Given cost and price (demand) functions C(q) = 110q + 44,200 and p(g) = - 1.9q + 890, what is the marginal cost at a production level of 50 items? The marginal cost is $. (Round answer to nearest dollar.)

Q: n=0 n!

A: This is series problem

Q: The planes I. and II, have equations IL : 6y+5z =-19, 5 II,: -x -4y+7z =1. State the normal vector o...

A: We have to find the normal vectors of the given planes.

Q: The sum of one number and three times the second number is 48. What will be the maximum product of t...

A: Given that the the sum of one number and three times the second numberis 48.Our Aim is to find the m...

Q: 1. Find the differential equation for the family of: 1. Circles passing through the origin with cent...

A: Topic:- application of derivatives  Note :- as per our guideline if more than one question uploaded ...

Q: The half-life of cesium-137 is 30 years. Suppose we have a 130 mg sample. (a) Find the mass (in mg) ...

A:

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) = 4...

A:

Q: ) Find | sin can) cas (ga)da cos (gx) dx

A:

Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

Q: Find the arc length parameter along the given curve from the point where t= 0 by evaluating the inte...

A:

Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx V1 + x2 tran...

A:

Q: 2. Matching type: Match the functions in Column A with their corresponding antideriva- tives in Colu...

A: so in column A is given the derivative of column B so we derivate the column B a F(x) = 3x3 - x now ...

Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

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

A:

Q: esecx+lntanx -dp- 9. cos x

A:

Q: is differentiable at r 2. 2. (a) Using the definition of derivative, compute for the slope of the li...

A:

Q: Exercises: Differentiate each function with respect to x. 1. y = (x³ + 3)5 2. y = (-3x5 + 1)3 3. y =...

A:

Q: (r +1)' sin x (c) lim - 2.x X-0 sin x (d) lim- X-0 20' lim + sin 0 (e) 40

A: According to our guidelines we can answer only three subparts. Kindly repost the otherquestions in t...

Q: By the fests. 2. a³y = x²(2a² – x²)

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A:

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: 9 y = Arctan(+x, 1- 2x

A:

Q: 2. f(x) = V2x + 3, a = 3 %3D

A: 2) f(x)=2x+3,  a=3  slope of tangent line is m= dydxm=122x+3×2   m=12x+3Substitute x=3⇒m=12(3)+3    ...

Q: Find dy/dx by implicit differentiation. 4. x²- 2xy + y = c 5. x'y + xy² =3x 6. y +x°y =1+ ye?

A: This question is based on differentiating equation both side with respect to x.

Q: ) Find the indetinite întegrel. 8, Inede

A:

Q: f(x) = x^3 -1000x +2022 How many local minima does this function have? are inflection points of thi...

A: Given function f(x)=x3-1000x+2022

Q: (-1)"+l2nx" Determine the interval of convergence of2. n² +3 n=1

A:

Q: Question Select your answer. Find the derivative of f(x) = 5/I with respect to r. 2x 5 Answer

A:

Q: Calculate the amount of money​ you'll have at the end of the indicated time period. You invest ​$400...

A: Given query is to find the amount after 8 years.

Q: Use the Laws of Logarithms to expand the expression. 5 log2 9t2

A: Apply log rule:  logaxy=logax - logay

Q: i- graph and Rined Demain and Range for yz sin'x- 3 ーhn Hi-z+ 3x3-5 2. - graph apel find Df f Rf for...

A: 1. y=sin2x-32. limx→∞4x3-2x2+13x3-53. y=-5sin2x Note:      Multiple questions are given, we are answ...

Q: / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0 O x = 3 tan 0 O None of ...

A: The integration of the integral is√(16-x2).

Q: 3. s varies directly as r and inversely as square of difference of q to t. If s=12 when r=10, q=5 an...

A: Question: S varies directly as r and inversely as square of difference of q to t .If s=12 when r=10 ...

Q: (a) f(x) = (3x² – 1)/T +x/4 (b) y(x) = r-1 r³+2 (c) g(t) = [(t³ + 4)(t² – 1)]/

A:

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: Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P. 12ft B The point...

A: Rate of change

Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

A:

Q: How do you find the derivative of function y=x^2-2radicalx/x

A:

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 the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infini...

A: This question is related to definite integration, we will solve it using given information. 

Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing (in mm³/...

A: Let the radius of the sphere is r then given drdt=4 mm/secand diameter is 2r=40 mm

Q: The given integral is Te-x³(-3x²)dx. Let -x. Now differentiate u with respect to x. That gives U = d...

A:

Q: What’s the derivative ? f(x) = xe^-x3

A:

Q: ( 2 + x², -2 < x< 0 4 1. f(x)dx; f(x) = 5x + 2, 2 0 <x< 4 -2

A:

Q: D. Evaluate the following limits by making a table of values for x. Consider 5 values of x for to es...

A: find limit

Q: The position of a car traveling along a highway is given by the function s(t) = 21* - 61-612 + 3 whe...

A:

Q: e. Find the area under the curve y = vx + 8 from x = -8 to x = 4. Give exact answer.

A:

Q: E. y = xArctanx - In V1+x

A:

Q: Evaluate the given integrals. sin 6x dx sin23x 4.

A:

Q: „J: Evaluate the integral (4x + 1) In x dx . Evaluate the integral Sou 6 tan x sec* x dx 1: Evaluate...

A:

Q: 2.) State one of the two formulas for finding the derivative of a function f(x) that uses limits. Us...

A: