Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

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: Problems for Accumulation: 1. A businessman borrows P4,200 for 3 years at 5 1/2 % simple interest.…

A: To find out the amount that the business owner must repay.

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Q: 3. Find the compound amount and interest on P1, 500 at the end of 35 years and 9 months, if the…

A: Question number 3 has been solved as per the requirement of the student.

Q: Find the equation of a plane through the points (6, – 4, 4), (3, 6, – 4), (4, – 8, 3).

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Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+ sec? У(0) %3 — 5. | dx 2y

A: Let's solve diffrential equation.

Q: Find the following quantity if v 2i – 3j + 4k and w = - 2i+ 4j- 4k. 4v + 3w ... 4v + 3w = (…

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Q: Suppose f(x, y) = (2æ)" + 3y". Find f# (1, 1), fy(1, 1), and fyy (x, y)

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Q: Let f(x) = 3 ln(sin(x)) f''(x) =

A: topic- double derivative of a function

Q: Suppose f(x, y) = xy + 4. Compute the following values: f(x + 4y, x – 4y)= - f(xy, 6x²y³)=

A: We can find the given function .

Q: 3. Determine the 4th derivative of: y = 2x'e* [y(4) = 2e*(x³ – 12x? + 36x – 24)I

A: I am attaching image so that you understand each and every step.

Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

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Q: Q6: Solve Nhe Complex equation a, z+z + Iti = 0 3 b. Z°+ z+ Z +1 = 0 where Z= x

A: Concept: Complex numbers: A complicated equation is one that requires the use of complex numbers to…

Q: Find all the second-order partial derivatives of the following function. h(x.y) = 2x e +y +4

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Q: 1 11. lim, -2 Inx x-1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find dyldx /x+ Vx+... dy dy 2у +1 1 1 dx y - 1 dx Option 1 Option 4 dy dx y +1 dx 2у - 1 Option 3 O…

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Q: find Ahe Longth o fthe cerc 2 froom @aobo @-

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Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

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Q: polar of a point are giv the pon R/2 R/2 6f 4 4 2 2 -6 -2 4 6 -2 -4 R/2 R/2 6. 4 4 -6 -4 2 -6 -2…

A: Topic = Geometry

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: Find all the second order partial derivatives of g(x,y) = x+y+ 3 sin (y) + 4y cos (x). a²g n

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Q: 7. (a) y(4) when y= 2ln 30 (b) y() ; In 2t when y = 3

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

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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: Consider the level surface given by 2a? + 5y + 2? 4. Match the slices with their correct plots…

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Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

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Q: If there is no solution, state that there is no solution and explain why.

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

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Q: CROSS OUT the graphs that have a greater horizontal magnitude than a vertical magnitude. т Zヒzレ ビビ

A: We have to find the graph that have a greater horizontal magnitude than a vertical magnitude.

Q: Exercise 195 Further problems on Leibniz's theorem 3. Determine the 4th derivative of: y = 2x'e*…

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Q: X+ 0.4Inx 04. limx→+o X+ 3lnx 05. lim, „(e* – 1)cosx e' – 1)cos> COSX 'x→0

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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, f, f. fx= f(x,y,z)=x-√√√²+z² (Type an exact answer, using radicals as needed.)

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

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Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

A: Let's find dimension for minimum cost of given rectangular box.

Q: 6. If y = x In 2x find y(3).

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Q: Q2:Find the Laplace of the following functions: 2. f(t) = t² sin(4t)

A: See this solution in below

Q: (x +y) dx +(x+y)dy z o

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

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Q: af For the function f(t, x) = sin (9лt + 4x), find at af at (Type an exact answer in terms of t.)…

A: topic - partial differentiation

Q: MULTIPLE CHOICE Question 5 Given the following matrices, find 2B- A. -20 5 3 2 0 and B = 17-3 4-3 1

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Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: If f(x) = 10(sin(x))", find ƒ'(2).

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Q: What is the difference between a first-order linear differential equation and a second-order linear…

A: We can explain the answer as below.

Q: Which of the following is correct? * 3 3 (3 In(x²)) = dx (3 In(x²)) = dx Option 1 O Option 2 d 6 (3…

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Q: lim X-3 x +3 -3

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…