Find the extreme values of the function and where they occur. y=lnx O None O Minimum value is at x = ¹/4; no maximum value. O Maximum value is at x = e1/4; no minimum value. O Maximum value is at x-e¹/4; minimum value is 0 at x = 1. << Previous

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A:

Q: What is the equation of the tangent line to the curve y=In(x++1) at x = 1 ?

A:

Q: A plane can fly 910 miles in the same time as it takes a car to go 275 miles. If the car travels 127…

A:

Q: Suppose that in a memory experiment the rate of memorizing is given by M' (t) = -0.003t² +0.8t where…

A: Given: M't=-0.003t2+0·8t To find: Total number of word memorised in first 30 minutes.

Q: f(x)-f(a) x-a a. Use the definition man b. Determine an equation of the tangent line at P. c. Plot…

A:

Q: 3x³ 4x / (3²¹-4-2)=[ X3 dx +C

A: Given query is to find the integral.

Q: A thin sheet of ice is in the form of a circle. If the ice is melting, at what rate is the radius…

A: Given that ice sheet is in the form of circle.

Q: If 11+2 f(x) + x²(f(x))³ = 0 and f(3) = -1, find f'(3). f'(3) =

A:

Q: Evaluate the following integral over the specified region. Assume (r,0) are polar coordinates. dA R…

A:

Q: Consider the function f(x) = 2x3 - 6x² - 18x + 54. a. Find the first derivative. f'(x) b. List any…

A:

Q: 5) A) 4./00 45'00 5'00 B) D) 458 4500

A:

Q: 1. Use the limit comparison test to determine whether the infinite series is conver a. Σn=27³-1 b.…

A:

Q: 4. (a) (b) Express the given equations in polar equations. x² + y² = 7 4.xy=3

A:

Q: A marlin swims at a constant rate. The table shows the proportional relationship between the time in…

A: Find the constant

Q: L 2 3 4 Graph equations 1-4 on Desmos. Use the graph to complete the other parts of the table. Then,…

A:

Q: (5) For the nonhomogeneous equation x²y" - 4xy' + 6y = x³ the two linearly independent solutions to…

A:

Q: A manufacturer produces bolts of a fabric with a fixed width. A quantity g of this fabric (measured…

A:

Q: Fill in the missing values to make the equations true. (a) log, 11 - log, 9 = log₁0 (b) log+ log 3 =…

A: Given equations:- log511-log59=log5 log4+log43=log415 2log63=log6

Q: 53. sec² x 1 + sin x sec² x - sec x tan x cos² x

A:

Q: -4 3 3 - (²-4).M² - (²2).M - ( 1).M. M₂ = , M3 -4 ,M4 = 1 -4 -3 -2 Given Matrices: M₁ = and Vectors:…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: c Instructions for the following questions write your answers and working out on paper. For a full…

A: Let's find revenue function, profit function and price at 3 units.

Q: Enter

A:

Q: Differentiate y = arctan(2). y' =

A: Given: y=arctanx   As we know that: The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And use…

Q: Question 6 Calculate the volume of a solid on the first octant and under the plane defined by…

A: Volume

Q: Solve the following first order differential equation whose type of differential equation is either…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 2 - 1² st F(x) = F'(x) =…

A: Please see the below picture for detailed solution.

Q: Question 6 A spherical snowball is melting in such a way that its radius is decreasing at a rate of…

A:

Q: Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also…

A:

Q: For the above rational function f(x) = < X < Submit Question 3Q 19 4x² + 2 Jump to Answer " identify…

A: Given:=19ddx4x2+2-1  fx=194x2+2 An inflection point is a point on the graph at which the second…

Q: 6. [0/0.02 Points] DETAILS MY NOTES X = ASK YOUR TEACHER PREVIOUS ANSWERS Solve the equation. (Enter…

A: Topic:- algebra

Q: 1) Consider the function f(x) = 5x+2. Use basic formulas from Geometry to calculate the Definite…

A:

Q: Let z(x, y) = дz & მა Calculate дz მა дz Ət || || 7x2 - 9y2 where x дz St by first finding ?х дз' >…

A: The given function is  z(x, y)=-7x2-9y2 where x=-8s+5t and y=8s+3t

Q: Normalise these vectors to have length 1. 4 10 4 6 ab becomes sin (a) becomes sin (a) Ә əx ə əx ⠀ 8…

A:

Q: III. Find the indicated derivative of each function a) 4+4r- b) w=- 4z +1 3u¹ + 2 u(+2) 1 x²-x+1 c)…

A:

Q: Find and classify the critical points of z = (x² − 4x) (y² – 8y). Local maximums: Local minimums:…

A: Given function:- z=x2-4xy2-8y

Q: Suppose f''(x) = 42x + 16e-4x, ƒ'(0) - 14, and f(0) = - 9. Then f(x) =

A: See this solution in below.

Q: Write an equation of the form ya sin bx or y a cos bx to describe the graph below AA 0 6 8 0/6 R 20…

A:

Q: Which formula is not equivalent to the other two? (−1)k- k-7 10 (2) Σ k = 8 -7 Ο (b) Σ k= -2 (1) k +…

A:

Q: Let F = (9x - 2zx²,4z – xy, 7z²x²). Calculate div (F) and curl (F). (Use symbolic notation and…

A:

Q: Simplify the expression: 7 x-1 X x-1 + 3 x+1 1 x+1

A:

Q: the products revenue is R(x)=-2x^2+400x R(x) is dollars and x is units sold. the cost function is…

A:

Q: (x - 2)² 22 2. Find (algebraically) the absolute maximum and minimum values of f(r): interval (0,…

A:

Q: Evaluate the following sums. 9 (2) Σ 3 k=1 500 (b) Σ 9 k = 1 264 (c) Σ k = 2 20

A:

Q: lim √² 2-√²+1

A: For (m),        limx→∞ x2-2-x2+1=limx→∞ -3x2-2+x2+1=-3·limx→∞ 1x2-2+x2+1=-3·limx→∞ 1limx→∞…

Q: Suppose that the cost (in dollars) for a company to produce a pairs of a new line of jeans is C(x) =…

A: Let's find marginal cost. Cost function is given.

Q: (part 1 of 2) Determine two coterminal angles (one posi- tive and one negative) for a) 120° 1. 480°…

A:

Q: Find a cubic function y = ax³ + bx² + cx + d whose graph has horizontal tangents at the points (-2,…

A:

Q: An anonymous survey of college students was taken to determine behaviors regarding alcohol,…

A: Note:- This is having multiple sub parts and according to company we can do maximum 3 sub parts so i…

Q: 2. Find all the values for x for whi radius of convergence? (−1)"(x+1)" n a. n=l

A: a. Ratio test

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: