Find the interval of convergence (-1)"n (x + 3)" 4" n=1

Q: Consider t=[−6, 2] and s=[2, 2] a) Without determining the angle between the vectors, determine whe...

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Q: Find the area of the region enclosed by the curves x = 7- y and y = Vx+5, y = 0. Give the exact answ...

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Q: Find all the real zeros of the polynomial P(x) = x +x - 3x + 1. -1 Its real zeros are x¡ = , X2 = an...

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Q: For the given function, find all values of c over the interval (, 22) stipulated by Rolle's Theorem ...

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = square root...

A: This is a problem related to find area of the curve using integration. Please use below method to so...

Q: S sin? x dx

A: ∫sin2xdxUse the identitysin2x=1-cos(2x)2∫sin2xdx=∫1-cos(2x)2dx                 =12(∫1dx-∫cos(2x)dx)

Q: Let y be defined implicitly by the equation -4x2 + 7y- 2x-3y 44. dy Use implicit differentiation to ...

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Q: a Disaster Strikes Gridtown: there is a pothole on 8th ave between Seh st and 10th st. How many rout...

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Q: Sketch in the two level curves of: f (x, y) = y+ x² = k _for k = 1, 2.

A: Solution is written in below steps.

Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by...

A: Here we will find the total US sales of bottled water from start of 2008 to start of 2010,

Q: Find h'(-2) if h= fog. f(z) = 372 + 8 and the equation of the tangent line of g at-2 is y= 4x 6.

A: Here we have to find h'(-2) if h=f∘g , g(x) =3x2+8 and the equation of the tangent line of g at -2 i...

Q: Evaluate A. 1 B. 3 C. 2 D. 4

A: The objective is to evaluate the integral.

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the...

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Q: Express −i+j in the form [a,b]

A: Simplification

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few t...

A: The given sequence,       14,-45,96,-167,258,......

Q: 7. S sin? x dx

A: The given question has been solved in detail

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of integrat...

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Q: The Extended Euclidean Algorithm allows us to efficiently compute inverses in Z∗n (and also in Galoi...

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Q: (a) | (2x cos y + sin x) dx 6. */2 (b) I| (2xcosy+ sin x) dx dy

A: Solving integral 

Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e* +...

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Q: 2x + 1 ds x2-7x+ 12 A. -7ln]x-3|+ 9ln|x-4| +C B. 7ln/x + 31 + 9ln/x+ 4| +C c. -7ln]x+3|- 9ln]x + 4| ...

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Q: Evaluate: A. T B. V c. V D. еп

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Q: Rate of Evaporation The Los Angeles Zoo plans to transport a California sea lion to the San Diego Zo...

A: Given : At any time t ,the blanket will lose water (due to evaporation) at rate proportional to the ...

Q: 1.)D, show why

A: Answer :- CAN'T TELL. 

Q: 6. Given that k is an arbitrary constant, find the orthogonal trajectories of the following family o...

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Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Evaluate the integral of the following transcendental functions. dy 4) S- 19- 49 y

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = ex...

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Q: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour a...

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm...

Q: Suppose that an is a convergent series, with positive terms (i.e., an >0 for all n). n=1 (a) Does th...

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Q: The matrix A=[7    k]      [-8 −4]   has two distinct real eigenvalues if and only if k<_____ (Find...

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Q: Find the derivative of f(x) = -4x ( 3' *(3"). %D 3+4

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated te...

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Q: a) Generate an irregular figure (original) using a grapher and with the help of two functions. b) D...

A: We have to generate an irregular figure with the help of any two functions and then have to determin...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: The polynomial of degree 3,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at...

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Q: The functions f and g are continuous and differentiable with f (x) = g(x). Selected values of the fu...

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Q: Find tan a dr.

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

Q: lim 1-2 2x2-x-6 -1 lim -2

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

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Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B....

A: ∫cos3xsinxdx  

Q: 2x +1 ds x2 - 7x + 12 A. -7ln|x – 3| + 9ln|x – 4| + C B. 7ln|x + 3| + 9ln|x + 4| +C c. -7ln|x + 3| –...

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Q: Find the area bounded by the curve xy 2 and the line x+y%3D 3. A. 0.17 sq. units B. 0.11 sq. units C...

A: Let's find. 

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0

Q: (a). Write the distance from point P(, y) on the line y = 2x to the point (3, 3) as a function of c....

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Q: 2 Evaluate 2 dA where D is the region described by 0s ys 55 - x Integral is equal to : Enter an inte...

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Q: s=[−2,1,5] and t=[3,2,0] a) Determine s × t b) Show your work to confirm that s × t is orthogonal ...

A: Given query is to find indicated vector.

Q: Evaluate the sums. 6 a. (3 - k²) Σε. k=1 6 b. (k? – 5) k=1 > k(3k + 5) С. k=1

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