Find the exact length of the curve. 1 y = + 10x37 6 1 ≤ x ≤ 3

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Q: Reduce the rational expression to lowest terms. 2p² + 12p+16 2 4p²-4p-80 2p² +12p+16 4p²-4p-80

A: I am attaching image so that you understand each and every step.

Q: Given x³ + xy - 4x = 4: dy (a) Find by differentiating implicitly. Do not substitute for y. dx dy dx…

A: Explanation of the answer is as follows

Q: six 3x sin B. Sin³ x + sinx+c Csix 3 x sinx D.six x + A B C

A: We will solve the problem

Q: Derive the Maclaurin and Taylor Series of the function below:

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Q: 3. Find the integrating factor e∫Pdx then find the general solution. 2(y - 4x2)dx + xdy = 0

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Q: The statement (A + B) - (C' n B) = (A + C) is an identity. (Hint: draw a Venn diagram of the LHS and…

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Q: In the following table the values series y are consecutive terms of a series which the number 31 is…

A: Concept: Newtons forward difference interpolation method: Extrapolation is the process of computing…

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Q: 5 4(x²+y²) Qu/ If w = f(u, v) = cos uv, u = xyz , v = aw Prove that = 0 at the this point (x,y,z) =…

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Q: Problems: Solve the following differential equations: 9- (e + In y)dx + (+)dy=0 y

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 3) Find equations for the lines: a 21 g. The line through (0.-7,0) perpendicular to the plane…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Find f'(x). f(x) = = O V 10x - sin²(7x) 1 f'(x) = = 2√/10 - 14cos(7x) 1 f(x) 2√10x - sin² (7x) 10…

A: This question is related to differentiation, We will solve it using given information.

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Q: Determine if the following integrals converge or diverge. If the integral converges determine its…

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Q: When applying substitution (u=tan(x)) to [s sec¹(x) tan(x) dx is equivalent O a) [ (u³ + u) du O b)…

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Q: Y=t-2√√x + X

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Q: QuIf w=f(u, aw Prove that əx v) = cos uv, u = xyz ,v= 4(x²+y²) = 0 at the this point (x,y,z)=(1,1,1)

A: w=fu,v=cosuv, u=xyz, v=54x2+y2

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Q: A load W = 400 lb. is attached to the beam. The tension force, T., in the cable is given by: T=…

A: MATLAB code: % Defining the constants W = 500; % (in lb) L = 120; % (in inch) h = 50; % (in inch) 1…

Q: Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y=2rsinė

A: this is a problem of differential. Based on the general formula and concepts we will answer the…

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Q: an integral corresponding to the area of the region bounded by the curves of the functions f and g…

A: f(x) =x2 -4x  g(x) = -x2 here area function = f(x) - g(x) = x2 -4x  -(-x2 ) = 2x2 - 4x

Q: Finding Coterminal Angles In Exercises 25-28, determine two coterminal angles in radian measure (one…

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Q: Verify that the indicated function y = y(x) is an explicit solution of the given first-order…

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Q: A general solution of the separable DE. y'=. =y+1 y + 1 O inly + 1 = ²2 +C Oy²+2y=x²+C 0y² + y = x²…

A: To solve the given differential equations.

Q: Given f(x) = 1 x - 2 and g(x) = = 4 x + 3 find the domain of f(g(x)) "

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Q: A particle moves back and forth along a straight line. Its position (in meters), relative to the…

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Q: Let S = { 1 - (-1)" | n € N}. Determine inf S and sup S. Justify. n

A: We have to find the infimum  and  supremum  of the given function.

Q: - 2x - 4 if x 2 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 -1 4 1 2 3 4 5 6 8 -2 -3 -4 -5 -6 -7 -8 Clear…

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Q: 8. Determine the area bounded by x = -y² + 4y and the y-axis.

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Q: 4) Find equations for the planes: a. The plane through P, (0, 2,-1) normal to n=3i-2j-k

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Q: 500 e4 ·∞0 1+e²4 1+ezy dy -00

A: To evaluate the following integral.∫-∞∞ eψ1+e2ψ dψ

Q: -32 1 ย X

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Q: 5. Determine the area below f(x) = 10 - 2x² and above the line y = 3. 6. Determine the area bounded…

A: Given problem:- Determine the area below f(x) = 10 - 2x2 and above the line y = 3

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Solution

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Q: = [ (23a)" e1¹0z da, Consider the integral n is a natural number greater than 1, When applying…

A: Given problem:- J = ∫ (23x)n e10x dx

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Q: 9. a. Explain why the Cartesian equation 2r-5y +3= = 2 does not describe the plane with normal…

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Q: dy Give the coordinates of the point where dt y = sin(t)- t³ O (0,0) O (0.535,0) O (-0.535,0) O (0,…

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Y=t-2√√x + X

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Q: Evaluate the following integrals using FTC. Show solution

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Q: a) Using the methods of (a) Gauss elimination and (b) Gauss-Jordan, solve the following system of…

A: Since you have asked multiple questions,as per our guidelines we are supposed to answer only one…

Q: A) Find all value(s) of a such that lim f(x) does not exist [Select] B) Find all value(s) of b such…

A: Question 8 A) limx→1-f(x)=6≠limx→1+f(x)=4 limx→2-f(x)=-∞≠limx→2+f(x)=∞ answer: a=1 and a=2 only

Q: 7,000e0.1x dx   Find a substitution to rewrite the integrand as 70,000eu du. u=     du =        dx…

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