1 If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperature be to maintain constant pressure? YSTORENO JARSO THa WENA CMA YTIVTOA

Q: B2/for the figure below find. (a) Total shaded Area : * Y 3 cm y3kx2 8 cm 7 cm 6 cm

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Q: The definite integral (-+ dx when evaluated is equal to- 11 Find the value of a." 12 ... -8 1. 3.

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Q: P(#) Question 4: When working with rational functions of the form f (x) = and the function does inde...

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Q: Live equation ar differential with constat coefficients dx -3x 3x = -9ゼー1 5. | dt? dt

A: We have to find the general solution of differential equation

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is (fg)...

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: 4) metabolic rate (kcal/h; tog scale) Biologists often investigate relationships between properties ...

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Q: x +1

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Q: Find the slope of the curve at the indicated point. find the equations of the tangent and normal lin...

A: Follow the procedure given below.

Q: 3. The fuel used by a car is defined by f(x)=3x=/80-6x+245. where x is the travelling speed in km/h....

A: The fuel used by the car is given by the function: f(x)=310x2-6x+245 where x is the speed of the car...

Q: 2. (D2 + 3D)y = -18x; y = 0, Dy 5 when x

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Q: Given the differential equation y" - 8y' + 16y = 5x? e4* (1) Find the combined differential operator...

A: First I have written the given differential equation into operator form and then find the auxiliary ...

Q: Find the endings for the following functions zX-5 3 @ lim - V-X-2 X -3 X +3 a lim 2- x* 1.

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Q: 5. у %3D sin?(3x? — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(si...

A: Topic = Derivative

Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f (t) = 2e-3! sin...

A: we use shifting property of laplace transform 

Q: 3. (D5- D-2D3 + 2D2 +D – 1)y = 0

A: This is a differential equation problem

Q: se at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative S(x, y) = In (x...

A: Given:- f(x, y) = ln(xy) , x=3r+5s , y=2r+9s  To find:- By using chain rule to evaluate the partial ...

Q: x² – 1 if x 5 | Given: f(x) = %3D 3

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Q: -x, x±1 f(x) = 0, x= 1

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Q: Determine if the given function is continuous on each of the given intervals. A. f(x) = 3x³ + 4x² - ...

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Q: 14 If dx and y when x = 1, find y(2). 3x- 40 A 27 27 26 27 27 B)

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -...

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

Q: Determine if the given functions f(x) are continuous or not at the given value of x. Show your compl...

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Q: 7. Consider the region above the r-axis and below y = e-² with x > 1, shown below. 4 Consider a wiza...

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Q: een Sketch the sold and a typical disk or washer. Graph Graph Description Graph Graph Description Gr...

A: Given:- y=ex , y=0 , x=-2 and x=2  To find:- Figure of solid rotating region bounded by given curve ...

Q: The Law of Cosines states that e? = a + b? – 2abcos 0, where a, b, c are the sides of a triangle and...

A: Given:    c2 = a2 + b2 - 2ab cos θ

Q: Consider f(x) = 1 – x for 0 1: an b) O an = c) O ao = 1/2, and for n > 1: a, = 4(1+ cos(nT/2))/n²n²...

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Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis. ...

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Q: By how much cloth price rose during the

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Q: af and dv se ди at (и, v) %3D (-3, -3). Use the Chain Rule to evaluate the partial derivatives- S(x,...

A: Given that: f(x, y, z)=x3+yz2x=u2+vy=u+v2z=4uv

Q: Find the antiderivative of 5$sinx ln 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin...

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Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

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Q: 1/ |x - 1 x2 + 4x - 5 2/ -3|x - 1|-6= 3 3/31x+ 리+6<15

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Q: The slope of curve is given as (2x + b +) and has a value of 2x3. 17 at x = 2. What is the value 16 ...

A: as per question  We have determine slope of curve   

Q: 55-68, evaluate the sine, cosine, and tar of the angle without using a calculator. 58. 675° 2n 64. 3

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Q: Find the volume of the solid generated by rotating the region bounded by y = sin°(x) and y = 0 betwe...

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Q: An isosceles triangle has an area of 22 cm2, and the angle between the two equal sides is 5?/6. Find...

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Q: dif ferential equations I. (3x-y- 4) dy =( x +y -4) dx when X-3 y-1

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: (sin x – 1) dx + (cos x + 1) dх %— 0. D.) - (1+) А.) —89 C.)- 1 В.) —91

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Q: Evaluate the integral. | cos (x)dx

A: The given integral is: I=∫cos-1x dx

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero betw...

A: We will use the intermediate value theorem. 

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 11y and y = x with y...

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Q: V(x) = In(sin(x) – cot(x))

A: Use the formula of derivative of composition of functions

Q: Solve the given linear differential equation with constant coefficients. Solve each and show complet...

A: Its A.E. is D4 – 4D3 + 7D2 – 4D + 6=0                            (D2+1)(D2-4D+6)=0 Now, D2+1=0      ...

Q: Given the differential equation y" + 6y' 5e2 cos(9x) Find the Differential Operator for the Left Sid...

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Q: For the function defined as follows, find all values of x and y such that both f, (x.y) = 0 and f, (...

A:   Differentiate partially with respect to x and y to get the solution

Q: What is the position function?

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Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = tan ...

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Q: x = 2. What is the value of y when x = -1? а. —3 b. 3 15 С. d. 3

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Q: Which of the following are rational functions? Select all that apply. Of(2) = = Of(t) : %3D x +7 Of(...

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Q: Find all angles ? between 0° and 180° satisfying the given equation. Round your answer to one decima...

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