(3). Find the critical numbers 1/ a) b) f(x)=x²-x²-2x+3 f(x)= x(3-x)¹/3

Q: Find the local maximum and minimum values of the function ƒ (x) = −x Second Derivative Test.…

A:

Q: Given that u = 4 and v1 = 3. And the angle between them is 40 degrees, Find vector u – 27. Make sure…

A:

Q: 1. Determine the derivative of each function. (DO NOT SIMPLIFY) c) y = 2-x² d) f(x) = sinx cos2x

A: To determine the derivative of each of the following function.(c) (d)

Q: (a+b) The angle between vectors ifa+b=5 a=3 units and units. and a is 90°. Calculate to one decimal…

A: The angle between vectors  and  is 90 degrees.

Q: 7. Given vectors ū= -2ï- 3j+ k, v= 3i+j-2kand w=(3,0,5), find if possible: a) |ū-3v +2w | b) The…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 [25 + 1 (1 − z)6 dz

A:

Q: Find the average value of the function

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1) 10 Σ k!…

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 1)k+18 k! k=1…

A:

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

A: A vertical  asymptote is a line x=a where the graph tends towards positive or negative infinity as…

Q: Solve the given initial-value dy dx - 2xy = 5y4, problem. The DE is a Bernoulli equation. 1 y(1) = ¹…

A:

Q: Evaluate O A. O B. O O D. dw dt -2² (²) 2(127) I -2 at t= 2(727) 4 9 -1/² 3 N|W for the function…

A:

Q: (1-x)y' + xy = x(x - 1)²

A:

Q: Down hill 109 cm / 4.42 sec = 24.66 cm/sec 63 cm/2.54 sec = 24.80 cm/sec

A:

Q: (3x² +9xy) dx+ (2x² + 2y) dy 20

A: The differential equation  is said to be exact differential equation if The solution of the…

Q: Determine the intervals where the following functions are continuous. 3. f(x) = √25-x² 4. g(x)= x²-9

A: Continuity of a function:A function is continuous at a point if the function is defined at that…

Q: dy Solve the given differential equation by using an appropriate substitution. The DE is of the form…

A:

Q: A region bounded by f(y) = 5 - y, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

A: We need to find volume of the solid region.

Q: We will evaluate the following improper integral: I [ª da (22+4)2 First we will do the indefinite…

A: We solve this integration problem by using general property of integral.

Q: If u = (-3.9, -0.8), (0.2, 2.8), and w = (1.8, -4.9), find the following. ū. (v + w) V.V 2 (u. *) =[…

A:

Q: 25. S sin 0 de 26. •fº, 7 dx

A: (25)

Q: A region bounded by fly) = y, y = 2, y = 6, and x = 1 is shown below. Find the volume of the solid…

A:

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 2. R is the…

A: Given :- R is the region bounded by y=x²+1 , and the lines y=2 and y=5.To find :- The area of region…

Q: Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2),…

A: Solving the problem

Q: 1 -1 √1-y² 0 X [Q² + y 0 (x² + y²) dz dx dy

A:

Q: A coroner arrives at a murder scene at 7 p.m. She finds the temperature of the body to be 87.4°F.…

A: The room temperature, =Initial temperature, =Temperature after one hour, =

Q: (16) A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from…

A: Solving the problem

Q: Use the information listed below to solve parts a through h. CITE Suppose that the demand and price…

A:

Q: The base of a three-dimensional figure is bound by the line x = y + 2 on the interval [1, 9].…

A: The volume of a three-dimensional figure can be found by integrating the area of the cross-sections.…

Q: Hi what is the final answer you didn't attach the answer you can see the answer is not shown here

A:

Q: If g(x) = 8 + x + e*, find g-¹(9). g-¹ (9) =

A:

Q: Write the equation of the line that passes through (5, 6) and (9, 8) in slope-intercept form. 1 2 y…

A:

Q: finite integral. (Use C for the constant of integration.) sir sin4 40 de

A: We have to evaluate the indefinite integral

Q: Find the area of the region bounded to the right by x = 4 - y and to the left by x = y. ܘ →NW+ 2₁…

A: The area under a curve y= f(x) from x=a to x= b is given by

Q: 30. The population of a bacterial culture was 5000 bacteria after 15 min and 40 000 bacteria after 1…

A:

Q: Given f(x) = 1|. x + 1 x + 1 Find: lim x→4¯ f(x)

A:

Q: Part A: Determine the interval of convergence of the power series for h.

A:

Q: Find the first partial derivatives of the function. Əw au Əw əv || || W ev u+v8 -e¹ (u+v²)² X

A: Given

Q: hi , the solution is not visible can you please help

A:

Q: 51. lim x→1 2. / 1 53. lim x-0+ X 1 55. lim - X 1 x→0+ X X - 57. lim x√x x-0+ 63. lim x¹/x x18 - 1 1…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Evaluate the integral. π/4 1² tan (0) sec²(0) de 0

A: Given

Q: 5. Given a = 47 - 7k in R³, determine a) a in component form b) la (exact value)

A:

Q: The current I(t) in an LC series circuit is governed by the initial value problem below. Determine…

A: The given initial value problem is:

Q: 21. If u and are collinear and the magnitude of u is 7 times the magnitude of v, write an expression…

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

Q: x + 3y¯−¹ = 1/2 x (5) Find y' be implicit differentiation: +

A:

Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is…

A: The radius of each helix is about 10 angstroms(1 Å = 10–8 cm)Each helix rises about 34 Å during each…

Q: Determine the area of the region bounded by the graphs of x = y², x = y³, y = 2.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Find a) any critical values and b) any relative extrema. t(x)=x³ + 10x - 3

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: The sales of a small company were $25,000 in its second year of operation and $55,000 in its fifth…

A:

Q: Let 0= cos(-) where 0≤. Find the exact value of 0.

A: