(a) Kim stands at the top of a 285 metre tall skyscraper. From where they are standing, the angle of depression to their favourite restaurant is 9°. Further away in the same direction is their home, which is 4.086 km away from the point where Kim is standing. Draw a diagram representing this information and hence find the distance between Kim's home and favourite restaurant. (b) The formula for the average value of a function F over the interval a <¤< b is i) Find the average value of the function f(x) = -6x² + 16x + 28 on the interval 0 < a 0. Hint. Your answer will be a function of t.

Q: cant see the working out?

A: In the last response, the typed answer was not to be shown due to some technical error. Please…

Q: You are building a replacement trough for the company that built the faulty trough in the last…

A: This question can be solved using the concept of maxima and minima.

Q: 17.) Integrate: 4sec2xtan2x dx

A: I=∫4sec2xtan2xdx substitute u=2x→du/dx=2→dx=(1/2)du =2∫sec(u)tan(u)du=2sec(u)undo substitution…

Q: a. Jx-2 + 6x² dx Jr b. Setanx sec²x dx tana c. S 2x+ 6 dx x2-3x,

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: æ+ 6 +3x

A: The integral ∫x2-x+6x3+3xdx, we have to evaluate the value of this integral.

Q: nclosed by x = y, x = 2 - y and the x-axis?

A: And: 5/6

Q: t.

A:

Q: dz (Your answer should be in exact form.) Add Work

A: To Evaluate: ∫3∞x·e-3xdx

Q: I need help because due tmr I dont know how to do this

A: Question 4: The graph of the function is shown as:   y = - 3 x4

Q: -2 2dx х2 — 1 - 1

A:

Q: 12) Find the elasticity of demand when the price is 20 for the demand function 10x + 2p = 100

A: 12. The given demand function is 10x + 2p = 100 To find demand for price 20   13. Given y = 5x2 To…

Q: 17) 4x2 - 4y2 = -48 2x2 +2y2 = 40 %3D %3D

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.