1) The price-demand function for selling x pieces of a certain product is given by p(x) = 5x²+ 37x, while the profit in selling x is determined by P(x) = 4x³ + 58x² + 45x - 220. (b) Use marginals to approximate the cost of producing the 101st unit.

Q: Complete the table given the D.E. y(4) + 3y" - 4y = 0 Differential Operator Form Auxilliary Equation…

A:

Q: E I -12₂2 A= 5 Im # E C= Evaluate the following Problems below: SED E- 44 B= 3 D 25 |× | = ~1/₂2…

A:

Q: Let f(x, y) = x² + 2y² + 8zy List the critical points: The critical point at the origin is a Select…

A:

Q: Find a Cartesian equation equivalent to the polar curve r = 2 cos sin 0

A:

Q: 15. Obtain general solution of y' = y + y³. a. y² = 1 + ce²x b. y2-1/2 + ce²x c. y2=1+ ce-2x d.…

A:

Q: A 25-year old burns 200- 60t calories per hour while walking on their treadmill. The caloric intake…

A:

Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. [°…

A: To express the integral as a limit of Riemann sums by using right endpoints.∫466+x2 dx

Q: Givenx = (i) (ii) dx dt dy dt - || dy (iii) dx -95 + 114 and y = 95 ln(5t) — 43 (write the…

A:

Q: Given tan theta = 1  evaluate (without using a calculator): cot (90º - theta)  and  sec theta

A:

Q: нас 2 obtain the Fis for f(x)= X-X² in the interval [-^, ^] ? Solution ht! 2 ans : = = =+ 25 (1452…

A:

Q: Textbook Videos [+] A baseball team plays in a stadium that holds 52000 spectators. With the ticket…

A: Given query is to find the price that would maximize the revenue.

Q: Let f(x) = √√2 x ln(2x - 1). Use the local linear approximation of f(x) at xo = 1 to estimate the…

A:

Q: f(x) e (2x+4) = 9 (i) find the third derivative, f"", of f.

A: Solution ⇒    Given function is f(x) =e2x+4    a) third derivative of given function,…

Q: Se fe-4² (e²-1) ²dx 4x е

A:

Q: 1. Consider the function f: [-3, 2] → R defined by f(x): = x² + 4x when 3 x < 0; -x³ + 9x² - 15x…

A:

Q: Cynthia and her father planted a tree in their front yard 8 years ago. The tree was 2 meters in…

A: here we have some data regarding height of a tree , then , using the two points (2,3)  and (5 , 4.5)…

Q: 2. f'(-0.1) -5.84 3. f'(-0.1) -5.74 4. f'(-0.1) -5.64 5. f'(-0.1) ≈ -5.54 (iv) Use p4 to estimate…

A:

Q: Use your answer above to approximate 3 radical 0.99 + In(1.01). Write your final answer as a…

A:

Q: A particle moves along the x-axis so that its position at any time t> 0 is given by the function…

A: As per guidelines only 3 sub parts is allowed to solve preferably first three if specific question…

Q: Assuming this decline follows an exponential function and continues to hold, find the number of…

A: Let's find starting amount of substance in grams.

Q: Solve the following equation in the interval [0, 2 ]. Note: Give the answer as a multiple of . Do…

A:

Q: Find the nth-derivative, f(n), of f(x) e2x+4. 1. f(n)(x) = 2. f(n)(x) = 3. f(n) (x) = 2ne2x+4 1 - n!…

A:

Q: Identify at least one common mistake when setting up an integral in terms of x and y when using the…

A: We need to identify mistake while setting up integral for shell method.

Q: Express the limit as a definite integral. n lim P→0 k=1 9 2c Axk, where P is a partition of [-2, 0]…

A:

Q: Present and work out a problem that would be best solved using the disk/washer method.

A: Disk/Washer method:  This method is used to evaluate the volume of the solid obtained by the…

Q: If f(x): = 0 * sin(x) S V4 + t2 dt and g(y) = = [ f(x) f(x) dx, find g ¹*(17). 6

A:

Q: Let y = 5√. Find the change in y, Ay when a = 5 and Ax = 0.3 Find the differential dy when = 5 and…

A: y=5x x=5 and ∆x=0.3 ∆y=f(x+∆x)-f(x) ∆y=f(5+0.3)-f(5) ∆y=f(5.3)-f(5) ∆y=55.3-55 ∆y=0.3305245

Q: PROFIT A manufacturer determines that when hundred units of a particular commodity are produced, the…

A: The profit function is given by: px=400015-xx-2 dollarswhere x is hundread units.

Q: Evaluate the definite integral. 6.³ 0 2 1 + 1x² -dx

A:

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A:

Q: Find the first four nonzero terms of the Binomial Series for f(x) = (1+x)-¹/²

A:

Q: The magnitude of the rate of decay of a radioactive material is 0.71 times the amount of the…

A:

Q: Express the sum without using sigma notation. Simplify your answer where possible. 10 Σ n = 8 xn

A: The given sum is sum of 3 terms of geometric progression whose first term is x8  &amp; common ratio…

Q: Graph the function f(x)=x2-1 over the interval [0, 2] Partition the interval into four subintervals…

A: The given function fx=x2-1 over the interval 0, 2. The Riemann sum intervals divided into four sub…

Q: Determine whether or not the vector functions are linearly dependent. a) O Linearly independent. U1=…

A:

Q: (part 2 of 4) Find a power series representation centered at the origin for the function 1. Σ n=0 3.…

A: Solution is given below:

Q: cos u = 5 13

A:

Q: 1 n Prove that 1+ 2+ -3+ + 2-1 (Hint: Differentiate both sides of the equation equation.) +4. 1 1-z…

A: The solution is given below

Q: Will give good rating. pls

A:

Q: Find the average value of f(x) = 2x² - 4x + 6 over the interval [1,2]. Check Answer:

A: given  f(x)=2x2+4x+6  on 1,2formula for average value is favg=1b-a∫abf(x)dx∫xndx=xn+1n+1+c

Q: theta = √3 and theta is in quadrant III, determine all six trigonometric functional values.

A: Given query is to find trigonometric functions.

Q: Find the first few terms of the Taylor series centered at x = 0 to evaluate: cos a 1 x² lim z-0

A:

Q: Perform a decision algorithm to count the number of possible outcomes. You have a set of marbles…

A:

Q: "S If f(x) nd f(x) dx = 3.6, find [ f(x) dx = 7.1 and dx.

A: Integral

Q: Q1.5 Carry out the following integrations for trigonometric and exponential functions: a. f(2ex x…

A: (a). The given integral is: I=∫2ex×cosxdx   .....(1) Use the integration by parts: ∫udv=u·v-∫vdu…

Q: 8. Solve (cos x cos y-cot x) dx -sin x sin y dy = 0 sin x cos y = In (c cos x) a. b. c. sin x cos y…

A: To solve the given differential equation

Q: aluate the definite integral by interpreting it in terms of areas. 6 (2x - 8)dx

A: Given query is urgent find the value of integral.

Q: Question 8 If the substitution u=1+√x is made, then A B Ⓒ fr S=² 3/2 du 3/2 du √udu 2 f√udu [(1 +…

A:

Q: Determine: d O O a) cosx b) sinx d[So cost dt] c) -sinx ( d) cosx-1

A:

Q: 5) Find, using Cylindrical Coordinates, the volume of the solid that is enclosed by the cone and the…

A: Cylindrical coordinate