Q3 Check the symmetry and graph the curve in polar form if 0 = 0 to z at increments π/6(30°) use a calculator set in degree mode r= (1+ cos0)

Q: if the test point chosen makes the inequality statement falls then one should be sure to shade the…

A: Solution: In the given statement, it is given that if the test point chosen makes the inequality…

Q: Find the solution of the given initial value problem. 10 y = =y= - cos t t-10 ¹ Y(T) = 0, t y(t): =…

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Q: 4. GET THE EQUATION OF THE GRAPH f(1) 7+ a 20 39 49

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Q: SOLVE X²y" + xy² - (4x² + 1 ) y = =0 BY BESSELS METHOD.

A: As per the question we are given a second order linear homogeneous differential equation and we have…

Q: Q4 Determine the area that is inside both r =3+2,sin 0 and r=2

A: The given problem is to find the area of the region bounded by given curves. Given curves…

Q: if osta Define fct) = { e²t +etcost if t>"/2 solve y(3)-2y (2) + y² - 24 = f(t) y (0) = 1₂ y ² (0) =…

A: Given differential equation y(3)-2y(2)+y'-2y=ft …………………(1) y(0)=1 ,y'(0)=2, y''(0)=4 f(t)= e2t    if…

Q: 4. wing complex integral. z²dz, C: z(t) = t² + it (0 ≤ t ≤ 1) zdz, C:z(t) = t² + it (0 ≤ t ≤ 1) (1)…

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Q: In​ 2005, there were 14,000 students at college​ A, with a projected enrollment increase of 500…

A: Given: In​ 2005, there were 14,000 students at college​ A, with a projected enrollment increase of…

Q: Consider the curve C which is the intersection of the surfaces shown in the accompanying figure. Z…

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Q: 5. Consider a cylindrical water tank of constant cross section A. Water is pumped into the tank at a…

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Q: If f is a potential function for the vector field F = (y + 2xz, x - 3y²z², x² - 2y³z), then the…

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Q: Q. Show that . + () * (2 ) ) - ( yi 1) + (2) + C D

A: Given expression is y0+n1∆y0+n2∆2y-1=y0+n1∆y-1+n+12∆2y-1                   (1) Since we know that ∆…

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: x = 3 (mod4) (6pow) g = x x = 8 (mod12)

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Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

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Q: Consider the solid Q bounded by the surfaces S₁: z-1=(y-2)², S₂: 1+y=2, S3:2=0, S₁: y=0, S: z=0 Let…

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Q: b) What is the maximum height? c) When will the baseball hit the ground? Problem 9. Expand the…

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Q: fCt = [ Htu (t-π) Jun (37)

A: As per the question we are given the following function : f(t) = [1+u(t-π)]sin(3t) And we have to…

Q: Find product solutions of 2 H J² Jx² 4 Ju day

A: Given PDE is ∂2u∂x2=4∂u∂y       (1) Let the product solution be u(x,y)=XY                (2) Putting…

Q: Find the value of b for which the differential equation (yexy + x) dx + (bxey) dy = 0 is exact, then…

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Q: The graph to the right is the result of applying a sequence of transformations to the graph of one…

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Q: x₁ + 2x₂ + 3x3 = 2 x₂ + 5x3 = 3 x₁ + 3x3 = 6 ------ b-x= d-x= Find the solve of the Linear system a…

A: Firstly convert given system into the matrix form and then apply row operation and then find the…

Q: Find the general solution to the following differential equation by using method of undetermined…

A: Sol

Q: 2 4.5 7 9 f(x) 2.5 1 2.5 0.5 Apply Second order spline interpolution

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Q: 4. (laplace transform) Given F'(t) = 2, if 01 , then L(F' (t)) is..... }

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Q: Question 3 A motor has 5 speeds varying from X rpm to Y rpm in a Geometric Progression. (a)…

A: according to question, a motor has 5 speeds varying from X rpm to Y rpm in a geometric progression…

Q: (d) Find the approximate solution of the system of equations (using the projection matrix) 3 4 J]-[…

A: Least-square solution: The least-square solution of Ax=b coincides with solutions of the normal…

Q: If the length of the top of a rectangle is 15 inches more than its width and the area is 1,350…

A: Wee have to find dimension of table.

Q: If Z1=14+7i and Z2-3+17i, determine the imaginary part the complex number: Z2 Give your answer to…

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Q: Given the following three two vectors: x = ai+bj+ck; y=di+ej+fk; z = 5i-6j+4k where a=3₁b-4₁ c = -3,…

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Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

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Q: Springfield Florist plans to replace its delivery vehicle in three years. If they set aside $16,000…

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Q: u(0,t) = u(3,t)=0, t≥0 x 0<x<1 u(x,0) = 2-x 1<x<3

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Q: 6- find the second order partial derivative's of the function: z = x sin sin (x²y)

A: Sol

Q: Consider the solid Q bounded by the surfaces S₁: y = 4x², S₂: z=4-x, S3 z = S4 : y = 0 whose…

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Q: Solve the IVP: y'' - gy y(0) = 0, y'(0) = 0 {} 6 0 3

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Q: 13) Consider the solid Q bounded by the surfaces S₁: z=1-y², S₂: z=x, S3: z=4-x-y, S₁: y=0, S₁: z=0…

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Q: The integrating factor of 3xdy + 3y dx is

A: given differential equation: 3xdy+3ydx=0 Remember :  A differential equation of the form…

Q: Consider the oriented curve C, which is the intersection, in the first octant, of the surfaces shown…

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Q: 5) Let F(x, y, a vector field and S the surface with equation x In (y − 1) described in the =…

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Q: Evaluate J da ²√²-49) x>7, using a trigonometric substitution.

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Q: Nx - My xM - YN has an integrating factor of the form a(zh Find an integrating factor and solve the…

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Q: Perform the indicated operations. 11011two +10011two +10011two +11101 two 11011two +10011 two +…

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Q: (b) Prove that the intersection of finite collection of open sets in the metric space (M, d) is open…

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Q: (b) Each integer has the property that its square is less than or equal to its cube. i. Original…

A: We use rules of logic.

Q: 14) Let C: r(t), t € [a, b], be a regular curve in R³, oriented from the point P = r(a), to the…

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Q: 3) This is the first part of a two-part problem. Let P = 7₁ (t) = [_(f cos(2t) (sin(2t)) 72(t) = 72…

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Q: 4. Provide the equation that model the following traffic network for the highlighted intersection.…

A: There is no loss at the cross points

Q: O Question 11 A company produces very unusual CD's for which the variable cost is $7 per CD and the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: The attached figure shows the surface S₁: z = x², bounded in the first octant by the surface S₂ : 2y…

A: Parametrize the surface