graph of f(x)=x2+x+1 over the interval [2,7] using four approximating rectangles and right endpoints. Rn=? Repeat the approximation using left endpoints.

Q: /4 g- x sin x dx

A: Given integral is ∫0π4x sin(x)dx So here f(x) = x sin(x) As π4 ≈ 0.785 Let n = 5  => h = 0.157…

Q: Explain why S is not a basis for P2. S = {1, 4x, -9 + x², 7x} S is linearly dependent. O s does not…

A: Given S={1,4x,-9+x2,7x}. We explain why S is not a basis for P2.

Q: NUMERICAL METHODS QUESTION Solve the differential equation – 3x + 2y + xy, y(0) =-1 by means of the…

A: To solve the given differential equation by Taylor series method first we will write the Taylor…

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A: Concept: Polynomial with degree 4 have 4 roots. However it is not compolsory that the roots are…

Q: Find the volume of the paraboloid, z = 9 – x2 - y², that lies inside the cylinder x2 + y? = 4.

A: we know the volume of any surface is given by ∬∫EdV ,where E is surface inside the cylinder x2+y2=4…

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A: here we can use simple interest formula for month because the interest rate and time both are in…

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Q: d the point of intersection of this new line with each of the coordinate

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Q: (b) (a)/ Use the calculus of residues to T (22 +9)2 6. -8 22 +1 dx x4 +1 T (b) %3D V2 dx (c) + 1)(z²…

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A: Directional derivative of the function

Q: Use Sympy to find the antiderivative of f(x)=5/(x²-9). Then evaluate the antiderivative at x=4.…

A: Given fx=5x2-9

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A:

Q: Consider the differential equation y' = a(t) + b(t)y + c(t)y². (1) 1. Suppose that y1 solves (1) and…

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Q: sint 0 5 (a) Express f(t) using windows (b) Find the Laplace transformation L{f(t)}.

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Q: X – 2 Let g(x) x + 3 2 1 1 x² 27 1 The third degree Maclaurin polynomial of g(x) : - 9. 81…

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Q: Sunwoo’s closet contains 15 different styles of jacket. In how many ways can New pick out four…

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Q: 1. Calculate the area of the parallelogram spanned by the vectors Á = and B = .

A:

Q: What is the expansion of 1 f (x) = %3D Ο Σε' Σ 2n 2n Σ Next

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Q: 2. Evaluate the following limits using an appropriate function and its upper or lower sums. a)…

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Q: Give 2 examples of geometric problems that can be solved using the parametric equations of a line…

A: Given clear explanation below

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Q: Prove lim(Vn+1- n)=c 8. 0 =

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Q: Proof by induction that 0+0=0+0   where 0 represent x. x+0=0+x

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Q: Q1: Use two iterations of G-S method to solve the linear system. 10x + y+ z = 15.4 2x + 7y + z =…

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Q: Suppose that liquid flows into a tank at a variable rate of q(1) litre per second. It can be shown…

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Q: 43. r = 2 + sin 0

A: We have to identify the type of the given polar equations. Then, we have to sketch the graph of each…

Q: NUMERICAL METHODS QUESTION Consider the differential equation y'(x) = -3x®y?, y(0) – 2, which has…

A: Given the differential equation y'x=-3x2y2,  with given condition y0=2 and have the analytical…

Q: Consider the figure A(1,1,0) D B(-1,-1,-1) C(2,2,0) a) Determine the coordinates of D if ABCD is a…

A:

Q: Part III: Use the graph of f(x) to sketch y = f(x) 5 4 하 2 6 -5 -4 -3 -2 123456 -3 4 -하 -6

A: Given: y=f(x) To draw: y=0.5f(x)

Q: Consider the following geometric series 11+11 () + 11 (한) + 11 (한 +.. . The value of a the first…

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Q: Advanced Math Question

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Q: 3. Let X be a set. Call a subset A C X to be finitely complemental if its complement is either…

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Q: 3. Given two planes, discuss the various possibilities for the set of points they have in common.…

A: Given that,  two planes, the number of possibilities  for the set of points. There are following…

Q: 1. You went to a Bangla Restaurant in Pohela Boishakh that serves 5 different types of vegetable…

A: Here we are to select three bhortas from a total of five considering the fact that we can choose the…

Q: Which of the following is true? * If A = {x: x |B| Option 4 Option 3 |A| < ]B[ ]A| = |B| Option 2…

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Q: Let F be a field of 4 elements and let f(X) e F[X] be an irreducible polynomial of degree 4. How…

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Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x + y° +z? = 5 and ¿x + y…

A: Given, f(x,y,z)=x+y+zLet g(x,y,z)=x2+y2+z2=5       h(x,y,z)=16x2+16y2+6z2=5To find: Maximum of…

Q: 2. The 3 x 3 matrices A and B are defined in terms of a scalar constant k by 2 + m] [k k 9. [1+m -3…

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Q: (Section 3.6) Crane Foods determines that its daily revenue, R(r), in dollars, from the sale of x…

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Q: Use the operator method described in this section to find the general solution of each of the…

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Q: 2 Use Golden Section Search to determine (within an interval of 0.6) the optimal solution to igulum…

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Q: V3] = {a+ bv3| a, b e z}. Define f:z[V3]→ Z/3Z by f(a+ bv3) [a]a %3D ove that f is a ring…

A:

Q: Angle v and angle x are vertical angles. Write an equation that represents the relationship between…

A: Vertical angles means they are vertically opposite to each other. [As shown in the picture]

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Q: (a) +9)2 (22 + 9)2 + 1 dx x4 +1 T (b) %3D V2 (0)/ 8. dx (x2 +1)(x2 + 4) 6.

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Q: Which of the following is/are axiom/s in projective geometry? I. All the points of the plane belong…

A: We have to determine which of the following is axiom of projective geometry.

Q: A two dimensional space-time has the metric ds = dv² – vʻdu² . Compute the Ricci tensor Ruv ·

A: Given below clear explanation

Q: Why did we plug in x = 1/2 at the last part of the solution for the second problem

A: