cos x 3) 1+ sin x 6) [cosh vdv

Q: Evaluate: a In(x + y) e-y. dy dx

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Q: Evalvate the limit lim Cos x In(x-) -IT メーフクT ne-e

A: The given limit is: limx→π+cosx lnx-πlnex-eπ To evaluate the given limit.

Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

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Q: f(x) (x-1)(x-4). %3D x+4

A: Topic = Functions

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Se...

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Q: Critique the validity of the expression d2y dy dx2 dx A) It is not valid, because the notation d?y d...

A: The objective is to critique the validity of the expression. 

Q: Factor the difference an+1 – a, to show that the given sequence {a, } is strictly increasing or stri...

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Q: Calculate the improper integral if it converges, or show that it diverges. 3x4 dx 5 – 1 -

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Q: f(x) to 2. 2.

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Q: lā + b| = |a + b|

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Q: The following three vectors are coplanar: (3,5,6), (6,10,12), (-3,-5,6) True False

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Q: Evaluate the integral. Show all your work. sin? x cos' xdx

A: ∫ sin2xcos3xdx

Q: f(x) = -2x2-2x+4 is %3D x-1

A: Follow the procedure given below.

Q: Solve. 2 In x= -8 ... Select the correct choice below and, if necessary, fill in the answer box to c...

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

Q: Integration. Evaluate the following

A: Given that: 1. ∫x2x3+7x-5x+10dx2. ∫y2+6y-3dy

Q: (a) Find the point of intersection of the tangent lines to the curve r(e) = (5 sin(at), 6 sin(æt), 4...

A: Given:   r(t) = ⟨ 5 sinπt , 6 sinπt , 4 cosπt ⟩    When t = 0 and t = 0.5

Q: Evaluate the integral. Show all your work. dx (x² – 1)32

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Show all of your work in this problem. Consider the infinite series k Σ k +1 k=1 (a) Write down the ...

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Q: Type C if the statement is TRVE Type A if the statement is FALSE Typc D if the statument is NCIther ...

A: Given statement is  fx and fy are the special cases of directional derivative in the directions of t...

Q: 16 Evaluate ex12 (x4 – 2x² + 1)²dx. 81

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Q: Evalvate the limit lim Cos x In(x- TT Xーつク nピ-e)

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Q: Express the repeating decimal as a fraction. 0.101010...

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Q: Question Find far for f(, e tan(). Sorry, that's incorreci. Try again?

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Q: In Exercises 9-26, find fx, fy, fx, fyy, fry and fyx- 9. f(x, y) = x²y + 3x + 4y – 5 10. f(x, y) = y...

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Q: Evaluate the Integral iF the funthun X = = XSin (xy) ニ over the vecfongulor region R- [0,1][1, 2]

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Q: 4. Find all the first partial derivatives of the following functions with respect to each variable. ...

A: For partial derivative, we only differentiate with respect to one variable keeping other variables a...

Q: 1. f(x) = -|x + 6| + 5 Range: x-int: у-int: Intervals on which f (x) is decreasing: Relative Extrema...

A: f(x) =-x+6 + 5                                      

Q: tan x sec xdx

A: Follow the procedure given below.

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: 16 Evaluate x1² (x4 – 2x² + 1)²dx. - 81

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Q: Find the differential of each function. (a) y = tan(V5 dy = 1 - v2 (b) у 3 1 + y2 dy =

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Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

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Q: Evaluate the limit (inx)" 10 lim x+5+(In 31x+10+(Inx) ×つ

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Q: immediately

A: We will find the integral. 

Q: Find the maximum rate of change of f(x, y) = In(x² + y?) at the point (-4, -3) and the direction in ...

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Q: dy (8y – a²y) + x – xy² = 0 dx

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Q: Implicitly derive all variables in terms of x. Equate the derivative in terms of y'. Simplification ...

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Q: Determine whether the integral is convergent or divergent. The integral from 0 to 11, 1/(11-x)^1/3 d...

A: The given integral is  ∫011 1(11-x)13dx  

Q: Let g(x, y) = cos(x + 2y). a. Evaluate g(2,–1). b. Find the domain of g. c. Find the range of g.

A: The function,      g(x,y)=cosx+2y

Q: If x2+y?+z? = 9, dt dx dy = 7, find zp dt when (x, y, z) = (2,2,1). = 8, %3D %3D dt dz dt X when (x,...

A: Given x2+y2+z2=9dxdt=8, dydt=7     

Q: 3.

A: Given that, There are two equilateral triangle. Area of small triangle is 64(3)1/2 m2. Distance betw...

Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (1, -3) in the direction 0 The...

A: We have too find direction derivative.

Q: Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal places...

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Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: Horizontal, vertical, and slant asymptotes using limits

A:

Q: The demand for a new computer game can be modeled by p(x)= 58.5-5 In x, for 0Sx5800, where p(x) is t...

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

Q: Suppose that in 1662, a man bought a diamond for $34. Suppose that the man had instead put the $34 i...

A: The continuous compounding formula is P(t)=P(0)ertwhere P(0)= the initial amountr = the rate of inte...

Q: If f(x)=x, then f'(5) = (A) 0 (B) 5 (C) 1 25 (E) (D) 5

A: Topic:- derivatives