The supply for a particular item is given by the function S(x) = 19 + 11x. Find the producer's surplus if the equilibrium price of a unit $195. The producer's surplus is $

Q: For f(x) = {2-cosxx find /(-2) + f(0).

A:

Q: Write the integral in rectangular coordinates, and then evaluate it. i) xyz dV where G lies below z…

A: Given that , z=1-x2 and the rectangle is R=x,y:-1≤x≤0 , 0≤y≤2 Evaluate ∫∫∫GxyzdV=?

Q: 13. Find ƒ. (1)ƒ'(x)=x² + 3√x (2) f(t)=2cost+sec²t,-/2 <t</2,ƒ(π/3)=4; (3)ƒ*(x) = 6x+sinx.

A:

Q: √² (2 − x)² dx

A:

Q: Suppose that the position of one particle at time t is given by x1 = 5 sin(t),    y1 = 2 cos(t),…

A:

Q: Consider a population that grows according to the recursive rule Pn = Pn-1 + 100, with initial…

A: Given query is to find indicated terms and explicit formula.

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: we need to find out the angle between the vectors given.

Q: 14 6,¹ 3 Suppose f(x) dx 3 S f(x) dx = [ 14 = 15. Find

A:

Q: DETAILS Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that…

A: The solution is given below

Q: Consider the following. 2 2 Find an equation of the ellipse. X 6 8

A:

Q: Giving a test to a group of students, the grades and gender are summarized below A B C Male 16 20 15…

A:

Q: 3 36. Evaluate cos 20, given cos 0: = 5 sin = 4 5 and 37. Evaluate sin 20, given cos 0 and 4 5 sin =

A:

Q: Volume generated by x² = 4y, y = 0, x = 4 and rotated with respect to the y axis.

A:

Q: 3. Find the centroid of a thin flat plate covering the region enclosed by the parabolas y = x² − 3…

A:

Q: Find a function of the form y = A sin(kx) + Cor y = Acos(kx) + C whose graph matches the function…

A: We have the given graph and y=Asinkx+Cy=Acoskx+C

Q: Volume generated by x² = 4y, y = 0, x = 4 and rotated with respect to the y axis.

A:

Q: Iny y10 (b) S S dy

A: The given integral is:∫ln yy10 dy

Q: Student grades on a chemistry exam were: 77.78.73, 81, 87, 51, 79, 82, 84:91 Select the…

A:

Q: (c) Use the graph to find T₂. T₂ = 27 x How does it compare with I? T₂ <✔✔ I (d) For any value of n,…

A:

Q: Evaluate the integral. [cx (2+ = (2+ =) dz (2) 0.7 csc O O csc (2+7+ C CSC O-ESC (2 + + 7) + C +C…

A: cscx=1sinxcotx=cosxsinxdsinxdx=cosx∫xndx=xn+1n+1+c

Q: find the orthogonal 2 2 x² + 3y² = C trajectory of the family OF Curves

A:

Q: 1. Evaluate fF.dr, where O F(x, y, z) = (-7 sin (ra)-yz, n cos (ry) - yx, -ry), and C is any path…

A:

Q: etermine the interval(s) for which the function shown below is decreasing. y rovide your answer…

A: Given query is to find the interval where function is decreasing.

Q: Use l'Hôpital's rule to find the following limit. 1 In (x-8) lim x-9¹ 1 X-9

A:

Q: Determine if the following piecewise defined function is differentiable at x = 0. f(x) lim h→0* 3x -…

A: The given function fx=3x-5,x≥0x2+2x-5,x&lt;0. We have check the function differentiable is…

Q: 3) (i) The velocity and acceleration of a particle is given as v=-4i -9j + 5k and a= 6i- j + 3k Find…

A:

Q: A graphing calculator is recommended. An oil refinery is located 1 km north of the north bank of a…

A: Let point PP be located 6 - x9−x km from the oil refinery (see diagram ).     Then the cost of…

Q: From a group of 8 people, you randomly select 5 of them. What is the probability that they are the 5…

A: given  group of 8 people randomly selected  5 of them

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A:

Q: Evaluate the integral. 16 4 6 sinh (Vx) √x dx

A:

Q: What's the derivative of cos x ? -COS X -sin x sin x COS X

A:

Q: What is ? d de (tan) - csc² 0 2 csc ²0 - cot(0) - sec² 0 2 sec²0

A: To find the derivative

Q: A salmon swims in the direction of N30°W at 6 mi/h. The ocean current flows due east. at 6mi/h. (a)…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: ) Let f(t)= e⁹t t6 + cos(7 t) e4t then L{f(t)} = ?

A: Given,            ft=e9tt6+cos7te4tTo find : ℒft

Q: Find the limits. 4x³+3x+1 x-7x²³² +2x²+x a) lim (b) lim √9x -x x²³+1 x³+x²³²+x x-xx²-x²+1 (c) lim

A: Here is the solution:

Q: Find the distance from the plane x+2y+oz = to the plane x + 2y + 6z =

A: We are asked to find the distance between the planes

Q: a) Show how to find an expression for cn = f(n) (x) if f(x) = ln x. b) Use this expression to write…

A: Given that f(x)=lnx. In order to find the expressioncn =fn(x) Differentiate the given function with…

Q: Graph the derivative of the function graphed on the right. Choose the correct graph below. OA. G OB.…

A: Given, The graph of f(x)

Q: 10. Find the horizontal and vertical asymptotes of the curve. 2x² +1 (a) y=- √x*-4 2x²+x-1 x²+x-2…

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

Q: Find the point (x,y), at which the graph of y = 2x² + 3x - 7 has a horizontal tangent. The function…

A:

Q: If y = then y' =? ln zln z 2+¹ # In x zln = ln x

A: What formula usd

Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 70 bushels of fruit. She…

A:

Q: 8 W n=1 Determine whether the following series converge absolutely, converge conditionally, or…

A:

Q: If f(x, y, z) = x - y³ + e² and r(t) = ln(t)ī+3tī − t²k, find the rate of change of f(x, y, z) along…

A: The answer is given in step 2

Q: Find the equilibrium point for a product D(x) = 48 – 5x and S(x) = 20 + 2x. Round only final answers…

A:

Q: Set up the definite integral required to find the area of the region between the graph of y=x²-18…

A:

Q: Is there a value of n that will make the following function continuous at x = 0? Give reasons for…

A: f is continuous at x=0  iflimx→0  f(x)=f(0)

Q: Select all the rules that can be used to differentiate O Use algebra to rewrite g (t) = Use algebra…

A:

Q: Find 4 √₂ (4aº + 3a³) da -2

A: Given integral:- ∫-244x6+3x5dx

Q: = 1₁²₂ x 3. Define F(x): 1 /1+t² dt. Find F(8) and F'(8).

A: