Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure Pand volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 1000 cm3, the pressure is 200 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant? ] cm³/min

Q: (ev+1)² eY dx + (e* + 1)3 e* dy = 0

A: we have given(ey+1)2e-y dx +(ex+1)3e-x dy= 0

Q: Let f(x) =Ex-12. Find Ihe fallewing fla)=) +f72)3=

A: Function value

Q: Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y,    x = s + 2t − u,    y...

A:

Q: Find the length of the curve 7 (t) (9 In(t), 4t?, 12t) for 1 <t < 6

A:

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

A:

Q: A mixture of calcium oxide, Cao, and calcium carbonate, CaCO 3, that had a mass of 3.454 g was heate...

A: This question is based on given following equation.

Q: 13. Write down a function f (x) that satisfics f'(x) = 3x2 + 2x – sin r + sec? x.

A:

Q: A spherical balloon is inflating with helium at a rate of 64x ft / min. How fast is the balloon's ra...

A:

Q: lim (e+x)2/=

A: L'Hospital Rule :  suppose we have                 limx→a f(x)g(x)= 00 or ±∞±∞.where 'a' can be any ...

Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if t...

A: Topic = Derivative

Q: Examples I Problem 1. If a + b c+d 4 6. c -d a- b] 10 2 ; ")-) find a, b, c, and d.

A:

Q: b)Consider the graph of y = (2x − x^2)^1/2 on the interval 0 ≤ x ≤ 2. Compute         the area of th...

A:

Q: sec? x 2. csc2 x = sec2 x-1

A:

Q: https://www.zweigmedia.com/RealWorld/calctopic1/contanddiff.htm 8. At which value of x does the grap...

A: From graph  8)There is a removable discontinuity at x=-2 9) There is infinite discontinuity at x=1 1...

Q: Given cost and price (demand) functions C(q) = 100q + 40,300 and p(g) = - 1.8q + 890, what is the ma...

A: Given query is to find the marginal cost at production level of 60.

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cm/...

A: We want to find rate of change of area of circle. 

Q: Find the equation of a quadratic function of the form f(x) = ar? +br + c with vertex at (4,8) and r-...

A: We have to find a quadratic equation of the form fx=ax2+bx+c with vertex at 4,8 and x-intercept is 6...

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

A:

Q: 10. x2(x-2) dx

A:

Q: 2) Find the exact value(s) of x where f(x) = 2x - 3x2 - 12 + 20 has horizontal tangent lines. %3D

A:

Q: 7. lim(9x-3x+4) (x-3)(* 8. lim EX-2. x*+1

A: limx→139x2-3x+4  

Q: 1 (x+ 2) (3x² + 12x + 1) dx + 1) dz (А) (B) 4 (c) 7 (D) 252

A: Topic = Integration

Q: Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (...

A: Given problem:- sec(195°) Use a calculator to evaluate the trigonometric function. Round your answer...

Q: 1. Please use this formula in finding the derivative of a given function. (. b. Find the derivative ...

A:

Q: Consider the following sequence: 9" {an} %3D 4n2 n=1 An+1 to show that the given sequence {an} is st...

A: This question is related to sequence and series, we will solve it using given information. 

Q: Evaluate sin'y cosy dy. 2

A: This is a integration problem

Q: 3. Problem 2. Is the matrix a linear combination of the matrices 2 and Justify your answer.

A: Given matrix  3002, 1001 and 1000

Q: edu/courses/49369/assignments/325601 ations).pdf 3. f(x) = 2x2 - 10x - 5 %3D

A:

Q: Given Cost and Revenue functions C(q) = q° - 8q + 53q + 5000 and R(q) = - 3q + 2400q, what is the ma...

A: We are asked to find the marginal cost

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: Verify: cos? x tan? x-1 1. = -1 %3D cos2 x

A: To verify: cos2xtan2x-1cos2x=-1

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month i...

A:

Q: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 6 + 3x. y...

A: The given question has been solved in detail

Q: 3. Tarzan Problem Tarzan is swinging back and forth on his grapevine. As he swings, he goes back and...

A:

Q: 1 find d'y dx3 Suppose y = X-1 x+1 A. 4 4 4 C. 4 (x + 1)6 (x – 1)6 (x + 1)6 * (x – 1)6 В. 6 6 6 D. (...

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given

Q: y=a* -2 2 The range of the function, in interval notation, is No decimals. No spaces.

A:

Q: Problem 5.1 List all the elements of Un for n E {2,3, 4, ..., 12}.

A: Un is a group in which all elements are relatively prime to n and less than n

Q: Evaluate the integral using Trigonometric Integrals S (8 – - 3cos (x)sin°(x) dx °(x)sin´(x)dx

A: We can find the integration as below using trigonometric integral.

Q: Let f be the function given by f (x) = | (-t² + 2t + 3) d't. On what intervals is f 10 increasing?

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

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x² - 3y2 - 9z2 where T is measure...

A: Please follow step 2 &amp; 3 . 

Q: For the given double integral, sketch the region of integration and reverse the order of integration...

A:

Q: Find the derivative of the given function. y = 3t4 - 4t2 y%3=

A:

Q: Complete the given 2 sets of tables of values to investigate the limits of a function lim f(x) If r«...

A:

Q: y = 2(1.5)" 6.75 The value of a is . Give answer as a number, not an ordered pair.

A:

Q: f(x) = 1/9 -1/x+9 divided by 9x Complete the table. (Round your answers to four decimal places.) x −...

A:

Q: Use the price-demand equation below to determine whether demand is elastic, is inelastic, or has uni...

A:

Q: Write a possible transformation in function form that will transform the ordered pair (-1,4) to the ...

A: Topic:- geometry   

Q: Find the derivative of the function y = 7.7+ 6 -6*. dy dt %3D e Textbook and Media Save for Later

A:

Q: Given the function y=2x2+12x+16, write this in the form y=a(x-h)2+k and sketch the graph of the func...

A: Here we have to write the function in general form of parabola and then draw the graph.