Compute forward difference approximations for the first derivative of the function, y = cos(sin(x)+ 1), at x = 1.05 using a value of Ay - 0.05

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Q: COMPLEX ANALYSIS 5. Evaluate the following line integral v) dz where C is the simple closed path…

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Q: (d) f(x) = 2x³ +6x² + 6x +5 %3D (e) f(x) = x³ (x + 5)² %3D

A: d)  Given, f(x)=2x3+6x2+6x+5 Let y=f(x) x 0 1 -2.1 y=f(x) 5 19 0

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Q: Given the vector valued function r(1) = (2e' )i + (1 – e²")j a. Determine the unit Tangent and…

A: Given: rt=2eti + 1-e2tjWe know that, unit Tangent Tt=r'tr'tnow, r't=2eti + 0-2e2tj         r't=2eti…

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A: Solution :-Last option is correct.

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Q: The value of the triple integral II| 2x² dV where E is the region inside both x? + y? + z? = 36 and…

A: Solution:-

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Q: Prove or disprove any four of the following 2. Any field is a division ring. 4. Every group of index…

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A: Here, we see, B is the identity matrix of order 3. i.e, B = I3x3 So, AB = AI3x3 = A

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Q: Write the formal negation of the following statement: V ne N, 3 x E R s.t. x < -.

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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. Solve for the element 4-2 of the inverse of matrix A below. 8 -1 A = 2 1 6 3 1 2 4 1

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Q: ہمملالعحممعم:لم ملنم ط علاهک إدلاعہراجم م = اهكهو

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Q: Use a Venn diagram to answer the question. A survey of a group of 111 tourists was taken in St.…

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Q: (26) Let f(x) = x?e=*. For what value(s) of x does f(x) have a horizontal tangent? (a) Find the…

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Q: Hiwsslove du 4 %3D dt dx² 8. u(0,t) =0 u (8,t) = U(x,a) =0 = 4X- (5)X

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Q: 1) (1, 120°) 90° 120° 60° 150° 30° 180° 0- 210° 330° 240° 300° 270° 4. 3. 2.

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Q: e) a unit vector perpendicular to both i and i f) the volume of the parallelepiped formed by vectors…

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A: Three or more points are said Lto be collinear if they all lie on the same straight line If l1 , l2…

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Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: Sketch the graph and show all extrema, inflection points, and asymptotes where applicable. 1) f(x) =…

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Q: Consider the differential equation ry(3) – 6ry' + 12y = 0. Find distinct values of r, say r1, r2,…

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Q: 1-y² L In (r* + y? +

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Let C be an nxn matrix that satisfies C2 -3C–2In 0. Show that C is invertible and C=1 = }(31-A)

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Q: The intersection of any countable family of

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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: -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