Let c be the number such that the area under y = sin x over [0, x] is divided in half by the line y = cr (see figure below). Find the approximate value of c. (Note: You will need to solve an equation numerically, such as by using a graphing calculator, a CAS, or Newton's method. An exact solution is not feasible.) y = sin x y = cx +RIN

Q: x² dx %3D Use right endpoints and = 10 rectangles to find an approximation of

A: Given, Use the endpoints and n= 10 rectangles

Q: find the exact value sinx=1/4, 0<x<pi/2, find x/2

A: Given:Given that,sin(x)=14 where 0&lt;x&lt;π2To find:1) we have to find the value of x2)…

Q: Explain why, no matter how the circuit is completed, Pip must place an even number of additional…

A:

Q: A tank initially contains 300 gallons of water with 50lbs of salt disolved in the water. A brine…

A:

Q: " f e/2i =sin2 then z = = sin2 then z =

A: In the given question we have o find the value of z which satisfies the condition s.t e-z2i=sin2.…

Q: Find d coscrin' (-2] the exact value

A: Find the exact value cossin-25.

Q: sin(x)(csc(x) – 2)dæ

A: We have been given the integral  ∫sinx(cscx-2)dx

Q: 3.a) Find dx y = ln(2x - 4√x). b) Find dx y = ln(In(sinx))

A:

Q: h(x, y) ) = tan¯¹ (²), What is the value of hxx when x = 1;y=1 a. b. C. 2 1123INL d. 1

A:

Q: Each time your heart beats, your blood pressure first increases and then decreases as the heart…

A:

Q: 2- Solve the equation for x : Cosh x = Sinh x +1/2.

A: We need to find out the value of x. The given equation is Cosh x=Sinh x+12 Now,  Cosh x=ex+e-x2  and…

Q: sin (r) -dr. R nvoke to integrate even powe

A: An integral is given by, I = ∫Rsin2xx2dx. The objective is to evaluate and state the identities that…

Q: Find the values of d/dx (11) and d/dx(π)

A: Consider the provided information, ddx11   and   ddxπ. Find the values of the derivative. The…

Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

A:

Q: There is a partial insurance policy that pays $80,000 upon the bad drought state (and $0 in the…

A:

Q: eteR MiNe SiN IN°()COS)dx

A:

Q: J sin“ x dx е.

A: Let,    I = ∫sin6xdx  .....(1)  = ∫sin5x.sin x dx    Now we solve this integration by using rule of…

Q: Differentiate the function. sin e + y = 4

A:

Q: Sketch the following, marking points of interest. Y = (*+2}(x+4}/(x+3) Y= 2 sin x+1 Y= sin (2x)

A: Given Y = (x+2)(x+4)/(x+3) Y = 2sinx+1 Y=sin(2x)

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.