Assume that y varies directly with w and inversely as x. If y=4 when x=12 and w=8​, find y when x=16 and w=4.

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: The table below gives the stopping distance y (in 100 meters) for a train traveling on a track at…

A: Given data: The given table is, speed, x(mi/h) 50 55 60 65 70 75 80 85 90 Distance,y (100 m) 20…

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

A: A detailed solution is given below

Q: please solve it and show yor work

A: As given y varies inversely as x this implies

Q: Find the given higher-order derivative.

A: The given derivative of the function is  To find fourth order derivative, differentiate the given…

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: Find the derivative of f(w)=w78+2w.

A: dxndx= nxn-1---- Formula f(w) = w78 + 2w f'(w) = d(w78+2w)dw = 78 w77 + 2

Q: find the constant of variation for each of the stated conditions. y varies directly as the square of…

A:

Q: Find the inverse of the linear function f(x) = mx + b, m + 0

A: Given: y=f(x)=mx+b Given function is equivalent to y=mx+b Now by using y=fx Now we interchange x and…

Q: For values x=[ 1:1:25] , plot y1=2 x +1 and y2= x+

A: This is a question of plotting points in an interval, it is a question from real-valued function.

Q: Given the function y=x5+2x3+3x. Find the derivative of the inverse function at x=1.

A: Here, f(x) = y=x5+2x3+3x and a = f(x)|x = 1 = 1 + 2 + 3 = 6

Q: If y varies directly with x and x = 23 when y =16.1, find y when x =9.

A: We have to find y

Q: Given f(x)=2csc(x) write the equation of the line tangent to y=f(x) when x=5π/3

A:

Q: If y is inversely proportional to x and x is inversely proportional to z, then y is inversely…

A: Answer:False.

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: f(x) = 7e(x²+1) .3 %3D

A:

Q: The numerical value of xe dr is

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the derivative of the following function. f(w) 6w +5w+8w 5w? + 8w r(w) =D

A: Given fl(w)=?

Q: find the constant of variation for each of the stated conditions. y varies directly as x and…

A:

Q: Find the derivative of each function. 7 b(m) = 2m* + 2 12m

A: Given query is to find the derivative of the function.

Q: Suppose that y varies directly with x, and y=9 when x=18. Find y when x=10

A: Suppose that y varies directly with x, and y=9 when x=18. Find y when x=10

Q: Use C to represent the arbitrary constant. y =

A:

Q: If f(y) = log, (sec(y)), find f'(y). Use exact values. =

A: If F = (fgx then F' =fgx' =f'(g(x)).g'(x).

Q: find the indicated derivatives

A: Given,r=s3-2s2+3 To find: drds Solution: r=s3-2s2+3 Differentiating both sides w.r.t s we get:…

Q: y varies inversely with x. When x = 6, then y = 5. Find y when x = 1.

A: y varies inversely with x, so we can write y=k/x. Given When x = 6, then y = 5.Using this we get k=…

Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 (a) f'(0) (b) f'(1) (c)…

A: Given, The graph of function y = f(x).

Q: - Jx*Vi+x*dx

A: Solve the integration by substitution method.

Q: y is inversely proportional to the square root of (x + 1). When x = 8, y = 2. %3D Find y when x =…

A: y is inversely proportional to the square root of (x+1). Also When x=8, y=2. To find y when x=99.

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 constant of variation for each of the stated conditions. r varies inversely as the square…

A: To find the variation equation for a given problem following things are to be kept in mind. For a…

Q: Suppose that y varies directly with x and inversley with Z, and y=28 when x=32 and z=8. Write the…

A: Directly Proportional : If a function t is directly varies (proportional) to another function s then…

Q: Find the derivative of the equation: h(w)=(5/2)(w2+8w+1)(3/2)(2w+8

A:

Q: xVx? +1 y = (x +1)

A:

Q: Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = 1.

A: Given: y varies directly as x and y=9 when x=32. To find y when x=1. Solution: Given y varies…

Q: e when x ≥ 0.)

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

Q: If y varies directly with x and y =5 when x= 3, what is y when x= 9

A:

Q: The numerical value of xe*dr is

A:

Q: Suppose that y varies directly with x, and y = 20 when x = 8. (a) Write a direct variation equation…

A: Solve the equation

Q: Let f(y)=√y and g(y)=y+1 Find? f(g(y))?

A: Given:  f(y)=y g(y)=y+1     To deteremine:  f(g(y))

Q: suppose that x varies directly with z and z=12 when x=20 find z when x=40

A: Solution: Given that x varies directly with z .

Q: Find the derivative. y = 12 Ο Α. 11 В. О О С. 1 O D. 12

A:

Q: Differentiate y = 52" with respect to x.

A: y=52x

Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3

A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

Q: If f (x) : 2, what is the equation of the line tangent to f(x) at x = –1? O y+24x + 36 = 0 O y – 24x…

A: Given query is to find the equation of the tangent.

Q: The derivative of a constant times a function is 0. OTrue O False

A:

Q: Find the derivative of the following function. f(w) = 8w° + 5w* + 4w %3D f(w) =D

A: We can find the derivative as below

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

A:

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

A:

Q: Write the equation of the line tangent to f(x)=\x at x=4 and from that line approximate V3.98 a)…

A:

Q: find the constant of variation for each of the stated conditions. y varies directly as x, and y = 60…

A: To Determine:  find the constant of variation for each of the stated conditions. y varies directly…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.