Which Riemann sum represents the illustration shown? 4 3 2- 2 4 6 8 10 E VI; · Ax¡ 2 E VXi 2 VXi · Ax; IMN ÎMN

Q: Find the angle between two vectors a = (3,4,0) and b = (4,4, 2). O a. cos Cos cos-() O d. cos-() Ос.

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Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. (2) lim tan 7n…

A: Definition of the definite Integral

Q: f(x+h)-f(x) Comments/ Remarks 8r-4x-2 Problem #1: Using lim, Find the slope of the tangent line y…

A: To find The slope of the tangent line.

Q: a. If this graph is planar, demonstrate Euler's formula; otherwise, explain why it's not planar. K…

A: Given: A graph To determine: a) Whether given graph is planer. If it is planner then demonstrate…

Q: Use the given transformation to evaluate the integral.   (15x + 10y) dA    , where R is the…

A: Given integral I=∬15x+10ydxdy R is the parallelogram with vertices -2,8, 2,-8, 3,-7 and -1,9…

Q: What is L in this problem?

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Q: a) : Determine whether the series Ene-n° n=1 is convergent or divergent. b) : Use the Comparison…

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Q: Let /, be the line described by the Cartesian equations • x= 1 • y-9 = 2(z-5) Let lz be the line…

A: To find the distance between two given lines we need to consider general point on each line. Minimum…

Q: (b) Explain how the function f(x) = log(x + 3) can be graphed by using transformation of the graph…

A: (b) Given function isfx=logx+3The graph can be transformed to y=logx by the following…

Q: Dims 8. A right square pyramid has 15 cm on a side of its base and the base. lor hexagonal pyramid

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Q: Verify that the equation 2 – X² = sin x has two real roots, one near x = 1.5 and another near x = 1…

A: we have to find the real root for given function.

Q: Locate the centroid 240 mm 60mm 120 mm --X 360 mm 120 mm

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Q: A thermometer reading 70 degree Fahrenheit is placed in an oven preheated to a constant temperature.…

A: The differential equation is dTdt=kT−Tm. ⇒dTT−Tm=kdt Integrate both sides…

Q: Find the flux of the vector field F across the surface S in the indicated direction. F = 8x i + 8y…

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Q: Q3: A. By power series, prove that: COSX = dx -sinx

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Q: Solve 3 (x? + y?) dæ + æ (x² + 3y² + 6y) dy = 0 ; when x = 1, y = 0

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Q: Use the Divergence Theorem to evaluate       S   F · N dS      and find the outward flux of F…

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Q: In n 6. En=1 0o(-3)" 2 00 n%3D1 71 (comparison test) 7. En=0 8. ΣΤ- n2+n+2

A: The main objective is to determine the series is convergent or divergent.

Q: Q2/B) Solve the following differential equation by using homogenous D.E method dy dx

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Q: Question 2! 3: 1: Explain why the following series a) . (-1)" 1+ n3/2 n=1 is Alternating. b) -…

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Q: Consider the system of linear equations: X1 + kx2 2x1 + 4x2 = k = 1 4x1 + 8x2 = 4 where k e R is a…

A: System of Linear equations and solution

Q: I asked 5 questions tonight and this is the first one that I for a correct answer.

A: If an object is moving from x=a to x=b, then the work done by the force F is calculated by the…

Q: Use mathematical induction to prove that the n-th derivative of (x +n + 1)e" is given by d" (x+1)e =…

A: We use mathematical induction. The detailed solution is typesetted and given in detailed as the next…

Q: How to find the Last two digit of a number using Binomial Theorem. Explain Step by Step

A: Binomial expansion of 1+xn=n0+n1x+n2x2+......nrxr+...nnxn Where nr=n!n-r! r!

Q: Prove that the subgroup {o E S5 | o (5) = 5} of Sg is isomorphic to S4.

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Q: A granite quarry purchased for P1,600,000 is expected to be exhausted at the end of 4 years. If the…

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Q: Let a € Zz be a zero of the irreducible polynomial p(x) = x3 + x² + 2 in Z3[x]. a. What is |Z3(a)|?…

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Q: 3. (a) Let S be a two-dimensional subspace of R³. Let P be the projection matrix cor- responding to…

A: Every projection matrix has eigenvalues 0 and 1  with different multiplicities, depending on the…

Q: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

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Q: Sketch the graph of f(x) = –3r³ – 4x² + 6x – 2 by following the steps in %3D | sketching the graph…

A: Note: critical points of a function y = f(x), is given by the x-values where the first order…

Q: 3. Find the shortest distance between parallel planes 2x - 3y + z = 4 and 4x -6y + 2z = 5.

A: Given equation of planes: 2x-3y+z=4 and 4x-6y+2z=5. To find: Shortest distance between the parallel…

Q: Using Green's Theorem, evaluate |(sin z – y) da + (2³ + e") dy where C'is the circle x2 + y = 4.…

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Q: Show that the equation dy + 2k possesses solutions of the form 00 -kt E C, e cos (C, x+ E,) cos…

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Q: dy Plot the slope field for the differential equation dr

A: Given,                        dydx=y2-x  Initial condition:                    y12=1

Q: Let S be the quadric with equation 36x² –4y² –9z² – 36x = 0. Sketch a graph of the surface with…

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Q: Use integration by parts to evaluate 2x cos (x) dx

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Q: summarraize the concentration of the drug in the bloodstream for the first 20 hours afetr it is…

A: The summary of the concentration of the drug in the bloodstream for the first 20 hours after it is…

Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…

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Q: Evaluate the triple integral. xyz dV, where G is the solid in the first octant that is bounded by…

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Q: Q2/B) Solve the following differential equation by using homogenous D.E method dy %3D dx

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Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) eteU = e4…

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Q: Let n be a positive integer and f (n) = -53n109 – n51 + 53. Then f (n) is O(logn) the above. None of…

A: Correct answer is O(n^110).

Q: A quadratic polynomial y = 4x2 +7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: The correct answer is 1/2 not 3/4.

A: To determine the area under the curve definite integral is used.  The definite integral is defined…

Q: y'+2xy=2x^3, y(0)=1, y(2) using h=0.2

A: As per the question we are give the following first order differential equation : y'+2xy=2x3 With…

Q: x²+2x?y-2xy+2xy –3y The expression is equal to x+y

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Q: d'r If r = (+ 2t)i – 3e-²j + 2 sin 5t k, find dt2 at t= 0. 12j -12j 12i -12k

A: Use the following formulae, to obtain the solution.…

Q: Determine the equation of the normal line to the surface In (x + y) = Z 2 at the point (-1,2,0)

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Q: Q2/A) Find the particular solution for the following D.E., the boundary condition is (y-0@x-0) dy…

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Q: If f is just that L = e*[- sin(x+ y) + cos(x + y)] and -e* sin(x + y) which if the following is true…

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