What is the derivative of square root 2t?

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A: Plot the point (r,theta)= (-4,159) 

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A: See the details solution in below

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Q: Consider the function f(x)=x^5 - 5x^4 a. Find where the function is increasing and decreasing.   ...

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A: Given: (1)  w = 4x4+6x3y2+2x2y3+y4   (2) w  = cosh5cotxy

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Q: 7. sec2 x = 2tanx +4 8. tane = 2sine %3D

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: *Introduction to Derivatives (x²+2x-3 if x#1 (4 Using the 3 conditions, show that f(x) = is both con...

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Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequence x2 + 1 n An ...

A: Topic  - function and derivative 

Q: Find the arc length of the graph of the function f(x) : In(sin(x)) over the interval 11 7

A: Let's find. 

Q: Directions: Please write your solution on the space provided and boxed your final answer. *Introduct...

A: Topic-  continuity and differentiability 

Q: 18. Find the absolute maximum and absolute minimum values for the function f (x,y) = e-**-y* (x² + 2...

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Q: Determine whether the seauence converges ordiverges. If it conveges, find the 00°+n100+(Inn)loD an=

A: Let an=100n+n100+(ln n)100+100n+n+1

Q: 3. (a) P - 3e + 2x 32

A: By our policy, we are allowed to solve only one question at a time. Kindly repost the other question...

Q: Find the following limits: Vx²+21-5 1- lim x-2 x-2

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Q: Calculate the derivative of the following functions. Use the rules for derivatives. 1) v(x)=log5 (x...

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Q: Write a differential formula that estimates the change in the surface area S= 6x of a cube when the ...

A: Given that surface area of cube s=6x2and side length change from x0 to x0+dxsolution:x=x0  and dx=dx...

Q: Given the differential equation, its particular solution, and its wronskian y" + 1ly' + 18y = 14 e* ...

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Q: f) = In(tanx) -1 %3D

A: ddxlnarctanx  

Q: , Test for exactness and find the complete solution of (x-1) dr + In(2 - 2) + dy = 0 . Find the solu...

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Q: dx O a. dy -3y2+2x 2x +2y 2x +2y -3y +2x O. dy 3y2 - 2x 2x+2y -2x-2y dx -3y +2x %3D dx O b. dy dx dx...

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

Q: f(cos*x- sin *xkx *a

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Q: (sec A - 2)(2 csc A - 1) = 0. What quadrant does A terminate? A. IV only B. II & II C. I & IV D. I o...

A: The given equation is  sec A-22csc A-1=0

Q: Double Dominating Set. The DOUBLE DOMINATING SET Problem is: Given a graph G = (V, E), and a number ...

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Q: 3(sin y- cos y) chy cos y

A: First we use (siny - cosy) 2 =sin2 y + cos2 y -2sinycosy Then using u substitution let u =sexy + tan...

Q: x2 + 1 dx (x – 6)(x – 5)2 |

A: To solve the integration of the integrand (x2+1)/(x-6)(x-5)2 , we use partial fraction form. 

Q: EX g. Evalnab..f.x.d. wha. R.ia. the.regizn.in.the frirg t.. quadrant..bounded..Xy=16. Soluedidy

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Q: Find the following limit value. Show all work and proper limit notation. 9х + бх2 — 8х5 lim 3x2 + 8x...

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Q: #6) Deler mine whether converges diverges, Calculatk limit an n+3

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Q: Solve the equation In(x – 11) – In(x – 6) = In(x + 1). %3D

A: Here have to solve the given equation,  ln(x-11)-ln(x-6)=ln(x+1)  

Q: 2. COsh(4x)dx

A: We have to solve given integration

Q: 2x? – 4 on Find the arclength of y 0 < x < 2 -

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Q: Question 4 In a concert hall, the ceiling can be described by the plane x + y+ z = 30. An audio engi...

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Q: In +1 dx

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Q: What is the coefficient of the term contaning the variable h when f(x +h) – f(x) is performed, and i...

A: Here we have to determine the coefficient of the term containing the variable h when f(x+h)-f(x)h is...

Q: 2. Tell the continuity of the function 4x - 2, f(x) =-2x +5. x> 2 a.) llustrate the graph b.) Evalua...

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assum...

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Q: Find the radius of a cylindrical can (with a lid) to contain 1728 cm³ of water, using the minimum am...

A: This is a problem of mensuration. Based on the general formula of volume of cylinder we will calcula...

Q: QUESTION 1 Suppose that z depends on variables r, s. and , andr, s, and I each depend on a variable ...

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Q: 16. Suppose that over a region of space the electrical potential V is given by V(x, y, z) = 5x? – 3x...

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assum...

A: Let's find. 

Q: Find the amplitude, period, and phase shift of f(x) = 2+ cos 2x. Then graph f by hand on the interva...

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Q: dx 4) S xVx2-9 x2 dx 5))S To 9-x2

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Q: Example 4 Video Example ) х2 +x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (x3 y'...

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

Q: Q4-Find the domain, range, intercepts, symmetry, and asymptotes y = f(x) = /x² – 5x + 6 -

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