Use logarithmic differentiation to find y = secx tex Secx dy dx 4 for: x² +1 e 8x secx

Q: Find a simplified series representation of x²e4 answer = n

A: The given function is x2e4x.

Q: (t²-2t)³ 5t 4. The voltage applied to a 0.25-F capacitor is given by v=- 3.7 s. . Find the current…

A:

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: from the given table

Q: ellipse: ² + ² = 1 4 Given the ellipse: (a) Find the coordinates of the center of the ellipse (a)…

A:

Q: y = In[sin(x + y)]

A:

Q: sin x lim X→0 xX tan x m. n. lim x→0 X

A:

Q: Find the point on the curvey=+x where the tangent is parallel to the line y = x.

A: The slopes of parallel lines are equal.

Q: 11. The quadratic function y = a (x - b)² + c passes through the points (-3,0) and (5,0). Its…

A: Question No. (11): The quadratic function passes through the points . Its maximum valueis 32. To…

Q: Suppose that we're making and selling some widget and the revenue (in dollars) when making a widgets…

A: The objective of this question is to find the average revenue, marginal average revenue functions,…

Q: A company's marginal cost function is C'(x) = 686 - 4x +0.06x² where x is the number of units, i…

A:

Q: 1. Use the Limit Comparison Test to determine whether the series below converges or diverges. List…

A:

Q: 3. If y = esin, find dy.

A:

Q: Evaluate the limit lim x →0 O -1 1 18 1 9 √81-x-9 X

A:

Q: Find the general solution of the homogenous differential equation 9y" - 30y' + 25y = 0.

A:

Q: 11. Find the absolute maximum and minimum values of each function on the given interval: (a) y =…

A: The given functions

Q: The area of a circle increases at a rate of 4 cm^2/s.   Part A How fast is the radius changing when…

A:

Q: Solve the initial value problem If the solution is y = co + C₁x + ₂x² + C3x³ + C4x² + C5x5 +C6x6 +…

A:

Q: y=3in (2+x²)

A: y=3ln⁡(x2+2)dydx=ddx{3ln⁡(x2+2)}ddxln⁡x=1xChain Ruleddxf(g(x))=f′(g(x))g′(x)dydx=3x2+2ddx(x2+2)

Q: Suppose that we're making and selling some widget and the cost (in dollars) when making a widgets is…

A:

Q: 3. •x Soff x² sinzdzdydx Ᏻ

A: Use the Power Rule:Use the Constant Coefficient Rule:Use the common integrals:

Q: Find the area bounded by y = 2 sin x, y = cos 2x from 0 ≤ x ≤ T. π. Round your answer to the…

A: Given that the region bounded by curves

Q: .2 x²+1 lim x-∞ x²-1 X-

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3. Two savings account start with $100 each. Account A earns $2 annually while account B earns 2%…

A:

Q: 5. Solve y"" - 6y" + 11y' - 6y = 0

A: The given differential equation is

Q: The polynomial p(x) = 8x³ - 18x² + 7x +3 has exactly 3 zeros. If p(1)= = 0, use synthetic division…

A: Given that the polynomial

Q: Let + f² f(x) dx = 3, Find S 4 f(x) dx = -10 5 ¹ [*³ f(x) – 6 and - 3 dx = f(x) dx = 3, [ f(a) f(x)…

A: The Sum Rule:The Power Rule:The Constant Coefficient Rule:

Q: The population of the world¹ t years after 2010 is predicted to be P = Round your answers to one…

A: To find the population in 2026 and the average population between 2010 and 2026.

Q: b) 9-x² x²+4x+4

A:

Q: Find T 1 = -1 wwwman x² dx + C

A:

Q: Find the domain of f(x). f(x)=√x² + 7x + 10

A:

Q: For what value of x the geometric series (x-4)" 9n is convergent?

A:

Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+2t³,…

A:

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x²…

A: The given marginal profit function , where  is the amount of cheese sold in hundreds of pounds.The…

Q: Use the formula f'(x) = lim Z-X f(x)=x²-x+4 f'(x) = f(z)-f(x) Z-X to find the derivative of the…

A: we need to find f'(x)

Q: Evaluate the integral: 16 √ 2² √² + 64 0x = (A) Which trig substitution is correct for this…

A: We have to evaluate the integral using trigonometric substitution.

Q: 2 5. Represent the function as a power series f(x) = o Cnx". Compute the first few 1-7x coefficients…

A: The function 2/(1-7x)

Q: Set up and evaluate the triple integral needed to compute the volume of the solid bounded above by…

A:

Q: how much is 2*2

A: The question is asking for the product of 2 and 2.

Q: Find the limit of the sequence an = (cos.n) 5"

A:

Q: Consider the following position function. a. Find the velocity and speed of the object. b. Find the…

A: Given,

Q: j. lim sin x x →0 k. lim sin² x x→0 1. lim sin 3x X-Z 2 m. lim cos³ x X→= 2

A: To find:-(j) (k) (i) (m)

Q: Suppose that the radius of convergence of the power series   cn xn is R.     What is the radius of…

A:

Q: 3 [³ ex dx = e³-e, use this result to evaluate Given that 3 [²70 7ex +4 dx.

A: Given,.Let assume,

Q: Find the cost function for the marginal cost function. 7 C'(x)=9x; 10 units cost $171.99 X Write the…

A:

Q: per 59. Mixing Nuts A store sells cashews for peanuts for $1.50 per pound. The manager decides to…

A: Cashews cost =$5 per pondpeanut cost=$ 1.50 per poundmixture cost=$ 3 per pound

Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: A system of equations is inconsistent when it has no solution.that is no real numbers as variable…

Q: Evaluate the integral: √16x² 8x² O x = 16 tan(0) Ox = 4 sin(0) Ox= 16 sec (0) Ox= 16 sin(0) 0x = 4…

A:

Q: Find the derivative of the function. y = 7x-6 8x+3

A:

Q: 18. Find the volume of the largest right cylinder that can be inscribed in a cone of height 20.00…

A:

Q: Find the surface area generated by rotating the given curve about the y-axis. = 6t², y = 4t³, 0≤t≤1…

A: