xp x[1+ (In x)²] 5.

Q: The graph of y= sin(x) shifts T units to the left and units upward. Which of the following functions…

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Q: Find the f"(x). Given: f(x) = (3x + 1)(2x – 1)

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Q: C. Find y" for the following functions a. y-3y-x = 0 b. x + 4y2 = 12 C xy COs y

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Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: Evaluate the given integrals. 1. cos 2x dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Experimental data on the nitrogen content of soil samples taken from a field used for vegetation was…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Find the particular solution to the differential equation d?y = 4e* + 3x² dx2 dy given y = -3 and dx…

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Q: Evaluate the limit 25 — b lim b→25 5 – vb

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Q: Discuss the symmetry of the graph of each polynomial function. 1. f(x)=2x 3. f(x)=-x' 5. f(x)=(x-3)*…

A: Given Polynomial f(x)=2x f(x)=x2+1 f(x)=-x3 f(x)=x4-x

Q: Find all solutions to the equation: [cos(x) + 1][2cos(x)– /3]=0. Bx equals fraction numerator 3…

A: Here, the given equation is: [cos(x)+1][2cos(x)-3]=0⇒cos(x)+1=0 or 2cos(x)-3=0⇒cos(x)=-1 ot…

Q: Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for…

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Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

A: See this solution in below

Q: 17. If you knowf (0) = 625 and f(4) = 16 then: (a) Find a formula for f(x) assuming that it is…

A: In this question, we want to find a linear function f(x) which satisfy the given conditions.

Q: Find the FIFTH DERIVATIVE Given: f (t)

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Q: Evaluate the following integral: 10x dx O 2

A: Integration

Q: dx cot 2x cos 2x 4,

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Q: nd 4 and using L'Hôpttal's Rule.

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Q: Evaluate the following integrals. 1.) Sdv csc 3v 2.) S cot 9x dx

A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: ydy -7-8-4 2.

A: Topic:- integration

Q: Convert to a polar 13. (0,-4)

A: Given, (x,y)=(0,-4)

Q: 3. X sinx eas x dx 2.

A: To find out the integration.

Q: Convert to a polar coordinates. Show work. 13. (0,-4) |

A: polar coordinate

Q: 11. Given the functions: g(x) = tn(4 – x) and h(x) = 4 – x² find and simplify the following: (a) h(x…

A:

Q: Find the critical points of the function x -8x2 О 0,2, -2 O 0, 1 О 1,2, 3 this function does not…

A: Solution: Let f(x) = x4 - 8x2 find where f'(x) is equal to zero or undefined  f'(x) = 4x3 - 16x

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

A:

Q: cos(0)tan(8) sec? (ө) — 1 is written in terms of sin(e) only and simplified, what is the resulting…

A: Topic:- trigonometry

Q: Q1: Find The Fourier series for the function defined by 0 <x < 41 -4 <x< 0J f(x) = {* - %

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Q: 10) у - еx3 In x

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Q: D. Define the multiplication operation * as modulo 10 in G = {1, 3, 5, 7,}. Cr table for this.…

A: Topic:- algebra

Q: Area under the curve x + y = 3 and the coordinate axis

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Q: 4-2y -2 dx dzdy

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Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

Q: Given the surface 9x^2 − 4z^2 = 9y. 1. Find its traces on each coordinate plane and on the planes…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: Area under the curve y2 = 4x from x=1 to x=4

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Q: What is the exact value of cos(2u) if cot (u) = where sin(u) <0? 12 (A 37 35 B 37 12 37 35 37

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Q: 3. General solution of x dy = (2xe* – y + 6x²) dx

A: The given differential equation,     x dy=2xex-y+6x2dx

Q: dx kx, x(t,)=x, dt where k is a constant of proportionality, serves as a model for diverse phenomena…

A: Topic:- function

Q: QUESTION 3 The function r(x) is defined as follows: - 2x, x<-1 r(x)= 3x, x2-1 Determine whether r(x)…

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Q: Determine the exact solution of the following differential equation y =2- y at y(0) -1. So the value…

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Q: The surface area of the solid of revolution of the region bounded by y = 2x, x = O and x = 2 about x…

A: Given: y=2x We know that surface area of solid of revolution about x-axis over the interval [a,b] is…

Q: For the first 10 days in December a plant cell grew in such a way that t days after December 1 the…

A: use derivative  to evaluate the volume

Q: y dy dx

A:

Q: Determine the exact solution of the following differential equation y = 2 - y at y(0) =1. So the…

A: See this solution in below

Q: Find the firsst derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and the first partial…

A: Given:       y=arctan3sinx4+5cosx First derivative:     dydx=ddxarctan3sinx4+5cosx…

Q: dx sin" 3x tan 3x

A: The objective of the question is evaluate the indefinite integral.

Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: Calculate the following limit: lim( lim(3) e-5z+6 2-9 O 1/6 0 1 O does not exist

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Q: A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine the…

A: