A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C = 0.4x² + 10,000. How fast is the cost per month changing when production is changing at the rate of 10 units per month and the production level is 70 units? ... per month at this production level. Costs are increasing at the rate of $ (Round to the nearest dollar as needed.) ked: Score ots: ubmiss

Q: 3. Hannah's cell phone had 72% battery life remaining when she went to school this morning. During…

A: As per bartleby guidelines, for more than one question asked, only one is to be answered. Kindly…

Q: Question 7 Integrate the function. x + 6 dx *+3Xx +5) (A (x+3)3 X +5 +C x+5 X+3 (x+3 X+5 x+ 3)3 In X…

A:

Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du…

Q: The velocity of an object moving along a line is given in the graph below for 0 <t < 8. At t = 0,…

A: Velocity time graph given in the figure.  Initial position=10 Find the position after t=5 And total…

Q: Write the expression as a complex number in standard form. I) (-8 + 8i) – (2 + 4i) 2) (8i) + (-4 -…

A:

Q: Find the integral. e2xx2dx

A:

Q: 3. Find the equation of the line that goes through the point (1, 3, 2) and is parallel to the line…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Question 2 Question: Consider the following transformation function T: R' R Which one of the…

A:

Q: Question 8 Integrate the function. dx V9 - x2 COs:1 X+C 2 cos x+ sin x+C D sin *-C Question 9 413

A:

Q: Question 5 Integrate the function. X +7 dx 2+2x A22 A)In x7 In +C 2)5 x7 In (x*2)5 In (x

A: Given: I=∫x+7x2+2xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: 2. The temperature T and pressure P of a gas inside a pressure cooker follows the equation T/P = 8.…

A: Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Convert the point from rectangular coordinates to cylindrical coordinates., (9, 3/3, -8) (r, 0, z) =

A: Cylindrical coordinate - r,θ,z where, r=x2+y2   and   θ=tan-1yx.

Q: 3) What is the adjacency matrix Ac for the following graph G based on the order of the vertices a,…

A: Note: Since you have asked multiple independent questions, we are only allowed to answer one. Thank…

Q: Integrate the function. dx Jzx (1+x) A sin-1 +C tan-1 C In |x|•C D tan-1 .C

A:

Q: Find the differential of f(x, y) = f(1.04, 1.98).

A:

Q: The marks scored by 25 students in an examination is recorded as follows. 15, 18, 22, 34, 45, 21,…

A: The frequency distribution table from part 1 is Class Interval Frequency 9-15 2 16-22 7…

Q: ) Find all points of discontinuity, if any, for f(x) = 5-3sin x sin² 2x x-0 sin² 3x Find lim

A: 2) Given function is f(x) = 5/(5-3sinx)

Q: 2 2e* dx e3x + e* 3 2 dx (x + 1)²

A: