modeled by the function F given by F (t) = 5 + - sin(), where F(t) is measured in 4 gallons per day and t is the number of days since the start of the week on Sunday. How many gallons of water leak from the dam Tuesday through Thursday, days 2 through 4 ? 9.565 B) 10.010 10.841 12.117

Q: Solve for the differential equation, show detailed solution. xy' = y e^(x/y) - x

A:

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and p...

A: To find a parabola with equation.

Q: how

A: We will find the values of the term using derivatives. 

Q: DIFFERENTIAL EQUATIONS Solve the following problems showing every detail of your solution.

A:

Q: 1/2 sin?y cosydy

A: Integration for sine and cos many power

Q: Differentiate y = sin(3x + 4y) cos(3x+4y) 1+ 4 cos(3x+4y) з cos(3x+4y) 1+4 cos(3x+4y) cos(3x+4y) a. ...

A: y=sin3x+4y

Q: Use the indicated x-values on the graph of y = f(x) to find the following. с d e f Find intervals wh...

A:

Q: Challenge Problem I a function / is inereasing on the intervals 3,31 and 11, 19 and decreasing on th...

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Q: Evaluate (go f)'(8) - given that: f (6) = 7. f'(6) f (7) = 8. f'(7) 6. f'(8) 6 f (8) 8, g'(6) 7 g(6)...

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Q: dy for 4xy- 4x+2y - 86, with the conditions dx Assume x and y are functions of t. Evaluate = - 6, x ...

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Q: 4. dy/dx = sec ²xsec³y

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Q: х — 4 4. у х — 3

A: Given: - The function is, y=x-4x-3 To find: - Sketch a graph of the function. Label any intercepts, ...

Q: Determine the average rate of change of the function on the given interval. 2) f(x) = 3x2 + 3 on [3,...

A: Given query is to find Average rate of change for the given interval.

Q: Let g be a differentiable function such that g (4) = 0.325 and g' (x) = e- (cos()). What is the valu...

A: Solution: g(4)=0.325   (Given) g'(x)=1xe-xcosx100

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A:

Q: Ax) =-7 +2r-3x Identify the End-Behavior of this function Justify your answer.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Given cost and price (demand) functions C(q) = 100q + 40,800 and p(g) = - 1.8q + 870, what is the ma...

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Q: (x2 - 1) dy = ((1 + x)? - 2y) dx %3!

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find equations of the tangent line and normal line to the given curve at the specified point. (1. ) ...

A:

Q: Calculate the mass of butane needed to produce 62.8 g of carbon dioxide. Express your answer to thre...

A: Given:    62.8 g of carbon dioxide ( Co2 ) 

Q: A solid wooden object tumed on a lathe has a length of 50 cm and diameters (measured in cm) shown in...

A:

Q: How do I wvaluate f(x) = −2x2 + 4x for f(a+h)?

A: Topic = Functions

Q: Find the linear approximation of the function  f(x, y, z) =      sqrt(x2 + y2 + z2   at (4, 8, 8) ...

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Q: 10. The function's value will always be greater than or equal to the local linear approximation of a...

A: For the given statement

Q: Consider the following. y = x3 - 3x2 + 8x + 1 Find the relative maxima, relative minima, and points ...

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Q: 1. lim g(x) = X--1- ; lim g(x) ; lim g(x) %3D r-1+ X--1 3 2. g(-1) = 2- 1. lim g(x) = ; lim g(x) = X...

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Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у) %3...

A: Solution ) given f(x) = y = 2x3 + 3x2 - 12x + 1 f'(x) = 2 × 3 × x3 - 1 + 3 × 2 × x2 - 1 - 12 + 0 For...

Q: 20 15- 10- 5- 10 15 20 The rate at which people arrive at a theater box office is modeled by the fun...

A: In order to find the number of people entered in the time 0 < t < 20, we need to obtain the ar...

Q: Solve log r = 1 – log(x – 3). If there is more than one solution, write the numbers in ascending ord...

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Q: хуdx — (2x? + у?)dy — 0

A: Follow the procedure given below.

Q: 1/5 Find the total area of the region between the x-axis and the graph of y = x' - X, - 1sxs8. The t...

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Q: Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or stric...

A: The given sequence is: an=n12n+2

Q: dy 1 dx sec?y

A:

Q: Evaluate / y ds, C: x = t, y = t, - 2 <t < 1

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: 236 A 1-m spring requires 10 J to stretch the spring to 1.1 m. How much work would it take to stretc...

A: Given natural length of spring=1 mWork done to stretch it to 1.1 m is 10 JSo, W1=10 J, L0=1 m and L1...

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x² ...

A:

Q: A cup of coffee is poured, and the temperature is measured t be 120 degrees Fahrenheit. The temperat...

A: Given initial temperature of the coffee cup is 120 F

Q: 4. f(x) = x² + 4x 5 %3D -

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as ...

Q: Solve over (-o,00) 2. 3tanx = V3

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Q: 222 Compute the work done for a force F=12/x N from x=1 to x=2 m.

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Q: Differentiate log(x² + 1)² 4 log10 e а. x2+1 4x log10 e b. x2+1 a.

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

Q: 4. Find the derivative of the function using the definition of derivative. State the domain of the f...

A: f'(x) = limh→0 f(x+h)-f(x)h. The domain of the function is the set of all possible input values for ...

Q: Find the derivative of the function. 5. x + 2 y = e y' =

A: The given function,     y=ex7+25

Q: 3. Suppose we are told 1 lim Determine the value of the number c.

A: Follow the procedure given below.

Q: Jse the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 20,000 -225p E...

A:

Q: f'(t) = tf(t). HINT: Write f'(t) – tf(t) = 0 and multiply the equation by e-2/12.

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Q: 2. (x- ブメッテルーョ fx 3.

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Q: Find the centroid of the region bounded by the given curves. y = x2,      x = y2

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Q: 3 2- 1 1 2 3 4 -1- -2- Graph of f graph of the function f is shown abo LO

A: We have to choose the correct answer from the given options according to the given information

Q: Find the exact length of the curve.   36y2 = (x2 − 4)3,    5 ≤ x ≤ 6,    y ≥ 0

A: NOTE: Refresh your page if you can't see any equations. . but here