Use logarithmic differentiation to find the derivative of the function. X - 5 y = x° + 5 .8

Q: Simplify the expression cos2x + cos x + sin2 x + 1

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Q: Two cars start moving from the same point. One travels south at 20 mi/h and the other travels west a...

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

Q: 44

A: Please refer to the image below

Q: 11/4 x 2 2/5 ÷ (11/4 + 21/12) =

A: The given expression,       114×225÷114+2112

Q: The solution of the following separable differential equation y' = *?y-y. with y(3) = -1 is y+1 y = ...

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Q: 2 XA)=T\(x+A) Coupunonz 12. Let f(x,y)3x2+y² find the relative extremum, and determine whether it is...

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Q: If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY...

A: This is sequence and series problem

Q: Consider the series 00 (x – 6)6 + 4. 3! (x – 6)8 + 8.4! (x – 6)4 Σ а, 3 (х — 6)2 + + 2· 2! n=no Find...

A: N0=1 to infinity in summation  

Q: 1. If y = V6x + 1, then what is Y? dy? %3D dx dy a. 2(6x – 1) 3(6x + 1)7 2(6x + 1) dy С. dx %3D %3D ...

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Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min...

A: Given :radius of spherical ball is increasing at a rate of 2cm/minso, drdt=2cm/min

Q: An object is moving horizontally in a straight line. The object's position is given by the function ...

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Q: 3. Find a fundamental matrix for the following system. Then find a solution satisfying the giving in...

A: Explanation of the answer is as follows

Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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

Q: Compute the curl and divergence of the vector field F(x, y, z) = (T 2², 2yz) . Is F conservative? If...

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Q: In the quadratic equation Ax2+ Bx + C=0; describe the roots when 32 _ 4AC is positive. The roots are...

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Q: C -- -- 1. 7)=3tan(2x-45")-2 f(x) Реriod: Vertical Shift: Horizontal Shift Start: End.

A: Starting point and ending point is always infinity in tan function

Q: 6e 4x -e-2x 9. lim x→-o 8e4x –e2x+3e-x

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Q: Case 4: repeated quadratic factor (very hard!) 8dx • Example 1: r(r2+2)2

A: To evaluate: I=∫8 dxx(x2+2)2 Substitute x2+2=u⇒2x dx=du⇒dx=12xdu So, I=∫8 x(u2)du2x=4∫1x2u2du=4∫1(u-...

Q: J. E n=1 Vn 2.

A: p-test series for a series to be convergence ∑n=1∞1np will diverge if p≤1              will converge...

Q: Name the amplitude and period of y = 2sec3x 371 Amplitude: 3, Period: 2 271 Amplitude: 2, Period: 3 ...

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Q: A researcher is nunning a simulation of an upward rocket to study the upward velocity of the rocket ...

A: v = ulnmomo-qt -gtv=upward velocity 680ms                                u=fuel expelling velocity r...

Q: 2 f(x)=-2cot(x-45)+2 Period f(x) Vertical Shift Horizontal Shift Start End: Increments

A: According to question,Given function,fx = -2cotx- 45o + 2

Q: (use Loug division) | 2x'.3x² +Yx+5 +2 2X-3X +Y x +5

A: Given query is to perform long division.

Q: 5. lim e(ochr)

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Q: x sir

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 4 %3D k! k=0 4...

A: Taylor's series about x=x0 for the function ex; x0=4

Q: 240° = radians. 3 3 3 3

A: Given query is to find measure of the angle in radian.

Q: ly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it is coo...

A: Topic:- algebra

Q: A fourth degree polynomial with constant coefficients may have (1) 4 distinct real roots. (1I) 3 dis...

A: Topic:- polynomial

Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1....

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Q: do a number talk, please write out 8-10 strategies that a student would do mentally (no paper or pen...

A: The problem solved by  1. Place value with regrouping  2. Constant and difference. 3. Removal in par...

Q: F = {(-3, 0), (4, 2), (-1, 2), (2, 2)} Is F a function and why/why not? No, each set of ordered pair...

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Q: Find: Find lim           X2 + x-5        x - ∞        1 -2x - x3 Thanks

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Q: 30 Choose the best answer: tan x + cot x =

A: Given

Q: А. Σ 5n –1 n=1

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Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y − 2 y =     Graph the s...

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Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...

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Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural nu...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Match each graph type with its corresponding function. 1. y= Exponential Function 2. y= log 4x Logar...

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Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given  g(t) = lntt2+142t-15g'(t) = dlntt2+142t-15dtg'(t) = 1tt2+142t-15×dtt2+142t-15dt              ...

Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

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Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: tanwdw The is equal to 1 – tan?w A. In (Vsec2w) + C B. In (Vsec2w) +C C. In (Vsec2w) + C D. In (Vtan...

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Q: Find a formula for the area of the ellipse a2 y? =1 (where a,b>0). 62 Show and explain ALL your work...

A: lets the area A = 4∫0aydx lets write x = asin(t)   y = bsin(t) dx = acos(t)dt limit is o to π/2 A = ...

Q: Find if converging or diverging using nth term test

A: ∑n=1∞-1nn5    an = -1nn5    We can now proceed with nth term test.. 

Q: cot 0 sin 0 cos 0 =

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Q: 11 Which of the following is a factor of 2x3 + x2 - 2x – 1. x + 2 2 x – 1 x – 2 2 x + 1

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Q: second-order Taylor series expansion of function f(x)=ex g(x) at x=0 and calculate f(0,8) using this...

A: f(x,a) = f(a) + (x-a)f'(a) + (x-a)22f''(a)Here  x= 0 , a = 8So, f(a) = e8×g(0,8) = e8Since f(x) = ex...

Q: ders n = 0,1,2,3, and 4 about x = %3D X0, and then find th

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