tan x x

Q: Given that v1+ tan x dx represents the arc length of some curve defined by y= f(x) on 0, A, determin...

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Q: Find y" by implicit differentiation.   x4 + y4 =a4

A: Given function is Differentiating both sides  with respect to x, we get

Q: Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of c...

A: Slope = 3 means 1 unit right and 3 unit up  Slope = -3 means 1 unit right and 3 unit down Slope = 1/...

Q: 3. Let R be the region enclosed by the graphs of: y= sint, ond grophs Graph R and finds its work nea...

A: We sketch the region using a graphing calculator. Area of R is:    

Q: The pair of numbers whose difference is 18 and whose product is as small as possible is

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Q: calculate the indefinite integral.

A: Here the given function Or it can be written as  

Q: How can you display the values of a function ƒ(x, y) of two in-dependent variables graphically? How ...

A: For a  function ƒ(x, y) of two in-dependent variables. It can be plotted graphed using 3d plotting w...

Q: Exercises 61 Page 660: A manufacturer's marginal revenue function is dr 2000 If r in dollars. find t...

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Q: Evaluate the double integral /: ry dA where D is the region bounded by the line y = x – 1 and the pa...

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Q: A particle moves in a straight line and has acceleration given by a ( t ) = 6 t +4 Its initial veloc...

A: The acceleration of particle at any time t is By integrating , we get Now, v(0)=-6 cm/s

Q: Determine if f is continuous at the indicated values. x = 0 f(x) = 1 sin x x + 0 a) x = 0. ? b) x = ...

A: Given

Q: Determine where the function is concave upward and where it is concave downward. g(x) = -x? + 3r + 2...

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Q: evaluate the integral.

A: To Determine: Integrate                             

Q: . Determine the points where the curve 6x+ 4y-y=6 has a vertical tangent line. p. Does the curve hav...

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Q: In Exercise 4, find the domain and range of the function. 4. f(x, y) = √(36 − x^2 − y^2)

A: Consider the given function z = f(x, y) = √(36 − x^2 − y^2)

Q: Prove the identity arcsinhx=ln(x+√1+x2).

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Q: A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at theshallow end, and 9 ft deep at its deepest...

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Q: a. Graph the functions f(x) = x/2 and g(x) = 1 + (4/x) together to identify the values of x for whic...

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Q: A continuous function y = ƒ(x) is known to be negative at x = 0 and positive at x = 1. Why does the ...

A: Given that f(0)<0 and f(1)>0  f(x) is a continuous function.     

Q: 8. Find the volume of the solid that results when the area of the region enclosed by y = 2x2, x = 2,...

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Q: Evaluate the derivative of the function r(t)=⟨sin2t,cost,2sect⟩ at t=π6.

A: To find the derivative of the given function.  

Q: A car rental company offers two plans for renting a car: Plan A: 30 dollars per day and 14 cents per...

A: Let for x miles plan B will save money.  14 cent= 0.14 dollar So for 1-day x miles cost for plan A= ...

Q: Given f(x, y) = 2a³ + 5æy³ – y°, find f-(x, y) = Preview f,(x, y) = Preview

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Q: Use a double integral to find the area of the region. The region within both of the circles r = 6 co...

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Q: Find intregal indefinite dx =

A: To evaluate the given indefinite integral.  

Q: A train moves along a track at velocity v. Bionica walks down the aisleof the train with velocity u ...

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?...

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Q: Calculus Question

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Q: Find any intercepts and test for symmetry. Then sketch the graph of the equation y = 2 − 3x

A: Here given function Since it is a linear function So it is symmetry about x-intercepts.  

Q: 71. Prove the reduction formula tank x dx = tan" k-1 х | tank-2 x dx k – 1 Hint: tank x = (sec² x – ...

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Q: ■ Find y 2    implicit differentiation.   x3 + y3 = 1

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Q: Write the composite function in the form f(g(x)) .[Identify the inner function  u =g(x) and the oute...

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Q: Find the derivative of the function by the limit process. f(x) = 7x − 3

A: GIven function: f(x) = 7x − 3 Formula used:

Q: Use the precise definition of limit to prove the given limit

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Q: cos' 0 d0

A: To solve:

Q: .2 If y=mx+b is the equation of a tangent line to the curve x +2xy - y+x= 39 at x=5 with a negative ...

A: Equation of the curve is given by We need to find out slope at x=5

Q: Find the global maximum and global minimum of the function f(x)=sinx−x in the interval [−π,π].

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Q: At what times in the interval 0<= t<=pai are the velocity and acceleration vectors of the moti...

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Q: a) Sketch the infinite region bounded by f(z) = ! and the r-axis, for z 2 1. b) Set up and evaluate ...

A: Hey, since there are multiple subparts questions posted, we will answer first three subparts questio...

Q: Evaluating Integrals in Cylindrical Coordinates Evaluate the cylindrical coordinate integrals in Exe...

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Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether th...

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Q: Q49 only

A: We need to sketch the graph of a function that satisfies the following properties. f(-2) = 0, f(4) =...

Q: Does Size of a product matrix in Matrix Multiplication matter? explain the suitable size?

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Q: 3, Let R be the of: y: sinx region endlosed bu the grophs n enclosed by and 1 x70 . Groph R and find...

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Q: A monopolistically competitive firm introduces two different brands of a product the demand function...

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Q: Find an equation of the line that passes through the point and has the indicated slope. Then sketch ...

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Q: Population growth The population of Knoxville is 500,000 and is increasing at the rate of 3.75% each...

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Q: Suppose that 3 s f (x) 5 for all values of x. What are the minimum and maximum possible values of f(...

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Q: -- (4, - 1) and 6= (2,2). Represent a+ bby using the paralelogram method. Use the Vector tool to dra...

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