4. At high temperatures, nitrogen dioxide, NO2, decomposes into NO and O2. If y(t) is the concentration of NO2 (in moles per liter), then at 600°K, y(t) changes according to the reaction law = -.05y² for time t in seconds. dt A. Express y in terms of t and the initial concentration y.. B. Assuming that the concentration of NO2 is twice as high at t = 20 seconds as it is at 100 seconds, find the exact initial concentration of the NO2. Reminder: “Exact" means no calculator numbers.

Q: Determine the area and circumference of the following circles. 17. 18. 19. 5 in 5 in 28 cm

A: Area and circumference of a circle

Q: 2. Find five arithmetic means between 12 and 21-6.

A:

Q: dy/dx+3y=2

A: Given query is to find solu of the differential equation.

Q: The graphs of the tunctions f and g are shown below. It u(x) = f(g(x)), tind u' (5). 3 6

A:

Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

A:

Q: A company produces a special new type of TV. The company has fixed costs of $481,000, and it costs $...

A: Let's find. 

Q: Suppose f is a quadratic function that has roots at x = - 5 and x = 8, and f(0) = 15. We will write ...

A:

Q: What is the derivative of f(x) = 26 (12.1)* + 8 (0.56)* +1 ex with respect to x? f '(x) =

A: topic  -  derivative of exponential function

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. x = Vt, y...

A:

Q: solve 33,37&41

A: In this question we have to sketch the following curves.

Q: Use the Chain Rule to find dz/dt. z = tan-1(y/x), x= et, y = 9 – e-t dz dt

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

Q: 8. Determine the general solution of the the differential equation: (r + y)dy = (x - y)dr (a) r? - 2...

A: As per Bartleby guideline, we have answered only the first complete question. If you want to get the...

Q: The orthogonal projection of v = 10i on b = –3i + j is <

A:

Q: It was determined that the demand equation for a product A is given by x = f(p, q) = 10, 000 − 10p +...

A:

Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane 2X-y-27=4...

A:

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)? H...

A:

Q: A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, pouring a brine solution ...

A:

Q: . A hemisphere with radius 5 cm was cut by a plane, parallel to the base, which passes through its c...

A: In order to find the larger volume part we need to calculate the volume of any one part by that we c...

Q: Given cost and price (demand) functions C(q) = 120q + 42,000 and p(q) = - 1.9q + 870, what is the ma...

A: Given query is to find the maximum profit possible.

Q: Compute the value of the following improper integral. If it converges, enter its value. Enter infini...

A:

Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

A:

Q: Find the indefinite integral sec* 7x dx.

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

Q: 40. f(x) = -x' + 3x + 7, %3D

A:

Q: curve r = 5 cos(30). Set up an integral for finding the area that it encloses. de

A:

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A:

Q: Determine if the series is convergent or divergent. Hint: First use partial 00 -6 n(n + 2) n = 1 con...

A:

Q: Find the first partial derivatives of the function. f(x, y, z, t) = 7xyz9 tan(yt) fx(x, y, z, t) = f...

A:

Q: given Fixsy) = (I-x3_y3)3 what is

A:

Q: Answer the given DE below: x (dy/dx) +y=y^2

A:

Q: Determine the behavior of the functions defined below. Note that it is common to write f(x) → " to i...

A: The given function,    fx=9x2+5x-6

Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

A:

Q: Σ (х +9)" 2" n=0

A:

Q: Write the equation of the sphere if (1, - 2, of the sphere. 5) and (- 1, - 2, - 7) are the end point...

A: Solving question by equation of sphere

Q: SS 2x dæ dy 0 < x < y³ and 0 <y<2 1 decimal

A:

Q: Use logarithmic differentiation to find the derivative of these functions. (a) y = Vre*´(x² + 1) 10 ...

A:

Q: Write an equation for a sphere centered at the point (-1,2,3) with radius 8.

A: topic -  sphere 

Q: The functionf is defined as f(x) = (x – 5)(x + 6)². Answer the following - questions without using a...

A: Solution : fx=x-5x+62a. if fx=0x-5x+62=0x-5=0,x+62=0x-5=0,x+6=0x=5,x=-6roots are,x=5,-6

Q: (yex-2x)dx+exdy=0

A:

Q: Suppose the function g is defined as g(x) = Fill in the following blanks. f(x) (Note: if g(x) increa...

A: The g(x) function is defined as g(x)=-5f(x) ........................................... (1) and the ...

Q: Find the standard equation of the parabola which satisfies the given conditions. Focus (-2, -5), dir...

A:

Q: f. xy³y' = x +In(x)

A:

Q: Find f'(-3) if f(x) = - 7x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: topic - derivative of a function

Q: Select all possible vector equations for the line through the points (1,1,1) and (3,4,5). OF (t) = (...

A: Note that the vector equation of the line passing through two points a→ and b→is given by: r(t)=a→+t...

Q: Given cost and price (demand) functions C(q) = 110q + 41,000 and p(q) = - 2q + 860, what price maxim...

A: Given : price demand function p(q)=-2q+860

Q: ( Inx)°

A:

Q: Consider the following functlon. f(x) = 4x arctan x (a) Find the critical numbers of f. (Enter your ...

A: Given : f(x) = 4x arctan x So, f'(x) = 4 [ x arctan x ]' Apply Product Rule : [u(x).v(x)]' = u(x).v'...

Q: Find the limit by rewriting the fraction first. ху — у - 8x +8 lim х - 1 (х,у) —>(1,3) x+1 ху — у — ...

A: In this question , we can find the limit . Firstly , we arrange numerator term and cancel the denomi...

Q: Given revenue and cost functions R(q) = 90q - 0.4q and C(q) = 15q + 600, find the maximum profit tha...

A:

Q: Identily the asymptotes. Give your answers in exact form. Do not round. *-4x+2x-5 a(x) = X-6 Separat...

A: To find horizontal, vertical and slant asymptote.

Q: A ship sails from a harbor for 16 nautical miles south. It then sails in the direction S 55 E for 18...

A: