The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of ar ideal gas are related by the equation PV = 8.31T. Find the rate at which the volume is changing when the temperature is 295 K and increasing at a rate of 0.1 K/s and the pressure is 21 and increasing at a rate of 0.01 kPa/s. Calculator L/s

Q: The rate at which a battery charges is slower the closer the battery is to its maximum charge Co.…

A: Time required to charge a fully discharged battery is given by formula t=-k ln(1-CCo)----1 Where Co…

Q: C(x) = Write the total revenue R as a function of the number of CD's produced. R(x) = Write the…

A: As we know that total cost C( x ) = Fixed cost + Variable cost Total revenue R( x ) = selling price…

Q: Evaluate the double integral by first identifying it as the volume of a solid. J√₁5 5 dA, R = {(x,…

A:

Q: The demand function for a certain bran of CD is given by = -0.01x² - 0.1x + 37 p=

A: The  demand  function for a  certain  brand of CD is given  by p = -0.01x² -0.1x + 37  where p is…

Q: (2) Define: F(x)=√(r² + 1). e³r+² dr. (a) Use the fundamental theorem (II) to find the derivative…

A: The given integral equation is:F(x)=∫x0 r2+1 ·e3r+2 dr

Q: Subject: calculus a plane landed in arizona at 4:30pm it left w ashing ton at 12pm how long…

A: Given A plane left washington at 12 pm this plane landed in Arizona at 4:30pm

Q: Determine whether the following vector field is conservative on R². If so, determine the potential…

A:

Q: lim (1 t→∞ 12 2 t2

A: Consider

Q: Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = √4x…

A:

Q: Find the area enclosed by the polar curve 4 on the interval 0 ≤ 0 ≤ and the straight line segment…

A: To  find the  area enclosed  by the polar curve, we  need to  integrate the polar  function over the…

Q: Solve the system of linear equations The solutions have the form x = a + bt, y = c + dt, z = t,…

A:

Q: A particle moves in the coordinate plane with position vector (x(t), y(t)) such that x(t) = t² - (t)…

A: Note : Since you have posted a question with multiple subparts, we will provide the solution only to…

Q: Evaluate the following definite integral. Express your answer in terms of logarithms. €² dx 2 1…

A:

Q: That was not the answer it was 6730.77

A: Given : Future value = $7000 Rate = 8 % = 0.08 time = 6 months = 6/12 year = 0.5 year   To find :…

Q: Let log4(7t + 64) - 5 (a) Find the domain.

A: We have to find the domain ,range, vertical intercept, horizontal intercept, vertical asymptote.

Q: Find the mass and center of mass of the triangular lamina with vertices (0, 0), (0, 3), and (3, 3)…

A:

Q: I. Find the inverse of f(x). Determine the domain and range of f(x) and f '(x). . f(x) 2. f(x) 1. =…

A: As per our guidelines we are supposed to solve only 3 subparts of a question please repost the other…

Q: Find the particular solution of the differential equation. s' (t) = 6 + 71³-8, s(2) = 5 (Use…

A:

Q: Find div F and curl F if F(x, y, z) = xzºi + 6y²x²j + 6z²yk. div F= curl F=

A:

Q: The total number of users (in thousands) of a new social network site is estimated to be N(t) =…

A:

Q: Select the correct choice below and fill in any answer boxes within your choice. OA. There are local…

A: Given function  f(x,y)= x2 + xy + y2 + 2x - 5y + 4

Q: Draw the graph of y = 5*, then use it to draw the graph of y = log5 (x). y y = 5* ++ X 2 4 -4 = log5…

A: The given function y=5x. We have to sketch the graph of the function y=5x and use it to sketch the…

Q: Is (r¹ + 13x² - 14) + (x² − 1) in Q[x]?

A: Since we are given with the multiple number of question and our guideline is solve first question

Q: Suppose a, b, and c are positive real numbers satisfying a2 = b2 + c2. r(t) =…

A:

Q: a) f(x) = -2x² + 3x-1 b) g(x)=- 1 3x c) h(x) = -2e* d) p(x) = cos x + T

A:

Q: der (volume V = r²h) has a constant volume of 100 cubic feet. If its height is second while the…

A: Topic:- application of the derivative  as we know that volume of the cylinder is  volume V = π r2h…

Q: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 14 inches by 11 inches is formed into an open-top box by cutting…

Q: A graphing calculator is recommended. Consider the following. x = t - 2 sin(t), y = 12 cos(t), 0 ≤ t…

A:

Q: (a) In Section 2.8 we defined an antiderivative of f to be function F such that F' = f. Try to guess…

A:

Q: Let J = 31 +43 - K and ✓ = 2₁ +3₁-2k be of two vectors. Find the component and projection U in the…

A: u→=3i+4j-k,v→=2i+3j-2k

Q: Find the slope of the tangent line to the given polar curve at the point specified by the val r = 7…

A:

Q: f(x)=x² + 4x²-1 + sin(x) 3 2

A: Area under f( x ) from x = a to x = b  is given by  A = ∫abf( x )dx Given function  f( x ) = -x4 +…

Q: X 18 cm W The area of triangle WYZ is 60⁰ c) Find the value of p. Do ²3 17 cm 15 cm 8° Y Figure 1…

A: XY and angle We can use cosine and sine rule for this.

Q: 4) You drop a basketball from a height of 20 feet from the roof of a building, and let it fall and…

A:

Q: Rate oil is pumped out (millions of barrels/month) -Select- Select- 40 35 30 Use the graph of r(t)…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 2. Let F(x, y) = yi − zj + zk be a vector field. Compute [[F - ds, where S is the F. hemisphere 2² +…

A: We have a vector field as given below   F→=yi−xj+zk Where S is the surface bounded by the…

Q: Solve the following Laplace transform by using the definition

A:

Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A: Given: A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at…

Q: Find a potential function f for the field F = 5y + 32 (2 1 + 10x j+ 6x k). A general expression for…

A:

Q: Consider the function f(z) = ¹ (a) Fill in the following table of values for f(z): I= f(z) -0.1…

A: Given :                                                   f(x) = 3x-1x Table of values for x :  x…

Q: ce the following integrals: 3√arctan x 1+x² dx

A: To solve the following

Q: Given the points: P(3,4,-1), (2,8,4), R(1,3,-5) a) Find an equation of the plane containing all the…

A:

Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ 0 <…

A:

Q: In(x²) lim x→ X--X e-x

A:

Q: Find all solutions of the equation. to the nearest thousandth. SEE EX 29. log_(2)(4x+5)=log_(2)x^(2)

A:

Q: f(x) = -x + x², h(x) = -x + 2 dan g(x) = x C = (0,0) B=(1, 1) D=(2.31, 2.31) A= (1.7, 0.3)

A: Graph

Q: Investments   Compute the specified quantity. A corporate bond paying $3,000 after 30 weeks earns…

A: A = Total Accrued Amount (principal + interest) = $3000 t = Time Period (in years) = 30 weeks = 3052…

Q: "//₁² F. ds, where F(x, y, z) = xi-x³z2j + 4xy²zk and S is the surface bounded by cylinder x² + y2 =…

A:

Q: Do #5

A:

Q: 7. Express the Cartesian coordinates in polar coordinates in two different ways. (2,0) b. (-1, √3)…

A: Express the cartesian coordinates in polar coordinates in two different ways a) (2, 0)  b)…