Suppose that y varies directly with x and y = 3 when x = 9. What is y when x = 18? Be sure to simplify your answer. y = [ ?] Enter

Q: Use the fact that e4x = (ex)4 to find d/dx(e4x). Simplify the derivative as much as possible.

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Q: Find the indicated derivative and simplify. 4x -6 y' for y = 2 + 2x y' = D %3D

A: Given that, y=4x-6x2+2x We know that ddxuv=vdudx-udvdxv2.

Q: Find the R.M.S. value of xe* as x varies fromx =1 to x = 3.

A: The given data is: To find the R.M.S value of xex as x varies from x=1 to x=3

Q: Use the table to the right to find the given derivative. d. [xf(x)] dx x%3D5 d. dx xf(x)] x%35…

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Q: 2) If y is inversely proportional to the cube of x, find y when x =5, given y = 2 when x = 7. %3D

A: given y is inversely proportional to x3

Q: Suppose y is inversely proportional to the square of x. Sketch a graph of this relationship for x>…

A: According to given data y=kx                                                           ..1 Now,…

Q: Suppose that y varies directly with x and y = 3 when x = 9. What is y when x = 18? y = [ ? ] Enter…

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Q: y varies directly as the nth power of x can be modeled by the equation________ .

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Q: For x = 0.5, find the absolute and %3D relative error in the calculation

A: In this question, we find the approximate value and error by using the given expansion formula.

Q: Calculate the derivative of the following functions. y = (x2 + 2x + 7)8

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Q: Suppose that y varies directly with x, and y=15 when x=6 write a direct variation equation that…

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Q: (х + 1)e* 45. g(x) %3D х — 2

A: (45). g(x)=(x+1)exx-2

Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

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Q: If xy+y^3= 1, Find  the value of y" at the point where x=0

A: To find the value of y at x=0, substitute 0 for x in the equation xy+y3=1 and simplify.…

Q: 9(X)=e²=0

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Q: Find the RMS value of xex as x varies from x=1 to x=3

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Q: Suppose that y varies directly with x, and y=3 when x= 15. (a) Write a direct variation equation…

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Q: True or False If y varies directly with x, then y = k/x , where k is a constant.

A: Given: y varies directly with x.

Q: 4. f(t) = " 1-et

A: Given: ft=1-ett

Q: Use the table to the right to find the given derivative. 2 3 4 f(x) f'(x) 3 1 4 2 d xf(x)] 2 3 4 dx…

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Q: y varies directly with x....if x = 6, when y = 30/7, find y when x = 5

A: Given: y varies directly with x           y=307 when x=6. To find: y when x=5 Concept used:…

Q: - Jx*Vi+x*dx

A: Solve the integration by substitution method.

Q: Finally, we factor out the y' and divide, to conclude that the derivative is y'

A: Since it is already solved till part 4 of 5 Therefore, part 5 of 5…

Q: Suppose y varies directly as x. if y= 3 when x = y 5. 15, find x when

A: y varies directly as x. Therefore y = kx ( where k is constant) Given that y = 3 when x= 15.…

Q: Find the derivative. R= (s² + 7)ª R'=

A: I am attaching image so that you understand each and every step.

Q: Find the RMS value of xex as x varies from x =1 to x=3

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Q: Find the indicated derivative and simplify. 2x-9 2 x + 8x y' for y= y'=0

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Q: For the equation: X2 + Y2 = 650.25 Determine the numerical value of the second derivative evaluated…

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Q: Suppose that y varies directly with x, and y=8 when x=16 write a direct variation equation that…

A: The initial statement is y∝xTo convert to an equation multiply by k constant of variation.y=kx

Q: what is the range of h(x,y)=ln(x+y-5)

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Q: For what values of x is the derivative of the function 2x - 3x equal to 14?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate the following and determine the second derivative Find y' if x2+ 4x + y = 0

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Q: Suppose that y varies directly as x. When x is 9, y is 4. Solve for y when x is 72. (Enter an exact…

A: y varies directly as x. So y=kx

Q: What is the value of xy?

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Q: e when x ≥ 0.)

A: Given as,  Xi follow exponential with mean λ.

Q: 4x2 – 6x h(x) = 2e³x

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Q: If z = x2 - xy + 2y2 and (x, y) changes from (2, -1) to (2.03, -0.95), compare the values of Az and…

A: The function z = x2 – xy + 2y2 and (x, y) changes from (2, -1) to (2.03, -0.95), we have to compare…

Q: Determine the derivative of y = 24*. A. 24x+2 In 2 C. 34x+2 In 2 B. 63r+2 In 2 D. 44*+2 In 2

A: So in this we have to do simple derivative of given so I'm providing hand written solution for this

Q: Y varies directly as x". If y=3 when x = 24, find y when x = 10.

A: "y varies directly as x" so thaty∝x so y=kxif y=3 Then x=24=3=k.24=k=18

Q: What is the approximate value of x in the diagram below

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Q: Suppose that z is inversely proportional to y, and that z = 12 when y =16. Write an equation that…

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Q: Given f(x) = 3 cos² (x), write the equation of the line tangent to y f (x) when 3

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Q: X √x dx 5-х

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Q: Find the RMS value of xex as X varies from X=1 to X=3

A: We can find the RMS value as below using the method as below

Q: Calculate the derivative indicated.

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Q: Suppose that y varies directly with x, and y=15 when x=24 write a direct variation equation that…

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Q: y varies directly as the nth power of x can be modeled by the equation

A: Giveny varies directly as the nth power of x can be modeled by the equation

Q: 6. Suppose y varies directly as x, and y= 16 when x = 8. Find y when x = 16.

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