y varies directly can be modeled by the equation where k is called the as x

Q: b. f(x)dx

A:

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: et f(x) = 3 Using Equation (1), find the slope and equation of the ta E x = 2.

A:

Q: please solve it and show yor work

A: As given y varies inversely as x this implies

Q: Find two functions defined implicitly by the given equation. 1. (y-1) = 4(r + 2) 2. (y- r)-y+x = 0…

A: Since, you have posted multiple questions but according to guidelines we will solve first question…

Q: "Y varies directly as x". If y = 2 when x = 10, find x when y 7.

A: We are given that y varies directly as x

Q: Consider the line with equation y = 2x + 2. This cuts the x-axis when x is equal to what value? Give…

A:

Q: assume the y varies with x. if y= -4.8 when x= -1.6, what is the constant of variation?

A:

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

A:

Q: If y varies directly as x and y = 0.5 when x = 6, find the constant of variation k and then…

A: y ∝ xy = kxgiven that;x=6, y=0.5y=kx0.5=6kk=0.56k=112 =0.0833when x=10,y=1012=56=0.833

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

A:

Q: 2x+1 Find the equation of the curve whose slope at (2,3) is given by 2y-3

A: Given that: Slope at (2, 3) is given by 2x+12y-3

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

A:

Q: Find the equation y = f(x) passing through the points (-11-21), (1,15), (2,12) and (3, 3)? Find also…

A: We will use the Lagrange interpolation method. We have: x x0=-1 x1=1 x2=2 x3=3 y y0=-21 y1=15…

Q: Find the equation of the curve that passes through (2,3) if its slope is given by the following…

A: dy/dx = 2x -4 integrating with respect to x; y (x) = 2x2/2 - 4x + C y (x) = x2 -4x + C

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: Find the equation of the line tangent to the following graph where x = 4

A: We have to find the equation of the tangent.

Q: x²y + xy² = 6 . %3D

A: Consider the equation x2y+xy2=6 To find the derivative y', use the implicit differentiation with the…

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: The slope of a curve at any point (x,y) is given by dy/dx= 8 - x.  If (2,14) lies on the curve, find…

A: find the equation of the curve.

Q: Write the equation of the line tangent to the graph of the following equation at x = 0. y = In (x5 +…

A:

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: 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: Write the equation of the line that is tangent to the function y = xyx and is parallel to y = 2x + 1…

A: Given function,     y = x x4 Parallel line to y=2x+1Genral line is  y = mx+cOn comparing both the…

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: QUESTION 2 Write down the equation of line with slope -1 and y-intercept 4. BIU X2 / 田 24=▼= ▼冊 x? S

A: Given ,slope (m)=-1  and y-intercept = 4 The general equation of line is expressed as y=mx+c

Q: Use the quotient rule to derive the given equation

A: Given,           ddxcscx=-cscxcotx

Q: What do we say if the truncation error if it is proportional to h?

A:

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

A:

Q: 2) y=- x+1 “F业 at -1,- 2) Ay

A: We have to find the equation of tangent line

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: Suppose that y varies directly with x, and y3D12 when x=15. (a) Write a direct variation equation…

A:

Q: Find the constant of variation k. y varies directly as x and when, x = 9, y = 18

A:

Q: Find the equation of the curve for which = 6 – 9x and which passes through the points (0, -1) and…

A: d2xdy2=6-9xor,∫(d2xdy2)dx=∫(6-9x)dxor,dxdy=6x-92x2+c1or,∫dxdydx=∫(6x-92x2+c1)dxor,y=3x2-32x3+c1x+c2.…

Q: The path of flight (trajectory) of a football thrown by a quarterback is described by the following…

A: We are given the function y(x)=-0.002x2+0.7x+7  where y = vertical position of football relative to…

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: equation. (Enter your swers as c sec(x) csc(x) = 2 csc(x)

A:

Q: x2 – 1 Find the equation of the line tangent to y = at the point (2, 1). Write your answer in slope…

A:

Q: Write the equation of the line tangent to the graph of y² = − ly + 1x + 4 at (-2,-2). The equation…

A: We have to find the equation of the tangent.

Q: If z is directly proportional to y and z = 48 when y = 6, %3D ty a. find an equation relating y and…

A: Given query is to find the relation between z and y.

Q: If y varies inversely as x, and y=4 when x=12, find the constant of variation k, and then determine…

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Bonus: Find the equation of the line tangent to f (x) = 3x – e-5x when x = 0.

A: Given: fx=3x-e-5x To Find: Equation of the line tangent to fx, when x=0. Concept: Equation of Line…

Q: | If (x) – g(x)[dx represents. Explain what

A:

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

A:

Q: Consider the following equation. x² + xy +y° = 1 Find the value of y at the point where X = 1.

A:

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.

A: