f(x) = lnx/sqrt(x) Find interval of increasing/decreasing: Local max and mix values:

Q: xe-4xdx

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Q: By the Fundamental Theorem of Calculus: •t „2 +1 dx 5x +1 d dt d and dt - 6t x2 +1 dx 5x +1 d…

A: Given

Q: Find the volume of the solid that results when the shaded region is 6 revolved about the indicated…

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Q: a lim - o Consider the following series. * (-1)* * 1 (jerror 0, and then you need to verify the two…

A: Given: Here, bn+1=(-1)n+1+1n+17=1n+17. We are given the bound ε=0.00005. So, now we need to solve…

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x>1

Q: 2370  +  Sin 253 0=

A: Sin253° = -0.9563

Q: * This equation is an example for linear equations dy y = x²e* + dx False O True

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Q: TC 2 esin(xdx, for n=8 Evaluate: using (a) Trapezoidal method, (b) Simpsons Methoe

A: For (a), Trapezoidal Rule:

Q: Find u v. = (9, 2) v 3 (-8, 4) V: U V D

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Q: Find the vector component of v = 2i – j+ 3k along b = i + 2j + 2k and the vector component of v…

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Q: A rectangular box with a length of 10 feet and a volume of 110 cubic feet is to be made from two…

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Q: Find the inverse of the function on the given domain. f(z) = (x – 14)2. [14, 0) f-1 (2) =

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Q: Solve the initial value problem.

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Q: Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3 , by using the Chain Rule dt

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Q: prove that if the polynomial f(x) = x2n + a1x(2n-2)  +....+an-1x2 + an  is divisible by g1(x)= x-1…

A: prove that if the polynomial f(x) = x2n + a1x(2n-2)  +....+an-1x2 + an  is divisible by g1(x)= x-1…

Q: 10. S(tan x – 1)²dx

A: Topic:- application of integration

Q: the area under the graph of the function over the interval given. 25) y = 2x +7; [1, 5] A) 18 B) 52…

A: Given query is to find the area under the graph.

Q: Evaluate with out hoH LnX lim

A: The given limit is: limx→1lnxx-1   As we know from the Taylor series with center 1:…

Q: Find the slope of the tangent line to polar curve r=5sinθ at the point (5/2,π/6).

A: This question is related to Straight line, we will solve it using given information.

Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

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Q: dy = ky dx

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Q: Find the average value of f(x) = 14 – |x| over the interval [ – 14, 14]. fave

A: As per bartleby guidelines we are supposed to answer only one question per post. This post contains…

Q: 2) x2 + 4x+ 3By partial

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Q: 35. A hallway of width a = 5 ft meets a hallway of width b = 4 ft at a right angle. Find the length…

A: Given problem:-

Q: Q.5 Find the relative maxima and relative minima of the function, if any. 1 f(x) = x³ – 2x² – 5x –…

A: Given function,f(x)=13x3-2x2-5x-10Differentiate w.r.t.xf'(x)=13×3x2-2×2x-5f'(x)=x2-4x-5Differentiate…

Q: Compute the derivative of the function y = 7 sin-(x) at the point x 3 (Use symbolic notation and…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: |2 tan(x)dx

A: I am attaching image so that you understand each and every step.

Q: Determine the Laplace transform of the following function f(x) = x2 1.

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Q: any solutions does the equation 2 + 6 (x 4) = 3x - 18 + 3x have?

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Q: Given the curve y = x´ and the lines y = 0 and y = 2 –x. Find the abscissa of the centroid X of the…

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Q: 4. Find a vector that points in the opposite direction as ā =(-3,-14,2) with a magnitude of 32. 5.…

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Q: 00 dz Either show that the improper integral converges and find its value, or show that it diverges…

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Q: "Suppose w =+, x = cos² t, y = sin? t, z = dw Evaluate at t = 3, by using the Chain Rule dt

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Q: The surface area of a closed box is 200 square feet. If the width and height have the same…

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Q: Find the x- and y-intercepts for the function. x+1 r2+36 f (x) Enter your answers as points, (a, b).…

A: The given function is: fx or y=x+1x2+36   As we know that; To determine, x-intercept, we need to…

Q: Find the length of the arc y = 8. 1 from X = 1 to x = 4. 4x www

A: Given

Q: Calculate the surface integral / G(r) dA, where G = (12zz + 36)/2, the surface S is given by the…

A: We have to find the surface intgral.

Q: Determine the equation of the tangent plane to the surface z = cos(x + 2y) at the point (2,-1,0).

A: Tangent plane to f(x, y) at (x0, y0) is given by below:

Q: EX-10 - Prove the following identities: a) Sin( A+B)+ Sin( A-B)= 2.SinA.CosB Sin( A+B) b) tan A+ tan…

A: Using trigonometric function

Q: 15. The solution of Laplace equation и + 3 0, и(х,0) — 0, и(х, п) — 0, и (о, у) — 0, и(0, у) %— 3sin…

A: Please see the below picture for detailed solution.

Q: Let f(x) = 10x° + rx? + e2x. Compute f(")(x). (Use symbolic notation and fractions where needed.)…

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Q: Use the Two-Path test to show that the following limit does not exist. (Use y=x2) lim (x,y)→(0,0)…

A: Using Two-Path test we will evaluate.

Q: Given G(x) = jin(2t+1)dt , find G '(x). O In(2x + 1) O In(2x + 1) - In3 O In(2t + 1) + C 2 2x+1

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Q: 0 4 0 4 0 0 zero matrix square matrix diagional matrix unit matrix O

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Q: Find the area of the region enclosed by y = 0.75 and a 6 - y". -4 -3 -2 -1 4 5 -2- Use horizontal…

A: To find the area of the region enclosed by y=0.75x and x=6-y2.

Q: Prove 2^1/n infinity n=1 is convergent

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Q: what is the sum of a+b+c of the intersection of the plane and line parameterized by x=r, y=1+r,…

A: A plane perpendicular to a vector and through a point In vector form, a plane's equation is…