1 Use the fact that the derivative of the function g(x)=√x is g'(x) = - to find the equation of the tangent line to the graph of g(x) at the point x = 64. 2√x The equation of the tangent line is y = (Simplify your answer.)

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A: The graph of function f(x) is given,The aim is to write the equation of the function f(x).

Q: hello can someone please help me with this calculus question, thank you!

A: The objective of this question is to determine the values of p for which the series Σ (from n=1 to…

Q: Help

A: ​Slope of tangent line, mT​=−23​​Explanation:Step 1:​Parametric curve {x=2cos(t)y=3sin(t)​ at the…

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A: solution surface area =6π​(1313​−1)  sq unit Explanation:Step 1:Step 2:Step 3: Step 4:

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Q: 4. Consider t²y"-3ty' +4y=t² Int. Given that y₁ =1², y₂ =1² Int form a fundamental set of solutions…

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Q: Find the area of triangle XYZ if ZY = 30°, z=9 and x = 5.

A: For given triangle XYZ∠Y=30∘.z=9 and x=5.

Q: 1. Identify each of the following functions as, Linear, Quadratic, Cubic, Power, Rational, or as a…

A: d) f(x)=x5e) f(x)= x3(x-2)(x+3)f) f(x)=x3

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A: Given y = tan(3x + 4 ) dy/dx = d ( tan(3x + 4)) /dxdy/dx = sec2 (3x + 4 ) (3)

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A: The volume of the given solid is : V=3(250−1252​)π​Explanation:

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A: Therefore,v=−3i^+33​j^​Explanation:Step 1: Let v=vx​i^+vy​j^​ a vector that makes an angle θ with…

Q: 3. Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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A: a)  9t + sin(3t)U(t − 2π) + e8(t−4π)U(t − 4π)b) F(s) = s29​+s2+93​+s−8e−32π​Explanation:a) To…

Q: Let y=5 sqaure root xFind the change in y, Δy when x=3 and Δx=0.1  Find the differential dy when x=3…

A: ​(a) Δy=0.143(b) dy=0.144​Explanation:Step 1:​y=5x​ (a)…

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A: The correct option is b. The area is 14 unit squared.Explanation:Kindly see attached photo for your…

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A: d) The series is divergentExplanation:

Q: Find Düg(1, −1) where g(x, y) = e−(x²+y²) and u is the unit vector parallel to .

A: To find  is the unit vector parallel to .

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A: Need to find out the value of a.

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A: The objective of this question is to find the cosine of angle A in a triangle ABC, given the lengths…

Q: Consider the following. f(x, y, z) = 4x (a) Express the triple integral (b) Evaluate the iterated…

A: ∫−11​∫01−x2​∫02−z​(4x)dydxdxb)value of this iterated integral is 0 Explanation:

Q: Precalculus Question(5)

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

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A:

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Q: Find volume V. Use cylindrical or spherical coordinates.

A: Final SolutionSo, the volume V of the solid region inside the cone z=r and between the planes z=1…

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A: Option a is correct i.e To the left and up Explanation:Step 1: Step 2:

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A: we will find the marginal supply and given parts.

Q: I am needing assitance with the problem in the attached image, 3.5.

A: f′(t)=−4t−9Explanation:

Q: PLS DO PART D ASAP

A: Answer:  1,−1,−1Explanation:Step 1:Step 2:Step 3: In last column three entries are 1,−1,−1

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A: The perimeter of the Kasia's watermelon field is :

Q: Given sin(x) = =- -2√17 O 81 -16/17 о 81 -8√5 O 9 16/17 0 81 2/17 81 89 with 180° <x<270°. Find…

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Q: Calculate the double integral. 11x sin(x + y) dA, R = 8-01 ×

A: Given:To find:Evaluate the integral

Q: Homework

A: The interval value of x that covers the region is [2, 5]. Explanation:For number 1:Graphing the…

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A: Hello Dear,I hope the following information will help you in understanding the…

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Q: Use the Product Rule to differentiate the function. f(x) = x² cos(x)

A: f(x)=x7cos⁡(x)f′(x)=ddx(x7cos⁡(x))Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

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A: The given differential equation is

Q: 13

A: Explanation is given below.Explanation: Please comment down for any doubts. I hope my answer helps…

Q: 1. Identify each of the following functions as, Linear, Quadratic, Cubic, Power, Rational, or as a…

A:

Q: 1. Given the following matrix: -13 0 t² - F = 6 -8 7 t 2 -7 Determine answers to the following: a.…

A: The objective of the question is to determine the dimensions of the given matrix and to calculate…

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A: The objective of the first problem is to find the solution to the given second order homogeneous…

Q: Consider the function f(x)= 3-6x^2. -3 is less than or equal to x and x is less than or equal to two…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: Given vectors = (5,-3) and = (-3, -6); find 4u - 4v. 0 = (8,36) O v = (32, 12) O=(-12,-32)…

A: The objective of this question is to find the result of the operation 4u - 4v, where u and v are…

Q: Given vectors = (12,5) and v= (3,-3); find the angle between these vectors. -7√2 O arccos 26 17/2 O…

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Q: Which set of inequalities describes the shaded region in the following graph? 2.5 2 1.5 0.5 (0, 3)…

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Q: Please explain all your steps in detail for more understanding. Thanks

A: The objective of this question is to find the derivative of the function f(x) = 2e^(2x) at the point…

Q: Find all local extrema using the second derivative test. Show all work for full credit. Make sure to…

A: 1. f(x)=9x5−9x3f(x) has a local minimum at x=53​​​​ because f′′(x)&gt;0.f(x) has a local maximum at…