7- Deteremin all Max and min value of y= xe* +3e³

Q: Differentiate the function. y = (2x-5)³ (5-x4) 4 dy dx

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Q: Find the area of the region between the line y = 2 - x and the x-axis, for 0≤x≤ 4.

A: Given query is to find the area under the curve.

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 7x² + 4x +7 S™x -dx…

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Q: what is the basic concept of a limit? How is a limit calculated? What techniques / rules can be used…

A: We have to answer given Questions.

Q: 2 f(x) = √2x + x².

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Q: Find dy dx 5x 11 100

A: The given function is: y=5x8   As we know that; The Power law; ddxxn=nxn-1 And a·f'=a·f'

Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+9 S: -dx 3 2x - 8x

A: see below the answer and calculation

Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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Q: 9- [+7 (G) Y*%)]" = A. √13 B. -√13 О А О в О с D с. √2 D V3

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Q: Show that the equation is homogeneous and find its solution. dy/dx = x+3y/x-y

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Q: lim 2 x²-9 2 x² - 4x +3 where c = 0 and 1

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Q: 4. Differentiate the following. Simplify your answers. っ 7m)²/3r 116 エコノー

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Q: what is the basic concept of a derivative? How is this derivative calculated? What techniques/rules…

A: Use the definition of derivative

Q: IF y = u+ + 3u2 & u = 3x Find dy dX

A: If y=f(u) and u=g(x),thendydx=dydu.dudx dundu=n.un-1

Q: 4 2 dx 5₂ is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x√√x²-4 c→ 2+ Add…

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Q: ex V1-e2x 1. S dx

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Q: - f (x)) then, the Fourier transform of fex- called Fourier sine transform and denoted Fs { fcx)},…

A: answer is in next step

Q: 25 2=9. - Maximize Q=xy, where x and y are positive numbers such that x +- and y = The maximum value…

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = -x² + 3x - 6…

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Q: 9) (x - 2)² 16 9 (x+5)² ¸ (v+3)² _ 1 = + 25 16 +(y-1)² = 1 11) 2 x² X 13) 121

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Q: Is the function given by g(x)= x+6 continuous over the interval (-4,4)? Why or why not? Select the…

A: Given :g(x)=1x+6   (-4, 4)

Q: 2. What details are used in order to analyze the polynomial function and analyze to sketch the…

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Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

Q: S dx (1+x) √x

A: Given,I=∫11+xxdxSubstitute  u=x(u2=x)Differentiate du=12xdx2du=1xdxThereforeI=∫21+u2du

Q: In 2012, 34.1% of all glass containers were recycled. A beverage company used 350,000 lb of glass…

A: We need to fill in correct answer.

Q: 7+(7) 2 7. If А. 2 О А О в О с O D = 1 then x= В. 4 с. -1 D. 0

A: Given query is to find the value of x.

Q: A. The variables x and y satisfy the following coupled first order differential equations. dx =x-2y…

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Q: is it linear?

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Q: Find the area bounded 1. 2x2 +4x+y=0,y=2x

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: 1 Let an = 9 √n + ln (n) and bn = Calculate the following limit. (Give an exact answer. Use symbolic…

A: Solve the following

Q: 12) (x − 8)²(y+7)² - + 100 25 (x + 2)²_ (y − 1)² 4 64 YG X 14) = 1 G = 1

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: graph of the equation x2/3+2/3-82/3 is one of a family of curves called astroids because of their…

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Q: Q1/ choose a correct answer for each of the followings * 2 is a matrix then AT = [13]. √a² + b² 1 If…

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Q: B-Soive the Differential equation : Y 1 x√√x+x = 0, y(9)=1.

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Q: -1 1 3 Evaluate the following limits. Write dne if the limit does not exist. lim f(x) = x-1 lim f(x)…

A: We have to find the limits.

Q: Use the graph to answer these questions. a. Find lim f(x) and lim f(x). X-4* X-4 b. Find lim f(x).…

A: The graph of the function is  To evaluate: a. limx→4-fx and limx→4+fxb. limx→4fxc. f4d. Continuity…

Q: Show that the equation is homogeneous and find its solution. (x2 + 3xy + y2) dx - x2 dy = 0

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: Form the graph first then see maxima and minima

Q: IF y = u+ + 3u2 & u = 2x Find dy dx

A: Given  y = u4+3u2 and  u = 2x We have to find dydx.

Q: b) lim x²-25 X-4 X+5

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Q: 3) [ = + r³ + 2x² − 8x 2 dr

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Q: Suppose x² y² = x + 17y x = y Find 17 x + y x² + y² + 1

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Q: Əz Assuming that is a differentiable function of and y, use implicit differentiation to find from t…

A: Implicit differentiation

Q: 1. The value of (1.000) 27 is O 327 O 0.327 O 1.000 O Non of them

A: Any finite power of 1 gives you 1.

Q: Q3/Evaluate four of the following integrais dx dx c. fd. sex C. sec²x e. f(3x + 2)5 dx

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Q: ator of a sphere, parameterized by spherical coordinates 0, and p. Let "north" point to the top

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Q: x + y + z = 1 2 + 2 + 2 = 2 3 + 13 + 23 = 3 = 7 5 + + 5 + 2 9 = ? =

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Q: ind f such that f'(x) = 2x² + 9x - 5 and f(0) = 9.

A: Given query is to find the function.

Q: 1. Represent the given numbers on number line. a. -2 b. 45 c. 10 d. -6 e. 23 f. O g. -9 h. -10 2.…

A: We have to represent the given numbers on number line.