The temperature of a chemical reaction oscilates between a low of 25 C and a high ot 120 C. The temperature is at its lowest point at time 0, and reaches its maximum point over a two and a haif hour period. It then takes the same amount of time to return back to its initial temperature. Let y H0) denote the temperature of the reaction f hours after the reaction begins (a) What is the period of the function y= H)Include units in your anower. b) What is the midine of the function y H0? y=2.5temp Include units in your anawer. te) What is the amplitude of the function y H 72.5temp Incklude units in your answer () Baned on your answers above, make a graph of the function y= H) on a plece of paper. Which of the graphs below best matches your graph? B (tep) tChrs) thirs) WWW (tee

Q: A vector field is specified as G = 24xya, + 12(x² + 2)a, + 18z²a.. Given two points, P(1, 2, – 1) an...

A:

Q: 3) y =-1+ 3cos 0 T元 3元 2元 5元 3元 一2 不一2

A:

Q: Using Variation of parameters, find ui for the DE: y" – 2y' – 8y = 18e4* when Yc = Ce-2x + C2e4*. А....

A:

Q: Find the area of the surface generated by revolving the curve = V¤ + 3, 4 < y <7

A:

Q: 2. Determine the slope of the tangent for the following function: 3x f(x) at x = 4 2 x-4x+3

A:

Q: cot2 x – cos2 x = ________ cos 2 x sin 2 x sin 2 x cot 2 x sin 2 x tan 2 x cos 2 x cot 2 x

A:

Q: Vx2 – 9 4. lim х-з х — 3 X→3

A: We have to find out limit

Q: D Screen Shot 2022-03-09 at 6.16.05 PM 山 Q Search An equation for a cubic function with zeros 1, -2,...

A:

Q: In Exercises 7–12, find the indicated derivatives. dr 8. if r= s - 252 + 3 ds

A: Topic:- derivatives

Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given...

A:

Q: If s(t) = 8t = 12t – 48t + 5, represent the position of a particle traveling along a horizontal line...

A:

Q: Exercise: Show that x vzdA = Qdx2 Therefore, we have x vidA+ V x VzdA = |_ Pdx1 + Qdra = ▼ × vdA = ·...

A:

Q: Suppose that you have deposited a certain amount of money in a bank that pays an interest rate of 2....

A: Given:  Interest compound continuously       r = 2.5%       t = 10       A = 12840.25

Q: () = 2 sec(a O conon1 O pton 2

A:

Q: H.W Let 71 = -2 + 1li, 22 = 2 - i. Showing the details of your work, find, in the form x + iy: %3D %...

A:

Q: If s(t) = 10: – 15t2 – 60t + 5, represent the position of a particle traveling along a horizontal li...

A:

Q: the

A: We will find the local minima, maxima, and inflection points.    

Q: Find all critical points for f(x) = x³e-2#. We want (x, y), both a and values.

A: Topic:- application of derivatives

Q: don’t do a, b or c

A:

Q: Second Derivatives In Exercises 19–26, use implicit differentiation to find dy/dx and then dy/dx². W...

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 3t3 – 10t...

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t - 15t ...

A: Topic:- application of derivatives

Q: 13 5 Given: cosa = and A is located in the fourth quadrant; find tang. -5/3 -4/3 -5/4

A: Given that cosθ=35θ lies in 4th quadrantfind tanθ

Q: Sulve the dffeanlial equalion ly). clox Ylx)=16

A: Given:     dydx+y=16

Q: Kindly

A: Please refer to the image below

Q: Find the slope of the line through P and Q. Р(5, -9), Q(-3, 8) -1/8

A:

Q: ) Σ (-1)" n = 1 00 (-1)**2 2) Σ n = 1 3) Σ sin(n) 3 n = 1

A: series are given, we have to the absolutely convergent series.

Q: Solve: y" + 6y' + 9y = cos(3x) 1. Find yc 2. Find yp 3. General Solution

A:

Q: A projectile is fired at the angle of 30° above the horizontal with a muzzle velocity of 460m/s. Fin...

A: Find your answer below 

Q: Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an ar + (- ...

A: Given: - The sequence is, 7+5+3+......+(-263)=∑k=1119(3k+1)= To compute: - The sums below. (Assume t...

Q: Given (x³ + y² + 7)* = 4x + 3y + 9, (a) find y', (b) find the equation of the tangent line at (-2,0)...

A:

Q: 6x+3 J x+sx +6

A:

Q: A cup of coffee, cooling off in a room at temperature 24°C, has cooling constant k = 0.108 min -1 (a...

A:

Q: Obtain the solution using Integrating Factors Found by Inspection y(x3y3 + 2x2 − y)dx + x3 (xy3 − 2...

A:

Q: Evaluate following each limit? Algebraically prove it if this limit existed or not. x +16 +4 lim x→0

A:

Q: The vector from the origin to point A is given as 6ax – 2a, – 4a-, and t unit vector directed from t...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3

A: The Taylor polynomial at centered at c=3 is given below.

Q: 5 Given: cos, = and A is located in the fourth quadrant; find cos %3D 25 V5

A:

Q: The functionf is graphed below. State the values that fulfill the following requirements. If there a...

A: As per bartleby guidelines we are supposed to answer only 3 subparts per question. This question con...

Q: Given: cosa= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

A:

Q: goond L ) - 6

A:

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1.y=1x2+35y=x2+3-5y'=-5x2+3-6×2xapplying chain rule option( d) is correct2.fx=x3-1x+44x-2f'x=3x2x+44...

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A:

Q: Find the point where the graph of the vector equation r(t) = ⟨2 − 3t, −2 − t, 2 + t⟩ intersects the ...

A:

Q: A rocket is fired vertically upward from the ground. The distance sin feet that the rocket travels f...

A: Formula: Let s(t) is displacement  Then, Velocity V= ds/dt Acceleration A=dV/dt

Q: 1. Create a Probability Distribution Table for: a) a Sum when 2 Dice are rolled. You list a table of...

A: A) a Sum when 2 dices are rolled.  Sum  Probability 2 1/36 3 2/36 4 3/36 5 4/36 6 5/36...

Q: Consider the integral 2 6z² In(z) dz

A:

Q: Using the given graph, identify the limit of the following. 4. 2 1. -8 -7 -6 -5 -3 -2 -1 3 -1 -2 -5 ...

A: Topic:- limits and continuity  Note:- as per our guideline if more than one question uploaded than o...

Q: -7 dx Vx-9 3

A:

Q: Given the following data, determine the degree of the polynomial functions that it represents. y -3 ...

A: Find your answer below