Find the derivative, y', of the function y = sinh(lnx) - cosh(lnx) O y = 0 O y = 1 Oy = 2/ 0 y = 2/1/20

Q: Estimate using the linearization L(x) of f(x)=√√ at a = at a = 49. (Use decimal notation. Give your…

A: Given that , fx=1x Estimate 152 using the linearization Lx of fx at a=49.

Q: and x³ and y = √√√x. Find the area enclosed between the curves y = x³

A: We can find the area between the curves.

Q: Consider f(x) = 5x + 4 and g(x) = x² + 4x − 21. • You must combine all like terms before you submit…

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

Q: 65. Find limx→ f(x) if 23m 4x - 1 intox ob vdW for all x > 5. · <f(x) < S+x81 4x² + 3x 2 x²

A: Here we have to find the limit.

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -2…

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Q: Is this the answer

A: Note: After seeing the previous solution we observe that the student has demanded some more clear…

Q: The resistance R of a copper wire at temperature T = 30°C is R = 152. Estimate the resistance at T =…

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

Q: If x² + y² + z² = 9, dz dt = dx Š dt dy dt = 4, and = 3, find dz dt when (x, y, z) = (2, 2, 1).

A: x2+y2+z2=9 dxdt=4 and dydt=3 (x,y,z)=(2,2,1)   Differentiate the given function with respect to t:…

Q: 4) Find the equation of the tangent line to the function f(x) = 3 at x = 1. Round the slope to one…

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Q: 1 y=x2y = x, y = ४00 8

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: 1. Exponential growth and decay can be expressed as A(t) = Apekt, where A(t) = the amount at time t…

A: if  k&gt;0   ,  Exponential growth k,0   , Exponential decay

Q: still

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Q: Question 2 Let f(x, y) = 5e¹* sin(3y) af д х af dy =

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√9-x² dy

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Q: Differentiate the following. (a) y = sin(x4) (b) y = sin(x) Solution (a) If y = sin(x4), then the…

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Q: Consider the ellipse foci? (x-5)² 256 + (y-7)² = 1. From any point on the ellipse, what is the sum…

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Q: at x = a. = 9 xact form. Use symbolic notation and fractions where

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Q: Find Cross Product Find the cross product u x 7 where u = 6i +8j +8k and 7 = 6i +8j +8k and 7 = (4,…

A: Topic = Vector

Q: Which of the is the best transformation of f trigonometric substitution? Of sec 0 de Of 5 sec 0 de O…

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Q: Find the volume of the given solid. Diag 47 12 under the plane x - 2y + z = 5 and above the region…

A: The solid is under the plane is x - 2y + z = 5 and above the region bounded by x + y = 1 and x2 + y…

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

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Q: The volume of a box is 10x3 + 27x2 + 2x - 24 with the length 5x - 4 and the width 2x + 3. Find the…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given vector:- rt=2ti+etj+e-tk

Q: Kindly help me solve this question,show full and clean solution thank you.. Note: Lesson about…

A: We need to solve D.E.

Q: Evaluate the following integrals using substitution(s): Might want to use your own paper 1. S - x²…

A: According to guidelines we can solve only first question .solution:-(1)∫x31-x2 dxlet 1-x2=t,…

Q: 25. If a and h are real numbers, find the following values for the given function. The function is…

A: The numbers a and h are real numbers. The function is f(x)=x2-x+1

Q: Which of the following is true about a differentiable function f(x) whose inverse is g(x). og (2) =…

A: To find the derivative of inverse function.

Q: Given the points A: (3, — 2, 2) and B: (5, 2, 6), find the vector u = AB

A: The points are given by A3, -2, 2B5, 2, 6 To evaluate: The vector u→ = AB→.

Q: 9-14 Find the intervals on which f is increasing or decreasing, and find the local maximum and…

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: Find Vectors and Perform Vector Operations in R³ Let à = i + 27 + 3k. Find ||a||.

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Q: The line normal to the graph of f at the point (1,2) passes through the point (-1,1).  Which of the…

A: Topic = Functions

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A: Given s(t) =2t3-92t2 -60t +3the total distance travell during the first 6 sec = d

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: r(t) = (0,8 cos³ 10t, 8 sin³10t), ≤ t ≤ 4

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

Q: Let f(x)=x²-3x - 2380, x>0.75. Find the value of df-1 dx df-1 At x = 0, dx (Type an exact answer in…

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Q: a) y = cos 2x on [0,1] b) x= on [1,10]

A: 6) a) y=cos(2x) on [0,π] the length of the curve is given by  L=∫ab(1+f'(x)2) dx here f(x)=cos(2x)…

Q: 2. An equation like sin2 ? + cos2 ? = 1 is an identity because it is true for all values of θ. If…

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Q: Find an equation of the tangent line to the curve at the point (1, 1). y In(xex*) y =

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Q: 1. Suppose that the quantity r is 1000's, and price p in dollars are related by the price demand…

A: The given price-demand equation is, x2+5px+10p=220

Q: i am just very confused, i know all of this is correct but i dont know the basic rules of sets

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Q: Find y': y = arc cos 0 = -√2 O y Oy=-1/72 V Oy= Oy=-- 9-1² 3

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Q: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another…

A: Topic -Mean Value theorem We are given, Initial speed of car =0mi/hr Final speed of car= 60 mi/hr…

Q: Find the point on the ellipse x² + 4y² + 2xy = 12 with the greatest x-coordinate.

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find the minimum and maximum values of the function f(x, y) = x² + y² subject to the constrai (Use…

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Q: Find the standard equation of the sphere that has the point (1, — 6, 2) and (3, 5, 6) as endpoints…

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Q: Late 73. Use Definition 6 to prove that lim —— 0.

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Q: A population of bacteria grows to twice its original amount in 3 hours. How long will it take to…

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Q: The resistance R of a copper wire at temperature T = 23 °C is R = 1792. Estimate the resistance at T…

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