1. Rewrite the equation into function form. (Solve for y) 3x +y = 10

Q: Which equation represents z directly proportional to the square root of x and inversely proportional…

A: option b is correct.

Q: After a certain drug is injected into a patient, the concentration C of the drug in the bloodstream…

A: We need to find eventual concentration of the drug.

Q: Ex. (12) Solve [D2+3D -4]y=2sin (5x) Sals-

A:

Q: Substitute your result from the previous step into your result from the first step to find an…

A: From the first step, A=xy ......1 From the third step, y=4x+109x-3

Q: 3. Let b vary directly as a. If b = 80 when a = 20, what is the equation of variation?

A:

Q: Solve the equation −x2e−x + 2xe−x = 0 algebraically. Round your result to three decimal places, if…

A:

Q: (B) [11]13'[xlí3= [7]13 : (HINT: first try to bring the equation to the form [x]j3 = [a]13 ).

A:

Q: y = (201³ - 6) Find d²y da 3 9

A:

Q: y=Cie3x + C2e¯ 2x + x

A:

Q: Determine the r- and y-intercepts for h(x) = 6x – 42. Solve -7x – 8y = 1 for y.

A: Given: (a) h(x)=6x-42(b) -7x-8y=1

Q: The zeros of a function are where is passes through the x axis. To find zeros, set the equation to 0…

A: The given equation is passes through the points: (-3, 0)   and   (0, -1) Therefore the equation is…

Q: Solve the following equation y" + 2/ + y = * using the method of variation of parameters.

A:

Q: Which of the following equations could be used to find the value of x?

A: Clearly we can use sine rule to calculate the value of x.

Q: Solve the following equation. Vx + 2 = x

A: Solve for x over the real numbers sqrt(x+2)=x  Raise both sides to the power of two  x+2=x^2…

Q: Find the values of x that are solutions to the equation h(x) = k(x).

A: Given graph of h(x) and g(x)

Q: a) Solve y" thy=2e?+xsin2x

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 1. Solve the equation. f'(x) = 6f (x) and f (2) = 9 А. f(x) = 6e9x+2 %3D В. f(x) = 9e2x+6 %3D С.…

A: We need to solve the equation f'(x)=6f(x) and f(2)=9

Q: A new machine costs $26,000 and has a useful life of 6 years with a scrap value of $2,000. Using…

A:

Q: 2. The number of cells in a culture at time t, in hours, is modeled by the equation: N(t) = 500ez0,…

A: Given thatThe equation of number of cells in a culture at time t , in hoursN(t)=500et20(b)  rate of…

Q: Eliminate the arbitrary constant on the given equation: y = Ce-2 + De4

A:

Q: Solve and draw l Sketch the graph of the pollowing equations: x² + ag? + z - &x t 124 22 + 35 :0 1.…

A: We know that a function in three variables x, y and z is written as z=fx, y or fx, y, z=0, where x,…

Q: snip

A: Given: Height of the rock as Hx=20-13x2 after x second, To determine: The height of the rock when…

Q: Solve the equation. f' (x) = 6f (x) & ƒ (2) = 9. f (x) = e6x+9 O f (x) = 9e6x– 12 O f (x) = 9e²a+6 O…

A:

Q: Suppose you are climbing a hill whose shape is given by the equation below, where x, y, and z are…

A:

Q: (x+1)3 solve for y'. %3D x2

A:

Q: f(x) (3x+1)(x-1) %D (x+2)(2x-1)

A:

Q: Q/ Solve the DEs: 1-1+y xix+(1+x>)¢hy = 0

A: Given 1-1+y2dx+1+x2dy=0

Q: Eliminate the arbitrary constants in the following equations. Express your answer in its simplest…

A: To eliminate the arbitrary constant c1 and c2 from y=ex+c1e2x+c2e-3x, we need to differentiate the…

Q: Eliminate the arbitrary constant on the given equation: y = C1e-2x + Cze2x

A:

Q: 1. Rewrite the equation into function form. (Solve for y) 3x +y 10

A:

Q: х? %3D аху + by

A:

Q: Medical research has found that between heartbeats the pressure in the aorta of a normal adult is a…

A:

Q: solve the equation below using variation of parameters y" + y' = x 1 Add file

A: the given differential equation is y" + y' = x

Q: 2 a) Solve x y'= (2+ yx)·

A:

Q: 6. The speed of a tidal wave, s, in hundreds of miles per hour, can be modeled by the equation - 4t…

A:

Q: what is the privet Solution to the equation (0'+0)y(x)=Xsinc) (X)

A: The given differential equation is D3+Dy(x)=xsin x The particular integral of vsin x , where v is…

Q: The height (h), in feet, of a balloon is calculated by using the equation h = 3t+2 where t is time,…

A: The height h in feet of the balloon is given as-  h=3t+2 -(1) , t is time in seconds. We have to…

Q: dy 1. Solve: (1 + x)y = ry? dr.

A: Given differential equation is xdydx-(1+x)y=xy2dydx-1+xxy=y21y2dydx-1+xx1y=1…

Q: 1 On Saturday, rain fell at a rate of 1.5 inches per hour. Write an equation to show the…

A: We differentiate sunday rain r with respect hour h, So we get

Q: What type of equation is this? h(x) = -2(x+1)^2 +3

A:

Q: 5. The height, h(t), in feet, of an object shot from a cannon with initial velocity of 20 feet per…

A:

Q: The minimum hourly wage, y (i equation, x represents the num

A: Given that: Minimum hourly wage:           y=0.12x+1.67

Q: Q1:- Solve the following DEs:- dy + 2x³y = y³x3 dx

A:

Q: Solve the simultaneous equations y = 1 + 3x - x2 and y = 3 – x graphically. Plot your graphs for…

A:

Q: y = x? + C1e2x + C2e3x; based on the given, eliminated the arbitrary constant present in the…

A:

Q: 4. A piece of paper has a thickness of 0.15 millimeters. Write and equation to describe the…

A:

Q: How do you find the roots of the equation f(x)=e-x-(x+4)/5 without a graph?

A: Note that intersection of line and exponential curve is a single point which is root of those two.…

Q: (y–1)² ce-y. (z-3)5

A:

Q: . Eliminate the arbitrary constant on the given equation: y = x + Cje + C2e¯2x

A:

Q: Describe verbally how to solve y=mx+c. What assumptions have you made about the value?

A: To find- Describe verbally how to solve y = mx + c. What assumptions have you made about the value?

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.