Given the supply function   p=​S(x)=7e0.02x−1   find the average price​ (in dollars) over the supply interval ​[32​,39​].

Q: 5 and 6 8 and the angle between a and b is 0 = 75°. Given a a. Construct a well labelled diagram for…

A:

Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: Find the limit of s(n) asn → ∞. 64 ( n(n + 1)(2n + 1) n3 s(n) 6

A:

Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

A:

Q: Solve the problem. dV The growth rate of a certain stock is modeled by = k(25 - V), V = 20 when t=…

A:

Q: Let e, = ( ) be a unit radial vector, where r = Vx? + y + z?. = (1 (a) Calculate the integral of F =…

A:

Q: Find the rectangular equation of the curve given by the parametric equations below. Then graph the…

A:

Q: 7. Let f(x,y)=9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2)…

A:

Q: Evaluate the integral 7x sin y dy dx. 00 The value is (Type an exact answer, using x as needed.)

A:

Q: 4. If the larger of two numbers is subtracted from six times the smaller, the result is 20. If twice…

A: To solve this we have to first write the equation according to given questions

Q: ind r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) 클리 - 5j + 6 (a) r'(t) (b) r"(t) (c) r'(t) ·…

A:

Q: dw dw Find ду at the point (w, x, y, z) = (75, – 1,2, – 3) if w = 3xy + 3yz- 3z° and x2 +y? +z? =…

A:

Q: $3000 is invested in an account at interest rate r = 0.035, compounded continuously. (Round your…

A: Given that $3000 is invested an account at interest rate r=0.035, compound continuously. we have to…

Q: L. dr 16. (I + 2)² 1 dz 17. x(x+2) 18. / arctan Vr dr

A:

Q: Simply the integral dx using am X²+4 A a ate trigonometric substitution. S sin edo DS sec edo dS1de…

A:

Q: Solve the problem. A conitant force F 10+ 30J. moves an object from the point P= (6, 4) to the point…

A: Given  F=16i+30j             P=(6,4) & Q=(3,18) To find work-done:

Q: Question 22 Solve the problem. Calculate the area of the parallelogram with v = (-6, 0, -6) and w=…

A: solution

Q: dr a 2 1 +3

A:

Q: .1//7 7 arccos x x² dx V1- x 1 –

A:

Q: Solve the initial value problem y' = xe ; y(-1) = 3

A: We can solve the initial value problem as below.

Q: dy = 2 – y dx Find the correct direction field for the differential equation ノー\\ ババーと

A:

Q: dx (x– 1)%

A:

Q: ) Sypposef and g are functions with continuoUS elerivatives, and that they satisty the following. is…

A:

Q: 4. dr 4-

A: Given: ∫02x34-x2dx

Q: þr+2|dx -3

A:

Q: What u-substitution should be made in order to evaluate the following integral? dx (6x² + 4)* u =

A:

Q: 2- find fxx and fyy for f(x, y) = x²sin?y

A:

Q: Follow the instructions. Typewritten for upvote. No upvote for handwritten. Thank you

A: We have to find the number

Q: Graphs of Logarithmic Functions Formulas for the Graphs 5- a. f(x) = – log,(z) 4- b. f(æ) = log,(x)…

A:

Q: 1. [²+3x - 4)dx

A:

Q: A business is planning to purchase a piece of equipment that will produce a continuous stream of…

A:

Q: f(x) z400 g(x) lim where f(r) and g(x) are seen in the graph. 3 S(x) 2 -5 -4 -3 -2 -1, 2 9(x)

A:

Q: V = f(x, y) = x²y ,x(t) = 2.

A:

Q: Solve the differential equation for general solution 7y6dy = 8x

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

Q: Q4) Find the turning points and the local maximum and local minimum of the given function x 5 y =…

A:

Q: Find the volume of the ellipsoidal solid given by 4x² +4y² +z? = 16

A:

Q: b) X, + X2 - 2 X3 +Xy = a) 5X +2y = 1 3X +2y %3D = 1 Xz - X3 +2 Xy = 1 %3D = 5 X - 5y = 6 c) 2x, +8…

A:

Q: The derivative with respect to x of (3i-1)ar is 3-1 by the 2nd fundamental theorem of Calculus A…

A: let f(x) =∫3x ( 3t-1) dt

Q: sinh(3 In(a)) = (A) - (B) a³ – (C) 을 + 3a - (D) – 11 -18 -13 - -

A:

Q: 2. sin 2wcos 2wcdw

A:

Q: Question 30 Find the curvature k and radius of curvature R for the curve at the given point. y = cos…

A:

Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 74-kilometer mark…

A: Solution is done in step 2

Q: ph of the parabola to fill in the table. 10- (a) Does the parabola open upward or downward? O=0 6+…

A: Given query is to find characteristics of parabola.

Q: Question 14 Find the volume of the indicated region by an iterated integration. The region that lies…

A:

Q: Ay 4- 2- -> 4 -2-

A:

Q: 5. The denominator of a fraction is four less than the numerator. If the denominator is doubled and…

A:

Q: Find the required limit or indicate that it does not exist. lim o+ (in (t6), 12 in t O 6i O Does not…

A: We have to find out

Q: Compute the given improper integral. Enter the exact value of the answ 13 1 dx x² – 25

A: Here we have to find the exact value of ∫5131x2-25dx=?

Q: g=ズ, a find dy dx %3D

A:

Q: Find the unit tangent vector to the curve at the specified value of the paramet r(t) = 4 cos(t)i + 4…

A: