1) If 3iis a zero of p(z)=az2+z3+bz−27, find the real numbers a and b. Enter them...
1) If 3iis a zero of p(z)=az2+z3+bz−27, find the real numbers a and b. Enter them in the form a,b
2) Factorise p(z)=z3−2z2+z−2 into linear factors. Enter them in the format z+3+I, z-6+5*I.
3) Consider p(z)=iz2+z3−2iz−4z2+i+5z−2. Given that z=2−i is a zero of this polynomial, find all of its zeros. Enter them in the form 2+3*I, 4+5*I, 6-7*I
Homework Answers
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1) If 3iis a zero of p(z)=az2+z3+bz−27, find the real numbers a
and b. Enter them...
Consider p(z) = 2 i 22 + x3 – 4 iz-4-2 +2 i +5 z– 2....
Consider p(z) = 2 i 22 + x3 – 4 iz-4-2 +2 i +5 z– 2. Given that z= 2 – 2 i is a zero of this polynomial, find all of its zeros. Enter them in the form 2+3*1, 4+5*1, 6-7*|
1. Using the argument principle, find the number of zeros of the polynomial p(z) = 2€...
1. Using the argument principle, find the number of zeros of the polynomial p(z) = 2€ + 4z4 + 2? + 2z2+z+5 in the first quadrant.
Find the zeros of the polynomial function and state the multiplicity of each zero. (Enter your...
Find the zeros of the polynomial function and state the multiplicity of each zero. (Enter your answers from smallest to largest.) P(x) = (x2 - 9)(x + 4)2 Zero Multiplicity ? X = X = ? х ? Evaluate the determinant by expanding by cofactors. 3-4 6 3-4 0 0 5 MOO
2. Suppose that you were to try to find a parabola y az2 +bz c that passes through the (x, y) pairs (-4,7), (-1,-3), and (1,6). To obtain the coefficients a, b, and c you would try to solve a system...
2. Suppose that you were to try to find a parabola y az2 +bz c that passes through the (x, y) pairs (-4,7), (-1,-3), and (1,6). To obtain the coefficients a, b, and c you would try to solve a system of linear equations whose augmented matrix is which of the following? 16 -4 1 49 16 -4 1 7 (a)9-1-3(b)11 1 9(1-1 1 -3 36 1 1 6 49 7 1 16 (d)1 -3 1-1(e)9 3 1 1 36...
The polynomial of degree 3, P(x), has a root of multiplicity 2 at5 and a root of multiplicity 1 at z3. The y- intercept is y37.5. Find a formula for P(z). P(x)- Preview Get help: Videc License...
The polynomial of degree 3, P(x), has a root of multiplicity 2 at5 and a root of multiplicity 1 at z3. The y- intercept is y37.5. Find a formula for P(z). P(x)- Preview Get help: Videc License Points possible: 1 Unlimited attempts. Submit Write an equation for the polynomial graphed below -2 -3 y(x)- Preview Get help: Video Points possible: 1 Unlimited attempts. Submit Search or type URL calculus Section 22 Spring 2019> Assessment Write an equation for the polynomial...
Question 31 Given a zero of the polynomial function, find the remaining zeros. Then, write the...
Question 31 Given a zero of the polynomial function, find the remaining zeros. Then, write the polynomial as a product of linear factors i completely factored form). f(x) = x3 - x2 + 9x - 9; zero: 1 o f(x)=(x - 1)(x + 3i)(x - 3i) o f(x) = (x - 1)(x + 1)(x2 +9) O f(x) = (x + 1)(x + 3i)(x - 3i) o f(x) = (x - 1)(x + 3)(x - 3) O f(x) = (x +...
5) Consider the polynomial P() z2-z-1. (a) Find two integers n, m E Z, so that P(x) has a zero in...
5) Consider the polynomial P() z2-z-1. (a) Find two integers n, m E Z, so that P(x) has a zero in [n, m. (b) Use the bisection method twice to get an approximation to the zero of P(x) in n, m] (c) Use Newton's method twice to get an approximation to the zero of P() in n,m (d) Use the quadratic formula to find the actual zero of P() in [n, m (e) Compute the relative %-error for each of...
For the polynomial below, 3 is a zero. g(x) = x3 + 3x2 – 5x -...
For the polynomial below, 3 is a zero. g(x) = x3 + 3x2 – 5x - 39 Express g (x) as a product of linear factors. 8(x) = 0 x 5 ? Find all other zeros of P(x) = x + x + 4x + 30, given that 1 – 3i is a zero. (If there is more than one zero, separate them with commas.) x 6 ? The figure below shows the graph of a rational function f. It...
Find a. P(Z=1.32) b. P(Z>5) c. P(-1<Z<1) d. P(-2<Z<2) e. P(-3<Z<3) (c, d, and e form...
Find a. P(Z=1.32) b. P(Z>5) c. P(-1<Z<1) d. P(-2<Z<2) e. P(-3<Z<3) (c, d, and e form what is called the Empirical Rule. Look it up!) f. The 20th percentile of Z g. The z value with 5% area to its right. please show all work not just answers and do all of them please and thank you will rate high
Projections and Least Squares 3. Consider the points P (0,0), (1,8),(2,8),(3,20)) in R2, For each of the given function types f(x) below, . Find values for A, B, C that give the least squares fit to...
Projections and Least Squares
3. Consider the points P (0,0), (1,8),(2,8),(3,20)) in R2, For each of the given function types f(x) below, . Find values for A, B, C that give the least squares fit to the set of points P . Graph your solution along with P (feel free to graph all functions on the same graph). . Compute sum of squares error ((O) -0)2((1) 8)2 (f(2) -8)2+ (f(3) - 20)2 for the least squares fit you found (a)...
Consider p(z) = 2 i 22 + x3 – 4 iz-4-2 +2 i +5 z– 2. Given that z= 2 – 2 i is a zero of this polynomial, find all of its zeros. Enter them in the form 2+3*1, 4+5*1, 6-7*|
1. Using the argument principle, find the number of zeros of the polynomial p(z) = 2€ + 4z4 + 2? + 2z2+z+5 in the first quadrant.
Find the zeros of the polynomial function and state the multiplicity of each zero. (Enter your answers from smallest to largest.) P(x) = (x2 - 9)(x + 4)2 Zero Multiplicity ? X = X = ? х ? Evaluate the determinant by expanding by cofactors. 3-4 6 3-4 0 0 5 MOO
2. Suppose that you were to try to find a parabola y az2 +bz c that passes through the (x, y) pairs (-4,7), (-1,-3), and (1,6). To obtain the coefficients a, b, and c you would try to solve a system of linear equations whose augmented matrix is which of the following? 16 -4 1 49 16 -4 1 7 (a)9-1-3(b)11 1 9(1-1 1 -3 36 1 1 6 49 7 1 16 (d)1 -3 1-1(e)9 3 1 1 36...
The polynomial of degree 3, P(x), has a root of multiplicity 2 at5 and a root of multiplicity 1 at z3. The y- intercept is y37.5. Find a formula for P(z). P(x)- Preview Get help: Videc License Points possible: 1 Unlimited attempts. Submit Write an equation for the polynomial graphed below -2 -3 y(x)- Preview Get help: Video Points possible: 1 Unlimited attempts. Submit Search or type URL calculus Section 22 Spring 2019> Assessment Write an equation for the polynomial...
Question 31 Given a zero of the polynomial function, find the remaining zeros. Then, write the polynomial as a product of linear factors i completely factored form). f(x) = x3 - x2 + 9x - 9; zero: 1 o f(x)=(x - 1)(x + 3i)(x - 3i) o f(x) = (x - 1)(x + 1)(x2 +9) O f(x) = (x + 1)(x + 3i)(x - 3i) o f(x) = (x - 1)(x + 3)(x - 3) O f(x) = (x +...
5) Consider the polynomial P() z2-z-1. (a) Find two integers n, m E Z, so that P(x) has a zero in [n, m. (b) Use the bisection method twice to get an approximation to the zero of P(x) in n, m] (c) Use Newton's method twice to get an approximation to the zero of P() in n,m (d) Use the quadratic formula to find the actual zero of P() in [n, m (e) Compute the relative %-error for each of...
For the polynomial below, 3 is a zero. g(x) = x3 + 3x2 – 5x - 39 Express g (x) as a product of linear factors. 8(x) = 0 x 5 ? Find all other zeros of P(x) = x + x + 4x + 30, given that 1 – 3i is a zero. (If there is more than one zero, separate them with commas.) x 6 ? The figure below shows the graph of a rational function f. It...
Projections and Least Squares
3. Consider the points P (0,0), (1,8),(2,8),(3,20)) in R2, For each of the given function types f(x) below, . Find values for A, B, C that give the least squares fit to the set of points P . Graph your solution along with P (feel free to graph all functions on the same graph). . Compute sum of squares error ((O) -0)2((1) 8)2 (f(2) -8)2+ (f(3) - 20)2 for the least squares fit you found (a)...
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