Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (in dollars) of the product according to the following formula. y = 33(3p + 1)-2/5, p> 0 (a) What is the rate of change in sales volume when the price is $18? (Round your answer to three decimal places.) dy dp (b) Interpret your answer to part (a). (Round your answer to the nearest whole number.) If the price increases $1, the sales volume will decrease by units.

Q: Evaluate the limits. If any of them tend towards-oo or +0o, enter "oo" (two lower case "o" letters) ...

A: Solution: limx→2-3(x-2)2    

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

A:

Q: Find the DE of each of the following by eliminating the arbitrary constants. y = ln tan(x – A)+B

A:

Q: sin 0 = 1 to determine the limit. Use the relation lim tan 0 lim 0→0 0 cot 7O

A: We know that  limθ→0 sin θθ = 1 Also  limθ→0 sinaθaθ = 1   where a is any real number.

Q: Consider the curve defined by the equation 2x + y = 3xy for questions (4-6). %3D 2 1 -3 -2 -1 1 2 3 ...

A: The given curve is: 2x3+y3=3xy

Q: that f(r) >0 and (r) (a) Determine which of the following functions are probability density function...

A:

Q: 7 Show how to use the Intermediate Value Theorem to show that the equation 4 has a solution 1+z betw...

A:

Q: Consider the following indefinite integral. 7x3 + 9x2 + 5х +6 dx x4 + 1x2 The integrand has partial ...

A:

Q: The equation of the plane through the point (2, 5, 7) that is parallel to the line 7(t) = 3î + 2 – 2...

A: Explained below 

Q: Find the area of the given region. Use a graphing utility to verify your result. 1+ In x3 y y 1 4

A: we have to find area

Q: Solve for the differential equation: x (y -1) dx + (x+1) dy = 0. If y = 2 when x = 1, determine y wh...

A: To solve the differential equation. 

Q: Given the closed region formed by the graphs y = 3x and y = x 2 in the first quadrant. If this regio...

A:

Q: 2. Find the integral Jsec dx

A:

Q: (c) When will the rock hit the surface? We note that the rock will hit the surface when its height a...

A:

Q: e12t S. dt V4e6t–1

A: NOTE: Refresh your page if you can't see any equations. . substitute  ...............put it bac...

Q: f (x) = X+1 X-1 g(x) %3|

A:

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

A:

Q: Some values for the function f(x, y) are given in the table below. x\y -3 -2 -1 1 3 7 6. 1 4 -4.1 2 ...

A:

Q: y'(x² +2)+4x(y² +2y+1)=0, y(0) =1.

A:

Q: Answer the following True or False: Since the chain and product rules give: d f(r) da g(x) d. f(x)(g...

A:

Q: . Find the area of the surface generated by revolving the given curve about the -axis. x = 9y + 1,0 ...

A:

Q: xp (1 +x) *+1 dx= 3. Evaluate.

A:

Q: Consider the curve defined by the equation 2x +y 3xy for questions (4-6). 3. 2 -3 -2 -1 1 2 3 -1 -2 ...

A:

Q: Evaluate the following indefinite integral. dt = +C

A: topic - indefinite integral

Q: equations for the line segment that joins P to Q. P(0, 0, 0),    Q(−3, 8, 6) vector equationr(t)=   ...

A:

Q: y(4y++ 12y²+9) *dy A (2y²+3)² 3 B (2y²+ 3) 3 ©(2y²+3) D 4y4+ 12y²+9 E None

A: We have to find integral

Q: If {xn} is a bounded sequence on R. Prove: lim n→+∞

A: Given  sequence xn is bounded  we want  to show that  limn→∞xnn=0

Q: Simplify the expression, expressing your answer in positive exponent form. x³yz5 (xyz-1)-1

A:

Q: a. lim f(x) b. lim f(x) x→4+ c. lim f (x) 1. x-4 X→4-

A: Given query is to find indicated limits.

Q: 7. Consider the region above the r-axis and below y = e=² with x > 1, shown below. 1. Consider a wiz...

A:

Q: t y = t dy Find dx 1 8t dy dx t dy Find dt dy dt + II II

A:

Q: Let f(x) = 7x and g(x) = 4- x2. Find the following. (a) (f+ g)(x) (b) (f- g)(x) (c) (f g)(x) (d) (x)...

A:

Q: 1. Consider the region bounded by y = x and y = Vx, shown below. Y Find the volume of the solid obta...

A:

Q: If f(r) = 3 sec(8x), find f'(r)

A:

Q: Determine the point on the curve at which the slope is 18. r³ - 9x – y = 0

A:

Q: Evaluate the derivative of the following function. f(x) = (2x)²x f (x) = (Simplify your answer.)

A:

Q: Consider the graph of the function f(x) shown below. List any x-values at which f is not continuous....

A:

Q: SF S"(x² cos y – sin x) dxdy 2

A: Given that: ∫0π2∫0π(x2cosy-sinx)dxdy

Q: The equation of the curve is y² = x³ + 9x. Find the x-coordinates where tangent lines are vertical. ...

A:

Q: Find the solution to Integro-Differential Equation.

A:

Q: 3 The expression VV 729x equals nx" where n, the leading coefficient, is: 3 and r, the exponent of x...

A: To find the coefficient and exponent.

Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x...

A:

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: We know that the trigonometric identities; 1). sin2θ+cos2θ=12). sin2θ=2cosθsinθ And ∫1ax+bdx=1alnax+...

Q: Consider the equation below. Operati x² + 9y – 9z² = 0 Functic Symbo Reduce the equation to one of t...

A: Given equation x^2+9y-9z^2=0

Q: xyz dV where E is the region bounded by = y², x² = y, z = xy y z = 0.

A:

Q: Analyze the polynomial function f(x) = (x + 6)(x – 1) using parts (a) through (e).

A: Given:- f(x)=(x+6)(x-1)2  To find:- c. Determine zeros and multiplicity d . maximum number of turnin...

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(x) =|

A: f"(x) = 4 - 6x , integrating the equation  Using the formula ∫ xn dx = xn+1 /(n+1) ∫ f''(x) dx = ∫ 4...

Q: Find an equation of the plane. the plane through the point (9, 2, 5) and with normal vector 3i + 5j ...

A:

Q: The number of banks in a country for the years 1935 through 2009 is given by the following function....

A: The given function,f(x)=83.2x+12,362if x&lt;90-376.3x+48,682if x≥90, where x is the number of years ...

Q: Find the area in the first quadrant bounded by the coordinate axes Va + Vỹ = 1 and the parabolic arc

A: Topic:- integration