The cost (in dollars) of producing x units of a certain commodity is C(x) = 9000 + 6x + 0.3x². (a) Find the average rate of change of C with respect to x when the production level is changed (i) from x = 100 to x = 105. Average rate of change = (ii) from -100 to x = 101. Average rate of change (b) Find the instantaneous rate of change of C with respect to x when x = 100. (This is called the marginal cost.) Instantaneous rate of change %D

Q: A bacterial population Y is known to have a rate of growth proportional to Y itself. If between noon...

A:

Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.

Q: y 1.0- 0.8- 0.6+ 0.4+ \0.2+ -2 -1 2 -0.2 The regions bounded by the graphs of y = and y = sin'z are ...

A:

Q: A function F is an antiderivative of the function f on an interval I if for all x ɛ I A F(x)=f (x) B...

A:

Q: 3. Find the exact value of each trigonometric function. cos-1 cot

A:

Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

A: Given : 1) ln21,ln32,ln43,...ii) 0.9, 0.99, 0.999,....iii) 1, -14,19, -116,...v) cosπ, cosπ2, cosπ3,...

Q: Given that lim,→4 f(x) =7 and lim, 49(x) = 11, what is the value of the lim, →4 4[f(x)•g(x)] Answer:

A: In these types of cases, limits gets multiplied

Q: No, last te 10

A: FOLLOW THW PROCEDURE GIVEN BELOW.

Q: X-3 -4 x2-3x-40

A:

Q: tan? 0 8. -1= tan 0 sin? 0

A:

Q: do not evaluate)  When finding the volume generated by revolving y = 2 − x^2 and y = x^2. JUST Set ...

A: Given: y=2-x2y=x2

Q: (c dx Since y=x?e-6x2 has a vertical asymptote at x=0, the integral is improper. Since y=x?e-6x2 has...

A:

Q: The graphs of the first and second derivatives of a function y = f(x) are shown to the right. Sketch...

A:

Q: For function, find the point in the graph at which the tangent line has slope 9 Y= -0.025x^2+6x What...

A: The given function is:Y=-0.025x2+6xThe slope is 9

Q: A. Write T if the statement is true; otherwise, write F. 1. f(x) =, lim f(x) = f(2) 6+4t 2. lim t-3 ...

A:

Q: 3. 2. 13) tan -1 3. V3 15) sin- 17) tan-1 1. 19) sin--

A:

Q: In the partial fraction decomposition 4x2 – 35x + 34 A B C x3 – 3x2 – 10x + 24 - 2 x + 3 x – 4 - -

A: NOTE: Refresh your page if you can't see any equations. . use partial fraction  ...............(1)

Q: 7. Find dy dx (a) y = (x* + 5x) cos 5x, %3D

A:

Q: Evaluate the definite integral (5et + 8x)dx using Part 1 of the Fundamental Theorem of Calculus. Ent...

A:

Q: f(x.y) = xy' - 2x, P = (1, 1) 2.3 (a) In the direction of v (3.3) (b) In the direction toward the po...

A: Q(18).    Given f(x,y)=x2y3-2x, P=(1,1)

Q: Determine whether the sequence an 11 21 n2 n2 converges or diverges. If it converges, find the limit...

A:

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

A:

Q: 1. Evaluate (b) (-2+ j6) - (3- j2) and show the results on an Argand diagram. (a) (3+ j2)+(5- j) and

A:

Q: Match each graph to its corresponding function. graph in green 1. f(x) = |a| graph in black 2. g(x) ...

A:

Q: What is the antiderivative of the integrand dx ? 2e*

A:

Q: According to Hooke's Law, the force required to hold the spring stretched x m beyond its natural len...

A:

Q: 1. Each situation relates a quantity and a price. Calculate the two different unit rates associated ...

A: Use unitary method.

Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

A:

Q: 5*52"dx= 52r xp, dx A True B) False

A: topic - exponents

Q: * +3 Vx -dx ? What is the antiderivative of 1/3 (A 6x2 C B 9x /½, ,/3 + C + 2x © x (2x% +9) + C D + ...

A:

Q: vở tan v4 -dv 5+3 ln cos vt

A:

Q: In(x+xy+y) 1

A:

Q: Consider the sequence 18 n cos(nn) an 2n 1 Write the first five terms of an, and find limn→∞ an. If ...

A:

Q: dy Find for Y da V1 – 23 dy da

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

A:

Q: 5) sin-1-1

A:

Q: The function below is continuous at every real.number. Find the value of (m + 3/2). 1– 2x if x >4 mx...

A: We have to find 

Q: 5 Suppose S f (x) dr = -8 and S g(x) dx=9. %3D -3 -3 | Evaluate S (2 f (x) + 4 g (x)) dr. -3 Remembe...

A:

Q: y = 02(90 + 3) = 903 +

A:

Q: 7. Find (a) y = (x* + 5x) cos 5x %3D dx

A: We can find the derivative using product rule as below

Q: -dx. Find the antiderivative of 7* (A + C In 7 In 7 + C 7* (B 7* + C 2 In 7 (D 2 In 7 + C

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

Q: S3cos³x - 1- sin?x To evaluate (x, the integrand can be transformed to A S(3cos?x + csc?x) dx B) 8 3...

A: The given integral,        ∫3cos3x-11-sin2xdx

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: The nth term of the binomial expansion of (a+b)n is given by: Tr+1=Crnan-rbr...(1) Here, to find the...

Q: ft ft when the brakes are applied. A bus travelling at 66 along a straight, level road decelerates a...

A:

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A:

Q: If lim, va f(x) = lim, »a+ ƒ(x), then lim, »a f(x) does not exist. Select one: O True O False

A: Since we are given with multiple number of question answered according to the guideline,.

Q: Find a formula C(x,y,z) that gives the cost of materials for the closed rectangular box, with dimens...

A:

Q: Label each of the following statements as true or false. If true, prove the statement. If false, pro...

A:

Q: Find the derivative of f(x) = sin (x) and find an equation of the tangent line to the curve f(x) at ...

A: We have to find f'(x) and tangent line.