2x – x* .3 - 1. Evaluate dx. (x – 1)2 (x² + 1)

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A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

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A: We need to simplify 64a427b33. Now,                 64a427b33=64a4327b33=4aa327b33=4aa33b

Q: differentiałe 7x²-5xy" 3.

A: Consider  7x2-5xy3=-4

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Q: Compute the following limit. 2х-3 as x approaches o -3 04 01 03 02

A: topic - limits

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A: Please refer to the image below

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Q: 7Tt 2. sin - 12

A: Here we have to find the exact value of       sin(-7pi/2)

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Q: Problem 4 State whether false or true: The parabola is an even function. All functions are either ev...

A: Note:- This are multiple questions and according to our comapny guideline we can do maximum 3 questi...

Q: Problem 5 Given the function f(x) = 9 – 2x² a) Calculate the difference quotient at the two points P...

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Q: Hint: the conjugate of the denominator #svon sinx - cosx + 1 sinx + 1 %3D xS200is sinx + cosx + 1 si...

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Q: Two force vectors act on an object and the dot product of the two vectors is 20. If both of the forc...

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Q: Given the functionf(x) = x² – 2bx +c, where b and c are constants, determine the values of b, and c ...

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Q: Let be a function of x and y, and suppose that f(1,0) = 5. Suppose that (1,0) = <-3,4) Conasider the...

A: Required theorems: The maximum magnitude of the directional derivative is the magnitude of the grad...

Q: (a) Adjust the window settings or zoom until you have a good view of the important pa Sketch the gra...

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Q: Write an expression for the distance w in terms of x. X=-3 t-2y+1 w/

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Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) sec (x) dx

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Q: a. 2i is a zero of g(x). Explain why -2i must also be a zero of g(x). b. Show how to use Synthetic D...

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Q: Consider the series given below: Σ 3n n=1 a) Find the values of x for which the series converg

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Q: Determine if the improper integral converges and, if so, evaluate it. dx | 8+x Write F if the integr...

A: We will evaluate the integral.

Q: Find the maximum and minimum values of g(t)=|t−6|+7 on the interval [−10,10].

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Q: Let ​h(x)=​f(g(x)), where f and g are differentiable on their domains. If ​g(−1​)=2 and g′​(−1​)=7​,...

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Q: Find the local extrema and saddle points of f(x, y) = x² – 4xy + y° + 4y.

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Q: A river is 5 km wide and flows at 4 km/h. Sam has a motorboat, which has a speed of 23 km/h in still...

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Q: 7. The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level...

A: We have to find the velocity, maximum height and time to reach maximum height.   According to our gu...

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A: Consider the graph of function f   

Q: Cxe tyニ3 2. y"=? ニ

A: We will find the y" as shown below

Q: Find and sketeh the domain of the function f(x, y)= ln| xy - 1 Vy-x² ху —1

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Q: For f(x) = 2x - 4x + 3 find the following. (A) f'(x) (B) The slope of the graph of f at x = - 4 (C) ...

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Q: Solve using 3 Differential techniques: (w^2+6z^2)dw−4wzdz=0; x=6,y=9

A: follow next step

Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $11 the ave...

A: We have to find the price which yields the maximum revenue.

Q: Compute the discriminant D(x, y) of the function. f(x, y) = x' + yt – 6x – 2y² + 1 (Express numbers ...

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Q: 15. A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4mr) w...

A: Please refer to the image below

Q: The given graph of the derivative f′ of a function ff is shown. Assuming the graphs continue in the ...

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Q: 1 I3 = %3D fals true

A: we need to find the given is true or false.

Q: Compute 22 mod 3, 24 mod 5, 26 mod 7.  What do you notice?  Does Fermat predict your answers? (If yo...

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Q: 4x – 9y = 1 find the first derivative

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Q: Find each limit. Use - o or oo when appropriate. 4x -8 f(x) = - (x-8)4 (A) lim f(x) (B) lim f(x) (C)...

A: A)

Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge. 3 , da = x2 – 9 -

A: Given query is to find the value of the integral.

Q: L L [cosh²(t)]

A:

Q: Find dy / dx by implicit differentiation. xy + 5x + 5x2 = 2 dy / dx =

A: xy+5x+5x2=2

Q: pxp XA

A: Explanation of the answer is as follows

Q: on 3.2 p. 283/285 # 90 pute the following integrals using the guidelines for integrating powers o no...

A: Please refer to the image below