Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

Q: 6. Find the surface area generated by revolving the curve x = 5 cos' t, y = 5 sin' t, 0sts, about…

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Q: 3x-2 dy Find by logarithmic differentiation: y: da

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Q: Q4) Find plane area inside the polar function r = 2 and outside the polar function r = sin e) +1 in…

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Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim(10 sin(11t)…

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Q: 8x2 – 5 dx (2 — 1)(4г2 + 1) 6х —

A: To sove the following integration by using partial fractions.∫6x-8x2-52x-14x2+1 dx

Q: Question For the equation given below, one could use Newton's method as a way to approximate the…

A: To solve the following problem

Q: The round off errors when measuring the distance that a long jumper has jumped is uniformly…

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, –4) and the vector component of v…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: B. Evaluate the following .5 S lx? -x-6|dx - x - 6|dx -5 1.

A: We need to evaluate integral,  NOTE - As per Bartleby's guidelines we can solve only 1 question from…

Q: Evaluate the following integrals. 1 dx (e2r – 4)³/2

A: The integration of the integral is 1/(e2x-4)5/2.

Q: The acceleration function (in m/s?) and the initial velocity are given for a particle moving along a…

A: We have to find value of v(t) and x(t)

Q: Find y' if 3x2- (ry?) = 2y.

A: y' = ? 3x2 -(xy2)1/2 = 2y3 3x2 - x1/2y = 2y3 differentiate with respect to x 6x - y/2x - xdy/dx =…

Q: A mathematical model for the rate at which a drug disseminates into the bloodstream is given by dx =…

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Q: Consider a triangle ABC like the one below. Suppose that B= 53°, C=58°, and b=18. (The figure is not…

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Q: A particle moves along the x-axis with velocity given by v(t) = 6t – 6t for time t > 0. If the…

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Q: Find the volume of the solid obtained by rotating the region bounded by the curve y= x+1, y= 0, x=…

A: Let's find.

Q: 2x3 – x² + 2x – 2 dx x²(x² – 2x + 2) - -

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

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Q: 9. х%3D? +1,у%3г? + 2г. a) Find dy/dx t² +1, y = 2t. Show All Work and Give Answer In

A: Topic = Derivative

Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

Q: 10n2 + 18 Σ 7η2+ 16η+ 21 n=1

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Q: Vx2 – 4 dx

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Q: Question Using Rolle's theorem for the following function, find all values c in the given interval…

A: f(x) =2x3+452x2+21x-2Since f(x) is a polynomialIt is continuous on -4,2It is differentiable on…

Q: Use Newton's method with the specified initial approximation xo to find.x2, the third approximation…

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Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci. Show…

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Q: Use the first derivative test to find the location of all local extrema in the interval (0, 27) for…

A: answer is in  next step

Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

A: As per given question  We are going determine the volume

Q: Find Duf at P. f (x, y) = 3(4 +xy)2; P(4,3); u = 1 i+ j NOTE: Enter the exact answer. Duf

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Q: : s ech[In cosx]tanx dx Evaluate: A None - 2 tan-1(cosx) + C 2 tan -1(e cosx) + C CoSx (D - 2 tan…

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Q: +00 (-1)" cos(g) = >. g²n for all g e R (2n)! n=0 Calculate by using the 4th degree of Maclaurin…

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Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 40°. Mountain…

A: Solution: Given:  ∠DAC = 40°So, ∠BAC = 180° - ∠DAC ∠BAC = 180° - 40°∠BAC =140°

Q: Suppose that c=41, a=57, and C=27°

A: answer is in next step

Q: x -x-2 True statement for ƒ(x)= is.... х-2 1. © f(x) continuous at x = 2 2. O f(x) discontinuous at…

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Q: 1 Find the sum of the following convergent series: > L n? – 3n + 2 - n=3

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Q: 13 4. Consider the function f(x)% = for a 2 (a) Draw a graph of this function on the interval [0,…

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Q: 2.

A: Explained below

Q: de Evahuale integ. w) partiar frac. calcu larors no

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Q: What are all the cube roots of -1 in the complex plane? Mutiple choice options: 1 -1 e(5π / 3 i)…

A: Given problem:- What are all the cube roots of -1 in the complex plane?   Mutiple choice options:…

Q: Find the angle 0 between the vectors in radians and in degrees. u- o()i + sn()i, v - co( + sm)i…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (18, 4, –1) Vw(18, 4, -1) =|…

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Q: lim (sin r)tan z T/2

A: Given problem :- Identify the indeterminate form and evaluate limx→π-2sinxtanx

Q: A vertical plate is submerged in water and has the indicated shape (trapezoid). Express the force as…

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: Provide the parametric and symmetric equations of the line that passes through the point (4, -3, 5)…

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Q: b) (-1)"3n² 4n²–1 n=1

A: We will use root test.

Q: V3 3 9) 9 +x2

A: The given integral,        ∫0339+x2dx

Q: Calculate the moments My and My and the center of mass of a lamina with the given density (p = 3)…

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Q: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 12t – 6 for timet > 0. If the…

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Q: бх + 9 dx V6х — х2

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Q: Evaluate the integral. 3 + 2 | du

A: This is a definite integral which can be solved using below formula    ∫ab f(x) dx= [ φ(x) ]ab = φ(…