The gas equation for one mole of oxygen related its pressure P (in atmospheres), its temperature, T (in Kelvin, K) and its volume V (in cubic decimeters, dm³) is given below 25 V 5 Suppose at time t, the volume is 5 dm³, and the pressure is 3 atm. (a) Find the temperature T at this moment. Enter your answer in the blank below. (b) Find the rate of change of the temperature if the pressure is increasing at a rate of 3 0.1 atm/min and the volume is decreasing at a rate of 0.1 dm³/min. (c) Is the temperature increasing or decreasing in time? Include solutions to all sections of this question in your Crowdmark submission. T= 1 4V² 2 P + 10PV

Q: A rectangle R with sides a and b is divided into two parts R₁ and R₂ by an arc of a parabola that…

A: Equation of the parabola? Since it's an upward parabola passing through the origin, so its general…

Q: Consider the following function. h(x) = x-1¹/3(x-8) Find the derivative of the function. h'(x) = X =…

A: we need to find out the derivative h'(x).

Q: Find the general solution of each of the following homogeneous equations. Use the method of…

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

Q: The measure of an angle in standard position is given. Find two positive angles and two negative…

A: NOTE: Refresh your page if you can't see any equations. . the given angle is  to find the first…

Q: Verify that U(x,y) = f(x)g(y) is a solution of the pde UUxy = UxUy for any differentiable functions…

A: Given U(x,y)=f(x)g(y) Now, Ux=f'(x)g(y) and Uy=f(x)g'(y) and Uxy=f'(x)g'(y)

Q: Taylor is building a rectangular garden. Due to the space available, the area of the garden, A (in…

A:

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: We know P(x)=R(x)-C(x), where P(x),R(x),C(x) are profit, revenue, cost functions respectively.

Q: y" + 2y' + y = e* lnx (where x > 0)

A:

Q: 1 15 +7 Σ η = 1 ? ✓ O converges O diverges 1 + 7 W

A: To check the convergence and divergence of the series

Q: 1) Find the average value of the function over the given interval( For f(x) = 16x - 3x² from [-2, 8]

A:

Q: Find a power series for the function, centered at c. 5 f(x) 5-x C = -4

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" — y' = et cos t, y(0) = 0,…

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. n +5n

A:

Q: Consider the double integral L = 1+2²³ + y² dy dz. (a) Sketch the region of integration for the…

A: Let's sketch the graph and evaluate double integral.

Q: Which of the following set(s) of ordered pairs represents the solution to the system of equations…

A:

Q: 4s + 1 s³ - 3s² + 3s 1 a. Find the partial fraction decomposition of F(s): Consider the function…

A:

Q: B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular.

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

Q: State the quadrant(s) in which an angle in standard position with measure 8 lies under the given…

A:

Q: 12. Find the volume of the solid formed by revolving the region bounded by the graphs of y=√√√x-2, y…

A:

Q: 13. The function k is given by k(x) = (2x+1)(4x-7). Find the x-coordinate(s) of all critical…

A: Critical points are points where the derivative of the function is 0 or undefined. To find the…

Q: State the quadrant(s) in which an angle in standard position with measure lies under the given…

A:

Q: after both sides are intergrated are u squaring it? what is the symbol above the y and x

A:

Q: Find the inverse Laplace transform f(t) of the function_F(s) = ln s² +9 s² + 16

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an…

A:

Q: Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as…

A: Given: fx=x4+7x3-6x2+84x-216 To find the zeros of the f(x) We can see that f(2)=0, it means 2 is a…

Q: + y = 2. What is y" at the point (1, 1)? y ² Suppose that x +

A:

Q: 4. Solve the initial value problem by separation of variables: y' = y(0) = -1 √1+12

A:

Q: Find the x-value where the maximum value of y = sin(x) - 4x² occurs using Newton's Method. Round…

A:

Q: Find the indefinite integral. wln(w - 2)dw

A: ∫ wlnw-2dw

Q: 15. lim h→0 3 3 ³ (²+1) ² - 5 (1) ² 51 +h 7 7 h

A:

Q: 11 The sides of a cube are found to be 1 meter in length with a possible error of no more than 2 cm.…

A:

Q: You need to provide a clear and detailed solution for the following Questions: Work Problem 2 […

A:

Q: Find the derivative of the function y=x^2e^-3x

A:

Q: Find the directional derivative Du f(x, y) of the function f(x, y) = 6xy² + 3x²2 at the point (-1,2)…

A: Let's find directional derivative at given point and direction.

Q: Consider the initial-value problem y(1) = −2. y'-7y=2x, Use Euler's method to obtain an…

A: We need to choose correct option.

Q: A system of linear equations in the variables x, y, and z is represented by the following augmented…

A: The augmented matrix of the linear system of equation, 1016|-1401-5|-13000|0       We have to find…

Q: In 4-5, determine the intervals in which the function is increasing, decreasing, or constant. 4. -2…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. Consider the function f that satisfies the following: • f is continuous everywhere except at x =…

A:

Q: 4. Determine if the function is discontinuous. What type of discontinuity is it? (3-x if x 2

A:

Q: 2. The graph of f is shown in the figure. The shaded region, A has an area of 7.5, and f(x) dx =…

A: As per our guidelines we can answer only 1 question and only 3 subparts of the given question so…

Q: plane is flying at a constant altitude of 1 mile and a speed of 250 mph toward an observer on the…

A: let vertical distance = y horizontal distance = x hypotaneous distance = s according to pythagorous…

Q: Solve the initial value problem as a linear first-order differential equation: du dr = 9.8.196u,…

A: Given query is to solve the differential equation.

Q: -, tanp Given cosa == == 12 and a and B are not in Quadrant II. Evaluate the following.

A: given α and β in 2 quadrant in 2 quadrant sinβis positive and cosβ is negative   cos(180-β)=-cosβ…

Q: Below is the graph of the derivative of which function? The vertical asymptote of the derivative…

A:

Q: the cost function for the given marginal cost functio 18.) C'(x)=x²-4x+2; 3 units cost $25 0.02 100

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Show that the directional derivative of f(x, y, z) = z²x + y3 at (6, 9, 8) in the direction. √5 To…

A:

Q: Match the graph Y 4 2 0 02 4 6 8 10 with the function. 8

A: In this question we have to match the given graph.

Q: Suppose that for a particular product, the number of units x produced per month depends on the…

A: We can solve the given problem by using the concept of derivatives.

Q: Fine powdered icing sugar pours down from a dispensing chute at a constant rate of 3 m^3/min. The…

A:

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞o…

A: The given series is:∑n=1∞ 17n