2. State the interval(s) over which the function is increasing. 3. State the interval(s) over which the function is decreasing. 4. State the value(s) of x for which the function is neither increasing nor decreasing.

Q: Differentiate y = tan-¹(√x). y =

A: To find derivative.

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A: Coterminal angle

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A:

Q: Find the general solution to the homogeneous differential equation dy + 12 +36y = 0 dt The solution…

A: Given differental equation:- d2ydt2+12dydt+36y=0

Q: (1) Find the summation of the series +++++

A:

Q: Evaluate the limit using L'Hopital's rule 6 cos(7x)sec( – 3x) lim x →

A: limx→π26cos(-7x)sec(-3x)=limx→π26cos(-7x)cos(-3x)cosx=1secxit is 00 form use l'hospital rule

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Q: answers to three decimal places. Find the critical numbers of the function f(x)=-3x5 + 15x¹ +25³ +4…

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Q: The marginal cost of the xth box of light bulbs is 10 + C(x) = [In(x + 1)] (x + 1)² 7 and the fixed…

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Q: Find the Jacobian J of the transformation T(u, v, w) = (4u +4v+w, 4u − 2v+2w, 4u — 4v +2w) = (x, y,…

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Q: Find two numbers whose sum is 33 and whose difference is 11. smaller number larger number

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Q: Put these numbers in order from greatest to  least. 2.3 3.18 2.6 2.8     Submit

A: See this solution in below.

Q: Given z = x² + xy², x= uv¹+w², y=u+ve" дz ?u then find: when u = -2, v = -1, w=0

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Q: Given the graph of f(x), sketch an approximate graph of f'(x). 3) 66 +4 -2 AH ++ Af(x) HT

A: According to guidelines, we can solve only one question at a time. If you need help with other parts…

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A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the Jacobian J of the transformation T(u, v, w) = (u (—v— 7), −7u (1 − w), 2uvw) = (x, y, z).…

A: The given transformation is:T(u, v, w)=u(-v-7), -7u(1-w), 2uvw=(x,y,z)

Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

A: We have given  x=2sin(π6t) y=2cosπ6t Comparing this with x=asinwt y=acoswt We  get,  w=π6 rad/sec…

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Q: 4. Find all point(s) on the graph of ƒ at which the tangent line is horizontal. (a) f(x) = sec² x…

A: Given:     fx=sec2x      for x∈0,2π\π2,3π2 To determine the points on the curve at which the tangent…

Q: ntegral Calculus - Plane Area 1. Find the area in the first quadrant enclosed by y = (x2 + 4)/x2, x…

A: Topic = Area

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Q: Question 6 Calculate the volume of a solid on the first octant and under the plane defined by…

A: Volume

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A: Given: csc2x

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Q: Analyze the following limits and find the vertical asymptotes of f(x) = a. lim f(x) x-12 b. lim f(x)…

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Q: Find the centroid of the lamina bounded by the x- and y-axes, the line x = 2, and the graph of y=e*.…

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Q: Integral Calculus (Upvote will be given. Please write the complete solutions with GRAPH/DIAGRAM…

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Q: P(250) = JO 1 dx 0

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Q: For the given cost function C(x) = 52900 + 300x + x² find: a) The cost at the production level 1000…

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Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.…

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Q: 20 20 8.) For the tangent line to f(x)=e* at x = 0 to have an error of at most 0.1 in approximating…

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Q: please use the method of variation of parameters to determine the particular solution y'"+30y"…

A: The given differential equation is:y'''+30y''-4000y=e-20x

Q: K Consider the function f(x) = - (a) lim f(x) = X→∞0 3 4x³ + 18x² + 18x lim f(x) = (a) Evaluate lim…

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Q: Find the absolute extreme values of the function on the interval. 2) f(x)= x8/3, -1≤x≤8

A: Given: fx=x83

Q: 1. Find the equation of the tangent line to the graph of y=f(x) at x=-1, if fM)=3 and f(x)=ź

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Here we have to find the degree measure of angle given in radians.

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

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Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 40L0.75 -0.25 where…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Which of the following differential equations most likely represents the given directional field? a.…

A: The answer is in step 2.