Question

In: Advanced Math

let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5 a- Using standard polynomIAL ADDITION ,what polynomial ax^2+bx+c can...

let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5

a- Using standard polynomIAL ADDITION ,what polynomial ax^2+bx+c can be expressed as linear combination of p1(x),p2(x),p3(X),p4(x)

b- a polynomial is equal to zero if and only if all it's coefficient to zero . solve for a1,a2,a3,a4 by expanding ,written as polynomial in x,and setting each coefficient equal to zero:

a1p1(x)+a2p2+a3p3(x)+a4p4(x)=0

Solutions

Expert Solution

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

Let pi = P(X = i) and suppose that p1 + p2 + p3 + p4...
Let pi = P(X = i) and suppose that p1 + p2 + p3 + p4 = 1. Suppose that E(X) = 2.5. (a) What values of p1, p2, p3, and p4 maximize Var(X)? (b) What values of p1, p2, p3, and p4 minimize Var(X)?
Consider the polynomial f(x) = 3x 3 + 5x 2 − 58x − 40. Using MATLAB....
Consider the polynomial f(x) = 3x 3 + 5x 2 − 58x − 40. Using MATLAB. Find the three roots of the polynomial, i.e, x where f(x) = 0, using Newton’s method. Report the number of iterations taken by each algorithm using a tolerance of 10−8 .
Using MATLAB, Consider the polynomial f(x) = 3x^3 + 5x^2 − 58x − 40. Find the...
Using MATLAB, Consider the polynomial f(x) = 3x^3 + 5x^2 − 58x − 40. Find the three roots of the polynomial, i.e, x where f(x) = 0, using: (i) Bisection method, and (ii) Newton’s method. Report the number of iterations taken by each algorithm using a tolerance of 10^−8 .
(x-1) is a factor of P(x) = x^3 - ax^2 + bx -10. When P(x) is...
(x-1) is a factor of P(x) = x^3 - ax^2 + bx -10. When P(x) is divided by (x+4) there is a remainder of 10. Determine the values of a and b.
Evaluate the integral (x^3+2x^2-4x+5)/(3x^2+x-10)dx
Evaluate the integral (x^3+2x^2-4x+5)/(3x^2+x-10)dx
The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d...
The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d ER, intersect at 2 points P and Q. These points are also two points of tangency for the two tangent lines drawn from point A(2,9) upon the parobala. The graph of the cubic function has a y-intercept at (0,-1) and an x intercept at (-4,0). What is the standard equation of the tangent line AP.
The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d...
The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d ER, intersect at 2 points P and Q. These points are also two points of tangency for the two tangent lines drawn from point A(2,9) upon the parobala. The graph of the cubic function has a y-intercept at (0,-1) and an x intercept at (-4,0). What is the value of the coefficient "b" in the equation of the given cubic function.
Solve for x x^4 + 2x^3 + 2x^2 + 3x + 1 = 0
Solve for x x^4 + 2x^3 + 2x^2 + 3x + 1 = 0
1. Consider the cubic function f ( x ) = ax^3 + bx^2 + cx +...
1. Consider the cubic function f ( x ) = ax^3 + bx^2 + cx + d where a ≠ 0. Show that f can have zero, one, or two critical numbers and give an example of each case. 2. Use Rolle's Theorem to prove that if f ′ ( x ) = 0 for all xin an interval ( a , b ), then f is constant on ( a , b ). 3.True or False. The product of...
. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f...
. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative prove that f '(x) = 6x + 5 Then, Find the tangent line of f(x) at x = 3 Finally, Find the average rate of change between x = −1 and x = 2
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT