Use the inner product < f,g >= = f(x)g(x)da in the vector space Cº[0, 1] to find the orthogonal projection of f(x) = 2x² + 4 onto the subspace V spanned by g(x) = 1 - proi (f) and h(x) = 1.

Q: Find the interpolating polynomial of the following points or functions using Newton's

A: Given: The points -2, 2, -1, -2, 1, 3 and 3, -3. To find: Interpolating polynomial.

Q: What is the main condition in polynomial interpolation?

A: Interpolation polynomial: A polynomial Px is called an interpolating polynomial if the value of Px…

Q: Fxx is correct but Fxy is not 0.

A: The given function is f(x,y)=x4-5xy3+6y5 We have to find the fxx(x,y) and fxy(x,y)

Q: Let X- N (8, 64), Find P ( 8< X< 16).

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Find A x Bx C where A = {4,6},B={14,18} , C = {0}. O (4,14,0), (4, 18,0), (6, 14, 0), (6, 18, 0) O…

A: given A={4,6}B={14,18}C={0}

Q: Explain the other notation which is commonly used for ak in the Newton form of the interpolating…

A: The Newton interpolation polynomial are calculated as: \

Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

A:

Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

A:

Q: Find the meteix A of the Lineak teansfoRmati on foom IRto IR . 2. given by x2

A:

Q: 6-7. Let R be the region above the x-axis bounded by x = y² – 2, x = 6 – y² and y = 0. 6. Find the…

A: By the answering guidelines for we are restrict to do only first question if  questions are given

Q: Use Newton’s Divided Difference Formula to interpolate f (1), if the polynomial has given points…

A: We have to interpolate f(1) using Newton's Divided Difference Formula.

Q: what are polynomials?

A: A polynomial is an algebraic expression with 2 or more terms with non-negative integer powers and…

Q: What is Sum of Squares in f test?

A: In ANOVA, “SS” stands for “sum of squares”, “df” stands for degrees of freedom, F is for the test…

Q: What is a polynomial in x?

A: The x happening in a polynomial is generally referred to as a variable or an indeterminate. When the…

Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial passing through the points…

A: The Forward Gregory-Newton Interpolation formula is defined as:…

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: х-2 y = at [-1,1] x²+1

A: The given problem is to find interpolating polynomial for the given function and interval using…

Q: Vx x² >0

A: Integer, whole-valued positive or negative number or 0. The integers are generated from the set of…

Q: feois Pdf find

A: f(x) is the probability density function if the area under the curve is one and f(x)&gt;0

Q: Showthat dz du

A: I am attaching image so that you understand each and every step.

Q: Define the Newton form of the interpolating polynomial?

A:

Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

A:

Q: Compute r2

A: Given the calculated values, t value, t = 2.17

Q: f={(-4,-7), (1,-4), (8,1)} and g={(-7,9), (1,8), (3,7)} find g of f

A: Given query is to find the composite function g of f

Q: (a) | V3 +1 dr

A:

Q: (AUB) = ACNBC. Show that P(ACNBC) = 1- P(A) - P(B) + P(ANB)

A: P(Ac∩Bc)=1−P(A)−P(B)+P(A∩B)

Q: Are u able to do polynomial fitting without any mathematical tool? Why?

A: Polynomial fitting manually: a: Polynomial coefficient k: degree of polynomial N: no. of points to…