Use Forward Gregory-Newton Interpolation formula to find a polynomial passing through the points (-1,7), (0,13), (1,9), (2,7), (3,19), (4, 57). Hint: Construct a difference table first.

Q: * When a cold drink is taken from a refrigerator, its temperature is 4 degrees Celsius. After 20…

A: Please see the attachment

Q: The Q graph shows a city's daily rate of use of electricity (in millions of kilowatts). Estimate the…

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Q: L-1 (s+1) (s²-1)

A: We have to solve given problems;

Q: Consider the rotated ellipse defined implicitly by the equation 132²-32zy +37y²-45. The quadratic…

A: Given : rotated ellipse defined implicitly by the equation        13x2-32xy+37y2=45…

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 5x1 + 2x2 + x3 = 0 2x1 + x2…

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Q: 6. Find the intersection of the line I and the plane . 1:7=(4,-1,4) +t(5,-2,3) 2x+5y+z+2=0

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Q: What is the class width (i) if one of the class interval is 18-26?

A: If class interval given is 18-26 The class width is difference between upper interval and lower…

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Q: Find the surface area give y^2 +4x =2lny, 0, 0≤y≤3  ; about the  x-axis.

A: We have to find the surface area give y2 + 4x = 2lny , 0 ≤ y ≤ 3 ,  about the  x-axis.

Q: A B 0 C D -1 168 - 168 4 8 12 Evaluate 6 12 18 7 14 21

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Q: This question is about the function f(0) = (0 - 3) cos(0). (a) Explain why the graph of f lies on or…

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Q: (4) In finance, a zero coupon bond is a contract that pays out one dollar at maturity. The problem…

A: F(t,r;λ)=e-aϕ(t)-rψ(t)F(0,r;λ)=e-λr=e-aϕ(0)-rψ(0)⇒ϕ(0)=0⇒ψ(0)=λ put F(t,r;λ) in given differential…

Q: Express each of the following in the form a + bi. 4. cosh(1-12)

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Q: Solve the following exponential equation. Express the solution in terms of natural logarithms or…

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Q: (11): pxy+pq+qy=yz (12): p²+q²-2px-2qy+1=0 ential Equation

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Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 2, 1) in the direction…

A: The solution is given as

Q: 5. Solve the polynomial inequality analytically. Be sure to look at the inequality symbol to…

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Q: Suppose A is an invertible symmetric matrix. Then the inverse of A is also symmetric. A) True B)…

A: We can solve this using the definition of symmetric matrix and row equivalence

Q: Determine whether each of the following vector fields F is a gradient field or not. If it is a…

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Q: -a b C Evaluate-2a +4x 2b-4y 2c +42 x -Y 2

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Q: Find the la place transform of the following. Simplify your answer. 3+ e J f(t)= t

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Q: 2. Write the equations of functions satisfying the given properties, in expanded form. a. Cubic…

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Q: y≤ 1/3 x - 2 y<-2æ+9 y ≥ 3/x-31 6 y ≤ 4x − 2 VI

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Q: 8. Lt²e-2t + etcos2t + 3}

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Q: TRUE OR FALSE 10. Addition and Simplification can be applied to part of lines of proof. 11. If p, q,…

A: The given logical statements are identified as True or False as shown below.

Q: can you continue with e and f please? following the same ball scenario

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Q: 1. In symbols, if c is a constant, then [c] = 2. If n is any real number, then [x"]= 3. If k is any…

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Q: inner - Product space & to itself such that

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Q: 4. We have the temperatures in several cities of Spain: Aviles (11°C), Barcelona (17°C), Madrid…

A: Introduction: A trendy deviation (or σ) is a degree of ways dispersed the facts is when it comes to…

Q: Construct the truth table for the following 1. p V q 2. p ^ -q 3. (p A q) V ¬(p V q)

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Q: Compute for the indicated power, following the format   a. x, y, n   b. modulus   c. reference…

A: According to our guidelines we have to answer three subparts if question with multiple subparts is…

Q: Solve the following problems showing detailed solutions.Draw the complete figures for each…

A: The area bounded by: x=y3+3 , x=0, y=0 and y=2 The region is  (here eq1:x=y2+3 ,eq2:x=3, eq3:y=0,…

Q: For what value(s) of k is the matrix not invertible? Blank 1 Blank 1 Add your answer k k k 0 k² 2 k…

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Q: →XX Y be defined as f (a) = (f₁ (a). f₂ (a)) each a A, Then f is continuous if and only if the…

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Q: Find the gradient of the function g(x,y) = xy at the point (5, -1). Then sketch the gradient…

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Q: A B D -1 168 0 - 168 4 Evaluate 6 7 8 12 12 18 14 21

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Q: A B C D 168 0 - 168 -1 48 12 Evaluate 6 12 18 7 14 21

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Q: My institutional account is requiring me to include six exact characters for my password, two of…

A: Given: Conditions to create a password for an institutional account.To find: Total number of…

Q: find the points on the surface + z² = 1 that have their tangent plane perpendicular to the vector…

A: For tangent plane of the surface f(x,y,z)=k at a given point normal vector to tangent plane  will be…

Q: Find the laplace transform of the following. Simplify your annuer. • f (+) = 4+e²¹ t

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Q: Suppose an image is saved as a matrix with a Singular Value Decomposition: A = USVT. Let the vector…

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Q: Decoding a Message The cryptogram below was encoded with a 2 x 2 matrix. The last word of the…

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Q: f(x) = [sin x if 0 T

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Q: Find the rate of change of the function fin the direction of PA. Also find the maximum value of that…

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01) xe…

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Q: Suppose that the function fis defined as follows. -2 if -2.5 <x< -1.5 -1 if -1.5<x<-0.5 f(x) = 0 if…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: 1 The integral ³5√1-9x²dx is to be evaluated directly and using a series approximation. (Give all…

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Q: 18 Ln=1 sin() √n is 2 Converge a. 1 b. c. d. Diverge

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Q: Consider the region enclosed by the curves y = f(x) = x^3 + x,  x = 2, and the x-axis. Rotate the…

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Q: Laplace Inverse Transform of S-1 3²(5+3)

A: We have to find the inverse Laplace transform of s-1s2(s+3) i.e. ℒ-1s-1s2(s+3).