Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1 ≤ x ≤ 3. X 1 2 3 4 2 4 8 16

Q: Use a calculator to calculate the following to 3 decimal places: 1. sin(36.5°)= 2. cot(64.9°) = 3.…

A: We have given to find  1. sin36.50 = 0.594822 Rounding to 3 decimal places  sin36.50 = 0.595 2.…

Q: 2) A plane is flying at an altitude of 12,000 m. From the pilot, the angle of depression to the…

A: Given that angle of depression of base of tower from airplane is 32°, height of the plane above…

Q: Find csc 0. 10 A) csc 0- √149 7 B) csc 0. 7/149 149 9-√149 10 C) csc 0- D) csc 0-10√/149 149

A:

Q: 4)

A: The radius of the circle is 1 unit

Q: Problem 1. Draw a graph of the unit circle, then find the terminal points of the following radian…

A:

Q: Write an equation of the form y = A cos (x-C) + D, where C is between 0 and л, whose graph is the…

A:

Q: Consider the function below. -4 -2 4 0 № -4 ·N- 2 4

A: First we find the midline of the graph

Q: Statement cotx (sec²x - 1) = = = cosx -(sec²x - 1) sinx cosx sinx cosx sinx sinx COS.X = tant…

A:

Q: y=(x) show! the right, lind the absolute A. The absolute maximum of y=f(x) is f(1) = 6. (Type…

A: Topic-absolute maximum ,absolute minimum, Local maximum and local minimum of a function. Absolute…

Q: I. Find the derivative of the following inverse trigonometric functions. 4. y = (x − 1)V2x − x2 +…

A: y=x-12x-x2+arcsinx-1

Q: What is the period of the function graphed below? T 0 2T 02 2.5 in

A:

Q: 14. A surveyor drew the sketch below to show the measurements he took to determine the width and…

A:

Q: A radio station tower was built in two sections. From a point 82 feet from the base of the tower,…

A:

Q: 1) r = 8cm, length of QP = 12cm 3) r = 10m, length of QP = 5m 5) r = 20cm, length of QP = 8cm

A:

Q: The three forces acting on the beam can be replaced with a single equivalent force R. Determine the…

A: I am attaching image so that you understand each and every step.

Q: 3. How many cubic meters are in 1 gallon? Use the following conversion factors: 1 gallon = 3.79…

A:

Q: Find the equation of the linear function represented by the table below in slope- intercept form. X…

A: Find slope using any two points and then find y-intercept using any point

Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

A: From given graph  (a) x- intercepts are given as  x=-2,1 (b) domain is the values of x for which a…

Q: Given f(x) = x² - 4x +3, find the value(s) for x such that f(x) = 24. The solution set is n.

A:

Q: Du graph a) y 33 sin (27 3000 t) domain for

A: A wave of the form y=Asin(ωt) has amplitude A and time period 2πω.

Q: How did you get 2.727 in the 3rd step?

A: Given Equation sinx-π3=0.4

Q: sin 5x Show that = sin 5 is not an identity by finding a replacement or replacements for which the…

A:

Q: Please answer and show work for Create a geometric sequence with a common ratio of -4

A:

Q: C. The length of a rectangle is 4 inches more than its width. If 2 inches are taken from the length…

A: We have to find the dimensions of the rectangle.

Q: If sin(0) = - (a) cos(0) (b) tan(0) = (c) sec(0) (d) csc (0) = (e) cot (0) = = = 2 2 and is in…

A:

Q: Evaluate the formula E=z*σn​, where z*=2.576​, σ=32.63​, and n=40.   (Round to three decimal…

A:

Q: Problem 2: The point (-7, √3) is on the terminal side of standard position angle 0. (1) Find r and…

A: Please note that as per our guidelines, i can answer only one question.

Q: Find the exact value of the expression, if it is defined. If undefined, write undefined. sin…

A:

Q: A 400-foot tall monument is located in the distance. From a point on the ground, the angle of…

A:

Q: 7) O

A:

Q: Determine whether each number is an integer, a rational number, an irrational number, a prime…

A:

Q: 51. sinx cos x

A:

Q: Verifying a Trigonometric Identity In Exercises 49-60 verify the identity algebraically. Use a…

A: We have to solve istam one

Q: Write an equation of the form y = A sin (x-C) + D, where C is between - and л, whose graph is the…

A:

Q: Find the length of each arc if the radius is equal

A:

Q: 2) 8 Lo 11 C hyp opp to

A:

Q: 57 degrees 27’21”

A:

Q: If f(x) = 4x-5 3 x-2 if -4≤x≤2 if 2<x≤3 , find: (a) f(0), (b) f(1), (c) f(2), and (

A:

Q: olem 5: Consider a right triangle with right angle C. If b = 32ft and c = 51ft, find all missing…

A: Topic = Triangle As per guidelines , at a time only one question can be answered out of different…

Q: Algebra: What is the trigonometric value of cos330 deg.

A:

Q: 5. [-/3 Points] DETAILS Use the trigonometric substitution to write the algebraic equation as a…

A:

Q: Use a sum or difference formula or a half angle formula to determine the value of the trigonometric…

A:

Q: 一寸 34 2 -2 114 t

A:

Q: Change each degree measure to radian measure in terms of π 8. 14. 20.

A: We need to find radian angels.

Q: Write an equation describing the relationships of the given variables. y varies directly as the…

A: Topic:- algebra

Q: Problem 4: Consider sin 0 = √2 and cos 0 <0. Use either x, y, r definitions as in 1.3, or…

A: Given; Sin(theta)= sqrt(2)/6.

Q: Solve the triangle. Round each angle to the nearest degree and round each side to the nearest…

A:

Q: A high fountain of water is located at the center of a circular pool as shown in the figure below.…

A: Circumference of the circle = 2πr ; where , 'r' is the radius of the circle .

Q: From a police helicopter flying at 1,600 ft, a stolen car is sighted at an angle of depression of 78…

A: This question can be solved using the concept of height and distance.

Q: The force exerted by the wind on a plane surface varies jointly with the square of the velocity of…

A: