Given fax)= メニ Determine if f (x) is con tin uous at X= . check all thvee conditious for a fanetiolm to con tin uous at a point. Cousidor both left and vi ont handrd limit be

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A: As per our policy we are allowed to answer only first three sub parts of the question.Now,To…

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A: We have been given a function and we need to find its derivative.

Q: O Find absolute extrema for f(x)= x*-6x² +9x +l in terval [0,5] Gn

A: Given that fx=x3-6x2+9x+1To find : absolute extrema on interval  0,5Solution…

Q: 2) Use the limit definition to find the derivative of the given function. y = 3r2 – 2x

A: Limit definition of derivative is f'(x)=limh→0f(x+h)-f(x)h

Q: 1. ne derivative of f(x)= S (x) %3D Jx+5 S0 howemod ngieeAdeW wheban

A: We have to find the derivative of 1/sqrt(x+5) by using the limit definition of derivative

Q: 10, elseunére Y= amount ok pollutant Per Sample callected a buve the Stack Wthout the cleaning devie…

A: Given  fy1,y2=1   , 0≤y1≤2 , 0≤y2≤1 , 2y2≤y10   ,  elsewhere

Q: 1) Use the limit definition to find the derivative of the function f(x) = 3x – 5x?. Then find all…

A: Derivative of the function in terms of limit is f'(x)=limh→0f(x+h)-f(x)h

Q: 3. For which x value(s) is f(x) = sin 2x continuous? Explain why.

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Q: Consider the aleatory variable X with densidad: f (x) = (1/6)x 2 ≤ x ≤ 4 a)…

A: Let X be a continuous random variable with the range [a, b] then the probability density function…

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Q: Value: 11 dy If y=sec (20), find- d0 Enter your answer as an integer or a reducec

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Q: Find ell eigen eigen elues eipeo vect ors of T(x, x2 ** )=(Xxy xXg --- ) ... ..-

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Q: 1 30. Given f(x) ==x³ + 2x [0,3]. Using the Mean Value The interval [a, b] for which the line…

A: The mean value theorem states that if we have a function f which is continuous in the interval [a,b]…

Q: If f(6) = 13, f' is continuous, and f'(x) dx = 16. Find f(7) and enter a numerical value. Example,…

A: In this question given that f(6) and find the value of f(7) . We use here integration method to…