Unit 1 - Mathematics for engineering

Question 1

logM + logN = ?

Answer 1

log (MN)

Question 2

logM - logN = ?

Answer 2

log(M/N)

Question 3

K logM = ?

Answer 3

log(M^K)

Question 4

log(1) =

Answer 4

0

Question 5

logB(B^K) =

Answer 5

log(K)

Question 6

LogB(B) =

Answer 6

1

Question 7

ln a + ln b =

Answer 7

ln ab

Question 8

ln e =

Answer 8

loge(E) = 1

Question 9

What is y radians in degrees?

Answer 9

(180/ pi) x y

Question 10

What is y degrees in radians?

Answer 10

(pi/ 180) x y

Question 11

What is 45 degrees in radians and why?

Answer 11

45 degrees = pi/4
This is because 360 degrees = 2pi radians. So 180 degrees is one pi and 180/45 = 4 which is equal to pi/4.

Question 12

What is the equation for arc length in degrees?

Answer 12

(θ/350) x 2 x pi x r

Question 13

What is the equation for arc length in radians?

Answer 13

θ x r

Question 14

What is the equation for area of a sector in degrees?

Answer 14

(θ/360) x pi x r^2

Question 15

What is the equation for area of a sector in radians?

Answer 15

(1/2) x r^2 x θ

Question 16

What is the sine rule?

Answer 16

a/ sinA = b/sinB = c/sinC

Question 17

What is the Cosine rule?

Answer 17

a^2 = b^2 + c^2 - 2bc Cos(A) or Cos(A) = (b^2 + c^2 - a^2)/(2bc)

Question 18

In which situation do you use the sine or cosine rule?

Answer 18

If you know a side and its opposite angle, use the sine rule. Otherwise use the cosine rule. These rules are used in non-right angled triangles.

Question 19

How do you find the area of non-right angled triangles when you have SAS?

Answer 19

Use one of the formulas=
Area = (1/2) x b x c x SinA
Area = (1/2) x a x c x SinB
Area = (1/2) x a x b x SinC