write an above Z=X Integral far the Solid x*+y? and è= Tx?. in dzdrdo and dz dydx

Q: Šolid bounded by yzo, xty=2 とこの in first octant write a tiple integral in cylindrical coordinates…

A: In cylindrical coordinates we need a circle in one of the coordinate plane. Here it is in yz- plane,…

Q: (1 – x)y" + y = 0, y(0) = 6, y'(0) = 12

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Q: Find the solution. y'-y = -xy1/2 -ху

A: This is Bernoulli type differential equation.

Q: Find an isomorphism from the group G = to the multiplicative group {1, i, – 1, – i} in Example 3 of…

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Q: 9. Prove that if {fn(x)} converges uniformly to the function f(x) on each of the sets A1, A2, ...,…

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Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = - 400 sin(2t) Y(t)…

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Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: Identify, sketch and name the graph of the equation in R³. Z = 1 – lny

A: Solution:Z = 1-ln(y)ln(y) = 1-Zy = e1-zy - e1-z = 0f(x,y,z) = y - e1-z = 0Traces xy plane (Z= 0) y -…

Q: Find the solution. y" - 2y'- 2y = 0

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Q: Find L10 of the function f(x) = 3* – cos (nx) on [– 3,2]. Explain the Summation Notation you will…

A: here we will find left Riemann sum  ∫abf(x)dx≈∑i=0n-1fxi*Δx    where  Δx=b-anand  xi*= a+i×Δx…

Q: Solve the given partial differential equation a² z %3D dx? at?

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Q: Which of the following is the general solution to the differential equation (3 + 8y³e(3y=x))dy – dx…

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Q: Determine if the following series converges or diverges. *n' + 3n? + 5 4 a. 5n6 — Зп - 4 n=1

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Q: dan Elimination. 1. x1 + x2 - x3 = -2 2x1 - x2 + x3 = -5 -x1 + 2x2 -3x3 = -

A: We solve this system of equations using gauss jordon elimination .

Q: 8. PROVE: Suppose that S CR is connected, and that f : R → R is continuous. Then f(S) is connected.…

A: We want to prove f(S) is connected.

Q: 5. Identify and sketch the graph of the following equations in R. (a) a2 + 2y? + 2² - 8r + 12y – 2z…

A: (a) The given graph is a sphere. This graph does not pass through the XY plane, YZ plane and the XZ…

Q: Derive the formula for the False Position Method

A: Derive using the concept of similar triangles.

Q: c) Find u (v x w) if u = [0,0, p], v = [0, q, 0] and w = [r,0,0]. %3D

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Q: (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y” = 0.

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Q: 2. Rate of calorie consumption. The table below shows the number of calories used per minute as a…

A: Given the table Activity  100lb 120lb 150lb 170lb 200lb 220lb walking 2.7 3.2 4 4.6 5.4 5.9…

Q: 2. Verify the final value theorem for the function 3t²e¬4t and determine its steady state value.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 2. Determine whether the following operators are linear or nonlinear: (McQuarrie 3-2) a. Âf(x) =…

A: The given question 2 is related with linear operator. We have to determine whether the following…

Q: Calculate the curvature and radius of curvature of the graph of the function y = xe

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Q: In Exercises 29-32, a solid is described along with its density function. Find the center of mass of…

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Q: Find the Laplace Transform of h(t) = t? sin(2t) = ='s 3s2-4 A H(s) = (s2+4) 2 482 – 3 B H(s) =…

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Q: Which of the following is the general solution to the differential equation dx %3D 2 (3х + у)2 — 1?…

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Q: Which of the following is the general solution to the differential equation (x – 2y + 3)dx + (2x –…

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: The given point is 4,-3,5. The given vectors are 2,6,1 & 1,3,-5. The equation of plane having…

Q: Consider the following IVP: x" - 4x' + 4x = 4e2i; x(0) = -1, x'(0) = -4 Find the general solution. A…

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Q: Find the solution. d³x d?x dx -2-=0 di + di A y =c,e+c y = c+ O y = c,+cc'+ce2

A: Given differential equation is d3xdt3 + d2xdt2 - 2dxdt = 0

Q: Ikeoluwa collected data on whether 65 professional golfers have practiced for at least 10,000 hours…

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Q: [2 - 3 2 - 3 and be express as A = LU as below 14 – 1 – 2 1 * c) Let A = |1 1 01 [411 U12 U13 [2 - 3…

A: The solution is given as

Q: Find the velocity and acceleration vectors and the equation of the tangent line for the curve r(t) =…

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Q: Kora uses the following ingredients to make 1 s'more. Ingredient Amount Graham crackers Chocolate…

A: To solve this problem we need to find out how much amount of Graham crackers required to make 1…

Q: Find how many 3 subset can be formed from the set {a,b,c,d,e,f,g,h}.

A: We have to find how many 3 subset can be formed from the set a, b, c, d, e, f, g, h.

Q: Use the Gauss-Seidel method to find approximate solutions to -21 + 3x2 + 23 = 5 2x1 + 2x2 + 5x3 1…

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Q: Verify Stokes Theorem for the vector field F(x,y)=(-2yz) i + y j+3x k on the part of the paraboloid…

A: Given F→x,y =-2yzi→+yj→+3x k→  We have to Verify the Stokes theorem for the given vector field on…

Q: 2/3x1 - 1/4x2 + 5/8x3 = 0   1/5x1 + 2/3x2 - 1/4x3 = -7   -3/5x1 + 4/3x2 - 7/8x3 = -5

A: To solve the above system of equations we will write the given system in Matrix form then we will…

Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3 A e(2cos21 + – sin2t) B e-2' (cos2t+ sin21)…

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Q: The position vector for a particle moving on a helix is c(t) = (5 cos(t), 5 sin(t), t²) . Find the…

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Q: Question 7 Find the solution. (D² - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 - 3x – e 2x A y = - „3x…

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Q: Find the distance between m [-2, 3, 2,0,3, – 13, –5] and n = [4, –1,1, –5, 0, 11, –3].

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Q: Use variation of parameters to solve the given nonhomogeneous system. X' X - -7t e X(t)

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Q: -x2 +y ar 49 xy plane: y? x 25 y? plane: y? as 49 2.

A: To sketch the graph of: -x29+y225-z249=1.

Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

A: We have fx=5000+24583x-7418x2+766x3-31x4+0.44x5 and x is from 2 to 8 The formula to integrate…

Q: Suppose a1, a2, a3, a4, and a, are vectors in R°, A = (a1 | a2 a3 a4 a5), and 0 0 0 1 0 [1 -5 5…

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Q: Consider the polar curves C1 : r = 1+ cos 0 and C2 : r = 2 cos 0, and let R be the shaded region as…

A: Here we have to use relation between cartesian and polar co ordinate system  x= r cosθ  and y = r…

Q: Consider the following IVP: /" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 %3D Find the general solution. 5…

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Q: Match the differential equation with it's particular solution form. | y’’ – 6y' + 9y а. Ate 2t |y'’…

A: We have to match the following differential equation with it's particular solution form.

Q: dz evaluated at dt If z=tan In with x=sec t and y=eª. Then the value of t= 0 is equal to ...…

A: Chain Rule Let us consider the function z=f(x,y) where, x=g(t) and y=h(t) Differentiate the function…