Dur heroine is trapped in a rectangular room that is 10 feet by 16 feet, with a ceiling that is 9 eet above the floor. The room is filling with water at a rate of 60 cubic feet per minute. Vhen the water reaches a depth of 5.5 feet, how fast is the water rising? (V = LWH)

Q: Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, J...

A: Here we can verify the answer as below.

Q: dy (13) 2+ 3y = 3x²e¬3* dx

A:

Q: Y= Gas"(Sin-(tan

A: Given that: y=cos-1(sin-1(tan-1(csc-1x)))

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A:

Q: 1.11 The solutions of the differential equation dy a - x dx B+ yx + dx² give most of the important d...

A: Solution of  given question is written in below steps.

Q: Which of the following are reciprocal functions? tan x and cos x sin x and csc x sin x and cos x co...

A:

Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt  

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A:  

Q: ditferential equatios 1. ( D+ GD+ 13)y 26 + GO cOS X

A:

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: The given integral is: I=∫x3x2+36dx

Q: sinxtanx/cosx+1

A:

Q: Evaluate the integral. (Use C for the constant of integration.)

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Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A:

Q: Find the area of the shaded region. y=2 y= 2sin(70x) -2. O 4+4 4 + 8

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Q: Given the equation below. Give what is being asked. sec23xdx a In(1+4tan3x) + C 1+ 4tan3x Find: a + ...

A:

Q: Perform the indicated operations and write the result in standard form. - 8 + V - 20 24 ... - 8 + V ...

A:

Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form 

Q: Find the area of the sector of the circle. r= 28.35 ft, 0=24.401° O A. 345.28 ft2 O B. 171.14 f? O C...

A: We can find the area of the sector as below.

Q: x-2 where is f not differentiable? If f(x) = x-3

A: f(x)=x2-2x-3   Vertical asymptote of the above function is x=3

Q: State form usg an appiopuate suusutuuo. Example 7 Example 8 Find the integral Find the integral Vī –...

A:

Q: Choose the most appropriate answer: Evaluate the integral : S dx 7x6 x7+1 O In(x7+1) + C O In(x"+ 1)...

A: Let's find. 

Q: Function g is graphed below. Select all correct statements about g at x = 3 a. Both lim g(x) and lim...

A:

Q: What is the amplitude of y= 4 sin 3x? 1 4

A: We can find the amplitude as below

Q: Find all values x= a where the function is discontinuous. For each value of x, give the limit of the...

A:

Q: A cylinder is inscribed in a right circular cone of height 12 cm and base radius of 4 cm. Find the l...

A:

Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

A:

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

A: Given :    

Q: At which of the following could a function fail to be differentiable? There may be more than one cor...

A: We have to discuss about where function is not differentiable.

Q: find an equation of the curve that satisfies (dy)/(dx)=45 yx^14 and whose y-intercept is 2 y(x) =

A:

Q: Let y – 8y + x² = 8. Use implicit differentiation to find the derivative. Find the tangent line at (...

A:

Q: 10 dx a > 0 (a2 + x2)3/2'

A: NOTE: Refresh your page if you can't see any equations. . ...........(1) substitute  ............pu...

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x+1 x3 a. Find lim f(x) or state...

A: From graphlimx→1-f(x) =0limx→1+f(x) =0Thus limx→1f(x) =0

Q: P5 # 1: Sketch the graph of the Following punctions. Identipy if it is ONe - to- ore of on to. O fcx...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other ...

Q: 11) A function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point...

A:

Q: 4. 3y(x? - 1)dx + (x³ + 8y - 3x) dy = 0

A:

Q: 3. dy = ( x - 3y)dx

A: Let's find. 

Q: 2,1 1,25 2,25 3,78

A: Explanation of the solution is given below...

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: According to question,Given differential equation,1 + cos x y' = sin x sin x + sin x cos x - y

Q: ify that the function satisfies the conclusion of the Mean Value Thereon for ivative on the given in...

A:

Q: (c) S /2x – x² dx

A:

Q: В. Find all vertical and horizontal asymptotes. 2x2+2x+1 15. f (x) 5313 5

A:

Q: An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has a side length of...

A:

Q: This part is required to be completed on a piece of graph paper: • Very neatly and clearly graph the...

A: We are asked to  draw the graph.

Q: For the piecewise-defined function f whose graph is shown, find the following. (If an answer does no...

A:

Q: 2x+4

A: Topic = Integration

Q: The figure shows an angle 0 in standard position with its terminal side intersecting the unit circle...

A: As x =r cosθ and y=r sin(θ)Point (x,y) lies on the circle and 'r' is the radius of the circle.

Q: 4 y = (x +3) Lax-1)

A:   Since you have posted multiple question as per guidelines we can solve only one question at a time...

Q: Calculate the work W against gravity required to build a right circular cone of height 3 m and base ...

A: Here, height =h= 3m         base radius =r=0.9m        density = 600kg/m3

Q: S Vxi + 2x² + x dx

A:

Q: Find the solution to dy/dt = 6y Satisfying y(1)=7 y = ?

A: Firstly , separate the variables and then integrate and solve. ∫1ydy = ln(y) +C ∫tn dt =tn+1n+!+C