The horizontal distance or range (R) of an object thrown at an angle e from the horizontal is represented by the equation below where vo is the initial velocity as the object leaves the hand, in feet per second. If vo = 2500 feet per second and 0 is changed from 13° to 14°, use differentials to approximate the change in range, in feet. R = sin20 32

Q: Find the solution of the equation cos y dy? which tends to zero as x → 0o and has the value cos y…

A:

Q: sin30 de 10. 1 -cos 0

A:

Q: Use Newton's Method to find all solutions correct to six decimals. 1.3 cos z = x+1 2. (x – 1)² = /¤

A:

Q: If the operating frequency of the voltage is changed such that 0 = Dwsit + is achieved by solving…

A: Hi! As per norms, we will be solving only the first question that is asked which is the question…

Q: How many solutions does the equation sin 3x = 0.15 - x have? Use Newton's method to find them.

A:

Q: Prove that the equation 5x − 7 − sin 3x = 0 has exactly one real solution, then determine an…

A:

Q: 12. A player hits a ball from the ground with an initial velocity of 85 feet per second at angle 0.…

A: Given :       cos θ = 1/3        Velocity = 85 feet

Q: From your plot, find the time, t, when current, I is maximum. Find the time and the phase…

A: We are given the alternating current I = 5 sin(120πt + 0.52). Here, the unit of I is mA and of t is…

Q: 9. The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes…

A: See this solution in below.

Q: 4. The voltage signal from a standard wall socket can be described by the equation V(t) = 225…

A:

Q: The range R of a projectile is shown below, where v0 is the initial velocity in feet per second and…

A: Consider the range of the projectile R=v0232sin2θ. Differentiate with respect to θ as follows.…

Q: y =(1+)+sint+sin 31 Apply the Newton-Raphson method to determine the value of t

A:

Q: Find the equation of the tangent line to r = sin3θ  at θ = π/6

A: The equation of the tangent line to a curve y = f(x) is: where m is the slope of the tangent line m…

Q: A weight is attached to a spring suspended vertically from a ceiling. When a driving force is…

A:

Q: Use the Newton-Raphson method to find the roots of equation cos x = x correct to 4 decimal places.

A: Please see the explanation below

Q: C) Find the equation of tangent to the curve 4x +9yi = 36 at the point (3 cos 0, 2 sin 0).

A:

Q: 11. The position of a particle as it moves horizontally is described by the given equation S=sint -…

A: Here, the displacement function is given by: s=sin t-cos t, 0≤t≤2π Now, to find the maximum and…

Q: What makes sin(cos(x)) = 0 different from all the other equations we've looked at? Find all…

A:

Q: A particle moves in a straight line with acceleration ?(?) = sin ? + 3 cos ?, initial displacement…

A:

Q: Use Newtons Law to find the two solutions of e^x = 5x to six significant figures.

A: The solution is given below If u satisfied with the solution please like

Q: Solve the given hyperbolic equation 3.5 sinh x +2. 5 cosh x = 0

A: Here we have to solve the hyperbolic equation 3.5 sinh x +2. 5 cosh x = 0

Q: Express the number 4√√3 – 2i in the form R(cos(0) + i sin(0)) = Reit, where R> 0 and -≤0 ≤ T. NOTE:…

A: Given Problem:- Expres then number 43-2i in the form of Rcosθ+isinθ=Reiθ ,where R>0 and -π≤θ≤π

Q: solve following differential by finding an appropriate integrating factor cosxdx+(1+2/y)sinxdy=0

A: Solution -  We have the given expression as -  cosx dx + 1+2ysinx dy = 0 1+2ysinx dy = -cosx dx…

Q: dy 50(1 + cosx) – 0.05y, 0<x< 2π dx (0) 200

A: Given an ordinary differential equation with initial values.

Q: d) Use Newton Raphson method to estimate the root of cos x-xe* = 0, initial guess is

A: To find- Use Newton Raphson method to estimate the root of cosx - xex = 0, initial guess is x0 = 1.

Q: Determine exact solutions for each equation on the interval 0 ≤ x ≤ 2π. a) Cost | +²1=0 b) sin3x = 0…

A: We can answer both the question as below.

Q: 4. The displacement of a particle on a vibrating string is given by the equation s(t) = 10 +…

A: Here we have to find the velocity and the acceleration of the moving particle. The solution is…

Q: 4. Find an estimate of all the roots of the equation: 2 +3e* = 25 using Newton's method. Roots:

A: We are entitled to solve only one question at a time. Please post another question separately.

Q: A weight is hung from a spring and set in motion so that it moves up and down continuously. The…

A:

Q: A mass weighing 16 pounds is attached to a spring whose spring constant is 25 Ib/ft. Find the…

A:

Q: Use the method of variation of parameters to determine a particular solution to the given equation…

A: Solution :-

Q: a. How many solutions does the equation sin 3x = 0.99 - x2 have? b. Use Newton’s method to find…

A: Given:

Q: Using differential, find the approximate value for sin(29°). (29° means 29 degrees)

A:

Q: Solve the equation on the interval 0s0<2x. ( cot 0 + 1)( sin 0 + 1) = 0

A: We are solving the first question and for the next question post the question again and alsomention…

Q: 16. Consider a projectile launched from ground level at an angle of elevation 0 with an initial…

A:

Q: . Obtain in two ways the general solution of (r+ sine – cose ) dr+r(sine + cose ) de = 0

A:

Q: cos“ I dr 4 sin* I

A:

Q: The displacement from equilibrium of an object in harmonic motion on the end of a spring is…

A:

Q: Use Newton’s method to approximate the solution to the equation cos(x)=xcorrect to six decimal…

A:

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A: It is given that v(t)=8π cos 4πt

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

A: If displacement is given by the function s(t) = 5sin(πt) +3cos(∩t)then instantaneous velocityv(t) =…

Q: dx I sin?x/1 – cot²x

A:

Q: 3 2 - cos(x) e 2

A: From the given information. The function is given as follows. 32-e-x2=cosxfx=cosx+e-x2-32

Q: Solve the equation on the interval 0s0<2r. (cot 0 - 1)( sin 0 + 1) = 0

A: Given cotθ-1sinθ-1=0

Q: (7/6 sin t dt cost 39.

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: 1) I = ft e" dt 2) I = Se-2x sin 2x dx

A: