The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find the marginal-cost function.

Q: Consider the function f(x) = 2x³ - 5x on the closed interval [-4, -2]. Find the exact value of the…

A: We have to find the slope and value of c.

Q: There are two types of license plates. One of them consists of 2 upper case letters followed by 4…

A: We have to slove above question

Q: Find the directional derivative of the function f(x, y) = ln (x³ + y³) at the point (2, 3) in the…

A:

Q: Q2 Find and simplify the derivative of f(x) = cosh ¹(sinh(x)).

A:

Q: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

A: A chemist has three different acid solutions. The first acid solution contains 15% acid, the second…

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does…

Q: let y = 5 log2 x³ find y' O 15/(In2 +x) O 15/x O (5/In2)(3/x) noe of the above

A:

Q: 3√/t-1 S (³√t=¹) dt = 3 − 2t + c - C

A:

Q: sin 5 (17x) dx = [

A: To evaluate : ∫sin517xdx Let I = ∫sin517xdx ⇒I =∫sin417xsin(17x) dx

Q: 5. If 3x²z+y³-xyz³ = 0, find az / əx. 6. Show that if w=f(r-s,s-t,t-r), then dw dw dw dr + + = ds ôt…

A:

Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

A: For the following demand function, to find  (a) E, and (b) values of q (if any) at which total…

Q: A ship sails on a heading of 240° for 80 km. It then goes on a heading of 140° for 110 km. Determine…

A: To solve the problem, we can use the law of cosines, which relates the lengths of the sides of a…

Q: Find the general solution for the differential equation. dy dx + 2xy = 11x

A: Given,            The differential equation is dydx+2xy=11x.To find : Find the general solution for…

Q: y' = xy³ (1 + x²)−¹/2, y (0) = 1

A: y'=xy3(1+x2)-12  dydx=xy3(1+x2)-12given  y(0)=1∫xndx=xn+1n+1+c

Q: Find the derivative

A: We are required to find the derivative of (a) y=cos2tan1+x3(b) f(t)=3csc5πt-71-cotπt5-7

Q: Differentiate the function. g(t) = 4t-1/8 g'(t) =

A:

Q: Find the inflection point for the function shown below. If there are more than one, be sure to…

A:

Q: 1. a. Consider the following graph of a continuous function f(t) on 0 ≤ t ≤ 10. 2 s(t) p/ 0 6 10 4…

A:

Q: Find the derivate of the function: a) f(t) = ₁ (t²-a) 8 F'(() = b) f(x) = 7 (x²³ - 7 x² + 4) 2 f'(x)…

A:

Q: Find the derivative of the given function. f(x) = (2x² + 2)³(x² − 1)² f'(x) = 80x⁹ + 64x7 – 96x5 −…

A: The solution is shown below- As per company guidelines only first three parts are allowed to solve.…

Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum. ܐ 5…

A: The Series ∑n=0∞arn is called geometric series and the geometric series a is the first term and r is…

Q: 8. Below is the graph of f(x) = x³ + x² - 5x+3: a) Find the zeros. b) For each zero-use synthetic…

A:

Q: Question 3 Find the value of the derivative (if it exists) of f(x) = (x-2) 4/5 at the indicated…

A: The graph of f(x) is given.

Q: 3. Use the Gizmo to experiment with more functions of the form y = b*. Select the Show probe and…

A:

Q: The sum of integrals below give the area of a region in the xy-plane. Sketch the region, label each…

A:

Q: Flow of Water from a Tank Water flows from a tank of constant cross-sectional area 40 ft² through an…

A: We have to find the rate of decrease of height.

Q: Find the Maclaurin series and find the interval on which the expansion is valid. f(x) = ln (1-x²)

A:

Q: A 200-foot cable weighing 5 pounds per foot is hanging from a winch 200 feet above ground level.…

A:

Q: The graph of y = f(x) has ƒ(5) = -2, f'(5) = 2, and f'(5): = -1. Which of the = −1 following might…

A:

Q: Find the derivative of the function. F(t) = e5tsin(2t) F'(t) =

A:

Q: Find the point on the graph of the function f(x)=(sqrt x) that is closest to the point (18,0) .…

A: The solution is shown below-

Q: Solve the differential equation. 2xy + 4x + (x² - 4) dy = 0 dx

A:

Q: e-1 Find the limit limä→0 tan x

A:

Q: 2. Find polar coordinates a. (3-√3.3) b. (0, -2)

A: We need to find the polar coordinates of the given points :

Q: Consider the function ƒ(x) = x¹ − 18x² +8, −2 ≤x≤7. This function has an absolute minimum value…

A:

Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

A: To find derivatives

Q: a. 1 e+te 0.5x e²x So dx

A:

Q: Determine if Rolle's Theorem can be ap- plied to f(x) = x² + 3x - 18 x + 3 on the interval [-6, 3],…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A:

Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 115 +…

A: Solution: Given data, P(t) = 115 +t-83e0.02t where t is the week and 1≤t≤52.…

Q: The Sixth Gate After walking through the fifth gate, your computer informs you that more than half…

A: Given function f( t ) = 1a( 7t3 - 55t2 + 165 )40

Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x² + y² + 2² = 6 and 1x² +…

A: Solution below

Q: 1. Simplify the expression, that is, rewrite the following expressions as algebraic expressions of…

A: (a)  J=sec(arctan(x3))lrt tan-1(x3)=ytan(y)=x3we know 1+tan2x=sec2x

Q: Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the…

A: We are asked to find the  elasticity of demand

Q: 43. y = (2+x)√2+(2-x)², [0,2]

A: Given function:- y=2+x2+2-x2

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A:

Q: Differentiate. h'(0) = h(0) = 0² sin(0)

A: Derivative

Q: Use linear approximation, i.e. the tangent line, to approximate √16.2 as follows: Let f(x)=√x. Find…

A: Given: f(x)=x at x=16

Q: 6. Evaluate the limit: lim x+-5+ a. 25 b. 2.5 5x X+ 5* C. c. -25 -co d.

A:

Q: Find and simplify the derivative of f(x) = ln(cosh (ax))

A: