Differentiate the function. f(x) = log1,(x7 + 1) %3D f'(x) = %3D

Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = o y(x) -

A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

Q: Find the derivative of f(y) = ee&4) (Y) f' (y) =

A: Given:      f(y) = ee^(y^4) 

Q: The derivative of the function y = x(tan-(3x))? is: Lan"as (1n)tan a the above the above tan"oa + (1...

A: This question is based on chain rule differentiation.

Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

A: The Maclaurin series expansion of ln (1-x) is: f(x)=-x-x22-x33-x44-...          ...(1) And is conver...

Q: A. Evaluate the indefinite integral. S(2x+5)dx , and • Identify what is the u=? and du=? Show the co...

A: Solve the indefinite integral in complete solution

Q: Given F(2) = 4, F'(2) = 2, F(4) = 2, F'(4) = 7 and G(2) = 4, G' (2) = 1, G(4) = 1, G' (4) = 2, find ...

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Q: Find the area of the region that lies inside r = 2 + cos 2θ but outside the curve r = 2 + sin θ

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Q: For positive numbers a and b, the interval 0 < x < 6 Find the maximum value of the function f(x) = x...

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Q: Find the radius of convergence and the interval of convergence. E(-1)* *(x+9)2k+1 k2 + 9 o+ 9 k=1 Ra...

A: radius of convergence and interval

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2, 1sy...

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Q: Consider the given function m (x) = - 3x - 15x +148. (a) Write the function in vertex form. (b) Iden...

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3) Fo...

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83

Q: Let f(x, y) = (- (3z + y))°. Then

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Q: Suppose a population of size N is exposed to a contagious disease. If t is the time in days and y is...

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Q: At the start of 2010, an online social group had 360 million members. Subsequently, new members join...

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Q: Given the function s(x) and the following information: 1. s(-7) = 5 2. s'(x) > 3 on [-7, 2] Which of...

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Q: The radius of a circular oil spill after t minutes is given by r(t) = V4t. Find the instantaneous ra...

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Q: : Find Sin 1(2-2i)

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Q: Part 1 of 4 Show that v = ai + bj is perpendicular to the line ax + by = c by establishing that the ...

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Q: 4.Prove that the circumference of a circle with radius =2a is 4na by using the formula for the lengt...

A: Circference of circle is 2πr

Q: Use long division to divide. Express any numbers as integers simplified fractions. or x+2

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Q: Correct. Use the ratio test for absolute convergence to determine whether the series converges or di...

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Q: Derivatives y'0 y' 0, y">0 y'>0, y''>0 y'>0, y" 0 y'>0, y"3 .... Choose the correct graph below. 4,

A: topic - curve

Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^8+9xy=...

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Q: Evaluate the iterated integral. z sin(x) dy dz dx

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Q: Ou/ Find CoW for the following functions

A: As per Bartleby guideline, we have answered only the first complete question. If you want to get the...

Q: A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 ...

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Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between 9:0...

A: The temperature on a particular summer day between 9:00 am and 10:00 pm is modeled by the following ...

Q: Find the equation of the Line tangent of xy-y^3 =-6 at the point (2,2) Find the equation of the lin...

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Q: Example Evaluate dx p:

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Q: C Given: angle B = 92.5 degrees, side a = 40 cm and side b = 58 cm. Determine the measure of angle A...

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Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: find y' and y'' y=e^2e^x

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Q: (х — Зу + 3)dх + (3х + у + 9)dy %3D 0

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Q: QUESTION 8 Determina la razón de cambio promedio (ARC) de la función f (x) =x +x4 entre x 0 y x 2

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Q: iven k (x) = 3 (x + 3)² -2, perform the following. Part: 0/3 Part 1 of 3 (a) Identify the power func...

A: (a) The parent function for k(x) = 3(x+3)^3 -2 is the power function y=3  

Q: Exercise 5. (From Ira Rosenholz in the Problems Section of the Mathematics Magazine, Vol. 60 NO. 1, ...

A: This is a problem of maxima and minima of the function. Based on the first and second derivative tes...

Q: Find the linearization L(x) of f(x) at x = a. f(x) = a = 0 4x +3

A: topic - linearization of a function

Q: Find the derivative. 5+ sec q 5- sec q

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Q: the integral S(x³ – 2x – 1)e-*+1dx is equal to:

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Q: Evaluate the integral. (Use C for the constant of integration.) 6 + du 2

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Q: f(t) = – 29 cos (t) + 78 %3D Find the average temperature from month 2 to month 6

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Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +...

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Q: If A is a positive definite matrix and B is positive semi-definite, show that trace (AB) 2 0 with eq...

A: A is positive definite means A has inverse

Q: (x – 6)? (y – 4)? = 1 Given the ellipse 4 25 Find the center point: (6,4) List the four vertices:

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Q: 1. Market research for a certain ice cream company indicates that if the price per cup of ice cream ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: =D1

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Q: Find the partial derivatives of the function -lz + 2y 2 + 2y f(z, y) = S-(E, y) = fy(z,y) =

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