(c) Let g : R → R be a continuous function such that +5x-9 g(t) dt = –3x . Help Willow find the value of g(-3) by differentiating the above equation with respect to x.

Q: Find the linearization of the function f (x) = x' at x = 1. L (x) =

A:

Q: 4. Find the linear approximation to f(x) = cos(x) near a =- [Where L(x) = f(a) + f'(a)(x – a) ]

A:

Q: Find the linearization L(x) to the function f(x)= Vx+4 at x =4, then use the linearization to…

A: linearlization of f(x) at x=a is  L(x) = f(a) + (x-a)f'a)

Q: Find the linearization of the function f (x) = x at x = 1. L (x) = 固団 Using this linearlization, f…

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Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A:

Q: Find the linearization of g(x) = 3 + sec (t - 1) dt at x = -1.

A:

Q: Find the minimum and maximum of A over a particular interval [0,6]. A(x) = f(t) dt

A: The solution is given below in the next step: I

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

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Q: Find the linearization of the function f (x) = x' at x = 1. a ab Va |a| sin (a) 7 х-6 L (x) Using…

A: Given a function,

Q: (b) Find the first order partial derivative af and for the function f(x, y) = x/y –x²y+ y²

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Q: 8. Let y -e=y-x²y. Find dy dxlx=1 be a function of x such that e*-y

A:

Q: Q2. Find the second order partial derivative of F(x.y) = x³+ x°y°- 2y² w.r.t. x at (2,1).

A: Given:        Fx,y=x3+x2y3-2y2  taking first partial derivative with respect to x.…

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: Find the linearization L(x) of the function at a. f(x) = Vx, a = 25 L(x) =

A: The solution of the problem is given in the next step.

Q: 11. Find the linear approximation of f(x) = √√x_ at a = 1. Use the linearization to estimate the…

A:

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

A: We have to differentiate the given function.

Q: f(x, y, z) = e2* +e3y + e4=

A:

Q: Find the local linearization of f(x)=x^(2) at 2

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Q: Find the linearization of the function f (x) = x° at æ = 1. L(2) = Using this linearlization, f…

A:

Q: Find the linearization L(x) of the function f(x)=x^3/4 at x=1

A: Given, f(x)= x³/4 x=1 Therefore, f(x=1)=1³/4 f(x=1)=1/4

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

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: Find the linearization of the function f (x) = xº at x = 1. L (x) = Using this linearlization, f…

A:

Q: ) Find the linearization of f(x) = sinx at x = 0.(b) Compute dy if y = x2 +x and x changes from x =…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find linearizing ( L(x) ) f(x) at x=a . where f(x) = tanx and a = π a) π b)  x - π c) π - x d)…

A: SOLUTION-

Q: Recall the chain rule from differential calculus: f (g (æ)) = f' (9 (æ)) · g' (æ). d dx Find de tan…

A: We have to find

Q: Find the linearization L(x)of f(x)at x = a where f(x) = Vx² + 9 at a = –4

A:

Q: 1. Let F(x)=√1+t² dt. Find F'(1).

A:

Q: (a) Find the linearization of the function f(x) =x+ at x= a=1

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Q: Find the linearization L(x) of f(x) = cot x at x = 4

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Q: III. Let g be defined by the equation g(x) = dt t²-1 Show that g'(x) = secx.

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Q: Find the linearization of the function f(x): L(z)= ab a --4x-5 va a न 4x+3 at z=-1 sin (a) E

A:

Q: Find the linearization of the function f (x) = x° at z = 1.

A: Given, f(x)=x6

Q: Given a function y² z f(w, x, y, z) = 2(w + 1)²x - xe² + W which of the following is not part of the…

A:

Q: Find the linearization of the function f (x) = x6 at x = 1. L (x) = Using this linearlization, f…

A:

Q: Find the linear approximation L(x) of the function g(x)=  ∛(2+x ) at a = 0 and use it to approximate…

A:

Q: d Use the chain rule to calculate f(x) if f(x) In (1+ tº) dt. dx, 0. f(x) =

A: let's use chain rule and find derivative of integral.

Q: Find a multivariable function f(x, t) that satisfies the Black-Scholes equation: ft = f - xfx -…

A: f(x,t)=etlog(x) satisfies Black-Scholes equation: ft = f - xfx - x2fxx

Q: A) Find the linearization of the function at the given point. f (x, y) = 1+ y ln (6 – xy), at (5, 1)…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the linearization L(x) of the function at a. f(x) = Va, a = -8 L(x) =

A:

Q: Suppose f(x, y)= g(x)h(y), where g and h are continuously differentiable functions of one variable…

A:

Q: A function y(t) satisfies th

A: Given, the differential equation                       dydt=-y4-3y3+4y2

Q: Find the linearization of the function f (x) = a° at a = 1.

A:

Q: Show that the linearization of f(x) = (1 + x)k at x = 0 is L(x) = 1+ kx.

A: We need a linear approximation formula for f(x).

Q: FInd the linearization of the function given below at the specified point. f(x) = 5 In(x) at a = 1…

A: f(x)=5ln(x)  at x=1

Q: 13. Prove that the function 2x 1 dt t F(x) is a constant on the interval (0, ∞ )

A: The student has specifically asked for the solution to Question-13. Hence, that question is solved…

Q: Find the linearization L(x) of the function at a. f(x) = Vx, a = 16

A:

Q: Calculate the derivatives of all orders: f'(x), f"(x), f"'(x), f(4)(x), f(x) = e3x - 1 f(x) = 3e3r-1…

A: We use chain rule to find these derivatives