0.125 А. f(8t) dt | 0. 0.25 B. f(1 – 4t) dt = 2.5 c. f(5 – 2t) dt =

Q: Let y = 5.25x² +4.75 and dy Find when x = 4. dt dx dt 0.3.

A:

Q: find dy/dt.

A:

Q: du = t2 + 3u, t> 0, u(5) = dt 100

A: Given differential equation tdudt=t2+3u and u5=100 ⇒tdudt−3u=t2⇒dudt−3tu=t2t⇒dudt−3tu=t Hence, the…

Q: -t te dt.

A:

Q: The Ideal Gas Law is PV = mRT where P is the pressure, V is the volume, m is the constant mass, R is…

A:

Q: If t = x + ex, find d2x/dt2 given dx/dt = 1 / 1+ex.

A: dcdt=0 , where , 'c' is any constant. dexdt=ex .dxdt

Q: Suppose that A. B. 0.1 0.125 0 f(10t) dt f(t) dt = 9. Calculate each of the following. f(1-8t) dt =…

A:

Q: 1 dt. 1+ vt Let G(x) Find G'(9).

A: Given that: G(x) = ∫2x211+tdt

Q: Given a = 32t + 28 and y = 20812 + 110 da (*) dt dy (é). dt dy (é6) da

A: Topic = Derivative

Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: Find F′(x).

A: Consider the provided integral, Fx=∫1x1tdt Find F′(x). First we evaluate the provided integral,…

Q: dy If Vx +Vy=5 and dx - 3. find the value of when X=1 dt dt

A:

Q: Evaluate e dt 0.2

A: We have to use standard gamma integration here.

Q: 4x Let F (x) = S dt. Find F" (x). %3D 2+3

A: Given: Fx=∫04xdtt2+3 we know that by fundamental theorem of calculus if gx=∫pxqxfxdx then…

Q: If f(x)dx = 32, then f(t)dt : %3|

A: Here, Order of limit has been exchanged with each other.

Q: Find the value of dr / dt at t = 0 if r = (θ2 + 7)1/3 and θ2t + θ = 1.

A: Consider the provided equation, r=θ2+713 and θ2t+θ=1 Find the value of drdt at t=0. Apply the chain…

Q: Ejercicio. Evalúe [1?+1 dt dx Ejercicio. Derive F(x) = cos t dt 2

A: The objective is to solve the above questions.

Q: Use the method of first principles to show that d/dt(lnt)=1/t

A:

Q: d. Evaluate dx dt (t2 +2t) -1

A: We use the Leibnitz rule of differentiation under integral sign to solve the given problem.

Q: Find: f 4t Vi + dt =

A:

Q: If A = 4x³ and (a) TRUE (b) FALSE dt dx 2, then dA dt = 150.

A: As we know the Power law; ddxxn=nxn-1 Given: A=4x3 and dtdx=2

Q: Find ds/dt if t = sy1- s2

A:

Q: 1- dt 2x 1 d Q10:- Calculate dt dx 2x 3- dx 'x SLn(t) dt. dx 'x

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Q: S: 3+²-1) dt3= 2

A: To determine: