Statu Ekspoalcnsian ha rigonometri Baru saja Bentuk lain dari e* adalah: e =e*tiy=e ey = e*(cos y +i sin y) Contoh !e2- Note:cos(-0) cos@ dan sin(-0)=sin ele =cOse+i sin e-18=cose-i sin Tentukanlah hasil dari e-e- dan e+ e-ie 16 Fungsi Trigonometri Bilangan Kompleks eln-e-i0 sin @ = 2i cose = 81-2+m Tentukanlah nilai dari: cosi= in(+In 2) = (jika ef/2 = i, e-ir/2 = -i,eln 2 = 2,e-in 2- Buktikan sin2 z+Cosz=1 sin Fungsi Hiperbolik Tentukan persamaan dari sin iy dan cos iy dengan menggunakan persamaan sebelumnya! Setelah didapat persamaan di atas, baru lah di dapat fungsi yang dinamakan dengan sinus dan cosinus hiperbolik. Secara matematis dapat ditulis Buktikan coshz - sinh2 z 1 18 Logaritma

Q: Y Find det A 1SA - TAI = T.

A:

Q: tsmat

A: Topic : Laplace transform

Q: Find RS. RA O 8 O 12 13 24

A:

Q: . Find x R 12.5 x + 5 V 7.5 x- 5 T

A: Given:

Q: Add. -3 + (-7) + 6

A:

Q: Select the corect answer a. (s-3 Ob. (s-3) Oc 1 (s–3)? Od. (s–2)} O e. 1 (s–3)

A:

Q: e. In OP, mAB = 43, and AC = DF. Find AC.

A:

Q: Can someone show the steps on how to find the question 2 using SPSS

A: 2. Let 'X1' be the random variable represents the torque force for Group 'distance 1' Let 'X2' be…

Q: .3 , Ry* In y dy

A:

Q: 1. Find x and y yo 35

A:

Q: Find AB.

A:

Q: Consider a linear regression model where y represents the response variable, x is a quantitative…

A: (a)   Intercept shift down by 4.3 units as d changes 0 to 1   (b)  y= 18.3 answer

Q: One questions with "parts"

A: Solution: Given information: n= 253  Sample size  x= 111 succesess  p= 0.50 Population proportion…

Q: let (xev/x. y) dx – x dy=0 which is a homogeneous differential equation.

A: Given:

Q: Simplify. 3 4 (ر2) )xy-) 2y²z

A:

Q: 16 b.) Find "h" 14 Ø 18

A: Solving the problem by finding the value of h.

Q: If a = [5,-2,1] and b.= [-1,-3,4], find | -a + 2b |

A:

Q: Find the exact value of x. 9V2 9V2

A:

Q: We expect a car's highway gas mileage to be related to its city gas mileage. Data for all 1198…

A:

Q: If a = (-2, 10,-5) and b= (2,-3, 6), find a-b. O a. -64/271 O b.-64 C. -128 O d.-32. O e.-21

A:

Q: Irā = (-4, –8) and b = (-2, –6). ind |2.5å – 36 O -6 O 4/2 O 20 O 2/5

A: Explanation of the answer is as follows

Q: A. 1. Show that AAEB ACED

A:

Q: For the above question, why are they negative?

A: Using All-sin-tan-cos rule we know that: So in third quadrant, only tan and cot are positive. sin,…

Q: After separating the variables, the differential equation takes the form 2x gly) dy= 0. Compute f(-…

A:

Q: SHOW How LETTERS

A: The word for the arrangement is "DODGERS".

Q: y = 3x + 272 24 ਮ

A:

Q: If mBC = 120 and mAD = 50, what is the measure of 21? а. 60 b. 85 с. 90 d. 95

A: Interesting chords theorem: If two chords intersecting inside the circle then the measure of the…

Q: .Complete: The train .... at 12 PM-6 a- do not leave O b- does not leaves O c- leave O d-does not…

A: Solution: The train..........at 12 PM

Q: Let me ask which step goes in which box?

A: We have to explain the steps.

Q: If S f(z)dz =, then , f(x)dr is, О a. - 4/3 O b.-3/4 Oc.4/3 O d. 3/4

A:

Q: -1 5 A = [ 0 2 10 1. 8. 9. 7

A: We have to find determinant first.

Q: 3. р Л~ q

A: To write the truth table for p∧~q

Q: Find et, where A = 5 3 -3 -1

A: Given That : Matrix A=5-33-1. To Find : eAt

Q: Evalmate: 3/2 Cas 3x) dx

A:

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.