Use the Root Test to determine if the series (-1)"2* en² (2n² – 1)" n=1 converges or diverges.

Q: Determine the area of the trapezoid 8 ft 15.6 ft

A: Given query is to find the area of the trapezoid.

Q: Match the integral expression on the left to an equal expression on the right.

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Q: Find the acceleration of the potato at 0.5 s ft/s?

A: s(t)=-81t2+225t+3acceleration a(t)=s''(t)consider s(t)=-81t2+225t+3Differentiate with respect to ts'...

Q: • y=3 •x= /9– y² Consider the integral (2² + y?)*/*dæ dy. - 3 Jx=0 a) Using the bounds of integratio...

A: To solve the following integral using polar coordinates

Q: Rewrite the following integral using substitution: s8 (1+3x)?dx

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Q: Determine whether the series converges. k=1 The series

A: The given series,       ∑k=1∞k4e-k5

Q: • Use the trapezoidal rule with n = 8 to approximate %3D cos(x) dx Keep at least 2 decimal places ac...

A: USE Trapezoidal rule with n=8 

Q: Find the volume of the solid obtained by rotating the region bounded by y = x, y = 0, and x = 4, abo...

A: The given problem is solved below in detail.

Q: x3 2. J Sadx 2. 3.

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Q: Question 3 Determine whether the improper integral converges or diverges. 14e5x dx A Diverges B Conv...

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Q: 12.4(1-3n) – 2n = -20 - 6n

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Q: sin(4-y)sin(3-y)dy

A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider ∫sin(4-y)sin(3-y)dy=∫12(cos(4-y-3+y)-cos...

Q: What is the remainder when 3x* +3x - 5x - 5x +7 is divided by x+ 2i ? а. 12+3i c. 34 + 12i b. 8-25i ...

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Q: Use the Method of Substitution to find the indefinite integrals: a) / te“dt (q

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Q: In (x + 3* V-1) Differentiate: h(x) %3D Differentiate g(x) = 3x+2 Use logarithmic differentiation to...

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Q: 15. The following broken-line graph displays the depth of snow over a 2-day period. Depth of Snow 40...

A: To find out the rate of snow falling for first 6 hours. 

Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: 4 ry sin (x? + y*)dxdy Find

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Q: For the demand function q= D(p)3D226-p, find the following. a) The elasticity b) The elasticity at p...

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Q: Compute the area of the surface formed when f(z) 2V1-z between -1 and 0 is rotated arou nd the -axis...

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Q: Evaluate the sums. а. 4 k=1 7 b. -2k k=1 7 > k(2k + 1) с. k=1

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Q: If g is continuous at a and f(x)=(x² -a )g(x)., find f'(a). S(x)-f(x,) Hint: Use f'(x1) = lim x-x1 %...

A: Given query to find the derivative at x = a.

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 5"...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Find the exact arc length of the curve over the stated interval. y = 3x/2 - 2, from x = 0 to x = 1 %...

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Q: find eigen value of matrix A 3 -2 A %3D -니 2. 2.

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Q: 5 (23 — 2) (2а? — аг)* dar

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Q: 1. Use finite approximations to estimate the area under the graph of the function f (x) = x³ between...

A: The function fx=x3 between x=0 and x=1

Q: Evaluate the following integrals. (a) / (sin æ)(tan²r + csc², x) dx

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: er the following function and express the relationship between a small change in x and the correspon...

A: Topic:- application of derivatives

Q: proximation at z = 0 to sin(4r) is A + Bx where A is:

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Q: A www-awu.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7 M Gmail 9 YouTube Profile 3...Jlabilu P PicsArt...

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Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: The function is not one-to-ane. Delete part of the domnin so that the function that remains is ane-t...

A: solution:-f(x)=x-32for x≥3, f(x)≥0y=f(x)=x-32y=x-3x=y+3hencef-1(y)=y+3,  y≥0  

Q: Eväluate the following. 1. ſ csc?dx 5

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Q: Consider the following function RX) - 9x - 7 Determine whether the function is even, odd, or neither...

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Q: P(x)= x^3-2x-4 a) factor P into linear and irreducible quadratic factors with real coefficients  b...

A: Here, the given polynomial is: P(x)=x3-2x-4

Q: Determine f'(1) if f (t) = log10,ti t+1 17 Your anSwer

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Q: A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 13, f(1) =...

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Q: 5- State the period, amplitude, horizontal translation (phase shift), and equation of the axis for e...

A: Given: (1)   cos2x-π2-3 (2)  -cos12x-π6+1

Q: g(x) = 190 + 8x3 + x4 (a) Find the interval of increase. (Enter your answer in interval notation.) F...

A: Given g(x)=190+8x^3+x^4

Q: A hot air balloon rising straight up from a level field is tracked by a range finder 500 ft from the...

A: This question is based on application of derivative.

Q: Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ...

A: Given that, (a). f'(-3) = 0  and   f''(-3) = -9 (b). f'(5) = 0  and   f''(5) = 0 We have to choose c...

Q: why should y>0 ?

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Q: Florist Mehdi’s flower sales can be modelled by the function  f (t)  =  (7t + 8)e0.58t, where t is m...

A: We need to find average sales in % weeks.

Q: S(-P +2u + uP)du No appropriate Match Scot*(x)csc°(x)dx o f-u-2u7 -)du

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Q: Q1. Fill in the blanks with a suitable mathematical expression. a) The function f (x) = sin(2x) is p...

A: According to Bartleby's guidelines we are allowed to solve only 1 question at a time. So, here's the...

Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 4- 2- 0.5 1 ...

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Q: 1-Vy dy Vy 4

A: We need to find the given integral.  

Q: the plece wises f uc tion below Find fon the L,じ,ondL asxtO of sinx = (x7f ex-1 %3D *ンo

A: Given query is to find the limit of the function at x= 0.

Q: Find an equation of the ellipse that has center (-3, 4), a major axis of length 12, and endpoint of ...

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