Suppose the quantity demanded, q, of a product when the price is p dollars is given by the equation p= 325 -59, and the quantity supplied is given by the equation p=9. Find the equilibrium price and quantity. Equilibrium quantity: Equilibrium price: $ items

Q: Determine the following limits. Enter DNE if a limit fails to exist, except in case of an infinite…

A:

Q: Compute the first four partial sums S₁, ..., S4 for the series having nth term an, starting with n =…

A: Compute the first four partial sum S1, S2,... S4.  For the series having nth term a,nth term an…

Q: Let f(t) = J-0.14r +2.42 if # 3 7 The graph of f is given below. Use the graph of f to determine the…

A:

Q: Sketch the region enclosed by the given curves. y = cos(x), y = sin(2x), 0 ≤ x ≤ ?

A: y = cos(x),   y = sin(2x)

Q: The Deligne Dam on the Cayley River is built so that the wall facing the water is shaped like the…

A:

Q: Solve for y in terms of x, and determine if the resulting equation represents a function. (5y³/2)² =…

A: The given equation

Q: But if a = 4, then we will have a removable discontinuity since the x^2 - 4 in the numerator will…

A:

Q: In 1980 the population of alligators in a particular region was estimated to be 1300. In 2007 the…

A: The Formula for Malthusian Law is given below:In the question,population in 1980 is 1300, whereas…

Q: Given the series: Σ[142] k + does this series converge or diverge? O diverges O converges If the…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (5x - [[x]]) X→7+

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Use the functions below to find the given value. -X- f(x)=1/x-3 g(x) = x³ (g-¹ o f-¹)(-3) = =

A:

Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function…

A: Given the graph of the function.

Q: Consider the following limit. lim (13x + 2) X→ 2 Find the limit L. (a) Find the largest 8 > 0 such…

A:

Q: 3. Recall that a function of the form f(g(x)) (also written (fog)(x)) is called a composite…

A:

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t seconds,…

A: The function is a)At t= 3 second

Q: The graph of y = 2x - 3 -6x + 8 has a horizontal asymptote with equation

A: y=2x−3−6x+8

Q: Find a possible formula for the trigonometric function graphed below. Use x as the independent…

A: We have to find a possible formula for the trigonometric function graphed below.Use x as the…

Q: 8. Let f(x) = -x-2, g(x) = 4x + 1, h(x) = 2(x − 3) +1 (a) Evaluate h(-2) (b) Evaluate f(0) (c) Solve…

A: Since you have posted multiple sub-parts in the question, as per guidelines, we are supposed to…

Q: Given the function below, determine if the function is continuous at the point = -3. If not,…

A:

Q: 2) Solve the equations for exact solutions. (a) e² - e - 12 = 0 for z

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

Q: Let f(x) = a. f(1) = f(2)= f(4) = x if x ≥ 2 2 if x < 2 a. Find f(1), f(2), and f(4). b. Sketch the…

A:

Q: What is the particle's average speed as t increases from t=2 to t=4?  meters per second    What is…

A: Given,Required formula,

Q: a 1. The matrix J is given by J = C a) Show that J² = d -C -b] 2]. a d where a+d=-1 and ad-bc=1. b)…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Compute f 3 2 x-5x+6 dx.

A:

Q: (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact car averaged $8000. In…

A:

Q: (5) Alex plots the price per share of a stock that he owns as a function of time and finds that it…

A: S(t)= t(20-3t)+30We have to find average price of the stock over first five years

Q: Classify the discontinuity in the following function. f(x) = 9x 89 -2x + 25 - if x 9 о The function…

A:

Q: Find the following limit. lim f (x) x-0 -10 -5 10 5 -5 -10 4 + 5 10

A: Here we are given the graph of the function f(x).Using the graph we have to findNow by observing the…

Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: Given: To Find: (a) To find the critical numbers of .(b) To find the open intervals on which the…

Q: Consider the following function. Use a graphing utility to confirm your answers for parts (a)…

A: Note:-Since you asked multiple questions, according to our policy we can only answer the first…

Q: 3. and (5,3, -8) are endpoints of a diagonal. Find the coordinates of the remaining six corners. (No…

A: Given:  Point1: ( 2 , -1 , 4 )   Point2 : (5 , 3 , -8)

Q: 3 -1 5 3 35 m+n -2 where I is a 3x3 identity matrix. Find the values of mand n. 12 2. Given that the…

A:

Q: Find the difference quotient of f; that is, find f(x) = 3x² - 4x + 2 f(x+h)-f(x) h h‡0, for the…

A:

Q: Consider the following function. f(x) = cot Create a table of values for the function. (Round your…

A: We have to fill the table and then find the value of the limit.

Q: Let f(x) = 4x(sin(x) + cos(x)). Find the following: 1. f'(x) = 4x cos(x) - 4x sin(x) + 4 sin(x) + 4…

A:

Q: Find the derivative of the function using the definition of derivative. g'(u) = g(u): = u + 1 3u - 1…

A: To find the derivative of the function by using the definition of the derivative.To state the domain…

Q: Differentiate. dy 증 y = 3x3 – 14x2 + 32x + 9 □ III

A: This is question of calculus here function is given we have to find differentiation of function…

Q: 2x xe (1 + 2x)² Sa dx

A:

Q: Find an equation for the tangent line to the curve parametrized by x = t cos(t) and y = t sin(t) at…

A: x=t costy=t sintt=-pi.

Q: 12. lim x18 x! 3x³ +2

A:

Q: A suitcase is pulled 20 feet along a flat sidewalk with a constant upward force of 80 lb at an angle…

A: A suitcase is pulled 20 feet along a flat sidewalk with a constant upward force of 80 lbat an angle…

Q: f(x + Ax) - f(x) ΔΧ f(x) = 3x² - 7x Find lim ΔΧ → 0 Step 1 Find f(x + Ax) by substituting x + Ax in…

A:

Q: If lim f(x) = 5, must f be defined at x = 1? If it is, must f(1) = 5? Can anything be concluded…

A: Given the limit expression at x tends to 1.

Q: Find the constant a such that the function is continuous on the entire real line. 3sin x X a - 3x a…

A:

Q: 9. lim ln (1-cos x) x->0

A: To find:-

Q: (1) Find the domain of the functions (a) f(x)=√2-5(x-1) (b) g(x) = log (10-x²-3x) by solving a…

A: The given function(a) (b)

Q: Perform the subtraction and use the fundamental identities to simplify. There is more than one…

A:

Q: +00 e-l D) Jee - dz xe-1 1 a) converges to a negative value D to a positive value converges c)…

A: To check convergence of the following

Q: Part D. Problem Solving: (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact…

A:

Q: 3. and (5, 3, -8) are endpoints of a diagonal. Find the coordinates of the remaining six corners.…

A: