Find the surface area of a sphere of radius 5 by rotating the graph OI the function x2 between x = -5 and x = 5 about the x-axis. |

Q: Find the most general antiderivative of the function. Check your answer by differentiation. (d) sec²…

A: Solve the following

Q: 2. the inde fincte Integial X+8)(Vã-8) da

A: Just first the simplification of given integral and then integrate ∫xndx=xn+1n+1+C, where C is the…

Q: Use differentials to approximate the change in y = f(x) from x = 4 to x = 4.1 for the function, f(x)…

A: It is given that,

Q: Find the area bounded by the trigonometric curves y=sinx and y=cosx from; x== 3.459 square units…

A: Area bounded by the curve .

Q: Find the local extrema of the functionf(x)=x/2−arctanx.

A:

Q: Show that y = tanh x is an odd function.

A:

Q: Describe the change in accuracy of dz as an approximation of ∆z as ∆x and ∆y increase.

A: Given , z=fx,yWe do dz using the partial derivates zx & zy .So , dz=zx.dx & zy.dywhere zx…

Q: Evaluate the definite integral.

A:

Q: Find the length of the graph of y = (1/2) cosh 2x from x = 0 to x = ln sqrt(5).

A:

Q: Find the length of the hyperbolic function y = cosh x from (0,1) to (8, cosh 8)

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. 5 – 4x3…

A: Given that: g(x)=5-4x3+2x6x6

Q: Let f '(x) = sinx - cos x. Where does the relative extremum value of occur? (a). 플 (b). (d). 프 (c).

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Q: 24. By Simpson's rule, evaluate Vi – 1/x dx with fiye ordinates

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Q: a) Estimate the length of this arc with the length of the line segment joining the endpoints of the…

A:

Q: (a) Determine the interval width so that the composite trapezoidal rule can be used to compute xe*dx…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

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

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Q: 1. Find the area under one arch of the curve y = cos- :cosex.

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Q: b) write an expression for the position in terms of time t, use c (lower case) to denote constant of…

A: a =dv/dt where a is acceleration

Q: Find f'a) for f(x)= =Sinx 1- Cos X %3D

A: We have to find the derivative of the given function.

Q: Q2-Use implicit differentiation to find y: a- tan xy = y b- tan?(y + 1) = 3sinx %3D

A: (a) Consider the given implicit function and use the chain rule to find the derivative.

Q: Differentiate the function: y= cos x

A: Given: y=cos x To Find: To differentiate the given function

Q: Find the length of the curve y = ln(sec(x)), where 0 is less than or equal to x which is less than…

A:

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: y = cos (arcsin væ) + sin ( arccos 2

A:

Q: 2. Is the function G(x) = 2e -5 an antiderivative of the function g(x) = 6e"? Use the…

A: Given information: function Gx=2e3x-5 function gx=6e3x here, we have to show that, the function G(x)…

Q: Differentiate the function. y = (cos(4x))*

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

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Q: Find the point of inflection of the graph of the function f(x)=sin(x/2), [0,4pi] (x,y)= Describe…

A: Derivative f'(x) = 1/2cosx/2 and second derivative f''(x) = -1/4sinx/2; To get inflection point let…

Q: What is the area of the region between the sine curve and the x-axis from to 2 ? -1 2 1 4 3.

A: Here we have to find the area of the region bounded by the sine curve and the x-axis from π2 to 2π.…

Q: 35. Does the graph of Sx*sin(1/x), x + 0 f(x) (o. x = 0 have a tangent line at the origin? Give…

A: Given: fx=x2sin1x,x≠00,x=0

Q: Determine the area between the curves y = 9 + 7 sin and п y = -7 -9 cos 3 on the interval -9 s x <…

A:

Q: Find the most general antiderivative of the function. Check your answer by differentiation. 1 (8) –…

A:

Q: dx -1 2x+3

A: To solve the following integral

Q: Use Newton's Method to approximate the zero(s) of the function f(x) = x° +x+1 accurate to three…

A:

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

A: Given:

Q: The height of an arch above the ground is given by the function y = 11 sin x for 0sxSr. What is the…

A: This question can be solved by applying the formula of average height of an arch.

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

A: The first and second derivatives of the given function, f(x)=y=9cos(x), will  be given by:…

Q: Differentiate the function. y (x) = esin 2x + sin(e2")

A: It is given that, yx=esin  2x+sine2xWe have to differentiate the given function.

Q: Find the root of the function f(x)=sin x +xe* between -3 and -4. using secant method ɛ = 0 %3D

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Q: Let f(x) = sinh x, where sinh x = %3D Find f"(x).

A:

Q: The graphs of y = srqt(x) and y = 3 - x2 intersect at one point x = r. Use Newton’s method to…

A:

Q: The height of an arch above theground is given by the function y = 10 sin x, for 0 ≤x ≤∏.What is the…

A: The height of an arch above the ground is given by the function y = 10 sin x, for 0 ≤x ≤∏.What is…

Q: b) Differentiate the function y= sinx-xcos.rwith respect to x.

A: Given: y=sinx-x cosx

Q: Find the relative extrema of f(x) = 1/2x − sin x in the interval (0, 2pie ).

A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

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

A:

Q: find all possible functions with the givenderivative. y' = sin 2t + cost/2

A: we have to find all possible functions with the given derivative y'=sin2t+cost2. the given…

Q: The area between y = 2.sinx and y= sin2x for 0<x< T is None

A:

Q: Find the relative extrema of f(x) = (x − 1) cosh x − sinh x.

A: Maxima and minima: f(x)=(x-1)coshx-sinhx f'(x)=(x-1)sinhx+coshx-coshx f'(x)=(x-1)sinhx…

Q: Differentiate the function. y= (Sin x)In x

A: Given function - y = sinxlnx                   .............(1)Taking logarithm ln on both sides -…