f(x) = 3x - 2sınx +7 %3D aluse the intermediate Value Theore m to show that flx) has at least one zero. b)use the mean Value Theorem to shon that flx) has at to-sh. most one 2ero

Q: 1 Find Vf if f = 2 /x²+y² +z?

A:

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: 15) Evaluate each function given that f(x) = 3x? – 2x and g(x) = -8x – x. Give your answer in…

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Q: Answer all a

A: Substituting x = -5 in the given functions, we get i).  ii).

Q: Let f = {(-3,-4),(9,4),(4,5)}. Find f(4).

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Q: write an equatun q the une passes through (4.5, -li6) and' is per pendiaular to he wie dyfined by 5x…

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Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: dx. = 9) Evaluate 2x-1

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Q: 12. Find m/R. (&x - 12) (3x + 5)

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Q: 2-2x find (fif) G) to use f Cx) = x

A:

Q: Verify using Pathagoream Thereom EA 2xv x44 -radius

A:

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?