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A: Here we can find the integration as below
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A: This question is related to definite integration, we will solve it using given information.
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A: topic - indefinite integral
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A: To answer the given question about continuity and differentiability.
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A: This question is based on solution of differential equation.
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A: Volume of the sphere , V = 43πr3 ; where, 'r' is the radius of the sphere.
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A: NOTE: Refresh your page if you can't see any equations. . the cost function is given by the average...
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Q: 1 1 9. dx I (# – 1)(x² + 4x + 5) In |x – 1|+ 10 In a? + 4x + 5| - 20 13 arctan(x + 2) +c 10
A: First we use partial fraction decomposition and then evaluate the integral.
Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...
A: f'(x)=a+1+logbx Increasing
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Q: IV. Exercises A. Solve the following integrals: (1) /20. (2) / (2e + 4"). da (3) 2(5") dr
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A: This question is based on differentiation.
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A: A function f(x) is said to be continuous at a point x=a iff limx→a-f(x)=limx→a+f(x)
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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0
A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.
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Q: Consider f(x)=ax+xln(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(x)= ------- Bas...
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A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload...
Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)
A: topic - derivative of a function
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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...
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A: This question can be solved using the concept of integration by substitution.
Q: 18) rind fue indefinite inpagrel by ma uing tue Subs titel fion x=2Seco. af -de
A: The detailed solution is given below Thank you
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- A particle is moving with the given data a(t)= 3e^2t -2 cost, s(0)=0 and v(0)=0, find the position of the particle.Consider a particle with a position function given by s(t)=48t-3t^2. When will the the particle decelerate?A particle is moving with the given data. Find theposition of the particle. v(t) =1.5√ t-Cost ,s(4) =10
- A particle is moving with the given data. Find theposition of the particle. v(t) =Sint -Cost ,s(0) =0The position of a particle at time t is given by p(t)=7t^2.3-5t^1.2. Find the particle's accelerationAn object moves on a trajectory given by r(t)=<10cos4t,10sin4t> for 0≤t≤π. How far does it travel?
- A particle moves along the x-axis with velocity v(t) = (6t 2 - t) mis.Find the particle's position s(t), assuming that s(2) = 4 m.In the given question , consider a particle moving along the x-axis, where x (t) is the position of the particle at time t, x'(t) is its velocity, and x"(t) is its acceleration? x(t) = t3 - 6t2 + 9t - 2, 0 ≤ t ≤ 5Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t.velocity = 14sin(7x), initial position = 12 r = 98cos(7x) - 84 r = 98cos(7x) + 12 r = -2cos(7x) + 14 r = -2cos(7x) + 12
- A particle moving on a line is at position x(t)=t3−9t2+24t−5 at time t where t is in seconds. At which time t (if any) does the particle change its direction?Find components of the with given initial point P(x1,Y1,Z1) and terminal point Q(x2.Y2,Z2), also find |v| and sketch v?We represent the equation of the ray by: p(t) = (2, 3) + t (4, 5), for t in [0, 1]. What is the initial point of the ray?