Q5: A pressure (p) experienced by a diver under water is related to the diver's depth (d) by an equation of the form p = hd + 1 (h a constant). When (d = 0) meters, the pressure is (1) atmosphere. The pressure at (100) meters is about (10.94) atmosphere. Find the pressure at (50) meters. %3D %3D

Q: dy dx = 0. x2

A:

Q: 4. The equation f (t) = models the bacterial count, in thousands, for a sample collected from pond…

A: solve when f(t)> g(t)

Q: Q4: Solve the following DE by the method of variation of parameters: y" + 2y' + y = e-*Inx

A:

Q: 6.) If a toy rocket is launched vertically upward from ground level with an initial velocity of 148…

A:

Q: Q6. Find the general solution using variation of parameters of y" + 4y = 8tant

A: We have to find the general solution of the given differential equation. For this, we will consider…

Q: Do I plug in 240 feet into the "d"?

A: The equation for d is given by:Since the distance should not exceed 240 feet, plugging d = 240 in…

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

A:

Q: The population of Pacifica was 1,000,000 people in 2010. The growth in population is given by the…

A:

Q: The cost of producing pancake mix is C(x): = 0. 03x2 + 28x + 277. : Identify the parts of the cost…

A: We know that , Total cost of producing pancake = variable cost for production +fixed cost Given…

Q: 4. Since Beth was born, the population of her town has increased at a rate of 850 peopie per year.…

A: Let M =850 (increase in population rate)        (slope) At Beth’s 9K birthday population is 307,650…

Q: 4* = 32x+1 %3D The value of X in this equation is:

A: Consider the given equation. 4x=32x+1 Take log on both side of the equation. ln4x=ln32x+1

Q: 2. A particle moves along a straight line according to the equation x (t) = t3 - 6t² + 5, where is…

A: Equation is :  x(t) = t3 - 6t2 + 5 Where, x is distance (in meters) travelled by the particle in…

Q: The revenue R of skiing facilities in the united states from 2000 through 2008 can be modeled by…

A: Revenue ModelR=1548e0.0617tWhere t=0 corresponds to 2000

Q: An astronaut on the Moon throws a baseball upward with an initial velocity of 12 meters per second,…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: An object is launched at 24.5 meters per second (m/s) from a 117.6 -meter tall platform. The…

A: Consider the function for the height of the object is, s(t)=-4.9t2+24.5t+117.6 The time when the…

Q: The fraction of the senior class S, who has heard about the Cross Country Team state victory…

A:

Q: 9. At time t = 0, a diver jumps from a platform diving board that is 32 feet above the water. The…

A: Given, The position of diver is given by the equation  st = -16t2+16t+32 At t = 0 ;  st = 32 feet…

Q: General solution: (D² + 1)y = sec³x

A: D2+1y=sec3x To find: Solution of given differential equation.

Q: Q9. Solve (x3 + уз)dy + x2y dх %3D0

A:

Q: 3.) The revenue for a company producing widgets is given by y =- 25x widget. The cost for the…

A:

Q: Using the variation of parameters, find the particular solution of (D2 +1)y = secx

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: a. Find an equation for the surface area of the rectangular box. S(x, y) Preview dy when x = dx b.…

A:

Q: 1 The height, in metres, of a ball is given by the equation h = 16t – 4r, where t is time in…

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: a²y³ + x(9+ y²)/ = 0 %3D llowing the steps below: a) Show that the equation is NOT exact.

A: Checking the exactness of given differential equation

Q: 1. 4x dy – y dx = x²dy %3D

A:

Q: Solve y < 2 graphically.

A: To solve the inequality y<2 graphically, first plot the line y=2 by finding some points on the…

Q: The cost C(x), where x is the number of miles driven, of renting a car for a day is $30 plus $0.55…

A: Find: cost function C(x) Given: x is the number of miles driven         renting a car for a day is…

Q: 19. An empty 6-gal water jug weighs 0.5 lb. With 3 c of water Inside, the jug welghs 2 Ib. Which…

A:

Q: g. S dx x3-5

A: Consider the following integral: ∫x2x3-5dx Substitute x3-5=u→3x2dx=du→x2dx=13du in the above…

Q: Kennedy's Brickyard calculates that the cost, in dollars, C to produce x tons of paver bricks is…

A:

Q: Q2) Find The root of the Equation fca)- x².x -3 -0 On L1, 2] using (the fixed point method), Where…

A: NOTE : There are no roots possible in the interval [1,2] of the equation f(x) = x2-x-3 = 0. The only…

Q: Q2\Using the variation of parameter , find the solution of: y'+9y= sec3x

A: Particular solution by variation of parameter where W is wronskian of y1 and y2.

Q: g(1) = t² – 2, find g(-2) Solution: g(-2) =, g(-2) = g(-2) =

A: Here we have, g(t)=t2-2  ............................ (1) We have to find g(-2)=?

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: Find your answer below

Q: Solve []=[ x (t) = y(t) = - 3 1 -41 -5 [2] x(0) = - 2, y(0) = 23

A:

Q: Q3: Find the points on the surfac x^2+z^2-4=D0, closest to the origin.

A: Solution:-

Q: Question d²2 y dx² Find dx² if -9x² - 5y² Provide your answer below: = = -3.

A:

Q: y = 2x or x = How much work does it take to pump all or part of the liquid from a container? Engi-…

A: The given diagram: The given details: Equation of work done, W=Fd Where W is Work done, F is force…

Q: Kevin shot an arrow straight upward with a velocity of 80 meters per second from an altitude of 20…

A: Kevin shot an arrow straight upward with a velocity of 80 meters per second from an altitude of 20…

Q: .3 t +y3

A: Derivative is below

Q: 2. b = m = Equation:

A: Topic:- equation of line in geometry

Q: Q5 Suppose the equation y" – 4y' – 5y = f (x) has y = 3x' as a solution. (b) What is the general…

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: dx =+c 6. 2.

A: We can solve the given problem as follows:

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: Q13. Use Variation of Parameters to solve the DE e2x y" – 4y : - %3|

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.