Find the common area betuween V=2C1+Cose) and carved V=2(1-Sine) which is Locatel in the Fuorth quadrant Yau

Q: Carry out the substitution x = sin 0 in the Taylor series 1.3.5..(2n - 1) x2n+1 arcsin x = x + 2…

A: Given: x=sinθ To find: Substitution

Q: State and prove the first isomorphism theorem.

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Q: Q3: Prove or disprove any four of the following 1.Any abelain group is simple. 2. Any field is a…

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Q: Draw the development pattern for the cone. A is the ellipse center and B is the circle center. 50 B…

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Q: 1. Solve for the determinant of matrix A in rectangular form 19769 2e0.5ni A = -(13 < 180°) (1+21)?

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Q: Verify that the given functions are linearly independent by evaluating the Wronskian at a 0. %3D…

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Q: Find and classify the critical points of z (x² – 2a) (y² – 4y) Local maximums: Local minimums:…

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Q: Compute central difference approximations for the first derivative of the function, y =[ eln(x)72 ,…

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Q: Show that f:Z2 -> Z2 defined by f(n) = n2-n is a ring homomarphism.

A: The element in Z2 are {0,1} Now, f(0) = 02 - 0 = 0           f(1) = 12 - 1 = 0 Hence, f maps Z2 to…

Q: Use only the Stokes’ theorem to evaluate  integralC(−z − y)dx + (x − z)dy + (x − y)dz where C is the…

A: Solution: given  F=-z-y,x-z,x-yand C is the intersection of ; z=x2+y2 and z=y First, we solve the…

Q: تعلهلتملوكملتهلعللموا محلموكيلوفحلللات )هه )x^(5-x = )ه ,Q7x

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Q: Construct the dual problem associated with the primal problem. Solve the primal problem.

A: Given,      Minimise C=2x+8ysubject to                 x+2y≥4              3x+2y≥6 and      x, y ≥0

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: TRUE OR FALSE 16. The exclusive disjunction of -1 <1 and – 1+1 = 0 is true. 17. A conditional…

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Q: -x-x² + = X-. to 2 decimal place accuracy 8. Determine the range of x-values for which e*

A: Given: xex=x-x2+x32 To find: Range of x values

Q: 4s+2 F(s) s+6s+34

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Q: Two triangles are on the same base and between the same parallels. Prove that the sides or sides…

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Q: Ise the series to evaluate the limit tan-1 y – siny lim y→0 y³cosy

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Q: Use the Laplace transform to solve the given initial-value problem y" + y = V2 sin(V2t), y(0) = 11,…

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Q: 3) a) Solve:' 4x³y +4x?y(2)_ sxy'+2y=0 Co,0) on

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Q: Prove using rules of inference.

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Q: 3. The point P=(-2, -3, 4) in R a. Draw the rectangular prism using the given point on the grid…

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Q: Evaluate the Laplace Transform of: f(t) = 5e-at sin wt %3D OF(s) = O F(s) g2 –2as+s2+w2 O F(s) =…

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Q: 5. A sequence of elementary rew operations was applied to a matrix A to put it in an upper…

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Q: Let I = (a, 6) be a bounded open interval and f :I→ R be a monotone increasing function on I. sup…

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Q: Find a point on the surface z = 3x^2 − y^2 at which the tangent plane to this surface is parallel to…

A: We need to find the Point on the surface of  z=3x2−y2 given tangent plane to this surface is…

Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

Q: Use a suitable linearization to find an approximate value of – sin(36°) = - sin 5 () - as follows:…

A: a  30∘=π6 is good tubular point becouse it is close to 36∘and the value of sinx at x=π6 is known

Q: 4. Find the isolates singularities of the following functions, and determine whether they are…

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Q: - Using the Maclaurin Series for e (e* = E=o) a. What is the Taylor Polynomial T3(x) for e centered…

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Q: Let R be a commutative ring such that 2x =% xe R. Then the mapping f : R → R defined as f (x) = x is…

A: Let x, y ∈ R. Then f(x + y) = (x + y)2 = x2 + 2xy + y2 = x2 + y2, since R is commutative and 2x=0…

Q: Q11: Explain the relationship between ideal and subring.

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Q: Compute forward difference approximations for the first derivative of the function, y = e*cos(x²),…

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Q: a Separable Solve the initial value problem (2 + 1) - 2rco"(9) with y(0)- Find an explicit solution.…

A: We can solve this using given information

Q: A particle is moving along the path given by R(t) = (sin(ln t), cos(ln t), v/3 In t). (a)…

A: We need to find arc length of given curve to do arc length parameterization  arc length of curve…

Q: II. Consider the function g defined by g(x, y) = = cos (Tx /y) + log3(r – y)' Do as indicated. 1.…

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Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y)" Do as indicated. 1.…

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Q: Suppose n and m are integers. Prove by contrapositive: If (n + m) is an even integer and (nm) is an…

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Q: 2. Find the volume of solid generated by revolving te area enclosed by: x=y2+1, x=0, y=0 and y=2…

A: The area enclosed by x=y2+1, x=0, y=0 and y=0 The shaded portion is the required region

Q: Compute backward difference approximations for the first derivative of the function, y = log(x² +…

A: We have to compute backward difference approximations for the first derivative of the function,…

Q: Compute central difference approximations for the first derivative of the function, y = log(x? +…

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Q: ortion of the surface z = 3x + 20 that lies inside x^2 + y^2 = 4. Sketch the surface accurately.…

A: Introduction: The formula of the surface z=f(x,y), that lies inside the region R is given by,…

Q: 21. If a function f: D→R is differentiable at a DED then f has partial derivatives fm and fu at (a,…

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Q: Rock band The Rolling Stones have played scores of concerts in the las a) Assuming a population…

A: Given that rock band the rolling stones have played scores of concerts in the last twenty years. For…

Q: Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove that…

A: Here the given function is f(x)=8(x-7)(x-1). We have to write down the definition that limx→af(x)=L…

Q: (b) Unitarily diagonalize the following matrix 3 -6i 6i 6 -

A: We have to diagonalize the given matrix A=3-6i6i-6 unitarily

Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

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Q: Consider the three infinite series below. (n + 1) (n² – 1) 5(-4)"+2 32n+1 (-1)"–1 00 (i) (ii) (iii)…

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Q: 1. Use the Diagonal Method to evaluate the value of the determinant: 3 4 2 -1 – 3 1 - 2 2 3 -1 1 2…

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