Which one is correct for the sum of the geometric series O O O 9 10 11 5 17 10 6 5 O Divergent Σ1 (4)"

Q: The answer for x is correct but the answer for dy is wrong.

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Q: 3. What is the arc length of y=e* from x= 1 to x=5? Draw the curve

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = 8x-4xy+3y,…

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Q: Find the directional derivative of f(x, y) = 3x² - 2y² at point ,0) to point 3 (-2-1,0) 0(0,1). in…

A: Let's find directional derivative.

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Q: (1) Use the definition to prove that if x → 2 then (2x + 1)/x → 5/2.

A: xn→2 (2xn+1)xn

Q: Choose the value of the area of the region enclosed by the curves y = 6x³, and y = 6x. O 3 O mla 316…

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Q: Let f(x) be the following piecewise function x² + 1, 1 (x+1)² 2x-3 x²+1 f(x) = if x < -1 if -1 < x <…

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Q: Graph the function showing all relative extreme points and inflection points. f(x)=√√√x6 + 4 ++ 2 3…

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Q: eley y³ dx + (27x-x³) dy, where C₁ is the unit circle given by r(t) = cos(t)i + sin(t)j, 0 ≤t≤ 2m.…

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Q: So if I write the position vector r(t)=OP=, is it correct? or does it has to be r(t)=<x,y,z

A: Solution is here

Q: Evaluate the integral using the following values. 6 6 6 [°x³ dx = 260, ["x dx = 10, [° dx = 2 + 6 (³…

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Q: Q4 (a) Calculate the surface integral: [] (² + (y² + 2yz) dS where o is the first octant of the…

A: To evaluate the surface integral Given plane 2x+y+2z=6

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Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A: Given problem:- The population of mosquitoes in a certain area increases at a rate proportional to…

Q: y = x², y = 4x - x²

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Q: 2. Simplify the following logarithms and If possible, write the following as a single logarithm. 1…

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Q: Find the unit vector in the direction of =(-4,-2) Give EXACT answer. You do NOT have to simplify…

A: Topic = Vector

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Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: EX: Show that d² = 2πi where c is a unit § Z circle. C:1Z1 =1 Sol: ie Z= re io dzir e do 24 io ixe…

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Q: Answer got marked wrong, please fix it.

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Q: 2. Use the Limit Comparison Test to determine whether the following series converge or diverge: a)…

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Q: etermine the Laplace Transfor f(t) = 3te-5t cos(2t) stands ca

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Q: Find dw/ds and aw/at using the appropriate chain rule. Evaluate each partial derivative at given…

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Q: 1. Sketch the graphs of x = 6y-y² and x = y² - 8. Shade the region bounded between the two curves.…

A: We want to find the area of region bounded between the given curves

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A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides with…

Q: f(x) = (x-1)^3 (x-1) (x-2)

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Q: Find by implicit differentiation, given that x²y – 4y5 = -8. Your answer could involve both x and y.…

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Q: Integral Calculus  (Please write the complete solutions. UPVOTE WILL BE GIVEN! NO LONG EXPLANATION…

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Q: Find curl(F x G) = V x (F x G). F(x, y, z)= i + 7xj + 6yk G(x, y, z) = xi - yj + zk

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Q: Use implicit differentiation to find dz/dx and dz/dy. X - z = arctan(yz) 218 дх 3: ду = = 1 22 yz +1…

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Q: 1. Condense 3 log, x + -log(x-1) - 4 log(x + 2) into one logarithmic expression. 2. Solve 7³t = 100.…

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Q: find the derivative of V(t)=260e^(0.6298t

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Q: Wallis Formula Evaluate the following integrals. sin (3x) cos5 (3x) dx 1. 2. 16 4 [*³* sin³(2x) dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use the rational zeros theorem to list all possible rational zeros of the following. g(x) = - 10x³ -…

A: The given polynomial gx=-10x3-8x2+8x-4

Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n

A: Given :an=-1n+12n

Q: Perform Basic Vector Operations Given d = (-5, - 10) and b = ( − 3, 3), find ||ď – 6|| and ||ď || –…

A: This is a problem related to vector operation. Please follow the procedure given below.

Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

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Q: Convert the degree measure to radian measure as a multiple of π and as a decimal rounded to three…

A: To convert each degree angle into radians.

Q: Choose 1. Determine the radius of convergence and interval of convergence. (x+1) 2n 00 n=1 n! (x-2)"…

A: a) The summation of (x+1)2n/n!,  n from 1 to infinity.  b)  The summation of (x-2) n/[(n+1)3n], n…

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Q: The owner of a local hair salon is planning to raise the price for a haircut and blow dry. The…

A: Given Problem:- The owner of a local hair salon is planning to raise the price for a haircut and…

Q: Find the centroid of the region bounded 1 y = 6 sin(x), y ==x, and x = The centroid is at (x, y)…

A: The solution is given below

Q: y 42², x², y y = 0, x = 4

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Q: Use Euler's formula to write the expression e²+8i in the form a + ib. Round a and b to four decimal…

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Q: Express the number as a ratio of integers. 1.325 1.325325325.... -

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Q: Write the following equation in logarithmic terms. Do not simplify your answer. e5 = 4.5 Answer ||…

A: we have to write the given function in logarithmic terms . For this, first we should know some…