The maximum value of y = cos x for - < x< is 1

Q: f(x, y) = ln (2x) In (3y) + x - y - xy - 3, then fyz (2,-) is equal to

A: Given :fx,y=ln2xln3y+x-y-xy-3

Q: Find the critical points of the function f(x)=sin2x−cosx on the interval (0,2π).

A: For critical points, first find the derivative of the function and equate it to zero.

Q: Determine the absolute extreme values of the function f(x) = sinx - cosx + 6 on the interval 0 ≤ x ≤…

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Q: What is the maximum value of y = cos x. For - < x < < ?? 1 1/2 2.

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Q: max value for y

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Q: Find the maximum and minimum valucs of f(x) = sin x + cos x on (0, 2n].

A: Given function:                      f(x) = sin x + cos x,   x∈[0, 2π] Use the second derivative…

Q: Show that f(x) = sin x (1 + cos x) is maximum when x = Hence find its maximum value.

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Q: Q1/Prove that S cosh(2x)sinh(x)dx = cosh(3x) – cosh(x)) -

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Q: Solve using variation OF patometert O reductian OF order CD-+)y= secx csc x csc X

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Q: Limit as x approaches 0 1-cos(x)/sin(x)

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Q: Find the x values of all the horizontal tangents to the function f(x) = cos.x + /3 sinx on the…

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Q: Find the absolute extremum point(s) of f(x) = e' -Cos x on [-골, T), E any.

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Q: limit x to 0 sin(4t)sec(1000t)/10t

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Q: Find the global maximum and minimum of the function on the given…

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Q: Find the maximum or local minimum f(x)=sinx.[0,4]

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Q: Find tanget line to f(X) =tan(X) + 9 cos( X) at X=π

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Q: Find the critical coordinates of f(x) = x³ – 3x² + 8x + 1. Then, distinguish the local maximum and…

A: Given function is  f(x) = 13x3-3x2+8x+1                 ....(1) Differentiate with respect to x , we…

Q: When does f(x) = ln(x + sin2x), 0 < x < 2π have a local minimum?

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Q: Find minimum of sin(x + 3) – sin(x + 1) – 2 cos(x + 2) where a E R.

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Q: Lim as x approaches 0  1-cos(5x)+sin(3x)/x

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Q: 5) What is the maximum value of y = 5 Cos 4x ?

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Q: What are the critical points of sin(x2-1), at the closed interval [-1,1]?

A: Given: The critical point is a funtion is the point where the derivative of the funtion is zero.…

Q: An object hangs from a string in a stable position and is represented by the function y = 4 sin (3x)…

A: NOTE:Use the form y= asin(bx−c)+d to find the variables used to find the amplitude, period, phase…

Q: 4. Find the length of the arc of f(x) = ÷ (1+ x²)ē between x = 0 and x = 3. %3!

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Q: 1) sinh-1x = In(x + Vx² + 1) %3D 2) cosh-1 x = In(x+ Vx² – 1) %3D 3) tanh-1x In ) X = 1-x

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Q: Find the root between [-1,0] where f (x) = (x+2)' +2x – 5 with error epsilon=0.1 by using False…

A: There are many methods to find the roots of an equation in a given interval. One among such method…

Q: Find the critical value of f (x) = vx² + x – x using the second derivative test. %3D

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Q: Find the possible values of cosh x that satisfies sinh²x – 3 cosh x + 3 = 0

A: We use the following identity to solve question 1). cosh2x - sinh2x = 1

Q: Find the absolute maximum and minimum values for f (x, y) = 4 sin(x) + 9 cos(y) on the rectangle R…

A: Given that: fx,y=4sinx+9cosy Limit: 0≤x≤2π, 0≤y≤2π We know that if a,b is a critical point and…

Q: find the limit as x approaches 0. 12sin(3x)/1-cos(3x) = as x approaches 0

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Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: Find the linearization of ƒ(x) = sqrt(x + 1) + sin x at x = 0. How is it related to the individual…

A: To determine the linearization of the function at x=0.

Q: At which points does f(x) = 2 sin x - cos 2x have an absolute maximum value and what is the maximum…

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Q: The value of function f(x) = sin x (1 + cos x) is maximum when x is equal to

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Q: Solves methad of vriation of Parameters - secx by the yot gosx +イne

A: We use the method of variation of parameters to solve this problem.

Q: limit x to 0 3x-3xcox/sin^2(3x)

A: Here given limit as Use the L'hospital rule which states

Q: Find all extreme values for y=x+sinx^2 over [0,π]

A: Given,  y = x + sin2x  We have to find the extreme value in the interval 0, π

Q: Find the linearization of ƒ(x) = sqrt(1 + x) + sin x - 0.5 at x = 0

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Q: Give an equation for a cosine function that has a maximum at followed immediately by another maximur…

A: To find the trigonometric equation satisgmfying the properties

Q: Find the absolute extrema of the function on the closed interval. y = 9 cos x, [о, 2л] (x, y)…

A: Given,

Q: 1. Find the point(s) if any where f has a horizontal tangent line. у %3D УЗх + 2 cos x 0<x < 2п

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Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A: Product of two numbers:= 750; Sum of one and 10times the other is minimum;

Q: 7. Find the first 2 iterations for the root of f(x) = x- cosx by the Secant method on [0,1.

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Q: Prove sech 2  x =1 - tanh  2x

A: we have to prove: sech 2  x =1 - tanh  2x

Q: 5)Let f ( x ) =3x4 + 4x3 Find the derivative. b)Find the critical numbers.

A: Given problem:- 5)Let f ( x ) =3x4 + 4x3   a) Find the derivative.   b) Find the critical numbers.

Q: Determine the maximum/minimum point(s) for y=sin 2x– cos x – 4x on the interval 0 <x< 2n . The…

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Q: limit x approaches zero, sin^2x/x

A: Given,