1+ 2+...+n 2. Let n be a positive integer. Evaluate lim if possible. If not possible, explain n2 why.

Q: Find length of curve y= 2/3 (1+x^2)^3/2,  0<= x<=1

A: Let's find. 

Q: xsin-1(x) If x =0.56 and y = 0.23, then value of C in the antiderivative of F(x) = is V1-x²

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Q: farmer who owns a field adjacent to a straight river wishes to fence a rectangular area. No fence is...

A: Given query is to find the dimensions of the rectangle.

Q: $25,600 is invested at 5% compounded monthly, how much will this investment be worth in 7 years?  Ro...

A: Given query is to find the future amount.

Q: Determine whether the variation model represented by the ordered pairs (x, y) is of the form y = kx ...

A: here it is the y = k/x form and  now k = y*x put the value  k = 4*1 =4 k = 8*1/2 =4 k 12*1/3 =4 so f...

Q: Prove the identity. (Recall sinh(a + b) = sinh(a) cosh(b) + cosh(a) sinh(b).) sinh(2x) = 2 sinh(x) c...

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Q: Tutorial Exercise Determine whether the series is absolutely convergent, conditionally convergent, o...

A: This question is based on ratio test.

Q: 18) Find a + b, 2a + 3b, |a|,  and |a - b|.  a = 2i - 4j + 4k, b = 2j - k

A: The objective is to Find a + b, 2a + 3b, |a|, and |a - b|.

Q: 3x=3y in polar form

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Q: xsin-1(x) is If x =0.1 and y = 0.11, then value of C in the antiderivative of F(x) = V1- x?

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Where is f(x) = differentiable? %D

A: The objective is to check where f(x) is differentiable. 

Q: Let x = 0.42 and y = 1.1. Determine the value of C when you evaluate tan-(2x)dx. ( Use 2 decimal dig...

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Q: f"(x) = 13r- (x²-1)a 2.f(x) = f'(x) = r* +1) 4x (x²-1)2 Determine the intercepts. Determine the equa...

A: f(x) =2x2x2-1Intercepts:x=0, y=0(0, 0),y=0, x=0X and Y-intercept: (0, 0)Asymptotes:x2-1=0x=1, x=-1  ...

Q: Find the directional derivative of the function h at the point (1,1,1) in the direction of vector v....

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Q: Using implicit differentiation, what is the value of dy/dx in 4x-x²y+y³ = 10 at point (1,1)?

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Q: Suppose that ABCD is a parallelogram, and B= (0,b), A = (-1,3), C = (4,4), D = (a,0) What are the va...

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

A: Given problem:- Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.   xydx - (...

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 5t, y = 9 –...

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Q: 9) In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. ...

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. x = 8 - y², x = y...

A: Let's find. 

Q: Use the given graph of the polynomial function to complete the following. (a) The x-intercepts are (...

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Q: SAQ 1: If f(x) = x² + 5x – 3, show analytically that lim f(x) = f(2). X-2

A: Topic = Limits As per guidelines , At a  time only one question can be answered out of different mul...

Q: Let F(x) = f(x)+ g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“, Determine the value ...

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 - x - In(x) (a) Fin...

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Q: A garden shop determines the demand function q = D(p) : 4p+1000 during early summer for %3D 40p+26 c...

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the ot...

Q: Use the fact that the volume of a tetrahedron with adjacent edges giv by the vectors u, v and w is 1...

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Q: TT 1 4.) S“ S,x² sin(xy) dydx

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: 4 CSC* x

A: ∫csc4xco2xdx

Q: f(x) * a = 49 (2n – 1)! 2". 72n + 1 + (x – 49)" n = 1 1 ㅇ윽+>m.72n+ 1.n! 1 (x - 49)" n = 0 1 1:3.5. ....

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Q: [()-](の) 4 3 |

A: We simplify the expression to understand why is the result negative.

Q: Gren thint sin (A+i6) = xtiy, 28 Prove that, 9父+ =1 snh'B 1) x essec?A -y' sec'A =1

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (6...

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Q: PROBLEM [ B6 (a) ]: Obtain the differential equation whose general solution is y=a sin 7x – bcos 7z,...

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Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

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Q: Given f(x, y, z) = ry' z°. Which of the following is the gradient vector of f at the point (1,-1,-1)...

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Q: 00 n+47 Vn²+3n)n=1

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Q: A pelican flies 26.5 kilometers in 3 hours and 20 minutes. Find the unit rate.

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Q: x2ex b. Evaluate lim by using T.E. X-0 CoSX-1

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Q: 10+ 8- 4+ 2+ 2 4 6 10 8. 6

A: Of the 2 graphs, find the largest open interval on which f is increasing and decreasing. Then find t...

Q: – sin x show that - In |sec x +c ??? %3D COS X

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Q: Suppose you know the following: f( – 3) = 4 f'(- 3) = 5 • f'(x) is continuous for all a Find the fol...

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Q: 3 Evaluate y cos (z') dx dy dz

A: Explanation of the answer is as follows

Q: Solve the system below using elementary row operations. Show your steps and labels.  2 x + y – z = ...

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft/min, and its coarseness is such that ...

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Q: Using Newton's divided difference formula, find the missing value from the table: 14 15

A: Solution of question is written in below steps.

Q: Q9 i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that...

A: If  limn→∞ an  exists and is finite we say that thesequence is convergent. If  limn→∞ an  doesn’t ex...

Q: Use logarithmic differentiation to find the derivative of the function. y = x4 sin(x)

A: We know that logrithm property is  ln(xm) = mln(x) And derivatives of d(lnx)/dx  = 1/x    Here i att...