The distance traveled in the time interval 0

Q: aximum v al [1, 5] is

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Q: Evaluate L-1{ -(-e¯™s+4T8+ 2+1

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Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: Solve | x² – 1|+ (x – 1)2 + /x² – 3x + 2 = 0.

A:

Q: f(x) =-2x - 4 if xs2 | 4x -9 if x> 2 f(-4) = f(8) = f(2) =

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Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

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Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: Enter an eqvation_for the line of symmetry for the function flx)=4x²+[6X-9 %3D

A: The function is given by f(x) = 4x2+16x-9 To evaluate : Equation of the line of symmetry

Q: Evaluate -12-31 (x + 4)(x - 5) -dz +C

A:

Q: If the point A (4,3) and B(x,5) are on the circle with centre O (2,3). Find the Value of x

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Q: Differentiate the function. f(x) = 16ã – 3 + 2x Select one: 4x5/4 + 2 4 – 1 64x5/4 + 2 4 + 2 4.

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Q: 10е 3" (1 — 5t) — 0

A:

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: Let f(x) = 2x + 3x? + 5x + 5. Find f(3 + V2).

A:

Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

A:

Q: Identify the vertex of: f(x) = 3(x - 5)² + 1/2 O (-15) O (5) O (-1/52,7) O (5,-)

A: Identify the vertex of: fx=3x-52+72A   72,-15B   72,5C   -152,7D    5,72

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: Please determine the domain of the function

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Q: -5x +3x – 28 dx (x – 1)(x² + 9)

A:

Q: 3x2 + 3x - 1 dx. (x – 1)(x² + 2x + 2)

A: In the given question we have to calculate the integral ∫3x2+3x-1(x-1)(x2+2x+2)dx. i will directly…

Q: Find f(12) - f(-12).

A: Given:f12-f-12fx=x+3        if  x≥58             if   x<5

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

A:

Q: (t+6)2 dt

A: Given,