fcot(x) dx

Q: A.Test the continuity of the given functions. 1. f(x) = (x2 + x –- 6)/(x- 2) 2. f(x) =(x2 – x– 2)/(x...

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Q: Is there a difference between substituting values of a variable and the limit of a function? From wh...

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) =x<In(x) given the init...

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Q: Find the limsup and liminf of the following sequence: sin (2) а) аn = n

A: Here we have to find the limsup and liminf of the given sequence an .

Q: Find the sum of the convergent series. n = 0

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Q: A particle moves according to a law of motion s = f(t) = t3 - 15t2 + 72t, t2 0, where t is measured ...

A: Solution

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Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising expend...

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Q: mg U = k E (1 -e ktlm). At what rate is the velocity is changing at time 0? At t = 6? What do your a...

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Q: Considering the following alternating series. E(-1)*+1 V7k + 6 k=1 a) An alternating series can be w...

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Q: Evaluate the integral using the following values. 4 4 4 | x³ dx = 60, х dx 3D 6, dx = 2 2

A: As per bartleby guidelines we can do first 3 subparts

Q: of at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative f(x, y) = In (x...

A: Solve by partial derivatives

Q: Obtain gencral rolUto n Cxy) dx+ Cxty*) ay=0

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Q: f(2)=

A: Follow the procedure given below.

Q: 2. (1-y) y' = x2

A: The given DE is: (1-y)y'=x2...(1)

Q: (d) h : [2,3) → [0, x), h(x) = 3-1

A: To find which  function map onto their indicated codomain.

Q: tor field F = 21 + 4j + 3k across the surface S.

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) %3D 3 + 54х —...

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Q: 3. dr= - 4rt when: t=0, r=rO

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Q: Find the surface area generated by revolving the length of the arc of r = 1+ cose from o to Tt about...

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: Let f(x, y, z) = xy + z', x = r + s – 8t, y = 3rt, z = s*. Use the Chain Rule to calculate the parti...

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (1, ...

A: We have to find the distance between the point 1, 6, 5 and the plane x-y+2z=8.

Q: 5. (sinx + cosy)dxdy

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Q: Compute the directional derivative in the direction of v at the given point. f(x, y) = e*y-y°, v = =...

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Q: y=sin

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Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: topic -implicit differentiation

Q: Stan (x)sec°(x)dx Scot*(x)csc°(x)dx Ssin*(x)cos°(x)dx

A: ∫tan5xsec6xdx

Q: Detrminc Partiular solurion y?dx + (x*+ 3×y+4y?) ay:0jx=2,y=1

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Q: Q5.Find a vector parallel to the line of the intersection of the planes 2x + y – 2z = 5 and. N, = 2î...

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Q: Determine the particular solution. v²dx + (x² + 3xv + 4y²)dy = 0; x = 2, y = 1

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Q: の dy Sーメ+ リーX +5

A: This is a problem related to differential equation. Based on the general formula we will solve the q...

Q: Obtain 6. S y' = e+ %3D

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Q: Find the directional derivative of f(x, y, z) = xy + z at the point P = (2, –6, –-1) in the directio...

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Q: S sinx In(1 + sin x) dx

A: Given problem:- ∫ sin(x) ln(1+sin(x)) dx 

Q: Find the maximum and the minimum points of each function on the given interval. 13. f(x) = 4x3-3x2-6...

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

Q: Water at the rate of 10 cm3/ min is pouring into the leaky cistern whose shape is a cone 16 cm. deep...

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Q: 1. Using Inverse Matrix method, solve the roots of the given equation/s. The following system of equ...

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Q: af at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative f(x, y) = In (x...

A: given f(x,y)=ln(xy) and x=3r+4s ,  y=2r+11s

Q: 3. Find the Laplace transform of the piecewise function 03

A: To find the laplace transform of the given function.  

Q: Two sides of a triangle are 8 and 14. Find the size of the angle 0 (in radians) formed by the sides ...

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Q: A cube is expanding at the rate of change 64 m³/s. What is the rate of change of its surface area wh...

A: This question is based on application of derivative.

Q: y(x) =x' (2x – r²)

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Q: x6

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Q: A. Use the tabular method to evaluate the following imits. 1. Lim log2 (2x + 1) x-3/2 2. Lim 42x+ 1 ...

A: Note: As per our company guidelines we are supposed to answer the first three subparts of the questi...

Q: Determine the particular solution. dy _' x = 1, y = 0 dx x O ev/x - In(x) = -1 O ey/x + In(x) = 1 O ...

A: To determine the particular solution of the following initial value problem.dydx-yx=eyx; x=1, y=0

Q: A hall 110 feet in length is to be designed as a whispering gallery. If the foci are located 20 feet...

A: Find your answer below 

Q: Consider the following. gtx)= 6x - 7; h(x) 1.7* Find the derivative of f(x) g(x) h(x). rm- (a²-7)(in...

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Q: Consider the equation and the given point. f(x) = (x - 3)(x? + 6), (1, -14) (a) Find an equation of ...

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