1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a) a, 107 + 5" + 10

Q: Use Newton-Raphson's method to determine the root of e^x sinx = 1 up to 15% error estimate. Use init...

A: ----------------------------------------------------------------------------- fx = exsinx-1f'x= exsi...

Q: lim square root of (n + 2i) – square root of (n + i). C. O 12. Evaluate the ninfinity B.1 A. 2/i

A: We will multiply and divide by a factor which numerator a square type and will remove square root sy...

Q: Since lim k→+0 (k + 1)!/3k+1 k!/3* k+1 lim k→+∞ 3 +00, k! the series (converges/diverges/inconclusiv...

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Q: Describe the surface of 4z2 – 4x² – y = 4 - |

A: The general equation of a  hyperboloid on two sheets is given by x2a2-y2b2-z2c2=1 notice that there ...

Q: Since (k + 1)!/3k+1 lim k +1 lim k→+∞ 3 +00, %3D k→+0 k!/3k k! the series (converges/diverges/inconc...

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Q: What is the general solution to the differential equation 2e* cot(y) dx – (4 + e*) csc²)dy = 0 ? (4 ...

A: Here, the given DE is: 2excot(y)dx-(4+ex)csc2(y)dy=0

Q: t (s) 0 0.2 0.4 0.60.8 1 s (ft) 00.45 1.5 3.8 6.59.6 Find the average velocity over the interval 0 <...

A: Average velocity =V=(displacement between two points)/(time needed to make the displacement)   V=( s...

Q: 1. Find the area of the region bounded by the graphs of the equation Y = x and y = x2.

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

Q: Determine the values of r for which the differential equation y" – 36y = 0 has solutions of the form...

A: We have to find the number of values of r which satisfies the equation.

Q: ak+1 If lim k→+∞ ak = 5, then ak diverges. k=1

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Q: Please answer the question below: 1.) Explain why the integral below is an improper integral and wha...

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Q: x'e-2x dx 20 dx 2

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Q: - Find: if x<1 if 1sx<2 if x 22 f(x) =x a. lim f(x) d. lim f(x) X-2* 2x b. lim /(x) e. lim f(x) c. l...

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Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A: This question is based on finding inflection point of function.

Q: dy find dx t - 1 If y = t and æ = t+1 dy A. 2t(t + 1)2 dx В. dy = t(t+1)² dx dy 2t С. dx (t + 1)? dy...

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Q: Answer

A: Please refer to the image below

Q: solve for nonbermagnenous difleemrial equation.

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Q: Eliminate c, x'y =1+ cx (2+x3y)dx + xdy = 0 B (1+x?y)dx + x³dy = 0 © (1+x?y)dx + x²dy = 0 D (1+x3y)d...

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Q: Find and classify all critical points of the function f (x, y) = x* + y* - xy. 4(0) = 4 (010) D= 12(...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: dx x2 (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb in...

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Q: 12. How many positive integers less than 1000 are divisible by either 13 or 17? a) 134 b) 130 c) 76 ...

A: First check the divisibility for 13 then 17 then common in both. 

Q: 2-Vn n=1

A: Here, the given series is: ∑n=1∞2-n=∑n=1∞12n=∑n=1∞12n2 which is a positive term series for all n.

Q: 1 2x-9 13 Evaluate lim 1 x→-2 - 2x+8 4

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Q: Items 15 The graph of a function f is shown. On top of the graph of f, sketch the graph of f'. Use a...

A: The graph of the functions are given as 

Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4 pound...

A: Work done on an object is defined by,         W=F.S, Where F is the force exerted on the object and...

Q: A fuel tank is being designed to contain 200 m3 of gasoline, but the maximum length of a tank (measu...

A: We have to find the height and radius of the fuel tank which costs minimum using differentiation.

Q: You are inflating a spherical balloon at the rate of 7 cm³/sec. How fast is it radius increasing whe...

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Q: Solve the given differential equation. All solutions should be found. dy e9 +13y da NOTE: Usec for t...

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Q: Make 3 unique examples of domain and range in real life scenarios. Please highlight the domain and r...

A: To write: 3 unique examples of domain and range in real life scenarios.    

Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms ...

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Q: Find the derivative of y(x) = In (9(ln(x))’). (Use symbolic notation and fractions where needed.) dy...

A: To find the derivative of yx=ln9lnx7.  

Q: INTEGRAL Evaluate the following: S(a- S (a – x)-³dx 3.

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Q: Determine the approximate root (x_r2) of the f(x) = 0.35x^4+2x^3 -x^2+0.36x +4, upto 2 iterations us...

A: f(x) = 0.35 x4 + 2x3- x2 + 0.36 x +4 f(-2) = -9.68 &lt; 0 f(0) = 4&gt;0 Hence, a root lies between -...

Q: 2. Given that r(t) = 2 sin ti + 2 cos tj+ tan tk. Find the unit tangent vector T(t) at the point wit...

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Q: V3 2 dy 1- у?

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Q: 2 S (x+) dx C cor?(?r)dr

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

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 2n2 + 9n + 5 an ...

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Q: 2 x y ey + y² e*v° +1) dæ + (æ² e**v +2 x y e" ° – 2 y) dy = 0

A: We have to solve given differential equation.

Q: Answer this question please.

A: Rotation of matrix about a line through origin : Change the given point into polar form and check th...

Q: Determine the area of the region enclosed by x=12y^2−3 and y=x−1

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Q: Evaluate the following: 1. S(6x² – 4x + 1) dx

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fx...

Q: Question 3 Consider the function h(x,y, z) = e10-xy + sin(2nz). (а) (i) Calculate the gradient of h....

A: As per bartleby guidelines we only give first question answers with subpart.

Q: 3 ť'y" +7t y' +1o yoo

A: A detailed solution is given below 

Q: A spacecraft launches from the International Space Station and flies directly away from the earth at...

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Q: Given the graph of f(x) below, which of the following limits exist? o a lim, s f(z) O b. lim,, 3S(z)...

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Q: Use logarithmic differentiation to find the derivative of the following: 8. h(x) = 25x34x² ans. h'(x...

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Q: Find the slope-intercept form of the equation of the tangent line to the curve defined by x-2 3 fra)...

A: Equation of tangent line at the point (a,b) of the curve y=f(x) is f(x)-f(a)=f'(a)x-a

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

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Q: 1 Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) ...

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Q: x1 x + dx

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