10 If f is a continuous function and F'(x)=f(x) for all x € R, then dx=? @2[F(5) – F(1)] ®2[F(10) – F(2)] © HF10) - F2)] O IFIS) - F1)]

Q: 2 2 x >1 4 2x> 2 4 x+ 2 b) f(x) = . 16 52x>4 x² + b 6 2 x > 5 1)is the above function continues at…

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Q: f(x) = 3x² - 2x-2, [-1,2]

A: To determine if the function   is continuous over the interval [−1,2], we need to check three…

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

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Q: Find f-1(x) f(x)=(ex+1)/(2-ex)

A: To find the inverse of the given function

Q: (4x+7 (ii) If f(x) = { 14x²-1 Isxs2 2<154 determine whether the function f(x) is continuous…

A: In this question we have to check whether the given function is continuous throughout its domain or…

Q: ,for x 1 Discuss the contuniuty of f andf'.

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Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: How would you transform the function given by f(x) = |x| to fit the data shown? YA f(x) = |x| 4 2 -6…

A: Given:

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

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Q: Ef(x) = x² + 2x – 6find 7(x+h)-f(x) h = 0

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Q: What is the Domain of f(X) = 7*? None of these. (7, ) 00, ) (0, ∞)

A: We know that domain of exponential function f(x)=ax is -∞,∞ as the function f(x) is defined for all…

Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: 10 x Show that the function f(x)= is not 5 x^2+1 one-to-one functions by giving two different real…

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Q: Let f=​{(0​,8​),(5​,0​),(9​,4​)}. Find f(0)

A: We have given f.  We have to find f(0)

Q: Q3\ a) Find the values of a and b to make the functions continuous at every x: ax + 2b 2) g(x) = }x²…

A: Given function is,  f(x)=-2        ;x≤-1ax-b   ;-1≤x≤13          ;x&gt;1

Q: Let f(x) = 11 + 5 f- (2) =

A: Given  f(x) = 11x + 5 To find  f-1(x)

Q: if fi(x) = xand f,(x,) = xf(x»x2) = Is this function independent true false

A: Function is independent if f(x1,x2) = f(x1) f(x2).

Q: Show that f(z) = 3z² + 2z+5 is analytic function.

A: Given