Differentiate the following functions using logarithmic differentiation y = log√2x + 5

Q: Which among the following is an even function     x2 + 1     (x + 1)2     x2 + x     (x +…

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Q: Integrate completely

A: Solution-

Q: cosßdß 2+3sinß

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Q: POPULATION DYNAMICS Assume that the population of the greater roadrunner in the Guadelope Desert was…

A: Given that: K=750, r=0.25. Initial population N0=250.   Population formula is = Nt=K1+K-N0N0e-rt.…

Q: sing the four step rule, find the derivative of y = tan(x) %3D

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Q: 4. Evaluate: lim (x,y)→(3,2) x cOS TY

A: To evaluate the limit of the given function, substitute x=3 and y=2  in the given function.

Q: 3. Let x² – y? x2 + y2 - f(x, y) Determine the limit of f(x, y) as (x, y) approaches (0,0) along the…

A: To find the limit of a function in two variables

Q: HOMEWORK 2 The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the…

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Q: FREE RESPONSE Fictured below is a table of values that represents the graph of an exponential…

A: a) From the table we get take points: -3, 4.333, -2, 5, -1, 6. We plug them in the exponential…

Q: Find the critical points of the function 11/4 16 3/4 f() = 33 Use a comma to separate multiple…

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Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: Given that f(x) = z"h(z) h( – 1) = 2 h'(– 1) = 5 Calculate f'(- 1).

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Q: The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the first 20…

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

Q: I only need C & D. I've already done a & b

A: c) From the table we get take points: -3, 4.333, -2, 5, -1, 6. We plug them in the exponential…

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 2 cos(t)i +11 sin(t)j+…

A: A detailed solution is given below

Q: х ах 13. S- (6х-x2-5)2 3

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Q: Which among the following will result from the evaluation of limit below? lim,0 where m =n. Bg ath…

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Q: b. ƒ(x) = x² ln x + sec x; find f"(x). c. f(x)= x³ sin x; find f(4)(x).

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Q: (2x² + 5, if x 5 Consider the function h(x) = Find the value of B such that h(x) is continuous at x…

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Q: Maxima/Minima Classify all the critical point(s) of f(x, y) = 2a3 + 6xy? – 3 – 158iad maximum and…

A: The given function is;  f(x)=2x3+6xy2-3y3-150x.

Q: 33 2Vx- f (x) (1–3t) (t³-8) T Sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x g(t) = t # 2 2-t

A: Given:

Q: Find the derivative of the following functions and simply it whenever possible. 5. y = 4x ln 4x

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Lagrange Multipliers Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, 2) =…

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Q: The head of the vector v is pointed at (7,-2) denote it by A and the tail of the vector v is located…

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Q: (2) Find the full Fourier series for the periodic function ƒ : R → R defined by ƒ(x) = 1+ |æ| on the…

A: the fourier series expansion is as follow

Q: Find the derivative of the following functions and simply it whenever possible. 6. y = ln(ln sec x)

A: The given function is y =lnlnsecx We have to find derivative of the function. We know derivative of…

Q: 3. Determination of integrating factors: 2y(x+ y+2)dx +(y² - x² -4x-1)dy = 0

A: The given differential equation is  2y(x+y+2)dx+(y2-x2-4x-1) dy=0. Repost the next question.

Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

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Q: 2. Find the maximum value of the directional derivative, D f, of the function _2 f(x, y, z) = x´ +…

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Q: iven that y = sin? (t) and x = cos ( 4t?), hence find dx dy a. 8t sin (8t) sin 2t 8t sin ( 8t2 ) b.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The 3rd term of an arithmetic series is 34 and the 17th term is -8. Find the sum of the first 20…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: (1-2=) dr

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Q: A line is tangent to y = -4Vx when x = 1. What is the coefficient of x when the line is in the form…

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Q: Find the vector component of v Enter the exact answers. (4, – 1, 7) along b = (2, 3, -6) and the…

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Q: Which among the choices is not true about the continuity of f(x)? -5 f(x) = %3D x-4 There is an…

A: Given query is to find the incorrect statement.

Q: A projectile is fired vertically upward with an initial velocity of 64 ft/s from an initial height…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Given

Q: Integrate completely

A: Given,             ∫2x+12x-53dx

Q: (x³ + 4, if x 2] Consider the function f(x) = Find the value of D such that f(x) is continuous at x…

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Q: dy The linear differential equation dx 2 has the integrating factor equal to (Note: Simplify or…

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Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: a) Determine whether the following differential equation is a type of linear equation or not, i.…

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Q: Using partial fractions, we can rewrite the equation as 1 dN = dt rN 50000r - rN dN Or rN 50000r –rN…

A: Here we have to use the concept of integration.

Q: Consider a triangle ABC like the one below. Suppose that a=31, b= 68, and c=51. (The figure is not…

A: To solve the following problem to find the angles

Q: II. Solve the following problems completely. 4. Substitution Suggested by the Equation:…

A: We can solve the given differential equation by using the substitution u =x+2y

Q: V1- a² dx a) The integral above corresponds to the sum of the two shaded areas on the right. What is…

A: Let's find.

Q: For the functions f(x) = xeX 1. The minimum value of the function occurs when x = 2. A point of…

A: Note that, the function if decreasing when f'(x)<0  it is concave upwards if f''(x)>0.

Q: Write the equation of a sine or cosine function to describe the graph. Ty 3 3 3 3 -1+ -2+

A: topic- trigonometric functions

Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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