In this problem, p is in dollars and x is the number of units. The demand function for a product is p = 100/(x + 4). If the equilibrium quantity is 6 units, what is the consumer's surplus? (Round your answer to the nearest cent.)

Q: Compound Interest Match each formula for A with the correct name. Match each variable with its…

A: A = P(1+rt) - This formula represents simple interest formula, where:A is the total amount after…

Q: Please help with this question

A: (A) 3.6 Degrees per hour  (B) 2.184 Degrees per hour Explanation:Step 1:Step 2:

Q: A man with $20,000 to invest decides to diversify his investments by placing $10,000 in an account…

A: The Data:We have two investments:Account 1: $10,000 at 5.2% compounded continuously (graphed as a…

Q: Find the first partial derivatives of the function. მu მr = მ მყ u = ln(x + 5y + 6:) მ:

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: What is the maximum rate of change of f(x, y) (2,0) 2x+2y 4x²+4y2 2 0 None of the above x²+y at the…

A: at the point

Q: tan-1(x) sin x f(x) = 1 for x 0, for x = 0, x²ln(-x)+x+1 for x < 0.

A: f(x) is a descrete functionWe have to find f(x) is continuous and differentiable at x= 0 or not

Q: Find the first partial derivatives of 4x - f(x, y) = = 3y 4x+3y at the point (x, y) = (2,4).

A: f(x,y)=4x−3y4x+3y at the point (x,y)=(2,4)Using the quotient…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Angle that vector a = (12,-3,4) makes with the y-axis is  arccos(13−3​)Explanation: For any query…

Q: Q.6

A: See the answer image (sketch of the region) in the explanation field. The area of the region can be…

Q: please give the proper answer at the end for each other, because i uploaded the question last time ,…

A: (a) (2−3π​, 2−π​)(b) (−π, 1)(c) (0.57, 0.079)(d) (−6.18, −π)∪(0, 0.57)Explanation:Let us make a…

Q: In this problem, use properties of definite integrals. 5 (4x-x2) dx= If [² (4x – (4x-x2) dx= -11 and…

A: Answer is -3Explanation:

Q: Use the chain rule to find and, where First the pieces: శ శీరశౌర And putting it all together: x = =…

A: We need to use chain rule to find derivative.

Q: Suppose that f(x, y, z) = x²yz - xyz³ is a function of three variables. 1. Find the gradient of f(x,…

A: f(x,y,z)=x2yz−xyz3(1) Using the power ruleddxxn=nxn−1

Q: Equations are given whose graphs enclose a region. Find the area of the region. y = x²-2x+1; y =…

A: Answer is given below:  Explanation:Question 1:Answer:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: (-5, 2, 1) Explanation: Here, given equations of lines are…

Q: b. How would you rewrite each expression if it was an integrand for a trig. integral? Just the first…

A: We have to rewrite each integrand1.    Sin3xcos4x2.     Sin2x3.      Cosec3xcot3x

Q: (x-5)n n=0 • 8 WI 2. Determine the interval of convergence of the power series.

A: The objective of this question is to find the interval of convergence of the given power series. The…

Q: pls help

A: Summary:- using basic mathematics Vector formulaExplanation:

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: The area of the surface generated by revolving the curve y = \sqrt{49 - x^2} about the x-axis from x…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Givne that the region is bounded by a curve  and line

Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = 7t + 10…

A: (a) Compare the  and  to get

Q: X -3 = 5x² + xy² + y³, a = น y (5 points) Suppose f Compute the gradient of f at a. Vf(a) = Compute…

A: ∇f(a)=[−29−3​] The Directional derivative of f at a in the direction of v [5​29​5​−6​​] C=43…

Q: (a) Let vt) be a differentiable vector valued function of t. If v. dy = 0 for all t, can we say…

A: The objective of the question is to determine if we can say anything about the magnitude of the…

Q: Compute the exact value of the differential dy if y = 2ln(1+√√x) - if x = 4 and dx = 0.5 4 +12 3x…

A: Therefore, the required answer is dy=1/8Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the integral using su

A:

Q: Determine the sum of the following series. 4n+8n Σ 13" n=1

A:

Q: Find a set of parametric equations for the rectangular equation y=4x-4 that satisfies the condition…

A:

Q: Determine the Cartesian equation of the plane that has a normal vector (-3, -7, 8) and passes…

A: The Cartesian equation of the plane is:−3x−7y+8z+40=0Explanation:Step 1:The Cartesian equation of a…

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: (Text' . | Find a ⋅ b if |a| = 5, |b| = 4, and the angle between a and b is radians. 8 • a b =

A: The formula for the dot product is : a⋅b = ∣a∣ ∣b∣ cos(θ)a⋅b  = 5* 4 *cos(π/8)a⋅b   = 18.4776…

Q: What is the irrational number that is a particularly suitable base for both exponential and…

A: The irrational number that is particularly suitable as a base for both exponential and logarithmic…

Q: The concentration of a drug in an organ t seconds after it has been administered is given by x(t) =…

A: The objective of the question is to understand the concentration of a drug in an organ at any given…

Q: I have enough pure silver to coat 3 square meter of surface area. I plan to coat a sphere and a…

A: Given:Enough pure silver to coat 3 square meters of surface area is present. The plan is to coat a…

Q: Let (f : [0, infinity) -&gt; R be an arbitrary continuous function, which is differentiable on…

A: The objective of this question is to prove that for a given function f, which is continuous and…

Q: Problem #3: Consider the following function. f(x, y) = 2x3+24xy-12y2 (a) Find the critical points of…

A: Refer explanationExplanation:

Q: Suppose for a particular commodity, & = 1.7 and that currently 70,000 units are selling for $16…

A: A 1% increase in price decreases the total revenue by $8,030.40.Explanation:Given:Price per unit =…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: 9)The correct answer is: "False". A normal vector to a line is perpendicular to that line, not…

Q: Suppose a baby food company has determined that its total revenue R for its food is given by  R =…

A: A production level of 35 thousand units will maximize revenue.Explanation:To find the production…

Q: Find the fourth degree Taylor polynomial, P4(x), for f(x) = ln(x + 1) centered at x = ( = 0.

A: f(x)=ln⁡(x+1) centered at x=0.Taylor series centered at x=a is given as f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t³…

A: Ans:Detailed answers in explanation please referAny confusion please ask in clarification will…

Q: Let 60, 61. What is the derivative of the function y = b²? In(b) -In(x) 1 1 In(b) ○ b* In(b) eIn(b)…

A: Option (c) is the right answer. Explanation:

Q: a homeowner wishes to insulate  his 1200 square foot house's attic. The total cost C (r) for r…

A: The homeowner should place 9 inches of insulation in the attic to minimize the total…

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

Q: let F(x)=f(f(x)) and G(x)=(F(x))^2  You also know that f(5)=10 , f(10)=3,  f prime of 10 = 4, f…

A: The objective of the question is to find the derivative of the functions F(x) and G(x) at x = 5. We…

Q: 1. Evaluate each of the following integrals. If partial fraction decomposition of the rational…

A:

Q: Use the graph of the function f shown to estimate the indicated limits and the function value.…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

Q: Find the derivative of the function. x+2x-2 y= x-2x+2 OA. y=. OB. y'. O c. y=. 4x-8x (x²-2x+2)² OD.…

A:

Q: 2) The contour map of f(x, y) is shown below. Use it to find fx (1,3) 10 10 8 8 6 =2 6 0 x=2 6 8 10

A: fx​(1,3)=1   Explanation:From the given contour map, we can see that, f(1,3)=4  Similarly we can…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 8) a) 0 9) d) Explanation:Step 1: Step 2: Step 3: Step 4: