J Express the interval in (a-R, atR)d 1 x_- alcR and

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Q: f(x) = 3x? + 8 x = 5 21 6 30 -5 2 | f(x) = x³ – 2x² * = 2 3 f(x) = -x? + 3x + 9 15 4 2 3 *= -6 | f(x...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

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A: From the given information,           3 × times of Red flower = 60                        

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Q: Find range of function f(x): b) f(x)= (2 – x)V 4x – x²,xE (0, 4) -

A: b)   f(x)=(2-x)4x-x2 , x∈(0,4)         plot the function on the graph    

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Q: JUX² +2x-8 dx Evaluate lx + 1Wx + 1)* + 9 = l(x + 1) + Vtx + 1}² – 9|]+c 9ln (+ 1)/(x + 1)² – 9 – 3l...

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Q: 1 6. Evaluate the given integral using suitable substituion COs(V도+ 3) dr

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Q: csc x du (3T 5. If u = f(x), then dx sin x – cos x Compute f и %3D (a) 1 (b) -1 (c) 0 (d) 2

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A: Given integral is improper integral of second kind, just split it in two parts and easily find the r...

Q: Find the solution of the following initial value problem: An 14a,-1- 49an- 2; ao = 0, a1 = 6 %3D an ...

A: Let us take an=rn. So, the characteristics equation will be       r2-14r+49=0⇒r=7, 7 Further, we hav...

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Q: S 5e¯x- 6e-3x Given: Find: u 5e2x – 6 O 5e-x- 6e-3x O5e-x- 6e-3x O 5-6e-2x

A: Given:  ∫ex5e-x-6e-3x3 dx To Find:  To find u substitution.    

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Q: MAT

A: Graphical representation:

Q: 3. Given n > 1, let S = E-1: Show that S, is not k=1 _k° an integer.

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Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. 2. Write the g...

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Q: 15. Find the area between the curves x = y? - 4 and x = 8- 2y.

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