Construct a cubic spline that interpolates sin x at nodes 0, T/2, T, 37/2, 27 (use the true derivative of cos x to supply extra endpoint conditions). Write down its expression on each piece.

Q: Simplify the expression: 7(-10 + 5w) = Submit

A: Given expression is -7-10+5w

Q: Solve : 2we +3ux u (x, 0) = x Solve : Sub yeck to u (x, ,0) = x+y 4.

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Q: 2s Let H be the set of all vectors of the form Find a vector v in R' such that H span {i}. -s S

A: Spanning set of H

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Q: 4. I. The simplified form of 4 log, " +5 log2 -3 log, z is log2 II. The expanded form of log, p is 2...

A: There are four following math lagarithm formulas   

Q: 2/7,545

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Q: (4a) Let n E Z. Prove that if n is even, then -5n – 3 is odd.

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Q: (2b) Let I = {2,4, 6, 8, 10} and S« = { a | a E I}. Prove or disprove the following statement: "If S...

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Q: Simplify the expression: 7(1 - ) = %3D Submit

A: Solution

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Q: Simplify: 4) (3- 2i)(5 + 4i) 5) (3- 41)? 6) (3– 2i)(5 + 4i) – (3 – 4i)? 3+7i 7) Write in standard fo...

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Q: In an attempt to do a three-digit subtraction, Yuan writes                                         ...

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Q: PROBLEM 1: A tank originally contains 380 liters of brine holding 450 N of dissolved salt .Eight lit...

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Q: Problem 8: Show that the ring D of quaternions is isomorphic to the ring а b M = -5 a

A: brief answer is given below.

Q: or the differential equation x"(t) + 4x'(t) + 3x(t) = 7 oproaches the following values ast →0

A: In this question, the concept of a particular solution is applied. Particular Solution A particular ...

Q: = f(z) = u + iv is analytic function then A) Ux = Vy and vx =-uy B) f'(=)=u, +iv, dw C) f'(=) = %3D ...

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Q: a. b. E-2(x¡ + Yi) + £i=2Yi c. E-1(X; * Yi) + E-1cYi

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Q: e different s the differ ソ-3

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: The given series is (2-4), 3-5, 4-6, ...

Q: (-9 -5 12 11' -3 1 5 B = -5 Given matrix A = -4 7 3 -7 -2 2 -9, For the following, use fractions (do...

A: We are given A=[-95-512-35106-40-53-7-22], B=[1157-9] to solve AX=B by doing LU decomposition of A

Q: are 2, 1, -3 аre he third eigen

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Q: 3. Calculate the surface area of this square-based prism to the nearest square foot. 2.6 ft 7.1 ft a...

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Q: 3 Find a basis of the subspace of R' defined by the equation -7x1 – 5x2 – 4x3 = 0.

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Q: If you have the following data set {70, 72, 67, 78, 70} and you add 85 to the data set, how much wil...

A:  the following data set {70, 72, 67, 78, 70} and you add 85 to the data set,

Q: { } -2 5 -8 2오 ㅜ

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Q: 1. 3x + y = 2 – 4x – 5y = 1 %3D

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish t...

Q: Golden Gate cables The profile of the cables on a suspension bridge may be modeled by a parabola. Th...

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Q: Special Scenarios: Find the solution to the following systems of equations: x = y + 1 2x - 2y =- 1 5...

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Q: 5. Points Pi (1,2,3), P2(-5,2,0), and P3 (2,7,-3 ) form a triangle in space. Calculate the area of t...

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Q: Evaluate the following surface integrals: || F. dS. (a) F = ri + yj + zk and S is the part of the pa...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: (Note: Round all answers to the nearest hundredths if necessary.) 9z - 36z – 16y-64y+116= 0 1) stand...

A: given equation 9x2-36x-16y2-64y+116=0 claim-  1) standard equation 2) center 3) vertices , axis    

Q: 3. Find the cube root of the given complex number: y= (4 – j3) i.e., find V(4 – j3)!. You may leave ...

A: Given: z=4-3j To find: Cube root of a given complex number.

Q: 11. A telephone booth in the shape of a square-based prism is to have a volume of 832 m³. Determine ...

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Q: How many negative divisors has the integer 90?

A: The divisors of 90 are all the numbers that we can evenly divide into 90.

Q: 2. The function R(x) = -1.07x2 + (K + 12.3)x – 116 shows the relation between the revenue (R) and nu...

A: Given: The function R(x)=-1.07x2+K+12.3x-116 shows relation between the revenue(R) and number of sol...

Q: Evaluate: sin-l z = - cos™(-3+j5) O -5.074-j2.957 -5.074-j2.957 D-5.074+j2.957 5.074+j2.957

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Q: Consider the function f(x1, x2,x3) = xỉ + 2x3 + 2x3 + 2x1x2 + 2x2x3. Verify whether the vector d =(-...

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Q: Question 16 * 16. The derivative of the function h(x)=In(1–3x)is 3 = (x).4 1-3х A B h'(x)=-3ln(1–3x)...

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Q: Pund Irad B d Laplaaaner B 372+42, 67 let Bz dw B Cur LB

A:  A(x, y) = P(x, y) + i Q(x, y) represents a function of x and y. The transformation equations are z=...

Q: a. Find the solution by graphing. b. Check if the point (F-16, F+4) is a solution for the system.

A: This is a problem of linear inequality, system of equations.

Q: Let P(n) be a variable proposition. Assume that both BC (the base case(s)) and IH (the inductive hyp...

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Q: 5. I. Given the logarithmic equation logo5 4 -2. Its exponential form is 4-2 0.5. II. Given the loga...

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Q: 5. Suppose repetitions are not permitted. (a) Find the number of three-digit numbers that can be for...

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Q: 1. Evaluate the line integral -ds y+z where C is the curve r= y², y + z = 4 from (4. 2, 2) to (0,0, ...

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Q: Advanced Math Question

A: From the distance formula, we know that the distance between two points (x1, y1) and (x2, y2) is x2-...

Q: Sam constructed a shape using polygons as shown in the diagram below. 9 cm 3 cm 3 cm 5 cm 15 cm 10 c...

A: We know that,The area of triangle is 12×b×hwhere, b=baseh=heightThe area of rectangle is l×wwhere,l=...

Q: 2. I. If log a = 3, then a 0.001. II. If log r = -5, then r = 10000.

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