The temperature for a small town can be modeled by the equation T (t) = 35 cos (t - 220)+ 60 , where Tis the temperature in degrees fahrenheit and t is the day of the year. On which day of the year does the temperature attains its maximum? О 38 O 95 220

Q: After getting a job, Kessy started saving a percentage of her annual income, which can be modeled by…

A:

Q: F(s) = .L{cos 2t H(t-) + (912+2t-1) H(t– 2)}.

A: We will find out the required value.

Q: || Solve the following equation for B, where -T<B<T. sec2ß – 1 V3 %3D tan (-B) 3

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A: Differentiating with respect to x, we get

Q: y" +4y' = 3e2 + cos 2t + t?

A: Given:y'''+4y'=3e2t+cos2t+t2

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5x(B cos 2x + C sin…

A: The solution is given as

Q: Solve the D.E. (Dª + 5D² + 4)y = 0 ANSWER: Y = C1 cos(x) + C2 sin(x) + C3 cos(2x)+ C4 sin(2x)

A:

Q: For equations in the form y = asin(bx + c) + d or y = a cos(bx + c) + d, Its amplitude is equal to:…

A:

Q: 2. The pressure P of sound waves on a person's eardrum can be modeled by (2ar P = cos ( – 1100t)…

A: Given,       P=ar cos( 2πrI-1100 t )    And we have to simplify it for given values of a, r and I.…

Q: . Eliminate all the arbitrary constants in the equation as follows: y = Ae2x- e-5x (B cos 2x + C sin…

A:

Q: Se" cos 2t dt ,7L

A: integration.

Q: The temperature in Fairbanks is approximated by T(x) = 37 sin (x-101)+25, 365 where T(x) is the…

A:

Q: Solve the equation on the interval 0 s0<2r. V3 tan 0+ 1 = 0

A:

Q: Which of the following is the general solution of the difeerential equation d²y 640Y - 16 +y=0? dx…

A:

Q: Solve the following D-E 1) y' + y = sinx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5u +1 572 t. 5x e Cos x t.

A: Solution: The given equation is ∂2u∂x2=∂2u∂t2+1+ex Rewrite it as ∂2u∂t2-∂2u∂x2=-1+ex Conditions…

Q: If the solution to e2x sec2(e2x+1)dx is equal to k tan (e2x+1) + C, find the exact value of k. 1 A…

A: This question can be solved using the concept of integration by substitution.

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5x (B cos 2x + C sin…

A: To eliminate all the arbitraty constants in the below equation. y=Ae2x−e−5xBcos2x+Csin2x

Q: Solve for the DE equation associated by the given function: а. у %3D Ае2х + Bе* + C.

A:

Q: 16) da 1 y: Cos JE t 3.

A:

Q: - 0.1489 9.8m/s² 2 (v.cos(49.39))²

A: Find your answer below

Q: The blood pressure (B) of an athlete is given by: B(t) = 20 sin [(8pi t)/3] + 90. If his blood…

A: According to question,Given equation,Bt = 20 sin 8πt3+90,

Q: tan(r) y" + ?V + y =

A:

Q: The tide, or depth of the ocean near the shore, changes throughout the day. The depth of the Bay of…

A: d=35-28cosπ6.2t

Q: Eliminate the arbitrary constants in the equation y = cje2 cos 3x + c2e2a sin 3x.

A:

Q: III. Solve using Algebraic substitution: 8. Į cos(y)#dy

A: given: the expression is ∫cosy13dy

Q: Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e -5x (B cos 2x + C sin…

A: Solve the above question.

Q: Find for the equation yz? – et* cos(4zx)-3y² =4 ây

A: The objective of the question is evaluate the partial derivative of z with respect to y in the given…

Q: Find the solution of the equation cos y ax' ay? which tends to zero as x> o and has the value cos v…

A:

Q: c) Se' sec (e - 1) dt

A:

Q: Solve the equation on the interval 0 s0 < 27. 2 cos 0 +1 = 0 2 2 3.

A:

Q: In the following problems, eliminate the arbitrary constants. 3. y = (x + c)e¯* 4. y = c, cos 2x +…

A:

Q: 1 x3 cos 2 4- x² dx 2

A:

Q: At a seaport, the depth of the water during the day can be found using the equation h = 6.0 cos (…

A:

Q: Q6// Solve the equation: y cos? x dy + sinx dx = 0.

A:

Q: Solve the following equation for A Where 0<0 <T. sec (-0 + 5) - csc (-0 + ) = CSC

A:

Q: Solve the following equation y" – 2y' + y = Answer: y = C,e' + Czte' – e' In(1 + t²) + teʻ tan-i t

A:

Q: Suppose that the temperature (in °C) in Toronto on April 22, 2021 from 9 am to 9 pm is modeled by…

A: It is given that, T(t)=10+sintπ12 and here t represent the number of hours from 9 am to 9 pm. t1=0…

Q: What is the solution of D.E (D2 - 2D)y = e sinx when solved using the method of undetermined

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 4(t) = It cos (6ㅠt +풍)

A:

Q: Solve the equation for e if 0° se< 360°. 5- cos e- 0 cos O 2100 330. 600, 3000 0o, 2400 1200

A: We have to solve the equation for θ if 0≤θ≤360.…

Q: The number of cars produced when æ dollars is spent on labor and y dollars is spent on capital…

A:

Q: Solve (0? D)y= e" Solve (o?+D²-YD-4)y= e° cos 3x

A:

Q: By solving the equation y'(t) = sin(9t) – 81 y(u)du with y(0), we obtain the convolution y(t) = sin…

A:

Q: The respiration rate R (in litres/min) of a boy can be modelled by the equation R=6-3 cos- -t ,…

A: We know that cos(x)≤1

Q: Solve (D? – 3D + 2) y cos (e-)

A: