what is the absolute extrema point(s) of f(x) = e1-cosx on [ -pi/2 , pi ], if there are any?

Q: The lowest point on the graph of y = cos x, 0sxs21, occurs when x=

A:

Q: Determine the local extrema of the function f(x)=sinx−cosx on [0,2π].

A:

Q: What is the indefinite integral (anti-derivative) { cos(x) dx? ○ sin(x) + C cos(x) + C - sin(x) + C…

A:

Q: The slope of the tangent line to the curve at the point where x = O +1 -1 DNE f(x) = sin² x cos²x

A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

Q: What do the limits limh→0((sin h)/h) and limh→0((cos h - 1)/h) have to do with the derivatives of…

A:

Q: What are the derivatives of the six basic hyperbolic functions? What are the corresponding integral…

A: The derivatives of the six basic hyperbolic functions are as follows.

Q: -1 We can conclude from the derivative of sin-1(x)and cos-1(x) that sin-(x) + cos¯(x) is constant.…

A: Explanation: find the derivative of sin-1x & cos-1x

Q: Use Simpson's rule with n = 4 to approximate cos(x) dx 1

A:

Q: 3. Compute the first four derivatives of f(x) = sin r + cos r. Try to find a pattern and guess the…

A: we have to find the first four derivative of f(x)=sinx + cosx and then we have to find the n-th…

Q: Determine the points in the interval (0, 2n) at which the graph of the function below has a…

A:

Q: hich the extrema occur. g(x)=x^2+cos⁡(x^2 ) on [-√π,√π]

A: The function given is gx=x2+cosx2 on the interval [-√π,√π]. To find the extrema of the function…

Q: Find all points on the graph of the function f(x) = 2 cos(x) + cos2(x) at which the tangent line is…

A: Horizontal tangent is parallel to x axis hence slope of tangent is zero at that point

Q: The approximation of I cos (x²+5) dx using simple Simpson's rule is:

A:

Q: ayfor gen f(x) = cos (2r + (/2)), a = /4 TT

A:

Q: Find the derivative of the 6. sin 80 (f) f(0) = %3D 1+ cos 80

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Integrate this item using (parabolic) Simpson's rule, with interval width of 2.00 units. x tan x + 5…

A: The formula for Simpson's rule isSn=∆x3f(x0)+4f(x1)+2f(x2)+4f(x3)+...+4f(xn-1)+f(xn) where…

Q: Find the extreme values of the function f(x) = sin(2x) within the interval 0 < x < 2n %3D

A: Given function f(x)= sin(2x)            0≤x≤2π

Q: Find the absolute extrema of the function on the closed interval. y = 9 cos x,    [0, 2?]

A:

Q: A rectangle is to be inscribed under the arch of the curve y = 4 cos (0.5x) from x = -π to x = π.…

A: Consider the given function y=4cos0.5x

Q: Find the smallest positive zero of f(x)=cos^2(x)-sin^2(x)

A:

Q: Use the Second Derivative Test to find all relative extrema. (a) h (x) = x - 2 cos x, [0, 4π]

A:

Q: Q! O show th at [x sin'x + V1-x²] = sin'x sin x

A:

Q: What is the area between the graphs of the functions f (x) = 5 sin x and g (x) = e x − 3, between x…

A: Graph of the given system is:

Q: Find and locate the local and absolute extreme values of f(x) = x+(sin2x) in [0, π].

A: Find and locate the local and absolute extreme values of f(x) = x+(sin2x)in [0, π].

Q: Find the absolute extrema of the function on the closed interval.

A: The given function is y=tanπx8    on  0, 2. Compute the critical points as follows.…

Q: The derivative of In (cos x) is A -tan x B None of the given choices tan x D sec x -sec x

A:

Q: cos x if x 0

A: We have to find the reason

Q: The integral S sine de 1+ cose sec²0 de 1+ tan cose de 1-sine sece tane de sece-1 S x dx x²+√√x²-1-1…

A: dsecθdθ= sec θ.tan θ

Q: the equation of the tangent line to the graph of f(x) = 9 sin(x) + 4 cos(x) at x = in the form y =…

A:

Q: Is the function h(x) = 3 cos x+ sin x concave up or down at the point 3 я?

A: Given:

Q: Find an approximate solution, accurate to 5 decimal places, to the equation cosx=x2 that lies in the…

A:

Q: Compute the derivative f'(x)given sin x 1 dt 1- 12 f(x) = cos x

A:

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: Find the x-coordinates of the points of inflection of k(@) = sin (e) on the interval 2 Use exact…

A: h(θ) = sin2(θ)  [ -π/2, π ]

Q: 7. Find the derivative with respect to x of tan-(2) – In(2.r +3) = 4 cos (2y +5). %3D

A: To find the derivative of tan-1x2-ln2x+3=4cos32y+5. Solution: Power rule of differentiation states…

Q: Find the limit of the trigonometric function.

A: The given expression is limx→0cosx-sinx-12x

Q: Which formula gives the x-coordinates of the maximum values for y = cos(x)?

A:

Q: Find the second derivative of f (z) = 6 sin (4z). %3D Enclose arguments of functions in parentheses.…

A:

Q: For what r-value (approximately) does the function f(x) = sin(x) – 2? (Use x = 2 as a first…

A:

Q: what is the maximum value of y=sinx, 0 less than or equal to x less than or equal to 2pie, and…

A: Given function  y = sinx on  0≤x≤2π

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: Evaluate the definite integral.

A: ∫012arccosx1-x2 dx Consider, ∫arccosx1-x2 dx Now put, arccosx=t⇒-11-x2=dtdx⇒11-x2 dx=-dt Therefore,…

Q: find the intergral of f(x) = sin(x) + cos(2x) on the interval [0,pi]

A:

Q: The approximation of 1 = f*cos(x³ - dx using composite Simpson's rule with n= 3 is:

A:

Q: Use a linear approximation of f(x)=cos(x) at x=5π/4 to approximate cos(222∘)

A:

Q: Find the deriva tive Of 6- sin (xy)+ e'

A: Note:- It is not mentioned in question for derivative find with respectvto what variable(x or y) so…

Q: Evaluate integral 0 to pie sin 2 x cos 3 x dx

A: Explanation: Given that,  ∫0πsin2xcos3xdx   Formula Used: Trig. identity:1-sin2x=cos2xSum rule of…

Q: The graph of f(x) = cos x and a tangent line to f through the origin are shown. Find the coordinates…

A: