=0   So, we can also write as; D3-3D2-D+3y=0

Q: The value of A. +3+2x² +C C = 1 + x² +2+C 20 [ (² + 3) *²x² dx B.+²+3x³ +C D. none of the answers

A:

Q: Evaluate: xy² dx dy

A:

Q: 1. I. -5 3 Evaluate each determinant. -3 -4

A:

Q: The derivative of y with respect to a given ¹ = 1 is Oy' = yx²-¹ O y'= 0 Onone of the choices Oy' =…

A: I have stated the used formula in the solution.

Q: y=u² +2u u=v² + 2v v = x² + 2x

A:

Q: Prove that dx x(1+x²) 5 = lnx - 1²/2² (₁4²2²2) + ( C. +x²

A:

Q: 5. Use Cartesian coordinates to evaluate Jff ² av JIJ where D is the tetrahedron in the first octant…

A:

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A:

Q: Evaluate: xy² dx dy S

A: Given: ∫04∫0yxy2dxdy

Q: The value of | Je A. -sin-¹ (ex) + C C. sin-¹ (e) + C dx 2x B.-sin-1 (e-2x) + C D. sin-¹ (e-2x) + C

A:

Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: The given curves are y=x3 and y=x.   Now find the point of intersection between the given curves.…

Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: (1) we have to fill in the blanks Let I be a proper ideal of the commutative ring r with identity.…

Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

A:

Q: cos x(sec x + tan x)dx

A: Given ∫cosx(secx+tanx) dxTo evaluate the integral:

Q: Evaluate: ³²₁₂[z³(x + y)³] dz dy dx

A: Given, ∫-43∫-12∫01z3x+y3dzdydx

Q: Evaluate the integral: 2² sin (²) dt du

A: To evaluate the integral: ∫π2π∫0u2sintudt du

Q: I. 7. Evaluate each determinant. -3 4 -5 2 -3 -5 1 3 5

A: To evaluate the determinant -34-52-3-5135

Q: So So t² etu du dt

A: Given, ∫03∫0tt2etududt

Q: -2 Evaluate the integral: ² ft² n s teu du ds dt

A:

Q: Z4 e: 2₁₁ (4x²yz - ) dz dy dx 1 4

A:

Q: Evaluate: ³²₁ [2³(x + y)³] dz dy dx

A:

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

A: Let's find area of region bounded by given curve and y axis.

Q: 2 t √3u Evaluate the integral: №³4 524 4²2 ds du dt s²+u²

A:

Q: II. Find the inverse of each matrix. -9 6 2. 4 -8

A:

Q: Solve the given differential equation. All solutions should be found. dy e5x+11y = dx NOTE: Use c…

A:

Q: -3 -t Evaluate the integral: Soft²eu du dt е

A:

Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A:

Q: Evaluate: ²₁² [(x²-²²] du dt x+y

A: On solving this we will get

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 13x)y², y(0) : =…

A: Given,dydx=(1-13x)y2                     y(0)=-16

Q: x = e¹0t y = t³ Which integral gives the arc length of the curve over the interval from t = a a to t…

A:

Q: Evaluate: ₂₁(4x²y — z³) dz dy dx-

A: ∫03∫-24∫104x2y-z3dzdydx

Q: Evaluate: ₁₂₁(4x²y — z³) dz dy dx J1

A:

Q: Solve the general solution of the following Linear differential equation: y' = x - 2xy

A: Let us consider a differential equation of the form, dydx+P(x)y=Q(x) So its integrating factor is…