Find the maximum and minimum values of g(x) =1+ x + x2 + x³ + x4 + x on the interval [0, 2].

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Q: Study the sign of f(x) = -x + 6x – 9. %3D

A: Given: - The function is, f(x)=-x2+6x-9 To study: - The sign of given function f(x).

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Q: ,2 + 5х + 4 f(xæ) х — 1

A: For x-intercept substitute f(x)=0⇒x2+5x+4x-1=0⇒x2+5x+4=0⇒x2+4x+x+4=0⇒x(x+4)+1(x+4)-0⇒(x+4)(x+1)=0⇒⇒x...

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A: Please refer to the image below

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A: Let's find. 

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A: Here we have to draw tangent lines at a given point on the graph. 

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A: given that fx=(-32x^3+96)^{1/3}

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Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

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A: Given: I=∫(sin2θ+1)dθsin2θ+θ

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Q: Question 6 (x5-x3– 6x) dx is the same as x²+2 4x dx x2+2 D 8x dx x²+2 (E F None

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Q: Consider the following equation. xy + 2x + 3x² = 8 (a) Find dy/dx by implicit differentiation. y' = ...

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Q: Which of the following relation can be used to find the side b? a) 15 + 25 = b? b) 15? - 25° = b? c)...

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Q: Joseph's

A: Please refer to the image below

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Q: Functions f and g are defined by g(x) = V-x+4, x<4; xeR h(x) = 2e*, x20; xeR (a) Find the composite ...

A: g(x)=-x+4, x≤4h(x)=2ex, x≥0a)   (h∘g)(x)    =h(g(x))     =h(-x+4)     =2e-x+4 ⇒(h∘g)(x)=2e-x+4   Dom...

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Q: " sin²(x) + sin(x) cos²(x) To evaluate the -dx using basic formula of integration (without using sub...

A: ∫sin2x+sinxcos2xdx = ∫sinx(sinx+1)1-sin2xdx                               = ∫sinx(sinx+1)(1-sinx)(1+...

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A: Given,            The function is fx=7+xe-2x centered at a=0.To find : The Taylor polynomial of 2nd ...

Q: 4. The average score of Sam in his four tests is 85. If his first three test has an average of 88, w...

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Q: Express the following in Partial fractions 9x2 + 48x + 18 (2x +1)(x2 + 8x + 3) Question

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Q: Determine the coefficient of Cot(x) when we evaluate [[cot(x)- csc(x)]²dx_

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