Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=13q+600​, find the marginal profit at a quantity of 15 items.

Q: sinh (5) = %3D (A) 5+ v26 (B) In(5 + v24) (C) In(5 + v26) (D) 은 (E) 5

A: We can find the correct option from the answer as below.

Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

Q: KIDAPAWAN CITY CA sin a = 1 to obtain the limit of the following: II. Apply lim a-0 a sin5x 1. lim x...

A:

Q: 4) The position function of a particle is given by F(t) = (t², 5t, tť² – 2t). When is the speed a mi...

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: We have to find maximum profit so we find first derivative

Q: Using product rule to find f’(1) in f(x)=4x^4(e^x)

A:

Q: iven Cost and Revenue functions C(q) = q° - 10q“ +51q + 5000 and R(q) = - 3q“ + 2600q, what quantity...

A: Given query is to find the quantity to minimize the marginal cost.

Q: f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

A: We can solve the question as below

Q: (-1)n+l2nx" n2 + 3 Determine the interval of convergence of n=1

A:

Q: 1+ cos?v cos?v

A: topic - indefinite integral

Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

Q: Perform the operation(s) and write the result in standard form. (Simplify your answer completely.) (...

A:

Q: A company produces computers. The demand equation for this computer is given by p(g) = - 5g + 6500. ...

A: The given data is: The demand equation for the computer is given by pq=-5q+6500, where p is the pric...

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: Qal AIf fo =Sx-ul, gca)=x fin d fogcx) Then graph it determine domain and range.

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: (a) Graph the function f(x) = 1/x (b) Hence, using translations, reflections etc., graph 1 f(x) = -1...

A: We have to draw the graph of the given functions according to the given information 

Q: y' - y = 2x? 3

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: 1. Evaluate the integral JS aA, where R is the region: {(x,y)|0 < x < 1, –3 < y< 3] x²+1

A: To evaluate the integral: ∫∫Rxy2x2+1dA where R is the region (x,y)|0≤x≤1,-3≤y≤3.

Q: Find an equation of the tangent to the curve at the given point by two methods: without eliminating ...

A:

Q: Describe the graph of the function. ) (x- 3)2 +7 O parabola opening upward O parabola opening downwa...

A:

Q: Let S be the sphere of radius 3, centered at the origin, oriented outward. [x³ + 2 sin(z)] y3 – 10xz...

A:

Q: 2 dx tan x(5+ln sin x)

A:

Q: 6 The points P and Q have position vectors, relative to the origin O, given by OP = 7i + 7j – 5k and...

A: (i) Given that: OP→=7i+7j-5k and OQ→=-5i+j+k. It means: P=7,7,-5 and Q=-5,1,1. The midpoint of PQ is...

Q: Using spherical coordinates to evaluate the triple integral zdV, where D= {(r,y, 2) E R : a s? +y + ...

A:

Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: axis. y = 3x2, y = 18x – 6x2

A: Given query is to find the volume of the solid generated.

Q: 4. у %3D 2/5 seс (10х2 - 7) 5. у %3D -10 csc (2x3 + 6) 6. у %3D 6x2 tan 10x

A:

Q: For each part, use a short sentence to explain why the expression does not make sense. S, So e* cos(...

A:

Q: ) Find the indetinite întegrel. 8, Inede

A:

Q: (a) f(x)= Jx-6 (b) g(x)= /7-x (c) h(x)=V1-x²

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: After some thought, you have decided that you will need $60,000 each year to live on after you retir...

A: This is a problem related to simple interest calculation. Based on the general formula of simple int...

Q: Q1. Fill in the blank with a suitable mathematical expression. 1. The function f(x) is symmetric abo...

A: As per bartleby guidelines we only give first question answers. 

Q: Graph the function. Then use the derivative and algebra to find the location of the critical points ...

A:

Q: Determine the maximum and minimum values ​​of the function f(x, y) = 2 +x+ 3y, in the region  x ≥ 0...

A:

Q: P where E is voltage and R is resistance. Approximate the maximum percent error in calculating power...

A:

Q: INTEGRATE THE FOLLOWING (use integration techniques) 1. f sin xsin4xdx

A:

Q: 3х - 4 dx Evaluate the definite integral. Give exact answer

A: This question can be solved by first integrating the given function and then putting the limits to g...

Q: ind the following limits if they 3. 2. 4x+1 lim x-o x-7 x +2x+x+27 8x 8. lim エー→+ 5.x-7 lim メー→+の 2....

A:

Q: The cost of producingx units is given by C(x) = 32000 + 1.7x + 20x dollars. Find the value of x that...

A:

Q: 5. S(5 -5°dx

A:

Q: substitution x = tan 0, then, the integral dx 1 + x2 transforms into tan 0 sec 0 d0 Select one:

A:

Q: It takes 1900 J of work to stretch a spring from its natural length of 1 m to a length of 4 m. Find ...

A:

Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is given by the average...

Q: The radius of a sphere is increasing at a rate of 4.9 mm / s. How fast is the volume increasing when...

A: Volume of the sphere , V = 43πr3 ; where, 'r' is the radius of the sphere.

Q: If f(x) = tan (3æ), then f'(x) = (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec (3x) (C) 12 tan (3x) (D...

A: Solved below

Q: Evaluate the following. x2 - x 1 dx J1+3x2 – 2r3 CO 2 dx 1+2 sin a x2 +2 dx r+1 2)

A:

Q: dx sin? - cos 2

A: Here, the given integral is: I=∫0πsin2x2cos7x2dx Substitute x2=t⇒x=2t⇒dx=2dt as x→0⇒t→0 &amp; as x→π...

Q: Using f (x) = In(3 – 2x), find the value of L and calculate the radius of convergence of the series....

A:

Q: Question 6 P Consider a room in the shape of a 4 m cube, 4 meters on each side. A bug at point P wan...

A: Given problem:-