Use logarithmic differentiation to find the derivative of the function. х — 5 y = x° + 5

Q: (-2) = –3, g'(-2) = 6, (f g)'(-2) = 15. Find g(-2) %3D

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

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Q: sy (2 where yco,t) = y (5,t) = 0 = 2Jx2 and y (x, o) = 10 sin 4T X - 32 t |Anst y cx,+) = 1o e" sin ...

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Q: cot a 1. lim -0- CSC 3 2. lim e2r - 4 3. lim ln 2 r - ln 2

A: To evaualte the following limits by L'Hospital's rule. 1 limx→0- 1-cot xcsc x2 limx→+∞ 1-3x2x3 limx→...

Q: The Pacific halibut fishery has been modeled by the differential equation dt where y(t) Is the bioma...

A: the solution of equation y(t) = M/(1+Ae-kt) where A = (M - y(0))/y(0)            A = (9 * 107 - 2*10...

Q: Determine where, if anywhere, the function f(x) = x3 + 9x2 − 48x + 2 is not changing.

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Q: x sir

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Q: Q1 Choose only two: x+5 12+3x - 2. VI

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Q: Find the phase shift of the function y = -sec(2x + T) 2 2 -2TT 2TT

A: Topic:- trigonometry 

Q: 2 4n = (z - 6)° + (z- 6)* (т — 6)° 25 - 3! (x – 6)8 125 - 4! +... 5- 2! Find an expression for an an...

A: Question is solved.

Q: n/4_sec²x a. Jo dx 1-tanx

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Q: Find the Fourier series of the following waveform: f(t) 2 ... -T -T/2 T/2 T Which is defined as 2t f...

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co o...

A: The given series is: ∑n=1∞(n!)n(nn)8

Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: Find the solution to the differential equation y' =    2y satisfying y(0) = 18.   y(t) =    b). F...

A: Topic:- differential

Q: Let f(x) = 2x° + 20x + 3. a. Find the values of x for which the slope of the curve y=f(x) is 0. b. F...

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Q: 7. Three pipes, each of radius 4 in, are stacked as shown. What is the height of the stack? 1911 EDI

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Q: 1. Find the work done by the force F(x, y, z) = (xz, z² – x, y ), along C, the curve defined by x = ...

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Q: dx x-1

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Q: Discuss the solution of piven ODE in form of table x* - y ;y(0) = 1 take h = (0.05 in the interval [...

A: Using euler method. 

Q: Use Stokes’ Theorem to evaluate the closed loop line integral F*dr where F(x,y,z) = xi + yj + 3(x^2+...

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Q: A- Use the fixed point and Newton-Raphson methods to estimate the root of the function, employing to...

A: We have to find Root of the function by both methods. 

Q: Consider vectors u and v. u = 4i + 2j,  v = 2i + 3j a.) Find the vector projection w = projuv of vec...

A: Us vector and scalar projection formula

Q: 2п +1 Е. У Зп +2 n=0

A: ∑n=0∞2n+13n+2    Thus,  an=2n+13n+2    Thus, we can proceed further with ratio test

Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

A: The given function,   f(x)=eax

Q: In the quadratic equation Ax2+ Bx + C=0 describe the roots when 32 -4AC is negative. The roots are r...

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Q: Given f(x,y) = eX cos y, Evaluate fy(2,0) O cos 2 O sin 2

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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: 1. Decide the limit: lim 2x + 3 X-3 2. Explanation 3. Can the function f(x) = 2x + 3 attain the limi...

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Q: The integral of Cos x with respect to * A cos x +c B -sin x +c (c) sin x +c D) sec x +c

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Q: 22. If y = x+4 then what is 4Y? dx dy a. 4x(x + 4) dy С. dx -4Vx + 8 dx dy b. dx =-4(x + 4)= d. dx 8...

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Q: 3x²–10xy+3y²–32= 0 Rotate the axes so that the new equation contains no xy term. Analyze and graph t...

A: Given .  Equation 3x²-10xy+3y²-32=0 Let's assume that axis is rotate an angle theta. So new coordina...

Q: Question 2 tan (0) Insec(0) do A -Incos (0) + C 2 B - (Insin(@)) ² + C - (Intan( @)) ² + C D (Insec(...

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Q: 13 The polynomial equation x4 - 6x3 + 10x2 + 2x - 15 = 0 has solution set _____. {3 + i, 2 - i, 3,...

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Q: c) Find the inputs that generate a horizontal tangent line. x2 y = X-1

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Q: b) y = sec x tan x

A: Given the functiony=secxtanx

Q: Find the derivative of the vector function below r(x) = sin°(secx ?)i +csc'(Vx² +1)j +8tan(x ²) k

A: Given: - The vector function is, r(x)=sin2secx2 i+csc3x2+1j+8tan(x2)k To find: -The derivative of th...

Q: St Joseph's church has a fund-raising valentine's dinner  to renovate their church.   Their account...

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Q: Which of the following functions have a 4th derivative different from itself? ex sin x CoS X

A: In this question, we need to find which of the given functions have a 4th derivative different from ...

Q: Find the solution of the differential equation that satisfies the given initial condition. dL dt = k...

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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: Convert each degree measure into radians. 13) -780° 14) 345° 15) 150° 16) -250°

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: If y = sin (4x - 5), then what is y' a. y = 4 cos (4x - 5) b. y 3 сos (4x - 5) C. y' = -cos (4x) d. ...

A: In this question  we have to solve the given statements. NOTE: As per our policy we are suppose to d...

Q: For the function y =f(x), it was found out that f(c) = 0. What can be said that x=c ? critical point...

A: topic - functions

Q: evaluate the differential equation: -5y +4y =z-2+

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Q: Prove that f (x) = -16+x 4 and g(x) = = 4x + 16 are inverses. ||

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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: Select all that apply. Select the functions whose value is undefined. sec 90° cot 90° sin 270° cos...

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

Q: Evaluate the integral. Show all of your work. 10 (x-1)(x² +16)

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Q: Q3 Find domain and range for the following equations: 1) f(x) = 1- V, 2) f(x) = 3) f (x) = 4) f (x) ...

A: 1)f(x) = 1-xx is not defined for x<0.Domain: [0, ∞)f(x) will have maximum value 1.Range: (-∞, 1)2...