Determine where h(x) = sin(x- Sx + 2) is continuous. %3D h is continuous on the interval [0, co). h is continuous for all x. h is continuous on the interval [0, 1]. h is continuous on the interval [-1, 1].

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A: To find constant c1 and c2 such that Fx=c1 xsinx+c2cosx is an antiderivative of fx=x cosx. Solution:…

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Q: If f is continuous and f(x)dx=10 on the interval [0,4] find xf(x^2) dx on the interval [0,2]

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A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Construct an antiderivative for each of the functions below. *An antiderivative for f is a function…

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Q: #46

A: We need to find the value of b such that the function g(x) is continuous at every x,

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Q: Find the value of c that makes the function continuous at x = 0. SNIPP

A: Hence it is given that the given function is continuous, so we can write:…

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Q: evaluated at x = 0.001 and y = 0.002 Compute the derivative of the following: 5 g(x) =, 2.1'x f(x) =…

A: topic - derivative of a function

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Q: Consider the function if t= 0 f(t) if 1 + 0 e Show that f(t) is continuous at t = 0 Use L'Hopital's…

A: Using limit definition of the continuity of the function at point.

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Q: Obtain the derivative of any of the following functions: A) f(x) = 3cotg²3x B) f(x) = 6cos7(3x2 – 1)…

A: Answer

Q: Find linearization L(x) of f(x) = tanh=' at a= 0 and use it to estimate f(0.01).

A: Topic:- linearisation

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Q: Find the average of the function g (x) = 2 cos 2x on the interval [0, r] -T

A: The function f(x)=2 cos 2x on the interval 0,π

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Q: 2. If f is a continuous function such that S(t)dt = cos(2x)e* - [e s(t)dt for all x, find an…

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Q: "For a continuous function f(x), defined on an interval a , b, we have d f(x) dx = f(x), dx a…

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Q: Suppose that f (x) is a continuous function, f(-1) = 6, f(2) = and f(x)dx: = -3 = T. Evaluate the…

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Q: Find the maximum and minimum values of the function f(x) = x – sin x on [0, 27). %3D

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A: Since there is a mistake in third question i do first two question as per our company guidelines…

Q: Define h(x) = x³ sin(1/x) for x + 0 and h(0) = 0. Prove that h' is not differentiable at x = 0. .

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Q: 5. Given F(x) = cos (t) dt, determine F'(x). 2

A: Using leibniz rule  Explanation is given below....

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Q: Find the absolute extrema of the function on the closed interval.

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſ ƒ (x)dx = 4.…

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Q: Let f (x) = 3 sin(2x) – 3 cos(3x). Find the values for the constants in the derivatives f' (x), f "…

A: We have to find the constant

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A: Given,

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A: We have to find value of constant and then mean.

Q: Find a nonzero value for the constant k that makes the function (tan(kx) x < 0 f(x) = Зх + 2k?, x 2…

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Q: Q: Which c.d.f. F is of X is continuous at x=0?

A: If F(0) = F(0-) then F(x) is said to be continuous at x = 0

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Q: Find the antiderivative F(x) of f(x) = 8(sec x)(sec x – 4 tan x).

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Q: 2. i) Give an example of a nonzero continuous function f on [0,1] such that f(x)dx = 0.

A: We have to give an example of a nonzero continuous function f  on [0,1] such that  ∫01f(x)dx = 0

Q: Find an antiderivative F(x) of the function f(x)= 7sinx / 12+cosx such that F(0)=1.

A: Now,

Q: A function f is defined by f (x1) = / Cos(x – t) os(x-t) dt cos(t) f (x) : 01 Simplify f(x) and…

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Q: Find the particular antiderivative F of f . f (x) = cos x ( 5sec (x)– 18/2 tan x), F (4) = 31. Enter…

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Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: 2x+1 tan" log, (x +x+1)+(b-Sb+3)x+c. If f(x) is a -1 Q: Let f(x)= V3 decreasing function of x for…

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Q: sin(bx) x0. Find a value of b such that f is continuous, or explain why no such value exists.

A: Given, f(x)=sin(bx)xx&lt;0exp(x+5)x≥0