ripie the volume of the solid B that lies above the cone z = √3x² + 3y2 and below the sphere x² + y² + z² = z using spherical coordinates. Draw the solid B

Q: Find the area of the Earth's surface which lies further north than the 45°N latitude. Assume the…

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Q: = 0.2, 1. Solve the following problems using Euler's method with stepsizes of h Compute the error…

A: Euler method: For a given IVP of the form y'(x)=f(x,y), y(x0)=y0, the iteration formula is given by…

Q: Answer the followings: 1. Let p = (1 2 4 5) (36) € 56. Find the index of (p) in 56. a. 60 b. 120 C.…

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Q: (9) 2z+p²+qy+2y² = 0 z=ax- 2 2 +c -2 + C₂

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Q: Write an equation for the transformation of the parent function. 6 4 8 2 g(x) = -(x-4)³ + 2 O g(x) =…

A: As we can see that the red line represents the cubic function. So, from the graph, it has the parent…

Q: (a) i. Find the modulus and amplitude of (1 + 2i)²(1 – i).

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Use Stokes theorem to evaluate ff.curl F.nds. where F = (xyz, x, e* cos z), while S is surface x² +…

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Q: 4.1. Derive the heat equation with a metal rod with variable cross-sectional area A(x). Using the…

A: We have to drive the heat equation with a metal rod with variable cross-sectional area.

Q: (a) What does it mean for two groups to be isomorphic?

A: see my solution below

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: If the simple graph G has v vertices and e edges, how many edges does the complement of G have? Ⓒa.…

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Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

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Q: H.W: Use the chain rule to find the derivative of w = x² + y² with dw respect to t with x = cost +…

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Q: 53 ²5 dt +x³ 3 tcost

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Q: et(1 + cos(3t))

A: Let us write the mathematical expression to a MATLAB expression in the next step.

Q: Consider the result (1.d) above. We will use it to calculate the solution for the ODE ƒ"(t) + ƒ' (t)…

A: As per the question we are given a second order non-homogeneous differential equation as : f''(t) +…

Q: Define a relation T on R by xT y if and only if (sin^2)x + (cos^2)y = 1. (a) Prove that T is an…

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Q: Consider the function f(x) = x³ + 2x + 5. 1. Estimate the root to two significant digits using…

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Q: Write a Riemann sum and then a definite integral representing the volume of the region, using the…

A: Note that the given cone can be obtained by rotating a line by the axis of the cone. Using slice…

Q: How many positive integers less than 1,000,000 have a digit sum of 5

A: We have to find the number of positive integers less than 1,000,000 have a digit sum of 5. We know…

Q: 1. Let lim ||fn - f|| ₁² (1) = 0 n-00 Where I = [0,1]. Show that: lim | fn9ndμ = √fgdµ n-00 I and…

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Q: (4) (y² + 4)xpq-2=0 7/2 b -1 ¹2+c z=alnx+=tan

A: For a non linear pde F(x,y,z,p,q)=0, we find p and q by solving  dxFp=…

Q: Denote the Euler-method solution of the initial- value problem dx 1 dt xt = x(1) = 1 using step size…

A: Pseudocode Algorith Pascal Program

Q: 2. (a) How many lines of symmetry does a regular octagon have?

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Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer 2 z=ax- (9) 2z+p²+qy+2y² =…

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Q: Use Stokes' theorem to evaluate frotF. ds. F(x, y, z) = xyi + e²j + xy²k; S consists of the four…

A: To find- Use Stokes' theorem to evaluate ∫SrotF·dS, Fx, y, z = xyi + e2j + xy2k; S consists of the…

Q: I    P    R    T ----------    2000    2%    ½ yrs. 500    ----------    10%    7 mos. 175    1030…

A: According to guidelines I solve first 3 subparts so kindly request you to repost the remaining…

Q: Let f(x) = {2 0 < x < π/2 π/2 < x <n. (a) Sketch the even periodic extension of f. (b) Find the…

A: There are more than 3 sub parts in the question.We can answer first 3 sub parts per session (as per…

Q: Find all spanning trees of graph G

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Q: The volume, Vm³, of liquid in a container is given by V = (3h² + 4) ³ - 8, where h m is the depth of…

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Q: Q4\ Find the average value of f(x,y) = (+√y) where 0≤x≤y and 0 ≤ y ≤ 4.

A: We have to find the Average value of given function in given domain.

Q: C-1 { e3pe-3p p²-4

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Q: Let X = {6, 7, 8, 9) and let the relation R on X be given by R = {(x, y): 3 zc N₁ x + z = y), where…

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Q: 5. Use Cartesian coordinates to evaluate Jff v² av where D is the tetrahedron in the first octant…

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Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z z =…

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Q: Suppose that u and v are vectors in R7 both of length 2√2 and that the length of u - v is also²√².…

A: Solution :

Q: n- Let n+] n=1 convergence of the series is e 6e 6/e 4 5e 4/e 4e 5/e (Ca)", C is a positive…

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Q: 2. (a) How many lines of symmetry does a regular octagon have?

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A: a z2 = 4 + 4r2We know that x = r cosθ y = r sinθNow changing in cartesion formZ2 = 4 +…

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: 2. (a) How many lines of symmetry does a regular octagon have?

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Q: 7. If it is the unit outward normal vector to any closed surface (S) bounding the region (V), pro…

A: 7 Given n→ is the unit out ward normal vector to any closed surface S bounding the region V. We have…

Q: Show that (2+x, e) is linearly independent. Plz solve both parts within 30-40 mins I'll upvote your…

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Q: Prove or disprove the relation C on Z defined by C = {(x, y): x=y (mod 5)} satisfies the two…

A: I just used the definition of congruence and divisibility

Q: Use the secant method to estimate the root of the f(x) = 3x + sinx - ex llowing brahi function:

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Q: Given the polynomial :x6y³ - 2x²y² + 1 1. What is the degree of the first term? 2. What is the…

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Q: (D²+4)y= 4csc³2x (by Variation of Parameter

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Q: wer contain e drawer c x, one draw

A: Given information: There are 3 boxes and 6 drawers in them. Each box contains two drawers where…

Q: Match the following functions with the appropriate cross-section: I) z = (y²-1) cos(x) II) z=(x²-1)…

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Q: Consider the recurrence relation an = -2an-1 +15an-2 with first two terms ao = 4 and a₁ = 10. a.…

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