5.) What can you conclude when dx is changing from negative to positive? A) fis at a local minimum B) ƒ is at a local maximum C) fis not at a local minimum D) fis at absolute maximum

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A: Solution: B(-x) is the mirror image of B(x) on the y-axis B(-1)=B(1)=3 B(-3)=B(3)=1 B(0)=0

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A: The area under the curve fx=x2 from x=0 to x=1.

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A: We have to evaluate the integral.

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A:

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A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

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Q: In ly-y-cf dy

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Q: Supply the missing integrand and the limits of integration sinx dy dx _dx |1– y²

A: Solution is given below:

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A: Velocity is obtained by differentiating S

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A: We have to find integrating using partial fraction.

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A: Please see the answer below.

Q: dy 1. Find the general solution of е 3x+2у dx

A: To find the general solution of dydx=e3x+2y.

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Q: 10) (-1

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Q: Find the first derivative of y = ( ex – e –x ) / (ex + e –x ) and y = ln [ x + √ (x2 + 1) ]…

A: y = ex-e-xex+e-x,Differentiate w.r.t.'x'Apply the Quotient…

Q: 3. Solve the equation: (Dª – 1) y = 0

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Q: Sketch the graph of f(x) = 2x + Vx*.

A: Given that we need to Sketch the grah of  y = 2x1/3 + x4/3  Now,  The graph is as follows

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Q: and

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Q: A city had a population of 2,238 at the begining of 1965 and has been growing at 9.6% per year since…

A: TOPIC- EXPONENTIAL FUNCTION

Q: Find the first partial derivative of fx , fy and fz of f ( x , y, z ) = 2xyz +  tan x  +  y sin z…

A: Given problem:- Find the first partial derivative of fx , fy and fz of f ( x , y, z ) = 2xyz + tan x…

Q: 2x (x – 3)2 A = 6, B = 2 A = 2, B = 6 A = 2, B = - 6 A = - 2, B = - 6 A = - 2, B = 6 None of the…

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Q: x-4 dx x2+2x-15 9. 끓 Imlx + 51-mx-3| +C In]x In]x + 5| – In]x – 3| + C 8 Option 1 Option 2 |(x +…

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Q: Suppose f(-5) = 0 g(-5) = 0 f'(-5) = 4 g'(- 5) = 2 %3D %3D and all functions are continuous. f(x)…

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Q: Experimental data on the nitrogen content of soil samples taken from a field used for vegetation was…

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Q: QUESTION 3 The function r(x) is defined as follows: - 2x, x<-1 r(x)= 3x, x2-1 Determine whether r(x)…

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Q: 4. S cotx csc'x dx

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Q: Find the mass of a plate bounded by one arch of the curve y = sin x, and the x-axis, if the density…

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Q: integration by parts

A: Integration by parts (3). ∫sinx lncosx dx

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A: This question is based on indefinite integral.

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: Evaluate the integral Se*dx

A: We can solve this as follows:

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A: Let's find ratio of given complex numbers.

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A: We know, L{eatf(t)}= F(s-a) , where F(s)= L{f(t)} L{cosat}=s/(s²+a²)

Q: 1 -2 Inx x-1 11. lim,» x→1

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Q: 2x²+x² x dx

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A: Given: fθ=2cos3θ Formulas used: ddxcosx=-sinxddxsinx=cosxddxxn=nxn-1ddxCfx=Cddxfx…

Q: 11. Prove that tanh y du = In cosh u + C

A: The integration of the integral is tanhu.

Q: 1) Find a power series representation for the function and determine the interval of…

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Q: The area bounded by the line y = x, the x - axis, the ordinates x =1, x = 2 is 3/2 O 5/2 O 1/2 7/2

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Q: V1-x² dy dx |-V1-x²

A: Solution: ∫-11∫-1-x21-x2 1·dydx