arctan x dx

Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: f(x)=(x+5)23  f'(x)=23(x+5)-13  f'(x)=23 (x+5)3Let's understand f'(x) as a different…

Q: ralucte dx

A: Limit

Q: Find the length of the curve 7(t) = (4 cos(3t), 4 sin(3t), 4t) for – 4 <t < 2 Give your answer to…

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Q: dy a. Use implicit differentiation to find dx dy %3D dx b. Find the slope of the curve at the given…

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Q: Find the equation of the tangent line at the given point on the following curve. x* +y = 20. (2, –…

A: The given curve,    x2+y2=20, 2,-4

Q: (#5) Evaluate this double integral. Avoid integration by parts. Hint: Can you reverse the order of…

A: Let's find.

Q: The following statement is correct: cos y . sin x •1 cos y . sin x - dx dy. x3 dydx = [* ' ery exy…

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Q: 3. Which of the following integrals cannot be evaluated using a simple substitution? 1 xp- x +1 ,4 1…

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Q: Find atleast 1 root for the equation 32X²-5X3-11=0

A: Here we have to find the root.

Q: Find the derivative of the function at the given point in the direction of A. f(x.y,z) = In (x…

A: Solved below.

Q: cos(xy) + secy = 5

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Q: Find maclurine seris sin

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Q: A particle is moving with acceleration a(t) = 36t + 2. its position at time t = 0 is s(0) = 2 and…

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Q: An angle Θ is known to vary periodically with time, in such a way that its rate of change is…

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Q: George was required to repay a loan that matured to $4,550 on August 14, 2015

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Q: Find an equation of the plane. The plane that passes through the point (−2, 3, 2) and contains the…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: 2. Evaluate the integral csc2 (5x) d> -2csc(5x)cot(5x) + C O -10csc(5x)cot(5x) + C -cot(5x) + C O 1…

A: To solve the following problem

Q: əf. dy and In each of the following, find dx (n) f(x,y) = tan x tany %3D

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Q: Ion 14 Based on the graph, find the set of all x-values for which the points P(x, y) are on the…

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Q: Jx In x dx S x

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Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

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Q: a If f is an odd function, why is f(x) dx = 0? a U A. a Since f is odd, f is symmetric about the…

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Q: Find the area of the region enclosed by the graphs of x + (y – 1)² = 1 and 2x = -y?.

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Q: : Solution of ydx – xdy + (1+ x2)dx + x2sinydy = 0 is

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Q: 6. Figure out the following limits without applying L'Hopital Rule. sin(r- 4) V2r -1-1 b. lim (2²…

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Q: 16) 4xy dx - (6x² +y)dy co

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Q: Draw a right triangle containing 0, so that the opposite side is 2, the adjacent side is 5, and the…

A: Topic:- trigonometry ratios  Note :- as per our guideline if more than one question uploaded than…

Q: Evaluate the limits lim x² + 3x- 4. x→-1 -6 -7 -2

A: We can find the limit as below.

Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). (5 pts.) Solution:…

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Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Find your answer below

Q: 21 x² +4x+3 4. Find lim x→1x -5x+6

A: Given query is to find the limit of the expression.

Q: Evaluate each of the following integrals. 1. sin x cos' x dx

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Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 2…

A: The equation of distance S(t) as a function of time t is given asS(t) = 2 sin t , To find the…

Q: A 17-ft ladder is leaning against a wall. The foot of this ladder is sliding away at the rate of…

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Q: Find AB. Round your answer to the nearest tenth. A 28 mi 31 C B 15 mi 17 mi 18 mi 23 mi 24 mi

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Q: The graph of f is shown in the figure to the right. Let A(x)= f(t) dt and F(x) = | f(t) dt be two…

A: Definite integration

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find r(t)

Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 46°, c = 9, a = 8 mLB = 8°, m2C =…

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Q: - f(æ) = Where is %3D discontinuous? x2 + 3x – 18 - o f(x) is continuous everwhere O 3 O-3 and 6 O-6…

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Q: A radius r of a spherical balloon is increasing at a rate of 2 cm/s. Find the rate of a volume V…

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Q: 10. Create examples of functions (and also justify why it works for each): a) Continuous and…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a particular question. This…

Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) ** =…

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Q: Evaluate the given integral. [ 2x?sin(4x)dx

A: The given problem is solved below in detail.

Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). %3D Solution: Reason:

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Q: Question Suppose that the piecewise function f is defined by v2 +4, -6z+v6+5, z>1 -2<z<1 f(z) =…

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Q: Solve without L'Hopital's rule. lim x→1 [tan(1 − x)] / (2x^2 + x − 3)

A: We have to find out limit

Q: Question 2 ( Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y'(0) = 3. (a) Use the…

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Q: Find by implicit differentiation. dx x 6x + 7y = 8 dx

A: we have to find the derivative

Q: 8. Evaluate dx . 6x A) +C 6. D) -C B) +C 5x 7x7 O b C O d

A: