2. Find t+2 dt check your result by differentiating

Q: cln 3 Evaluate f" sech² t dt 15. B. ? c. A. D.

A: From the given problem: I=∫0ln3sech2tdt As we know that: ∫sech2(x)dx=tanh(x) And…

Q: 1. Explain why / f'(t) dt = f(b) – f (a). ||

A: Refer to image below.

Q: (3) 9. Evaluate, where a and b are constants. a) f(1) dt

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Q: S. 1-t If f(x) = 2 dt, then what is f'(2)? 1+t?

A:

Q: If f(x)= integral subscript 2 superscript x fraction 1+t/1+t^2 dt, then what is f'(-3)?

A: f(x)=∫2x1+t1+t2dt, find f'(-3)

Q: Find the value of " dt 2 at the point (0, -1) if xy + y? = 1 5.

A:

Q: If f(3) 12 and f '(x) 2 1 for 3 sxs 7, how small can f(7) possibly be? Enhanced Feedback

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Q: f(x) = 'dt th (2) 3=

A:

Q: Suppose the clean water of a stream flows into Lake Alpha, then into Lake Beta, and then further…

A: Note: - According to our guideline i didn't solved more than three subparts . So please again repost…

Q: F(2) = (2t – 1)° dt using the Fundamental Theorem of Calculus.

A:

Q: In2t To calculate || dt we can use (which method):

A: According to our company policy, we are supposed to answer only one question at a time. For the rest…

Q: [1] Determine the orthogonal trajectories of y(1+2x?)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1)

Q: Find the linearization of f(x) = 9 – dt at x = 1. 2+t

A:

Q: b) write an expression for the position in terms of time t, use c (lower case) to denote constant of…

A: a =dv/dt where a is acceleration

Q: Find the Linearization L(x) of y = (1+x)¬1/² at a = 8. L(x) = %3D

A:

Q: The graph of ƒ is shown. Let A(x) be two area functionsfor ƒ. Evaluate F(8)

A: & Fx=∫4xft dt

Q: 4) Determine the function F(x)=[ƒ(1)dt, where ƒ(x)=sgn(x-x²) for xe[-1,2]. -1

A: f(x) is discontinuous but F(x) is continuous

Q: 4. Find the general form of the function that satisfies dP/dt = -3P(t).

A: A separable differential equation can be solved by separating the terms in each variable and…

Q: 1 Find f(1) if f(t) dt = x" - x + 2x? – 2, x >1.

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Q: 1losamlov ç5x3-1 Differentiate the function g(x) = [°*¯'sin t dt. -3

A: We have to differentiate the given function.

Q: Find the linearization of f(x) = 3+ S" sec(t - 1)dt at .2 END x = -1

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 14 If f(x) : t? dt then f'(x) =

A:

Q: Evaluate f 26t 3 dt where B is a real valued constant.

A: As per guidelines, I can answer only one question.

Q: Find a value of x such that

A:

Q: Find du -if v = t- dt

A:

Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: find a linearization at a suitably chosen integernear a at which the given function and its…

A: The nearest integer to a=-0.9 is -1 because at this point, we can easily find the function's value…

Q: 4. F(x) = (1- t) dt %3D 4

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Q: Find the linearization of y=2^x at a=0

A: use derivative to find the Linearization of y

Q: Fill in the blank. = F(s - a) whereas L eat dt F(s - a) =

A:

Q: 3t – 2 dt t + 1

A:

Q: [1] Determine the orthogonal trajectories of y(1+2x²)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1) Determine the orthogonal…

Q: Find h'(x) if rsin 2x t2 cost dt h(x) = J3 %3D

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Q: Find the general solution of the ODE.

A:

Q: 9. Explain why dt r1/I dt 1+t2 1+t? is valid for any x > 0.

A:

Q: Q, Frd the donain of H fallowing function: fa) = 5x -3x-4

A:

Q: if the implicit function is x3=at2, find the d2x/dt2

A: if the implicit function is x3=at2, find the d2x/dt2

Q: x+2 Find the linearization of f(x) = 6 - 21 dt at x=4. 1+t 6

A: Given a function f(x) at x=4 We have to find the linearization of f(x) at x=4 For solving this 1st…

Q: 10 1. S" f(t) 8(t – 6)dt, f(t) = t2. %3D -

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

Q: 3t dt g(x) g'(x) = ||

A:

Q: hich vect וdtiolו y and 2? 1 -2 y = 1 -6 x = 2 8 -1 2 -1 5 2 -3 [ 2 -1

A:

Q: (b) If g(x) = [,! 1 dt, find g'(x) 4+t2

A:

Q: SOLVE FOR THE ORTHOGONAL TRAJECTORIES X'(3k-x) - ky = xy

A: Take first derivative and eliminate k.

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

A:

Q: a) Use the definitlon of derlvative to find ds If dt 2t+1

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: (a) If g(x) = (tan t)³ dt, find g'(x). (b) If h(x) = | (tan t) dt, find h'(x).

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Q: Explain how successive over relation is obtained from the Gauss-Seidel method.

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Q: Find F'(x). 'x+7 F(x) = (6t + 7) dt %3D X1

A: Fundamental theorem of calculus If F(x)=∫af(x)g(t)dtThen,F'(x)=f'(x) g(f(x))

Q: Estimate v16.3 using the linearization L(x) of f(x) = /x at a = 16. (Use decimal notation. Give your…

A:

Q: Integrate f(x) = 10 ( 1 – x)9 where 1 ≤ x ≤ 3, Using Boole’s rule

A: The function f(x)=101-x9 where 1≤x≤3. We have to integrate this integral using the Boole's Rule.