2.7 Derivatives of Exponential and Logarithmic Functions 11. Use Logarithmic Differentiation:((cot(x)) (sin-¹(x)))

Q: The quantity demanded per month of an item is related to the unit price by the 45 demand equation…

A:

Q: When the cost of producing a VCRS is given by C(x) the average cost for each VCR is C(x) x =…

A: To find minimum average cost

Q: Find the following limit. 3x²-1 lim

A:

Q: 4. How far from y-axis is the center of the circle 2x² + 2y² + 10x - 6y - 55 = 0? 5. How far from…

A: Given the equation of a circle, 2x2+2y2+10x-6y-55=0

Q: Explain the difference between first derivative test and second derivative test.

A:

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

A:

Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

A:

Q: 8 A communication signal is given by the function sint y== The task is to: a) Derive and equation…

A:

Q: evaluate / sin²(z) cos³(x) dx we use the identity sin²(x) + cos²(x) = 1 to obtain [ sin²(2)( cos(x)…

A: Given query is to find the substitution applied.

Q: The figure shows the graph of a function. At x = 0 is the given function differentiable, and/ or…

A: Topic - Continuity and differentiability of a function for a function to be continuous at x=a,it…

Q: 2. Find the general solution to the following DE, showing working dy dz = 3√ry.

A:

Q: 5 Given k (x) = 6x +x, answer the following: Part: 0 / 4 Part 1 of 4 (a) Find k(-x). *(-x) - y

A:

Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

A:

Q: The sum of four times a number and 1 more than the number is the same as the difference between −27…

A:

Q: f(x)=x+3e^x find (f^-1)' (3)

A: f(x)=x+3ex

Q: Find the following for the given equation. (t)-9²,3a( (a) (e)- (b) (1) (c) Find()).

A: Please see the below picture for detailed solution.

Q: Oct 23, 9:35:15 PM A particle moves along the x-axis so that at time t 0 its position is given by…

A: Given query is to find interval where speed is decreasing.

Q: Find the sum of the series, S. Szön n! S = Σ n=0

A:

Q: 7) Solve the equation 2x²-3x-2 x+2 = 0 for x.

A: Given data÷ Solve the equation÷   2x2-3x-2x+2=0

Q: An object is moving with a uniform acceleration a = 2ms ², determine the functions for: c) a)…

A:

Q: The population of a city is modeled by the equation P(t) = 338,343e0.1t where t is measured in…

A: Topic = Algebra

Q: Plot the solution using matlab a) Method of Undetermined Coefficients: The differential equation…

A:

Q: Describe the domain and range of the function. f(x, y) = 9x² - y Domain: {(x, y): x ≥ 0, y ≥ 0} {(x,…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola ?=1−x^2.…

A: The given parabola: y=1-x2

Q: Suppose that a fourth order differential equation has a solution y = -6e5* sin(x). (a) Find such a…

A: (b) General solution for this differential equation is

Q: Σ. (-1) 23 4 n = 0 = Π

A:

Q: 4.7.5

A:

Q: Consider the space curve r(t) = (3 sin(- 4t), cos(-4t), 2√2 cos(-4t)). a. Find the arc length…

A:

Q: If f(x)= e^2+In(9) then f" (x)=? Please answer asap and write neatly Thank You.

A: see below the answer and explanation

Q: بنا -3 Amplitude: -2 Period: Midline: y = 7 6 Based on the graph above, determine the amplitude,…

A: We have given graph of the function  Amplitude is the height from the centre line to peak.…

Q: Determine the value of (gof)(-1) when x+3 f(x) g(x) = x² - 1. T

A: Topic = Functions

Q: Find x. Round your answer to the nearest tenth of a degree. 11 4 x = []。

A:

Q: A simple series circuit has an inductance of 1 Henry, a resistance of 50 ohms, and a voltage of 5…

A:

Q: Write the equation of the line in slope-interecept form that passes through (4,6) and (4,-3). Then…

A: To find the equation of the line passing through given points

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: Find the curvature of the curve r(t) = (4 cos(2t), 4 sin(2t), 2t) at the point t = 0 Give your…

A: The given curve is  r(t)→=4cos(2t), 4sin(2t), 2t

Q: HOMEWORK NO. 1 (A) Eliminate the arbitrary constants. 1. xsiny + x²y = c 2. ax² + x + y² = 0 3. y =…

A: We have to eliminate the arbitrary constant from the given expressions

Q: Find 7' (t), given r(t) = (- 4√t, - 3 ln(3t), 3e-³). F' (t) =

A:

Q: Find the order one Differential equation of (x-2)y'=y+2(x-2)^3

A: x-2y'=y+2x-23

Q: 46. If y = xcos(x) then : d²y. ? dx² -2sin(x) - x cos(x) - sin(x) -2sin(x) + x cos(x) sin(x) إذا…

A: Given, y=xcos(x)

Q: 2. A catapult launches an object vertically upwards and after t seconds its height meters above its…

A: “Since you have posted multiple questions, we will solve the first question for you. To get the…

Q: Order One Differential E Solve the ff. DE Equation 1. xy' - 2y = x³ ce

A: We have to solve the given differential equation

Q: Consider the space curve r(t) = (-5t - 2, − 5t - 2, 3t + 5). a. Find the arc length function for…

A: Consider the space curve r(t) = &lt;-5t-2, -5t-2, 3t+5&gt;

Q: Evaluate the definite integral by the limit definition. Lxdx

A: evaluate the definite integration by limit definition

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship…

A:

Q: 5 Thass [[1(², 3)dA = [² [² fff(x, 0 1 drdo

A:

Q: Determine the x-intercepts of the function g(x) = 2sin(2x) + 1 on the interval [0, 2m]. {끙끙} 17 117…

A:

Q: A) B) C) D) 2 (y+ 2)² ¹+z √ O 176 5 O 1856 15 O None is correct -88 15 O dxdzdy

A:

Q: Consider f(x)=x/x^2+1  Note:Note: Use round parentheses for your intervals (open interval…

A: soution:-f(x)=xx2+1f'(x)=ddxxx2+1     =x2+1ddxx-xddxx2+1x2+12   =x2+11-x2xx2+12…

Q: Solve the right triangle. Round your answers to the nearest tenth. 49° a 17 m b = a = b = 0 X

A: