4. Find the exact values for each of the following. а. sec-1 b. sec-(-V2)

Q: How do you solve this and can you show me step by step?

A: Given trigonometric equation is as below,

Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

A: Intermediate value theorem For a continuous function y = f(x) in the interval [a, b] such that…

Q: Find tanh(1) . Derive the formula and then apply it.

A:

Q: b. y - y'cosx = y² (1 - senx)cosx

A: Introduction: The Bernoulli's equation is an extension of linear first order differential equation…

Q: 1 Find a formula in the form y = A sin(Bx)+ C which produces the following graphs: (270°, 1) 90°…

A:

Q: If f(1)=3, f(1)=1, g(x)=cos x, and h(x)=[f(x)]/[g(x)], then what is h'(1)? Round to the nearest…

A: The given mathematical expression is the derivative, which can be determined with the help of…

Q: 6. Solve for t, 0 ≤ t ≤ 180° such that tan(t) = √3.

A: Interval Quadrant (In unit circle) tangent  0≤t≤90° I Positive 90°≤t≤180° II Negative…

Q: Solve (by separation of variables) the following problem du = 0 ; x E R , t> 0, t > 0, - и(х,0) =…

A:

Q: Find the general solution to the following Cauchy-Euler equation ty" + ty' + 9y = – tan(3 ln t).

A:

Q: (b) Compute sin 20. Hint: sin 20 = sin(e + 0)

A:

Q: 8 cos (t) – 1 for all solutions 0 < t < 27

A: The objective is to solve 8cos2t=8cos2t-1 for all the solutions 0≤t≤2π Consider, 8cos2t=8cos2t-1…

Q: Solve the following ODE y' + tan(5 x)y = 0 with initial condition y(0) = 3

A: Given that: y'+tan(5x)y=0 and y(0)=3

Q: Eliminate the arbitrary constants in each of the following. Show your complete solution. y = Cle^2x…

A:

Q: Find a particular solution of (;) ;)-(: :) (;) - (*) -5 sint 4 -4t A

A: a = 4  Particular solution:     xpyp=t+cost1+4 sint

Q: The function y = sin 3x with the interval 0 ˂ x ˂ 2, has how many complete cycles in 2? 1 6 3 1.5

A: The given function is y=sin (3x) We have to find the number of complete cycles of the given function…

Q: 5. Solve the following IVP: sin(t) y = -4 cos*(t), y(;) = cos(t) y' + 0.

A:

Q: 3- the solution for the following O.D.E y' = In(x) + tan (x) %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3.4.4 Evaluate ff sin(x + y) dx dy over the triangle whose vertices are (0, 0), (2, 1), (1, 2).

A:

Q: Find a particular solution to /" + 16y = 8 sin(4t).

A:

Q: 2a + acoth 2z ) dz \sin 3z a/2

A: We are given the integral: ∫a22a1sin 3z+a coth 2zdz Let I=∫a22a1sin 3z+a coth 2zdz I =∫a22a1sin 3z+a…

Q: (sec(In x) y ху" + у' +:

A:

Q: for each of the following equations, specify its type (order? linear? homogene?) and solve it,…

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: In the interval 0 <z< 2n, for what value of x does sin a = cos x? and 4 4 only 4 and 4. 4. - only…

A: sin x=cos x implies tan x=1

Q: Obtain the general solution of the following: 2. -z (2- 2) sec'e 3. xdx + sin () Lydx - xdy]

A: 2. The given equation is  dθdz=z(z-z2)sec2θ This can be written as…

Q: 8. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 8 cos(2x)-4 a. b.…

A: Please comment if you need any clarification. If you find my answer useful please put  thumbs up.…

Q: 3) Find the general solutions only of the following higher order ODE by method of undetermined…

A:

Q: B. Solve the following linear independent and Wronskian. 1. Are the functions y (x) = sin xand y2…

A: We have to check

Q: Solve the following initial value problem. dr sin (– 3x0), r = 10 de

A: Given initial value problem is drdθ=sin-3πθ,r-16=10 Find the solution in the following.

Q: d 5. Prove (arccot(x)) dx -1 Be sure to provide a written justification for your work. 1+ x?

A:

Q: 1. For each of the following equations, eliminate the constants A and B to form an ODE. y = Ae³* +…

A:

Q: Consider the following. YA (停) -1 Find t and the terminal point determined by t for each point in…

A:

Q: (1) Evaluate the following functions 1. In(3-i6) 3. cos (1+i3) , 2. e(0 52) , 4. tanh (2-i5)

A: As per guidelines, we solve only first question. 1. Given      ln3-i6

Q: 2. Find all the exact solutions to following. a) sin x= 0 b) tan e = 3

A: If sin x =0 then x=nπ ; where, 'n' is any integer .If tan x =3 then x =nπ+π3 .

Q: - 6 3 y =x sin x + x cos 2

A:

Q: Q1:- Solve the following DEs:- xy2-cos x sin x 1) y' = y(1-x²)

A: The most general form of a linear differential equation of first order is dydx+Py=Q where P and Q…

Q: If f(1)=3, f(1)=1,g(x)=cos x, and h(x)=[{x)]/[g{x)], then what is h'(1)? Round to the nearest…

A: To find h'(1)

Q: y ху" + у' +- %3 (cot(In x)▼

A: Given differential equation is

Q: 1. Solve the following ODE using separable variable method: dy +(x+2)y³ =0. dx а)

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

Q: (x+ siny) dx + (x cosy - 2y) dy = 0

A:

Q: 2. Solve each of the following on the interval e [0,27] . a. cosx + 0.45 = 0 %3D

A: Solve  cosx +0.45=0 where x belongs to [0,2π]

Q: Solve the following equations for x over the interval [0, 2n). 1. 2 cosx+4= 5

A:

Q: 29. If H(0) = 0 sin 0, find H'(0) and H" (0).

A: H(θ) = θ sinθ

Q: For how many a E (0, 1) will sin(x) + a sec(x) = cos(x) + a csc(x) have at least two distinct…

A:

Q: Find the exact value of the expression. sin 15° Z(/3+ 1) 4. 2W3+1) 4. EW3-1) 4. ZW3-1) 4.

A:

Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

A:

Q: Solve the following and show the complete solution. 1. Find Duf at P: f(x, y) = sin(8x – 5y); P…

A:

Q: DISCUSS TThe Conlinuilyf メ<。 Losx Xラィ Sin

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Q: 3. Use the Intermediate Value Theorem to show that the following equation has a solution. sec(x) =…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.