| tan 3x sec 3xdx 3.

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Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r>0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

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Q: PROBLEM SET NO. 3 Using the techniques of integration, evaluate the following integrals by applying…

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Q: Find the first partial derivatives of the function. 4exy f(x, y) = x + y

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: 1. f(x) = x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 27-x3 1. lim X-3 5x2-11x-12

A: We have to find the limit of one question as per guidelines Please repost other questions again

Q: 1. ſx² e*³ Sx² e**dx 2. cos'xsinxdx sin3xsin 2x dx 3.

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Q: Find x in the following logarithmic functions: a) log10 x = 2; b) log10 x = -3 ; c) log10 x = HIN

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Q: Compute the general term an of the series with the partial sum Sn = 2 n + 2 , п> 0. 2" %3| - An =

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Q: 5. Jxе2x dx

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Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity,…

A: Find your answer below

Q: Let y(x)=1/x+3 Estimate the slope of the tangent line of y(x) at the point x=1.

A: Given query is to find the slope of the tangent.

Q: (g) log r+ log (13 – 3r) = 1 - (h) In (In (In r)) = 1 %3D

A: Solved below

Q: 1. Bob, Glen, and Paul (the authors of our text) are sitting around enjoying their nice, cold…

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Q: Evaluate the following limit and show the complete solution

A: Given limit is in the form of 0/0

Q: Find Ay for the given values of x1 and x2. 3x-7 :X= 2, Ax = 0.1 X-1

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Q: Find the integrel that represente the volume of the following solid , Emc losed by y -0,20 =X and 6x…

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Q: 4 x ) dx. 4 tan x

A: topic - definite integral using integration properties

Q: 4x 20. Write log2 assthe sum and/or difference of ² - 3x - 18 logarithms. Express powers as factors.

A: The given logarthim expression,       log24x3x2-3x-18

Q: Find the domain and range of the function g(x, y) = 8\/- 9y + 27x². %3D Indicate the domain of g in…

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Q: x and y -2x Find the area of the region enclosed by y

A: Solution is given below:

Q: Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) = 2,…

A: We can draw the graph as follows

Q: First derivative analysis clefermine increasing /decreasing intervals b) find any max/mins. Second…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the s 5n Σ 4n - 1 n = 1…

A: Given query is to find series converges or diverges.

Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

Q: If the marginal revenue (in dollars per unit) for a month for a commodity is MR = -0.6x + 43, find…

A: Given query is to find the total revenue function.

Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

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Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – 5 in [-1,4] is: -4.5,…

A: Find your answer below

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: Solution is given below:

Q: Given two vectors A = 2i + 3j- 2k B = 3i- 4j- 6k Determine the vector that defines the direction of…

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Q: 7. DETAILS Y NOTES ASK YOUR TEACHER Find the interval(s) where the function is increasing and the…

A: The objective is to find the interval where the function is increasing and also the interval where…

Q: A. Evaluate the following integrals. dx 1. 5+x2 dx V4-9x2 dx 3. x V16x2–25 dx 4. x2+4x+13 2.

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Q: ntify the u , ress the final answer in its simplest form without onents. Thank You! du and other…

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Q: Find the solution. y'+=V5.y(1) = 0

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Q: Simplify your answer. HINT [See Examples 1 and 2.] dy dx Calculate y = x³(4 – x²) dy dx II

A: We need to find derivative.

Q: If A = 3 B = | J, c = ; ) II. [X1 X21 [x3 X4]' And X= Solve each of the following equations: 1. (d)…

A: Here we have to use the matrix operations.

Q: Calculate the double integral of f(x, y) over the triangle in the figure below. f(x, y) = 8ex2 y 4 2…

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Q: li X•sin 5

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

A: The given integral,         ∫5 cos xcot2sin xdx

Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

Q: Consider the following. u = x w = Vx y = xx Calculate the following. Simplify your answers. du dx dw…

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Q: 4 Find the limit lim 3 Enter I for oo, -I for -o, and DNE if the limit does not exist. Answer:

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Q: 20. Evaluate: 2x²Vx3 + 1 dx:

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Q: S(Võ +) 1 do

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Q: dy Calculate Simplify your answer. HINT [See Examples 1 and 2.] dx 2х + 6 y = 5х — 1 dy %3D dx

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Q: Jse an appropriate substitution and then a trigonometric substitution to evaluate the integral. x dx…

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Q: valuate the limit 8x2 – 9x – 9 lim x→-o 7 – 7x – 10x2 E the limit does not exist enter DNE. imit =

A: We have to find limit