Compute the value of each summation.
a) Σj=1,8 (j + 2j + 1)
b) Σj=1,5 Σk=2,4 (jk - k)
Compute the value of each summation. a) Σj=1,8 (j + 2j + 1) b) Σj=1,5 Σk=2,4...
.1. Write a Python script for compute P50 k=1 P100 j=−2 (k − 2j) 2. It is clear that the cardinality of the Natural numbers is no more than the cardinality of the Rational numbers. Show that Rational numbers have cardinality no greater than the natural numbers (and therefore they have the same cardinality). 3. Prove (by contradiction) that the real numbers are uncountable.
question about linear algebra 21. The following two lines := -i+j+ k + t(2i - 2j - 2k), t e R r and y2 1 = 2 -1 intersect each other. What is the equation of the line (where s E R) passing through the intersection point of these two lines and perpendicular to both of them? r -ijk s(i - j - k) (a) (b) r i2j+3k + s(i - 2j + 7k) (c) (d) rsik) (e) =j-k s(i...
1. Summation notation. Simplify each summation and state what property of summation you've used to make the simplification. Note: X and Y are random variables and k is a constant. (b) ¿xx (c) (x + ya WEDI
1. Summation notation. Simplify each summation and state what property of summation you've used to make the simplification. Note: X and Y are random variables and k is a constant. (b) ¿xx (c) (x + ya WEDI
Please answer all using MATLAB Find the distance between points P1=(3,-1,5)P1=(3,-1,5) and P2=(2.1.-1). Find the distance between points P1=(1.-5,4)P1=(1.-5,4) and P2=(4,-1,-1)P2=(4,-1,-1). Calculate the dot product of c=(-4,-9)c=(-4,-9) and d=(-1,2) — Find the dot product of 2i+j-k and į +2j Example 5 Find the Maclaurin series for (1+x)" Example 4 Find the Taylor series of the cubic function 23 about <= 3.
Write a MATLAB code to compute the summation of the integers from 1 to 1000 by using for-end loop command. Your code should display the value of the summation within the following statement (using fprintf command): The value of the summation of the integers from 1 to 1000 is ???.
1. Simplify the following expression a. j22 = b. 2j? +3j* = C. (5j?) = d. j j = f. 3j(2j? –5j)= g. 6xjº +2yj“ + 4xj +5yje =
(1 point) Suppose u 2i +2j + 5k, v = -4i - k and w Compute the following values: -i-4j+ 2k. Jul v=| 4 1-7ul+8v 6v+w 2u W- w 1 w
3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal to a and b. _ [3 marks] (b) Show that the vector from (a) is orthogonal to a and b. [1 mark]
(5 points) Suppose the joint probability mass function (pmf) of integer- Y ī PlX = í,ys j) = (i + 2j)o, for 0 í valued random variables X and < 2,0 < j < 2, and i +j < 3, where c is a constant. In other words, the joint pmf of X and Y can be represented by the table: Y=2 |Y=0 Y=1 X=0| 0 2c 4c 3c 4c 5c X=21 2c (a) Find the constant c. (b) Compute...