Let f(x) = x5. Use logarithmic differentiation to determine the derivative. f’(2) = = ƒʼ(1) =

Q: Use the graph of g(x) to answer each question. (a) Find the domain and range of g(x). Write the…

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Q: 2. If ƒ(x) = x°e*, find f'(x) and f'(1).

A: We have to find f'(x) and f'(1).

Q: Assume that f(x) has a critical point at x = c and that f"(c) = 0. Select the correct statement. A.…

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Q: e* (1-e*) (1+х) [Iin(1-х)] 12. lim,»0

A: LetL=limx→ 0ex1-ex1+xln1-xplug x=0L=e01-e01+0ln1-0L=11-11ln1L=1.01.0L=00Which is undetrminat…

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Q: Find the flux of F across S, F N dS where N is the upward unit normal vector to S. F(x, y, z) = 10i…

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Q: 1. Find dy for each of the following: dx 2-x2 a) y= In² 1+x y = Vx+e* c) y = 52r+3

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Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 16 + x²-y²…

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Q: Find the center of mass of the region bounded by y=2sin(2x),y=0y=2sin⁡(2x),y=0 on the interval…

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Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

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Q: 3. (a) y(8) when y=cos 2x 2 (b) y(9) when y=3 cos t 3

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Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min.…

A: We know volume of a sphere of radius r is, V= (4/3)πr³ Doing implicit differentiation on both sides…

Q: aplace Ul 1. f(t) = t 0 <t< 2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: y" - y " -2y' = 0 O y = cje* + c2 + C3e2* O y = cje* + cze* + cze2*

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Q: SET-UP ONLY the definite integral that will give the area of the region bounded by y = x +1 and x =…

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Q: 1 dx x² +1 e +

A: solution:-∫02ex+1x2+1dx=∫02exdx+∫021x2+1dx=ex02+tan-1x02=e2-e0+tan-12-tan-10=e2-1+tan-12     Ans

Q: The function f(x) = −2x³+3x²+36x has two critical points, c₁ and c₂. Find them and use the second…

A: We need to find and classify critical points.

Q: Use the power series E(-19^x", \xl < 1 n-0 to find a power series for the function, centered at 0.…

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Q: Please

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Q: Find the area of the surface generated by revolving the curve about the given axis. x = 2 cos(0), y…

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Q: Find f"(3) * S(x) = 3*+1 107.403 322.210 97.763 38.917

A: Given, f(x)=3x+1 To be found : f"'(3)

Q: When multiplied out, what are the first 4 terms of (x + 3y)0?

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: Problems for Accumulation: 2. Accumulate P20,000 for 3 years at 7% simple interest.

A: A detailed solution is given below.

Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Q2:Find the Laplace of the 1- cos(2t) 1. f(t) = t

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Q: Find the slope of the equation at the point (2,2) * x²y = 8 O -1/2

A: Slope of a equation y=fx at a point a,b  is given by dydx(x,y)=(a,b)=df(x)dx(x,y)=(a,b)As per…

Q: 1) Find the Taylor series for f(x) = ln x centered at 3. Show All Your Work.

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Q: 2/3' 2/2, Suppose 3z? + 2y² + z² = 1 and z = g(x, y) > 0. Determine g, ) and gy 2/3' 2/2

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Q: Evaluate:* x + 4x lim x4x2 + 2x - 8 4/5 1/2 2/3 3/4 Differentiate with respect to x: * y = sec(x² +…

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Q: Find d (7ª). Type In(x) for the natural logartihtm function. dx

A: Given query is to find derivative if the expression.

Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: 42 2.

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Q: The divergence test applied to the series 4k (7k + 9)* tells us that the series converges.

A: Given: Here,              ak=4k(7k+9)3≈4k73k3=473k2=bk(say) Now,                 limk→∞ akbk=limk→∞…

Q: Opposite of a vector and subtraction. Click CONSTRUCT and draw in a new vector that shows CD - AB. D

A: HERE  red show resultunt  and substraction is given so we take AB to the opposite diection of given

Q: Find the radius of convergence and interval of convergence of the series. (Enter your answer as an…

A: Let's calculate radius of convergence and interval of convergence of the given series.

Q: you have two results for p= technically which one is the correct reference?

A: We have to find the value of p.

Q: determine the following log1o 10? b. log e?. c. log1o 800 с.

A: Since you have posted multiple questions i can do first three question as per our company guidelines…

Q: 09. lim, " -т(csc Tх) (Inx)| x)(Inx)]

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: polar integral to find the aren enclosed by the three-petalad rse 2) Use t r = Sin 3E

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Q: steel

A: Please refer to the image below

Q: Given f(x) find f'(x) f'(x) = 2 ¹(√2 x² + 3 In =

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Q: Find the area of the surface generated by revolving the given curve about the x- axis. y=6x, 0≤x≤ 3…

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Q: a²fa²f The two-dimensional Laplace equation + dx² = 0 describes the potentials and steady-state…

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Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: 3. If Ax) = , find f"(-1). c. 0 d. -1 a. e b. 2e

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Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given query is to find the function.

Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)