5x + 400 A garden shop determines the demand function q = D(x) = during early summer for tomato plants where q is the number of plants sold per day when t 30x +7 price is x dollars per plant. (a) Find the elasticity (b) Find the elasticity when x = 4. (c) At $4 per plant, will a small increase in price cause the total revenue to increase or decrease? (a) The elasticity is

Q: 3. sin x cos y dx + cos x sin y dy

A:

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

A:

Q: The graph shown below is f(x) = -3x + 2.lf g(x) = Sốf (t) dt , find g '(-1). %3D %3D X 54 3-2 -1 1 2...

A:

Q: Rewrite the following integral using substitution: " s in3xdx

A: We can rewrite the integral using substitution as below.

Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: 3. For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts. a. If they have s...

A:

Q: Consider the following function RX) - 9x - 7 Determine whether the function is even, odd, or neither...

A:

Q: dy_ y² + xy² 8- dx x'y-x

A:

Q: dy dr 2° y0- 13 is Find using implicit differentiation, for the equation - O O O O

A:

Q: 26 1. 2.0 F28 20 1. -20

A:

Q: If f(x) = 7 cot ' + 5, then find the value of f'(-6) is -5 V37 V37 37 -7 37

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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

Q: company makes computer chips from square wafers of silicon. It wants to keep the side length of a wa...

A: Find your answer below 

Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt 5, find

A:

Q: (1- y*)dx + (x° + e*)dy where C is the boundary of the region between the circles x² + y² = 4 and x²...

A:

Q: 3x 2 dx 2x*-1

A:

Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per we...

A:

Q: If f(x) = 8 cot 1x + 4, then find the value of f'(-3) is -8 10 8 10 3 10 4 10

A:

Q: Using tabular integration, the integral St"(-2x² + 4x) cos(2x) dx equals: 3Tt 2 – 2 - -1+ 2 the abov...

A:

Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the ...

A:

Q: Participation Activity #8 This is similar to Try It #3 in the OpenStax text. Find the exact value of...

A: see below the answer and figure

Q: The values of C, and C, so that y(x) = C, e2* + C, e-2* satisfies the %3D following conditions: y(0)...

A: Here, y(x)=C1e2x+C2e-2x...(1) with the conditions y(0)=1,y'(0)=2

Q: - 20 - dr x² Vx? + 64 Evaluate the integral:

A:

Q: er the following function and express the relationship between a small change in x and the correspon...

A: Topic:- application of derivatives

Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

A:

Q: 9. Consider the equation + n+ 1 n+4 1, what must be the value of n so that the graph is hyperbola? H...

A:

Q: 1J"In xdx 1.5

A: Given query is to find the integral.

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the equa...

A:

Q: Consider the points A(3,-3, 3), B(4, -5,0), C(-3,-4,0), and D(6, 2, -6). (a) Find the volume of the ...

A:

Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: a2 - 3x + 1, r 3 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) I +...

A:

Q: An exponential function has a decay factor of 0.03. What is the percentage decay rate?

A:

Q: DO NOT include spaces in between characters. TYpe your answers in the following order and format: a=...

A:

Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 4- 2- 0.5 1 ...

A:

Q: If f(a) = 3 cot- * + 6, then find the value of f(-8) is -6 V65 V65 оо оо о

A: Solution ) f(x) = 3cot-1x + 6 Differentiate with respect to x  f'(x) = 3 (d/dx)  cot-1x + (d/dx) (6)...

Q: Remember: 1- Distribute 2- Combine like terms 3- Cancel with addition or subtraction 4- Cancel with ...

A:

Q: In exercises 1-23 solve the given differential equations: 11. sec2xdy+csc ydx = 0

A:

Q: Determine all critical points for the function. y = 4x² - 128 x

A:

Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +...

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1 r...

Q: Sa² -6x +1, a < 6 7-x, x26 Evaluate the following limits for h(x): and Justify your answer. (i) lim ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: find the afproyimate Value of: (3.01)*+(5-98)²+(2.03)?

A: solution

Q: a) Determine the cosine of the angles of the triangle whose vertices are A(1, –-2, 1), B(3, 0, 2), C...

A:

Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?...

A:

Q: The cost function for production of a commodity is given below. C(x) = 352 + 23x - 0.08x2 + 0.0005x...

A:

Q: 12. y = x2 – 2x + 3, x – axis, x = -2, x = 1 a. 30 sq. units b. 20 sq. units c. 15 sq. units d. none...

A:

Q: Find the value of this Multiple Integral. ,(x² + 3xy²) dx dy

A: Here we have to evaluate I=∫02∫0yx2+3xy2dxdy

Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

A:

Q: A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amount o...

A:

Q: Question 5 Evaluate the double integral over the given region. 8x sin xy dA, R:0 sx <T, 0 <y s1 7C 8...

A: Given that, The integral is following, ∫∫R8xsinxy dA R : 0≤x≤π, 0≤y≤1 We have to find the value of t...

Q: Provide an equation of one of the common functions with multiple transformations. For example, f(x) ...

A: