Suppose f (4) =(;)* Evaluate: |dr

Q: If the functions f and g are continuous for all real x, is f + g always continuous for all real x?…

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Q: FIND F'): a. (ax+)*

A: TO FIND: f'(x)

Q: Find the domain of the function ∑ akzk from k = 0 to k = ∞

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Q: 3 If f(x) = 2 + x, evaluate Σƒ (k+1). atas (k k=1

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Q: Let g(x) -x V25- x. A+ where (25 -je" A 9"(x) where (25 - x)"

A: As per our guidelines, we are allowed to answer only one question. Since, you have asked multiple…

Q: How can I show that f(x) is O(x2), where f(x) = 6x2 + x + 1

A: Given: f(x) = 6x2 + x + 1

Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

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Q: The domain of f(x) = Vx² – 3 is {x:xs-V3 or x2 V3} True O False

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Q: Is it possible to determine f (7) if f (x) = 3 for all x < 7 and f is right-continuous at x = 7?…

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Q: Let f(2) = In[="(= + 7)*(z² + 7)°] f'(x) =

A: Given : fx = lnx8x+72x2+76

Q: Find the extreme and possible points of inflection (if an exist) of f(x) = In x

A: If a function f(x) is given, to find its inflexion or extrema, first find the critical points of the…

Q: 6. Let (1- x2, if x 1 Find f (-1)

A: 6.  Given that , f(x) = 1-x2    ; if x≤12x+1   if x>1we have to find f(-1)

Q: . If f(x) = 3x find the image and preimage of 6.

A: Given: fx=3x To determine: Image & Preimage od 6.

Q: (a) Someone has claimed that since 14 is itself a multiple of 7, then there are more multiples of 7…

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Q: Determine if f is continuous at x 9 from the right. [5x² f(x) = 3x-27 if x <9 if x29

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Q: - whether the following relation is a functio- x² – 2x + 1

A: We have to identify  the given  relation is function  not

Q: Which of the following are proper interpretations on f(2)?

A: Proper interpretation on f’(2) f’(2) is the derivative of function f at x=2 Derivative is the slope…

Q: Suppose that f(0)=−4 and f′(x)≤6 for all values of x. Use the Mean Value Theorem to determine how…

A: Here given  f′(x)≤6 for all values of x. Thus there exist c between 0 to 4 such that f'c≤0

Q: o) Use chain and power rule to differentiate f(x) = Vsec x'

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Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the…

A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

Q: Suppose that f(2) = 16 and that f (x) 2 - 3 for allx in the interval [2,7]. Determine the smallest…

A: Follow the procedure given below.

Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

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Q: Suppose a increases on

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Q: 64. Suppose that 3 < f (x) < 5 for all values of x. Show that 18 < f(8)- f(2) < 30.

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Recall that the set F(-0,0) of all real-valued fu

A: Given, the vector F over the field -∞,∞ and the subset                         A=f:ℝ→ℝ|f(-x)=-f(x) ∀…

Q: Show that f 1 (3) does not exist.

A: Given : To show f'(3) doesnot exists

Q: Let f(x) -2x² + x-5. Find f(-x). f is -- O odd O Even Neither All of the above

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Q: Find the domain of the function. k(x) = In |x|

A: The domain of a function, f(x)  is the set of input values of x for which f(x) is real and defined.

Q: What is the total change of f(x), if ƒ'(x) = 2x − 3x², over the interval [0, 3 -18 -12 -6

A: Given query is to find the total change for the given intererval.

Q: Suppose that f(0) = 2 and f'(x) < 6 for all values of r. Use the Mean Value Theorem to determine how…

A: topic - mean value theorem

Q: The domain of f(x) = Vx2 – 3 is {x:x s-V3 or x2 V3} | True False O O

A:

Q: Show that E( X - K )2 = var( X) + [E(X) - K]2

A: var(X)=E(X2)-E(X)2 E(a)=a  where a is constant (a-b)2=a2-2ab+b2

Q: Let f(x) = 7x° In(x) + 3 5 f'(x) =

A: We have to find

Q: Is it possible to determine f(7) if f(x) = 3 for all x &lt; 7 and f is rightcontinuous at x = 7?…

A: Solution: Consider the given that f(x) = 3 for all x &lt; 7 f is right continuous at x = 7  The…

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: Let f(x) = x² and g(x) = x – 3. Evaluate the expressic (X)(6 . A)

A: Composition of two functions:            Composition of a function is done by substituting one…

Q: 6 Evaluate f S Suh

A:

Q: f(x) = x³ – 3x²

A: Given: f(x) =x3 -3x2 -9x +27

Q: Let f(x) = ex . Then f(n) (0)    ???????

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Q: 6. Let f(x) = V2x + 1, find as Ax - Ax

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Q: evaluate f(x)=5x^4+x^3-4x^2+2x+5 using synthetic substition to find f(1). please show work!

A: Given query is to find the value of the function using synthetic substitution.

Q: Determine the restrictions for x.

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Q: Suppose that f(x)=x2 ln(9-5x2) find f'(x) and use interval notation to give the domain of f.

A: Solve the following problem

Q: Represent graphically the set of values of z for which 3 < 2 2 + 3

A: According to the given information, it is required to represent the given function graphically.

Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

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Q: 4. Suppose that f(2) = 16 and that f'(x) > – 3 for all x in the interval [2,7]. Determine the…

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Q: Use the Mean-value Theorem to show that In(1+x) 0.

A: Let f(x)=ln(1+x) ⇒f'(x)=11+x For given x&gt;0, f be continuous over the closed interval [0, x] and…

Q: Suppose that 2 < f'(x) < 4 for all values of æ. Use the Mean Value Theorem to find values for the…

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Q: Suppose that f(2) = 16 and that f'(x) 2 - 3 for all x in the interval [2,7]. Determine the smallest…

A: This question is based on Mean value theorem.