Let f1, f2, .. fn be n real-valued, differentiable functions.- Prove that e :[fif2 ... fn] = (fif2 …* fn) + (fif2 · fn) + ……·+ (fifz ·. fí). « You may cite basic calculus theorems without proving them.)

Q: h(띠)= Jo 2+t+2 h(피) t2 +t+2 2)

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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(-7)= f(-1) = ƒ(4) = f(8)=

A: from the graph we have seen that the graph break at x=-1 and x=4from the graph we have seen that the…

Q: For what values of a and b is the function f continuous on (- 00,00)? (Write only the values of a…

A: For what values of a and b the function f continuous on -∞,∞            a-3x     if x<-1f(x)= 4a…

Q: Evaluate S*dx Vx+1 à. (1 +)} B. - (1 + c. (1-5 + c D. - (1-5i + c + C В. + C 3 3 A OB Ос OD

A: The given options are wrong. We use power rule and integration by parts formula to evaluate the…

Q: If f is one-to-one and f( – 3) = 12, then f-'(12) and (f( – 3))¯

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

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Q: What is the point of intersection for f(x) = 2* and g (x) = (÷) ? A (1,0) (2,4) C (1.) (0.1)

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Q: f: ℝ -> ℝ is defined by f(x)=x/(x^2 +1) Explain why the following claim is TRUE, or explain why the…

A: The claim f is 1-1, is FALSE.

Q: If f (x) = x² - x and g(x)=√x-2, what is (fog)(x) ? Simplify your answer. x²-x-2 /x² - 2 2-x-2 O…

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Q: Let A = {1,2, 3} be a set. Then the Cartesian product Ax A = {1,4, 9}.

A: In the given question we have to tell about the statement s.t are they true or false. (1) the given…

Q: Which of the following are generally NOT true, for any given function f:X-->Y and subsets A and B of…

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Q: Jika fungsi f(x) =x+, maka f-²(x) = .. B. -*+ c. - D.+ E. - A D O E

A: The given function is  f(x) = 23x+12

Q: PROVE THAT Q(-∞) =1 usign Q – Function

A: Given that Q-∞=1

Q: What is the least upper bound of the real interval (2, 6)?

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Q: t) For each of the following functions, state whether they are one-to-one or not. (You must enter T…

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Q: 4. please help!'   Calculate the domain of the function:

A: Step 1:

Q: I WILL GIVE DISLIKES !!! IF ANYTHING WRONG HAPPENS IN MY QUESTION, BETTER SKIP IT!!!"6 Ch ota ihe…

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Q: جر جدور المعادلة )و تكرارات ( f(x) = x- AX+3 )4ا,2]

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Q: Let F ~ F4,5. Assume c₁ satisfies P(F > c₁) = 0.05 and P(F< c₂) = 0.05. Then, c₁ =_ and C₂ = (b).

A: It is given that F∼F4,5 c1 and c2 are two constants such that P(F&gt;c1)=0.05 and P(F&lt;c2)=0.05

Q: Let f(x) = 2x3 – 24x2 + 90x - 12. Find the intervals where f is increasing.

A: Given,           fx=2x3-24x2+90x-12

Q: Question 1 Determine which of the following functions are a bijection from the set of real numbers…

A: f(x) = x11 - 7x7 is not one-to-one, as           0 ≠ 71/4 but f(0) = f(71/4) = 0   Consequently,…

Q: i Which of the following functions have zeros at 1 and -2? (x + 4)(x+2)(x = } x + 3){x – 4) I. f(x)…

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