Find a value of x, if any, at which/(x)= Vx- 27 is not continuous.

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A: A function is continuous when its graph is a single unbroken curve , that you could draw without…

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

Q: Is f(x)= Vx + 1 continuous at x == -1

A: Draw the graph and check continuty with help of limit of function.

Q: Examine if f(x) = ln(x2+2) is uniform continuous on the interval (-∞,∞)

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Q: If f is continuous on [a, b] and "If(x)| dx = 0, what can you conclude about f ?

A: Solution:Given If f is continuous on a,b and ∫abf(x) dx = 0To conclude about f ?

Q: Let f(x)= V x³ at the interval of [0,2] ; then , use the mean valune theorem to find c.

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Q: Define the function f(x, v) = 4x³-x³y-4y5 3x5-3y5 at the origin so that it becomes continuous there.

A: A function is said to be continuous at (a,b) if the the value of function at (a,b) is equal to…

Q: Find a value of x, if any, at which f (x) = Vx – 125 is not continuous. If f(x) is continuous for…

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Q: Determine f(5) if f is a continuous function that satisfies +sin(a) f+sin(a) f(t)dt = 22² for all x.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find a value of x, if any, at which f(x) = Vx – 27 is not continuous.

A: f(x) = (x-27)(1/3) To find :- Value of x where function is discontinuous

Q: SS()dt =x arctan x

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Q: Let 'f be a continuously differentiable real valued function defined bx + a by f(x) ={ 5x x<1 x21…

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Q: Evaluate f x2 dx using the limit defintion of the definite integral.

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Q: / f'(x) sin x dx = 8, / f(x) cos x dx?

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Q: What value for a will make sinx { ,X # 0 2x f(x) = %3D 3D ,X = 0 a continuous function?

A: For a function f(x) to be continuous at x = a,limx→a-f(x) = limx→a+f(x) = f(a)

Q: define the function at 5 so that it becomes continuous at 5.

A: First, we rationalize the function, so that it becomes continuous at 5 which is shown on the board

Q: f(a) = ca + 4 if a E (-∞, 2] I ca -4 if a e (2, 00) if a E (2, ∞)

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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: Use limits to determine if f(x) = 1 is continuous at x = 0. (z+2)?

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Q: Show that the function is continuous. f(x) = cos(x 2)

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Q: Determine the set of points at which the function F(x, y) = arctan ( 3x +7/y – 7 ) is continuous.

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Q: Find a and b so that the function S4z - 3x² + 4, z -2 is both continuous and differentiable. a = b =

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Q: What value of c makes the following function continuous at (0, 0)? f(x) = с, x + y² + 5, (x, y) #…

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Q: Is g(x) = ln( x2+2 ) uniformly continuous on the interval (−∞,∞)?

A: given function is                                                        g(x)=lnx2+2 log is defined…

Q: Find the interval in which function f(x)=sin (log,x)+cos(log,x) is decreasing

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Q: Find y' in the function In (xy + x+ y) = 2 using implicit differentiation.

A: The given equation is: ln (xy+x+y)=2...(1)

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Q: that makes y continuous but not differentiable by writing the required procedures to that If: X≥0…

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Q: Let 'f be a continuously differentiable real valued function defined bx+a x<1 by f(x) = 5x² Then the…

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Q: la y is not measurable. Wan

A: Given a statement

Q: Differentiate the following implicit function with respect to x: xy - -- cos (y*) a.

A: Solving the first part: Given:

Q: Where is f(a) not continuous?

A: Given:

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Q: Let y be a function of x and suppose y= In(y-x). What is the correct result for the derivative of y…

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Q: If ƒ is continuous on [a, b] and, what can you conclude about ƒ?

A: the integral given to us is ∫ab|f(x)|dx=0

Q: If f is continuous on [0, 1], prove that f₁¹ f(x) dx = f₁¹ ƒ(1 − x)dx.

A: This question can be solved using properties of definite integrals.

Q: Determine if g (x) = is continuous at x = 0

A: A function f(x) is continuous at x=a if, limx→af(x)=f(a). We try to evaluate limx→04-xx and f(0) and…

Q: If f(z) is continuous at z then it must be differenttiable at z, 0.

A:

Q: Decide whether or not the real function In (cos 2x) 2x2 x + 0, f(x) = -1, = 0, x = is continuous at…

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

Q: The function f (x) ,x € [-27, 2n] is continuous on: 1-cos x

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Q: | For what value of a is Sx² – 1, x< 3 |2ax, f(x) = continuous at every x?

A: Let f is continuous at x = 3 then left and right limit are equal.

Q: Find the most general antiderivative. Verify with differentiation f(x)=cosx + 2sec^2x

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Q: B) Show that f(x) sin for x * 0. for x= 0. is not continuous.

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Q: .For what values of a is Jaax - 2a, x z 2 f(x) 12, x < 2 continuous at every x?

A: Here given function  Since,  it is continuous for every x thus it Is also continuous for x=2