Q1- Find the maximum vate of change of Rexy) t -ツ fcxy) = Xe fCxg) = Xe at the point (e,o) %3D

Q: 1 4. Determine the value of b and k such that f(x) = kyx – + In (x³) + bx has Vx an inflection point…

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A: The objective of the question is evaluate the definite integral using limit of Riemann sums.

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A: Since you have posted multipart questions i can do first three subparts as per our company…

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Q: 2x²+5 Given f(x) : %3D 5x2-1

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Q: Suppose that a particluar funciton f satisfies f" (x) = - (4 sin(x) + cos(x)), f(0) = 3, f'(0) = 5.…

A: f"(x) = -(4sinx +cosx) ,  f(0) = 3 , f'(0) =5 now integrate the f"(x) f'(x) =4cosx -4sinx +c now…

Q: Solve the following inequalities and write the solution in interval form i) 2|2x+7| +2 ≤24…

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Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) - Choose the Maclaurin series. 6"x" In…

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Q: (4e²+7x°+5 cos z + 2)dx

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

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Q: se the cross product to find an equation of th (3. 4.-1) 32. (a. b.

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Q: 3. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is. units. 2т 4

A: As we know that; The standard form of the sinusoidal function is: y=asinbx-c Where;…

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Q: The unit price of hamburger of a fast food shop called "MacDonna" increasesd according the formula…

A: Given: "MacDonna" increased the price of a hamburger according to the formula, P=a·bt where, P is…

Q: Evaluate the following definite integral. 1 5. (2x + 7)2

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Q: a) Find the second and the ninety-seventh term of the sequence 8 15 22 29 ( 18' 33' 48 ' 63 the…

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Q: 1. Solve the equation: log5 (7x - 3) =3

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Q: Ex : Express the Sum o+ 2 +4+6+8 in Sigma nata tion. K = -2 %3D -2

A: First we find nth term of AP then replace k by k+3

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A: A Cotangent graph does not have an amplitude??

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A: Basic integration is done.

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Q: Given the following matrices: 3 3 2 3 1 -3 0 4 1 A = 5 6 3 B= 1 2 C = ;C = 4 0-2 %3D %3D 3 2 -3 -1 2…

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Q: 3 dx x² +4x+29

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Q: Show that f2x² dx = J; 2x² dx + [° 2x° dx + f° 2x° dx %3D

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Q: x sec (3x) tan (3x)dx

A: ∫ xsec3xtan3xdx

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Q: What effect does the 5 have on the graph of y = cos x in the function y = cos x + 5?

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Q: find the domain of the following equation: f(x) = 4 Vx2 – 4

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Q: Show by integration that the volume of a sphere of radius r is V=4/3 πr³

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