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Find the indicated limit, if it exists.

limit of f of x as x approaches 0 where f of x equals 5 x minus 8 when x is less than 0 and the absolute value of the quantity negative 4 minus x when x is greater than or equal to 0

-4

-12

-8

The limit does not exist.


help me please and show work please
Find a ⋅ b.

a = 10i + 9j, b = 4i + 3j

<40, 27>

<14, 12>

67

-13


help me please and show work please
Find a ⋅ b.

a = <2, 4>, b = <2, 5>

<4, 9>

24

<4, 20>

16


show work please and explanation please
Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <6, -2>, v = <2, 6>

Neither

Orthogonal

Parallel


show work and explanation please
Find the angle between the given vectors to the nearest tenth of a degree.

u = <6, -1>, v = <7, -4>

20.3°

10.2°

0.2°

30.3°

show work and explanation please
Evaluate the expression:

v ⋅ w

Given the vectors:

r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>


help me and show work please
Let u = <-3, -5>, v = <-3, 1>. Find u + v.

<-2, -8>

<-8, -2>

<0, -6>

<-6, -4>


help me please show work
Let u = <4, 3>. Find the unit vector in the direction of u, and write your answer in component form.

Vector with two components. First component, four divided by seven. Second component, three divided by seven.

<1, 1>

Vector with two components. First component, four divided by five. Second component, three divided by five.

Vector with two components. First component, four divided by twenty five. Second component, three divided by twenty five.


help me please
Let u = <-5, 1>, v = <7, -4>. Find 9u - 6v.
<18, 18>

<-87, 33>

<-36, -18>

<-3, -15>


how can i solve it plzz
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is 16°18'. When the boat stops, the angle of depression is 48°51'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.

show work and explanation please
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