Question Section 1.3 Matrix Arithmetic: Problem 1 Previous Problem Problem List Next Problem (1 point) If A= [ 2 -1 [ 3 -3 -31 -4 1 and B= 3 4 | 4 -1 | 4 -4 01 2 1 , -2 -3] then AB= 18! and BA=

Find a polynomial of degree 3 that has a maximum at the point (−4,7) and a minimum at the point (−3, −3). f (x) = Observation: The derivative of a polynomial is zero at its maxima and minima. (1 point) Encuentra un polinomio de grado 3 que tenga un máximo en el punto (-4, 7) y un mínimo en el punto (-3, -3). f(3) = Observación: La derivada de un polinomio es cero en sus máximos y mínimos. =

A 177-turn circular coil of radius 2.19 cm and negligible resistance is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. The coil is connected to a 17.7 resistor to create a closed circuit. During a time interval of 0.115 s, the magnetic field strength decreases uniformly from 0.573 T to zero. Find the energy E in millijoules that is dissipated in the resistor during this time interval. ป E=

Phylogenic trees represent hypotheses of relatedness based on evidence. What is a common mistake taxonomists can make when attempting to place seemingly closely-related species into a phylogenic tree? A. The two species share many structural proteins, genes, and metabolic pathways. B. The two species share an evolutionary history based upon matching DNA. C. The two species seem to be located in the same region on the planet. D. The two species share similar morphology or character traits.

Find the smallest natural number $n>1$ such that $2^n > n^{1000} $ It seems with numeric methods that the correct answer is 13747. But I'm still puzzled what is the correct rigorous analytical aproach to solve this particular problem and other similar problems?

True/False a. \( 5 n^{2}+3 n * \log (n)+2 n+5=O\left(n^{2}\right) \) : Dominant term b. \( 5 n^{2}+3 n * \log (n)+2 n+5=\Omega\left(n^{3}\right) \) c. \( 5 n^{2}+3 n * \log (n)+2 n+5=O(n * \log (n)) \) d. \( 5 n^{2}+3 n * \log (n)+2 n+5=\Omega(n) \) e. \( 3 n * \log (n)-2 n=\Theta(n) \) f. \( 3 n * \log (n)+4 n+5 \log (n)=\Theta(n * \log (n)) \)

The table below shows the monthly cost of producing vintage model cars for collectors. Instructions: Enter your answers as a whole number. Fill in the missing values for total fixed cost, total variable cost, and total cost in the table below. Vintage Model Car Production Costs Output 0 100 200 300 400 Total Fixed Cost (dollars) $2,000 Total Variable Total The table below shows the monthly cost of producing vintage model cars for collectors. Instructions: Enter your answers as a whole number. Fill in the missing values for total fixed cost, total variable cost, and total cost in the table below. Vintage Model Car Production Costs Output 0 100 200 300 400 Total Fixed Cost (dollars) $2,000 Total Variable Total Cost (dollars) Cost (dollars) $2,000 $0 800 1,300 3,300 4,300