4. a) Solve the equation 5sin-'x- 2n = 2sin-'x-3n 6) Graph, find x where f(x) = g(x), bounded by equations f(x) = 2sinx & g(x) = -2sinx + 2 on (0, 21).

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A: Hello, I don't understand what is the associated function you are asking. There are many associated…

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A: According to the given information,

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

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A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

Q: f(x)=-4x+2/(x+1)^2(x+5) Sketch the graph label the xintercepts and the y intercept.

A: Given that, the function is fx=-4x+2x+12x+5.

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) q(x) = g(x) y 12 10 8 6 2 -2 6 8 10 (a) Find p'(4).…

A: a) Given that p(x)=f(x)g(x)So, p'(x)=f'(x)g(x)+f(x)g'(x) [product rule]We plug…

Q: B) If fx) =-3x² +13 and g(x) =x'+8r-2; find the following. i) (g+f)(x) ii) Ax) - glr) C) 1) If f(x)…

A:

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A: Given: x3-x ln x-1=0  Interval (0,2)

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A:

Q: check uniquness and existance for fixed point while f(x)=(2x+1)^-3 in [1,2]

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Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

A:

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: 3) a) Find the real and imaginary parts of the following functions: ^) f(2)= ²² +₁ Z-1 2) f(z) = 3z²…

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Q: Find the derivate of the function: a) f(x) = x²(x²-8) F'(x) = 2 b) f(x) = (5x²³-7) (6x + 1) = 3 c)…

A: Since you have posted multiple question in this question so i have solved the first three subpart…

Q: (ii) Show that {Xt} is stationary.

A:

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Q: Let f(x) = 5x and g(x) = ex + 7. Determine the x-coordinate where the graphs of the two functions…

A: