Is there a value of b that will make a(x) = {x+b, x <0 cos x, x > 0 Differentiable at x = 0? Give reasons for your answers. %3D continuous at x = 0?

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of 6 V(1 + x³)dx. Give…

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A: Given

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Q: Given: y = arctan sinh find y' at x 2 cosh 1 3(1+sinh 1) cosh 1 Oy = 1+sinh 1 cosh 1 1+sinh 1 %3D…

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Q: Evaluate the definite integral: r1 arctan x dx = x2 +1 0.

A: To solve the integral first I have make a substitution so that integral become easy and the solved…

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Q: Set up the integral for the arc lengthof the function,y=4/3x^3/2 for 2≤x≤6 if you integrate with…

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Q: Use Simpson's rule with interval h = 1 to determine the approximate value of f V(1+ x3)dx. Give…

A: Given integral is ∫021+x3dx and h=1. We have to approximate the given integral by using Simpson's…

Q: Differentiate y = In(cosh x) + 2 cosh x O a. sechx (1 cosh O b. cosh x cosh a 2 O c. sinh x с. cosh…

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Q: Find the value of* cos(x) sin (2x) lim sin(x) – 1 - O 0/0 4. O (intinity)

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Q: x = -sin 2y x = cos y --

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Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

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Q: Use Simpson's rule with n = 6 to approximate %3D cos(a) dx 0.08 Keep at least 2 decimal places…

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Q: S sin x In(cos x) dx X

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Q: Evaluate the integral. TC cos(x) sinh(x) dx

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Q: Make an octave code to integrate ex with respect to dx from 0 to 1, by Simpson’s ⅓ rule. Divide the…

A: Equation is f(x)=exThe value of the table for x and y x 0 0.25 0.5 0.75 1 y 1 1.284 1.6487…

Q: 4. Suppose f(x) is a differentiable function with a continuousderivative. Describe the arc length of…

A: Arc Length  Suppose function fx is a differentiable function with a continuous derivative on a,b.…

Q: Evaluate the definite integral. sec (x/4) dx 0.

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Q: Evaluate sin(x) · In ( cos(x)) dx using integration by parts.

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Q: Consider f(x) = sin(2x) + cos(4x), 0 ≤ x ≤ 1. .......Integrate f over the given interval of x, using…

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A: We have to find antiderivative (Integral) of  f(x) = cosx  i.e ∫ cosx dx

Q: Find the indefinite integral. ∫arctan x dx

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Q: Find dy Ldx For the following (Jy)' =(In tan x)(x") ( sin x)"

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A: Given that the area under f(x) in [-1,2] is 10br2 So,

Q: Evaluate the integral. (Use C for the constant of integration.) sin (x) cos (x) dx 4.

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Q: Give an interval over which you could integrate to find the area of one leaf of the rose r = 2 sin…

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Q: Use Simpson's rule with interval h = 1 to determine the approximate value of V(1 + x³ )dx. Give…

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Q: Find the indefinite integral. ∫sec x/2 dx

A: Given ∫sec x/2 dx. We need to evaluate the above integral.

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Q: Find the point at which f (x) =2 cos (x) equals its average value on the interval [0, 7] 3 Note:…

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Q: facR,af ischiffontiable at xo gisdiffera tible at to anol

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Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

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Q: Find a positive value for the constant "u" that makes tan Sur x<0 f(x) = continuous at x= 0. 2x +…

A: Given:               fx=tan5μxxx&lt;02x+2k3x≥0

Q: Evaluate the integral. (Use C for the constant of integration.) 3 cos x dx 6 + sin x

A: Evaluate the integral.

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A: Definition used -   U substitution - When there is a composite function multiplied by the…

Q: cos y sin x Let s(x.y) = x+0 %3D cos y Is continuous at (0, 0) ? f

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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…

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Q: Change the order of integration. "A/2 x + 1 3 sin(x) dy dx

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A: Given: y=sin(0.5x)

Q: Find the trigonometric integral. (Use C for the constant of integration.) tan (x) dx sec (x) c^(x)

A: To Evaluate: ∫tan3xsec4xdx

Q: b)x > 0 impending all continuous f function | f(t)dt = x. arctan(x) f(1) =?

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Q: Cualuate the definle integial. x33 COs (xH) dx

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