1. If the velocity of a particle is given as h(t) seconds, what is the displacement of the particle between t = 3 and t = sin(t) m/s where t is measured in 12 seconds?

Q: 1- Calculate the value of y if: a-y= sin "(0.25) + sinh (2). b- y= sinh (15)+cosh"(31)

A: Note: According to our guideline, we will answer one question. As the exact one is not specified.…

Q: Find dx implicitly, if e*(e- 1) + sin(2x + 5y) = In(v7) -- cot(2x) y+2

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Q: 26) If y=sin(-0).find dy d0

A: Given.

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t cos (2t). What is…

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Q: Q:: If In /x2 + y? =sec(), use implicit differential to proof the following: - -x(²+y²). sec̟. tan?…

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Q: 57. The velocity of a particle moving back and forth on a line is v = ds/dt = 6 sin 21 m/sec for all…

A: We will use the definite integral to find the value of ' s '.

Q: If x = tan - log y a d'y dy Show that (1+x²)- +(2x- a)-0 dx dx?

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Q: 1.4 1. Calculate an approximate value of the integral So5 (sinx – Inx + e*) dx by dividing the…

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Q: 2. When a pendulum 0.5 m long swings back and forth, its angular displacement O from rest position,…

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Q: can any thing said about the tengent to the curves y=sinmx and y= - sin(x/m) at the origion (ma…

A: Solution  Given

Q: The change in heat radiated by a body, detected by a pyrometer (non-contact temperature sensor), is…

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Q: A particle moves along the x-axis with velocity given by v(t) = 67 sin (at) for time t> 0. If the…

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Q: cos(48°) Use differential to approximate the value of

A: Cos 48° The nearest value to 48 whose cosine value can be taken is 45.Let us consider :x = 45° and…

Q: 2.4 sin x2 x2 +4 Find the approximate value of the integral dx by using one of the Closed Newton…

A: The given integral is ∫22.4sin x2x2+4dx We will use the trapezoidal rule.…

Q: A particle moves along the x-axis with velocity given by v(t) = 5 sin (t) for time t> 0. If the…

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Q: A particle travels along the x-axis such that its position is given by x(t) = t0.8 cos (2t). What is…

A: We have to find the velocity in this question.

Q: 4. The velocity, v ms-1, of a fairground ride t seconds after it begins is given by v = (3et + 7)sin…

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Q: The height (in centimeters) at time t (in seconds) of a small mass oscillating at the end of a…

A: We find the velocity function by differentiating h(t) with respect to t

Q: If we neglect air resistance, then the range of a ball (or any projectile) shot at an angle θ with…

A: Given,

Q: A particle moves along the x-axis with velocity given by v(t) = 6T sin (2nt) for time t > 0. If the…

A: Given: vt=6πsin2πt at t = 1, x = -4

Q: 17. Determine the value of fx dy - y dx, where x(t) = (cos 31, sin 3r), 0 ≤ ≤n.

A: The given integral is: ∫X x dy - y dx, where Xt=cos 3t, sin 3t, 0≤t≤π The components of the…

Q: Estimate 1 7 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round…

A: I=∫017 cos (x2) dx             f(x)=7 cos (x2)b=1, a=0, n=4h=b-an=14=0.25aThe Trapezoidal…

Q: 5. Find a general solution to the following nonhomogeneous equation: 1 y" + y' cos t sin t Hint: S…

A: Third order non homogeneous differential equation.

Q: Find the solution of the equation = e cos y which tends to zero as x→ 00 and has the value cos y…

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Q: What is the first step in eliminating the parameter t from the equationsx= 3 1 sin t and y = cos t -…

A: Given equations are x=3+sint,y=cost-2. To eliminate t from given equations, substitute values for t.

Q: 8) Determine the smallest positive roet of the equation - 0.0i t sin (0.573t) -e

A: To determine the smallest root of the given of the function we will use Newton-Rapson method with…

Q: 1. Eliminate the arbitrary constants on the given equation: -3 x sin y - x²y³ = C

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Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

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Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (5t), 8 cos (5t)),…

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Q: Find the solution of the equation azz=e cos =e * cos y d hich tends to zero as x - 0o and has the…

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Q: 1. Consider 3x + sin x – e* = 0, using Secant Method with initial points xo = 0 and x1 = 1,…

A: The given equation is; 3x+sinx-ex=0.

Q: | sin t cos* t dt 9.

A: We have to evaluate given integral Concept:

Q: A particle is moving along a line so that at any timet, where 0 st sn, the position of the particle…

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh (15)+cosh (31)

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

Q: Find the solution of the equation = e Cos y ax ay which tends to zero as x → 0o and has the value…

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Q: у" + 4y' + Зу %3D sin (e*)

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Q: A particles velocity is 7 cos(2t) meters per second. at time t=0 its gone  2meters, where is it  at…

A: The velocity of the function is given as:

Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: 4. J S (esc²a – co sec 0 tand) d0 - -

A: Explained below...

Q: Solve by Bernoulli's Equation 2. sin y(x + siny)dx + 2x?cos y dy =0

A: We find the solution by Bernoulli’s Equation.

Q: dy cosh x dx + (sinh x)y = e-x

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the general solution of the equation cos x cos y dy – sin x sin y dx = 0

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Q: d?s sin 3t + cos 3t dt2

A: Explanation of the answer is as follows

Q: 13. e-2t cosh³ 2t 14. cosh at cos at V3 t 15. sinh sin: 2

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Q: 4. A particle that moves along the x – axis has velocity v(t) = t² sin(2t) at time t seconds. a) If…

A: Given data: The expression for the velocity of the particle is v(t)=t2sin(2t).   a) The initial…

Q: A particle moves along the x-axis with velocity given by v(t) = 3T sin (t) for time 10 at time t =…

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Q: c) Se- sin(4t) dt

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Q: 1- Calculate the value of y if: a- y= sin (0.25) + sinh (2). b- y= sinh'(15)+cosh (31)

A: according to the guidelines of bartleby I will do only first question please ask rest of the…

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

A: