How many equations would you need to compute a series of cubic splines of the form...

How many equations would you need to compute a series of cubic splines of the form ax^3 + bx^2 + cx + d to fit through 4 data points and why?

Expert Solution

The picture contains the solution to the problem. The number of equation required for each cubic spline is 4. But however the question ask for a series of cubic splines in which case the number of terms in series of cubic spline is dependent on the number of data point. In general if there is n point, the number of cubic spline that can be drawn is n-3. In which case the number of equation is 4(n-3).

Colby Messinger answered 2 years ago

How many grams of a sodium salt would you need to prepare 500 ml of a...

How many grams of a sodium salt would you need to prepare 500 ml of a buffer at pH = 3.29, using 0.100M solution

How many occupations can you list that would need to use scientific names for plants? How...

How many occupations can you list that would need to use scientific names for plants? How would these groups of people be affected by a change in names for plants?

How many ml of 4.00 M HCl would you need to add to 500.0 ml of...

How many ml of 4.00 M HCl would you need to add to 500.0 ml of a 150. mM sodium acetate solution to make a buffer with a pH of 4.5? The pKa for acetic acid is 4.756.

1) A) How many grams of C10H18 would you need to measure out to have 0.8...

1) A) How many grams of C10H18 would you need to measure out to have 0.8 mol? Give your answer to 2 decimal spaces. B) How many mol of C9H18 would you have if you have 86.71 grams? Give your answer to 2 decimal spaces

For each of the following unbalanced equations, calculate how many grams of each product would be...

For each of the following unbalanced equations, calculate how many grams of each product would be produced by complete reaction of 12.6 g of the first reactant. (a) TiBr4(g) + H2(g) → Ti(s) + HBr(g) Ti g HBr g (b) CO2(g) + H2(g) → CH4(g) + H2O(l) CH4 g H2O g (c) BaCl2(aq) + AgNO3(aq) → AgCl(s) + Ba(NO3)2(aq) AgCl g Ba(NO3)2 g (d) BaCl2(aq) + H2SO4(aq) → BaSO4(s) + HCl(aq) BaSO4 g HCl g

how many individual polarizers would you need to rotate a laser beams polarization axis by 90...

how many individual polarizers would you need to rotate a laser beams polarization axis by 90 degrees and lose only 5% intensity? what would be the relative angle between each polarizer

For each of the following balanced chemical equations, calculate how many moles of product(s) would be...

For each of the following balanced chemical equations, calculate how many moles of product(s) would be produced if 0.640 mol of the first reactant were to react completely. (a) BaCl2(aq) + 2 AgNO3(aq) → 2 AgCl(s) + Ba(NO3)2(aq) (b) S(s) + 2 H2SO4(aq) → 3 SO2(g) + 2 H2O(l) (c) C3H8(g) + 5 O2(g) → 4 H2O(l) + 3 CO2(g) (d) BaCl2(aq) + H2SO4(aq) → BaSO4(s) + 2 HCl(aq)

Question

How many equations would you need to compute a series of cubic splines of the form...

Solutions

Expert Solution

Related Solutions