Graph the function h: Z→Z, defined by h(x)=| 3

Q: Suppose that g is a continuous function. Find the general solution of y" – y = g(t).

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Q: What are the global max and min over the interval x E [0, 0) for the graph of f(x) f(x) = (X e)-3x

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Q: For the continuous function f(x), if f’(-4) does not exist, then x=-4 is a critical point.

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Q: Show that the function f(x) = e¯*/2 has inflection points x = f1. at

A: We have the given function as fx=e-x22              ⋯⋯1 As we know that, a point of inflection of…

Q: Define h(2) in a way that extends h(t) = (t2 + 3t - 10)/(t - 2) to be continuous at t = 2.

A: Consider the given the function,

Q: Please

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Q: Use the chain rule to show that for any differentiable function f(x), [e/(e) = f(x)e/(=),

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Q: Find the global extrema of f(x)=x2e−x on the interval [−1,1].

A: Given function is

Q: on f(x, y) = 3x + 9y subject to th %3D

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Q: Find the characteristic function for fy(x)=e.

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Q: Determine the set of points at which the function is continuous. a) f(x,y) = ln (x² + y² – 4)

A: According to question given thatf(x,y)=ln (x2+y2-4)

Q: Suppose that a continuous function g satisfies: g(x)dx = 42 and g(2x)dx = 3. %3D 2 Find æg(3x²)dx.

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Q: Find the linearization L(x)  of the function f(x) = x^4 -2x^2+3  at  x =0.

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Q: Let f : Z+ → N be the floor function f(x) = [(x – 1)/2].

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Q: Find the linearization L(x) of the function at f(x) = x4 + 2x2, a = 1 L(x) =

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Q: 8. Consider the function f(x)=/25-x² . a. Find the linearization L(x) of f(x) at x=3.

A: Given expression is , fx=25-x2 to find out the linearization L(x) of f(x) at x=3.

Q: 2. Find a function of the form y = Asin(x) + D or y = Acos(x) +D whose graph matches the graph…

A: We know that time period of sin(x) and cos(x) both are 2π

Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: -Q3/As the function f(x,y) = at (-1,2) xy 1 + x² + y² is Continuous

A: Here we have to check the continuity of the function at the given point.

Q: Let A(x) f(t)dt, with f(x) shown in the graph below. -3- ** * T?

A: As per the fundamental theorem of calculus, given a function A(x)=∫0xf(t) dt, the derivative of this…

Q: 7) Find the absolute maximum of the function f on (0,E) S(x)= 10xe

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Q: Is the function continuous  f(x) = e^x / 1 - e^x

A: We need to check the continuity of the function

Q: Find the linearization L(x) at x =a. .3 f(x)=4x² +3x-1 a =-3 L(x) =

A: The linearization of a differentiable function f at a point x=a is the linear function…

Q: Consider a continuous function f(x)=2ex−1−2x. The graph of f is decreasing on which interval/s?

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Q: Let f(z) (x-iy)e- ) Determine the points at which exist, and find r(2) at these points.

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Q: Find the best quadratic approximation to f on the interval [ 0, 1].                     f(x) = x3

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

A: To find the Linearization.

Q: attached

A: Linearization of f(x) at x=a is given by

Q: Prove that f(x) = other than the graphing method. x² – 1 is continuous at c = 0 by any method |

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Q: 24, Find the domain of H function fw =J 2x+3 -1

A: Given,

Q: Find the Wronskian for the set of functions.{ex, e−x}

A: Given set of functions ,f1=ex & f2=e-x

Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 16/x on the interval [0,…

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Q: find the formula for a function of the form f(t)=at+b/t with a local minimum at (3,3) and a local…

A: For critical values of f(t), f'(t)=0Critical values of f(t) are t=-3 and t=3So we find f'(t) from…

Q: d. Find the linear approximation L(x) for f(x)=x²-x-1 at a = 1.

A: Given function is fx=x3−x−1. d We have to find the linear approximation Lx for function fx at a=1.…

Q: Use the linearization of f(x) 1 at x = 4 to approximate f(4.3) . - f(x) =

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Q: Find the linearization L(x)of the function at a .

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Q: Compute the linearisation l(x) of f(x) = √1+x3 at x=2 and use this to estimate f(2.05)

A: Given function is: fx=1+x3 At x0=2 So the linear approximation is: Lx≈fx0+f'x0x-x0…

Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = x−1, [2,…

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Q: Let A(z) | f(t)dt where f is the function given by the graph below. -2- -3 -4+ to

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Q: Find and classify all critical points of the function defined by h(x,y)=x^3−3x+3xy^2.

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Q: Suppose that a continuous function g satisfies: g(x)dx = 42 and | g(2x)dx = 12. 2 | #g(3x²)dx. Find

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Q: Find the linearization L(x) of f(x) at x = a. f(x) = a = 0 4x +3

A: topic - linearization of a function

Q: Draw the graph of a continuous function f(x) where f(-2) = 0, f(2) = 0, but there is no value c€…

A: Given: f(-2)=0 ;     f(2)=0but there exists at least one c∈-2, 2…

Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

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Q: Let A(x) = f(t)dt, with f(x) shown in the graph below.

A: Given that: Graph of f(x)

Q: Form the PDE by eliminating the arbitrary functions from the relation z = f(xy)

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Q: Find c such that the function x c is continuous everywhere. x² – 8 f(x) = {

A: ANSWER : c = 5

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.