The temperature at the north pole of planet OS372 oscillates between -60 °F and 260 °F every 39 days. Suppose T(t) = Kcos(Ct) + B can be used to model the temperature at the north pole of planet OS372 as a function of days. Assume the minimum temperature occurs at t = 0. (a) Find K = (b) Find the average temperature on the planet. °F

Q: Consider the following graph of f(x) 34+

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: 5. An internet service provider has modelled its projected number of business subscribers as B(t) =…

A: We have to find the growth rate.

Q: 12) 2 1 -3₂ A)x=0, x=3 C) x = 3 x B) Function is differentiable at all points. D) x = 0 13

A: Note: Since the student has mentioned to solve only question no. 12, so we are solving according to…

Q: How can I solve the following question  0=2tanx-sec2(squared)x within [pi/2 , 2pi]

A: Follow the procedure given below.

Q: 3x 2. Solve 256 = 16 x-2 by first expressing each side as base 4.

A: 2. Solve 2563x=16x-2 by first expressing each side as base 4.

Q: 2 1. Solve the inequality x¹ - 11x² + 18 ≥ 0

A: Given, x4-11x2+18≥0

Q: phis, TN and New Orleans, LA lie approximately on the same meridian line. Memphis has a de of 35°N…

A: we will find the required.

Q: 13 Consider the piecewise function f(x) x² - 4x +7 if x > 3. if x=3 if x<3 f(x) 8 4x+3 Is f(x)…

A: according to bartleby guide line we do only first part of multiple question (13)  condition for…

Q: Find the exact value of cos 60° + cos 120° Select the correct choice below and fill in any answer…

A:

Q: Find a so the distance between the points (x, 2) and (-2, 1) is √/2. X

A: if two points is   (x1,y1)  and (x2,y2)  than formula of distance is D=(x2-x1)2+(y2-y1)2given…

Q: 14) Is the function given by f(x) = 48x + 3 continuous at x = 6? Why or why not?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: write 2 different long questions of FUNCTIONS and solve each one of them in paper show full…

A:

Q: For the right triangles below, find the exact values of the side lengths q and s. The figures are…

A:

Q: ve the identity: cos3x = cos3x. (4cos2x-3)

A: We are asked to prove the identity

Q: 13) Is the function given by f(x)=√√x continuous at x = -10? Why or why not?

A: given  f(x)=x

Q: In terms of the contangent of a positive acute angle, why is the expression for cot 5pi/9

A:

Q: Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel…

A: Please see the below picture for detailed solution.

Q: AABC is a right triangle. Angle A measures 54°, ZB measures 36°, and ZC measures 90°. Use…

A: Given are the three angles of a triangle.

Q: 2 53 4_3 元 125-3 元-3 1

A: Please see the below picture for detailed solution.

Q: Given AABC, what is the measure of b? A 53° 58° 10 B

A: given  ∠A=53°∠C=58°a=10we know  ∠A+∠B+∠C=180°

Q: Convert 5π from radians to decimal degrees. Round to 1 decimal place if necessary. 6 5π 6 || 0° X S

A: A=5π61 radian=180π  degrees

Q: If sec(a) = 7/73, find the value of cot(a) where 0 < a < ¹/2.

A:

Q: Let right triangle ACB have C = 90°, and let sides a, b, and c be opposite angles A, B, and C,…

A:

Q: (d) Solve for x 17 cosh(x) − 13 sinh(x) = 13. (Express your solution(s) in exact form.)

A: Given Equation:- 17coshx-13sinhx=13

Q: given secx =√2 and x is in the third quadrant, find the value of cotx

A:

Q: To prove the identity sec z = tan z cscz a student graphed both sides of the equation as shown…

A:

Q: Write an equation of the form ya sinbx or y=a cosbx to describe the graph below. M 4π 2 T 4T NIE…

A:

Q: (a) Describe how the inverse tangent function f¹(a)= tan¹() is defined: i. using words; ii. using…

A:

Q: Let be an angle in quadrant II such that tan Find the exact values of cos 0 and csc 0. nit

A:

Q: Consider the following equation: -1- 2 sin(-30 + 330) = -0.6 Assume your goal is to find all…

A: Given equation -1 - 2sin( -3θ + 330 ) = -0.6

Q: 6. Solve 12(4) = 5(4) + 2. Check for any extraneous roots. Where necessary, round answers to two…

A:

Q: A- a B B

A: Consider

Q: Convert 11T 12 to degrees.

A: given  θ=11π12 radians we know  1 radian=180π degrees

Q: If f(x) = -3x + 5 and g(x) = 9x - 2, what is the slope of the graph of the function (f - g)(x)?

A:

Q: Verify the following identity: cos 1+sin a 1+sin a cos 2 = 2 sec a

A:

Q: Calculate the missing measurements for each tagit 2. ? in 4.7 in ? in 2 10.7 in = 3.52 in²/ 210.76…

A: Topic:- geometry and algebra

Q: Find the exact value of the expression using the provided information. Find cos(s+t) given that cos…

A:

Q: Let f(x) = 3* + 1, g(x) = 3x² + 9x and h(x) = 3x. Determine: i. y = f(x) + g(x) - h(x) ii. y =…

A: Given: f(x)=3x+1, g(x)=3x2+9x, h(x)=3x

Q: write 1long questions of GRAPHS OF TRIG FUNCTIONS and solve it in paper show full explanation by…

A: write 1long questions of GRAPHS OF TRIG FUNCTIONS

Q: What is the length of the hypotenuse in the triangle shown below? 60° 10

A: To determine the length of the hypotenuse in the right triangle shown below.

Q: estion 2 wert 138° to radians. Give an exact answer and a decimal approximation rounded to 3 decimal…

A: Given query is to convert degree to radians.

Q: 12) lim X→ ∞ 3x + 1 7x2-7

A: As per our guidelines we are supposed to answer only one question. Kindly repost others questions as…

Q: Find the radius r of each circle if the area of the sector is 12. Degree of 110

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3. Solve the equation 2cos x + 3 sin x = 3, for 0≤x≤ 2π. Express answer as an exact value.

A:

Q: Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.…

A: We are asked to find the   length of hypotenuse

Q: Determine the measure of the length of the arc of the circle of radius 6 subtended by an angle of…

A:

Q: Given the image of the right triangle, identify the ratio for Sin A as a reduced fraction and a…

A: We have to slove above question

Q: A rectangle is to be inscribed in a semicircle of radius 6 cm as shown in the figure below Express…

A: We have to find area of rectangle.

Q: Write two different long equations about trigonometry and solve each one of them on paper, showing a…

A:

Q: Write the equation of a sine or cosine function to describe the graph. 3 п 2 TIN 3 π 2 3 п 9T | 2 6T…

A: Equation that predict the graph is of the form y=f(x)=Asin(B(x+C))+Dwhere A- Amplitude, B=2πPeriod,…