Show that f(x)=2x+1 is continuous at x-5. Write ó-e proof.

Q: h(띠)= Jo 2+t+2 h(피) t2 +t+2 2)

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Q: Let f(x)=xsinx+V1-x Evaluate f'(-). Select one: а. 2 b. 0 C. d. 3

A: According to product rule of differentiation and according to power rule of differentiation .

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A: If f(x)=ax, Then to show that, f(αx)=f(x)α

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A: To check the continuity of given function,

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Q: 4. Let the function f: R - {2} → R be defined by f(x) x-5 2x - 3 Prove that ran(f) = R-{}}.

A: The given problem is to prove that the range of given function is Ran(f)=R-{1/2} . Given function…

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A: Given query is to find the value of a and b.

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Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x&lt;-2a+b if…

Q: 119. If f(x) = a*, show that f(A + B) = f(A) • f(B).

A: Given: fx=ax For finding fA+B, we put x=A+B in given expression and simplify it

Q: If f is a function that is continuous on the open interval (1, 4), then f is continuous at x = 3.…

A: Given: If f is a function that is continuous on the open interval (1,4), then f is continuous at…

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A: We know that function is continuous at c if the 1) f(c) is defined 2)limit of f(x) exist, Here…

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Q: Use 50 rectangles to approximate the are under the graph of f(x)=3** on [-2,2].

A: Area under the curve using left end points : The area under the y=f(x) over the interval a, b is…

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Q: [√81 - x² dx. (a) If the integral above computes the area under the graph of some function, f(x),…

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Q: ample 23: Show that the function f(x)=1-1-x is continuous on the interval [-1. 11.

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Q: Please show all work:  Is f(x)= x2+3 continuous at x=1? Why or why not? (A rigorous mathematical…

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