Using Simpson's rule, what is the approximate value of ſ dx with n 10?

Q: Find the value of integral (x² + y³ + 2)ds, where C is parmeterized by 7(t) = (5 cos(2t), 5 sin(2t),…

A: Line integral over the curve.

Q: Let F be a field and letIc F[X] be the subset of the polynomials for which -1 is a root of…

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Q: 6. If c is a positive integer and a and b are integers with a = b(mod c), show that a2 = b²(mod c).…

A: Let c is positive integers and  a and b are integers with a ≡ b ( mod c)

Q: The figure below is dilated with the center of dilation at the orgin and a scale factor of 1/2. What…

A: By graph we can see that  B = (2, - 4) Scale Factor  = 1/2 = 0.5

Q: ) Let F be the ordered basis of R? given by -{}:} F = nd let F, be the ordered basis given by F2=…

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Q: Q2. Solve the problem u = a²ux – u + x fu(0, t) = 0 lu(1,t) = 1 u(x, 0) = 0 P.D.E. 0 <x<1 0<t< 0…

A: Given the PDE (a) ut=α2uxx-u+x                      1 as α is an arbitrary constant, so we take it…

Q: Hemoglobin levels - According to the Mayo Clinic's website, a hemoglobin test measures the amount of…

A: The provided sample means are X1^=14.4X2^=13.1 The given sample standard deviations are s1=2s2=2.2…

Q: Given V1 = %3D

A: Given,         v1=123, v2=2-1-1, v3=31c

Q: 3 2x Estimate the value of the definite integral dx with n=4 subintervals, taking x+1 the sample…

A: Introduction: The endpoint formula and the midpoint formula are related. A midpoint is the point in…

Q: Find the exact value of S,(4 + 4x)dx by interpreting it in terms of areas. Include a picture of the…

A: Area of the bounded region

Q: (a) Graph G, Graph G2 (b) Graph H, Graph H2 Figure 7-58 Graphs for Exercise 1. 2. Explain why graphs…

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Q: Let S= {V1, V2, V3} be an orthonormal basis for some inner product vector space V. Which of the…

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Q: 9. Solve the following system of IVP: -3 1] 3 x' = Ax where A = |-2 -1 1 and x(0) 6 2]

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Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

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Q: The follwing system is given a: Find its augnented matrix b: Reduce the augmented matrix into RREF…

A: We have to find the general solution of the given system of linear equations in four variables,…

Q: Consider the following initial value problem: dy = -ty + dt 4t y(0) = = 1. Use the midpoint method…

A: The differential equation given is as follows: dydt=-ty+4ty Where ft, y=-ty+4ty. With the initial…

Q: Glven that: -1 3 3. -2 3 -2 5. 4 -1 → rref(A) = -5 4 -3 6. -2 4. 6. 0 0 Rank(A) = Nullity(A) - %3D…

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Q: Let u = (-3, 2), v = (2,-2) and A= NOTE: Give eract answers. (a) Find u relative to the inner…

A: Here given u=-3, 2, v=2, -2 and  A=1121

Q: All prime numbers greater than two are odd. 3 is a prime number greater than two. Therefore, 3 is an…

A: Let us define some predicate variables.  Prime(x) = x is prime Gtwo(x) = x is greater than two…

Q: 6. Compute the projections of [1, – 1,0, 1] on the vector [0, 1,0, 2]. |

A: Let v = [1, -1, 0, 1] and u = [0, 1, 0, 2]

Q: Find the general solution to the non-homogeneous system of DE: X' = [; ]x+ 13e2t

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Q: Determine the Fourier series representation of the function f(t) defined by 3 -2 <t<0 f(t) = { -5…

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Q: n square un ces tis on t

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Q: will suffice, you need not use the math editor. Question 5 Let A be a 6 x 6 matrix with…

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Q: T = -2+3s Consider the lines defined by the equations l1 : x – 2 = y – 1 = z + 4 and l2 : {y = -1+8…

A: To find the point of intersection of two lines we equate the values of x and y in two lines to find…

Q: f(x,y) = 2xy (Aメノナ vertices ro,0), (1,0), (1,1) Find the average valine orer Ri triangle with

A: Here we have the 2 variable function that is fx,y=2xy. it is required to find the average value of…

Q: Sketch the domain and three-dimensional (3D) graph in first quadrant of the following function: z2 =…

A: This is a problem of set and functions and calculus of several variables.

Q: If -18(x + 1) – 12(x + 1)² + 6(x + 1)3 if – 1< x < 0 if 0 < x < 1. S(x) = а+ bx + сx? + dx3 is a…

A: Given Sx=-18x+1-12x+12+6x+13if -1≤x&lt;0a+bx+cx2+dx3if 0≤x≤1

Q: Determine the area of the right half of the cardioid formed by r = 7 +6 sine 14 12 10 8 6 4 -2 -4…

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Q: Find ker(T), range(T), dim(ker(T)), and dim(range(T)) of the following linear transformation: -1 -1…

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Q: The integral represents the volume of a solid of revolution. 2n (a) Identify the plane region that…

A: By the method of cylindrical Shells , let f(x) be a continuous function and R be the region bounded…

Q: If u = ln( °+y³ x+y ). then find the value of ди ?

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Q: Build a Venn diagram. Use the names of the sets to label the regions. Place the numbers in the…

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Q: A debt of $6544 is to be settled by two equal payments due in 3 months and 7 months respectively.…

A: Solution: Let the payment due in 1 month be x. Accumulated amount after three month; FV=P1+rnnt…

Q: Let T: P3 → P3 be the linear transformation satisfying T (x2 + 8) = 3x² + 3x + 1, T (3x) = 12x, and…

A: We want to find image of T(ax2 + bx + c)

Q: 1. Visualizing Combined Units draw a large square that is exactly 1 foot by 1 foot. (Yes, you must…

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Q: A bond has a 14000 face value, an 8 year maturity and a 3.05 coupon. Find the total of the interest…

A: Face value = 14000 Coupon = 3.05% Thus interest rate = 3.05% = 0.0305

Q: In Exercises 17-22, write , fdA as an iterated integral the shaded region R. 17. y 18. 2 F 12 1. 3…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The set S = {v1, V2, V3} where vị = (-1,1,1), v2 (1,-1,1), v3 = (1,1,-1) is a The vector v whose…

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Q: The lone bus traveling on Forgettable route is never on time leaving its terminal; it leaves either…

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Q: Determine the domain and range of the given functions. Then sketch the contour plot of function…

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Q: For each of the regular solids, take the number of vertices, subtract the number of edges, and add…

A: Consider a regular solid Cuboid: here we can observe that, Number of vertices is 8. Number of edges…

Q: The base of a three-dimensional figure is bound by the lineX = y-, on the interval [5, 9]. Vertical…

A: If the cross section is perpendicular to the y−axis and  area of cross section  is a  the function…

Q: Consider statements p and q. p: It is Wednesday. (a) Write each statement below in symbolic form…

A: We have given a statements ,  p : It is Wednesday. q : There are students in the gym. (a)  We need…

Q: In the multiplicative group of invertible matrices in M4(R), find the order of the given element A.…

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Q: A 17 ft ladder is lea

A: Given that a 17 ft. ladder is leaning against a wall. If the bottom of the ladder is pulled along…

Q: az (b) Determine the by using the Chain rule with the following information: ds z = cos (x"y) – sin…

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Q: Use polar coordinates to describe the region shown. y 10 5 -10 -5 10 5 -10 R = {(r, 8): 0 srs 3…

A: Here we will use some points and shape of given graph to decide which equation representing it .

Q: Question 16 Let A = - The eigenvalues of A (listed in increasing order) are 11 and All answers are…

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Q: 3. -1 -2 Let A- -2 -6 3 4 -2 Then the cofactors Ca and e determinant det(A) det(A,) det(A) call…

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