Use logarithmic differentiation to find dy/dx. y = x6/x dy %3D dx II

Q: Evaluate | sin(In t) dt. t sin(In t) – t cos (In t) -t sin(In t) – t cos (In t) . . 2 2 O Option 1…

A: Substitute u=ln(t) ⟶ du/dt=1/t dt = tdu t = eu ∫ eusinudu we use integration by parts ∫fg′=fg−∫f′g f…

Q: Given: In(1+ x) (-1)" xn+1 _if |x| < 1 n + 1 n=0 (-1)"(n + 2) 2n+1(n + 1) Compute the exact value of…

A: Solving

Q: Assume s is an angle with sin (s) = . t is an angle with cos (1) = and both angles are between 0 and…

A: We have to find the given trigonometric quantity.

Q: A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) Find the…

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Q: Apply region based segmentation for the sequence: F={7,5,9,1,10,2,9,12,4,11,3,17,16,19,15}…

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Q: Consider the following. 1 ifx = if x = 1 x²- 1 F(x) =

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Q: The population of an unknown bacteria in an experimental culture is estimated by the population…

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Q: Type the correct answer in the box. Use numer. What value of x satisfies this equation? log,6r – 8)…

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Q: Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: (0 if –2…

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Q: 2. A small business owner creates and sells x bars of handmade soap per month. The monthly profit…

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Q: 3 5 where x and Зл < y < 2n. Assume that sin (x) = sin (y) = - Calculate cos (x – y). (Give an exact…

A: Here, sin x=35; π2&lt;x&lt;π⇒cos x=-1-sin2x=-1-352=-1-925=-25-925=-1625=-45 And, sin y=-56;…

Q: Write the polynomial as the product of linear and quadratic factors that are irreducible over the…

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Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

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Q: Evaluate * | (0² + 1) cos 0 d0. e2sine + 20cose – sine + c 02sine – 20cos0 – sine + c Option 1…

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Q: sin r da 4.

A: I am attaching image so that you understand each and every step.

Q: Find 3x? arctan x dx.

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Q: Evaluate* e/x dx. x3 1 1 еx 1 ex 1 еx + с + ex + c - Option 3 Option 2 1 ex 1 еx 1 еx + с + ex + с -…

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Q: (2x – 1,x < 0 a,x = 0 0. Let f(x) = x+b Find, if any, a and b such that fhas limit for all x but not…

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Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

Q: 5. Evaluate: (а) ( 5х*-х-4) dx (Б) Г(2х+4)(3х +6)dx

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Q: Air is being pumped into a spherical ballon at a rate of 4 cm3/min. Determine the rate at which the…

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Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let's find.

Q: Assume s is an angle with sin (s) = .t is an angle with cos (1) =. and both angles are between 0 and…

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: x2-9x+207x3+19x2 =x2-9x+20(7x+19)x2x2 can not be further simplified !!Because (x)2 has an exponent…

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 8 y + 3 = z +…

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Q: dy A9. If xy- cos x = 1, then dx シーsinx ソ+cosx -y+cos x y+sin x (b) (d)

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Q: Find the limiting values of 3x2 + 5x - 4 (i) as x → 00 5x? - x + 7

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: n evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth…

A: Given query is to find the solution of the differential equation.

Q: Find the inflection points of f(x)=2x^4+19x^3−15x^2+1 (Give your answers as a comma separated list,…

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Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

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Q: A2. If y = In10 10* then y'= %3D (a) x. 10*-1 (b) x10. In10 (c) 1 L 10* Ina

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Q: Find the absolute maximum and absolute minimum values of the function F(x)=x^3+6x^2−63x+3 a.…

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Q: Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

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Q: Find the limit. (If you need to use o or -oo, enter INFINITY or -INFINITY, respectively. Round your…

A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

Q: d² (¤Arctan x dx?

A: To find the following derivative of the given function.d2dx2x arctan x

Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find all…

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Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: 1 Given Perimeter of a rectangle is 130ft Find length and width which will give Maximum Area

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Q: Find the length of the curve 1 13x52 16 2x2

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Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 %3D

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Q: Solve the inequality 36x –x<0 and write the solution set in interval notation.

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Q: Referring to the graph above, which of the following statements is correct: 1. f″(x) 0 for all x

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (5,…

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Q: State whether the following numbers are rational or irrational. a) V4+7/2 b) V36 c) V112510716

A: Given: a)4+72b)236c)112510716

Q: Suppose sin (a) : and the trigonometric point P(a) is in the third quadrant. Use a trigonometric…

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Q: 7. * In [In (In æ)]

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Q: 5. The rate at which the total monthly profit is changing is given by P'(t) where t is number of…

A: The solution is given below.

Q: If the function /6- 830 is continuous at x=0, then a- 1+2acosx D a 1 6 -1

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