A given partial fraction Cx +D x² +1 2x A B + (x- 1)(x+4)(x²+1) x+4 X-a A can be evaluated as: O 1/5 2/7 O 1/9 O 1/8

Q: point is OD. (Type an ordered triple.)

A: We are asked to find farthest point from sphere.

Q: у-ахis 7 6+ 5- 4- 3. 2 x-axis -3 -2 -1 1 2 3 4 5 6 7 What is the equation in general form of the par...

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Q: Find the equation of the vertical asymptote f(x)=log(x+4

A: We have to use properties of log function to solve the problem.

Q: If .50.60.70.8 x. %3D then f33 =

A: In partial derivative we treat other variables as constant. For eg. Here x1,x2,x4 are treated as con...

Q: termine the critical points of the function f(x,y)=-2xy + y –x'. fter olessifir uhother 2ngh orition...

A: Please refer to the image below 

Q: A parametric representation of the curve of intersection of the two surfaces x2 + 5y2 - z = 0 and z ...

A: The given curves are: x2+5y2-z=0 & z=4y2+36 ⇒x2+5y2-(36+4y2)=0⇒x2+y2-36=0⇒x2+y2=36

Q: Let R be the region bounded by x = 5, y = 3x + 1, y =- 2x + 16. %3D %3D To find the volume of the so...

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Q: In how many ways can ten people be seated around a circular table if three of them insist of NOT sit...

A: Given problem:- In how many ways can ten people be seated around a circular table if three of them i...

Q: Complete the analysis and sketch the graph of the function y=x3 -x2 -8x+8. The answer should include...

A: We can analyse function as follows  

Q: in general form x² – 2x – 6y – 5 = 0? 5 A B y- -

A: The given equation of the parabola is: x2-2x-6y-5=0⇒6y=x2-2x-5⇒6y=(x2-2x+1)-6⇒6y=(x+1)2-6 ⇒6y+6=(x+1...

Q: Suppose z x + y Then dz/dt =D

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Q: A frictionless highway Turn has a constant curvature 1.96 x10 -2 m-1 is banked at an angle 0 = tan-1...

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

Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

A: First we put x6=t and differentiate both sides with respect to t and find the integral.

Q: Use the percent formula, A =PB: A is P percent of B, to answer the following question. 3 is 40% of w...

A: Note :- These are the multiple questions. According to our company guideline we can do maximum one q...

Q: Find the corresponding position vector. Define the points P = (10, 8) and Q = ( -1, -7). Find the po...

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Q: Graph the integrand and use known area formulas to evaluate the integral: dx

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Q: Find the radius of convergence and the interval of convergence. EA (* + 6)* k=0 Radius of convergenc...

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Q: 1 Evaluate | (x²sin y- xcos(y))dy O 2sin y-3cosy + C 6 -3sin y+2cosy +C 6 x2(1- cos(1)) – xsin(1) + ...

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Q: Use the 2016 marginal tax rates to compute the tax owed by the following couple. A married couple fi...

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Q: C. Find i '(t). 1. ř (t) =

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Q: Find the indicated vector. Let u = (8, 3), v = (8, -6). Find v - u. (-5, -14) (16, -3) O (-14 5) O (...

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Q: The function f(x) sin(3x) has a Maclaurin series. Find the first 4 nonzero terms in the series, that...

A: Maclaurin series is just expansion of function with center zero. Which we xan found easily.

Q: Consider the graph of the function f in figure 21. 1. Determine whether f is continuous or not at t...

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Q: Write the following expression in algebraic form: sin(arccos (6x)) V1-36z2 O VI – 36x² O VI – 6x² O ...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Find dy/dx for: y= x2 cot x

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Q: log,(2) = y

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Q: 7 8. 9. 10 11 12 13 20 30 4 using inner limit 2x to (1 +x) and outer limit 0 to 1. O a.0.71 O b.0.82...

A: The integration of the double integral is xy inner limit 2x2 to (1+x) and outer limit 0 to 1.

Q: VT VT "cos(x?)dxdy? What is the reversed order of integration of "y O a. cVT X cos(x²)aydx 0. O b. V...

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Q: Let f(-6) = -5 and f'(-6) = 7. Then the equation of the tangent line to the graph of y= f(x) at r = ...

A: Given query is to find the equation of the tangent.

Q: 3 2x – x 1 dx = - arctan(x) – x - 1 -- In \x – 1| + 2(x – 1) 1 + C - (x – 1)²(,² + 1) 2

A: In order to evaluate the integral, firstly we need to split it into partial fraction and then integr...

Q: 5. A certain vessel is full of pure alcohol. Five liters are drawn and replaced by water. After mixi...

A: Topic:- algebra

Q: 10. Determine three positive numbers whose sum is 48 and such that their product is as large as poss...

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Q: In a certain manufacturing process, when the level of production is x units, the cost of production,...

A: This question can be solved by using the concept of absolute maxima and absolute minima.  

Q: Write the first five terms of the recursively defined sequence. a1 =6, ak+ 1 %3D %3D a2 = 23 = a4 a5...

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Q: Match the sequence with the given nth term with its graph. an = (-1)" an an 10 2- 8 1 ... 6. 4. 2 4 ...

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Q: What are the coordinates of the foci of an ellipse whose equation in standard form 112 x+ is given b...

A: We have to find the focci of an ellipse 

Q: -1 Evaluate: lim X+0

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Q: 1. Find the general solution of (y? – 1) = 4xy? dx dy 2. Find the solution of dx e2x+y that has y = ...

A: Using variable separable. Then integrate it .  According to guidelines we solve only first three par...

Q: In this ULO, we have learned how to use critical points, first derivative test and second derivative...

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Q: 2. f(x) = complete the table. Show your solution. 2 1 0.8 0.5 0.1 0.01 0.001 0.0001 f(x) What is lim...

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Q: Prove: If the characteristic equation of ay" + by' + cy = 0

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Q: A particle moving along a curve in the xy-plane has position (x(t), y(t)) = (-9 sin(9t), 3t² + 10t),...

A: Solved below

Q: The graph of the equation 2x2 - 5y? + 12x+ 20y+F=0 is either a hyperbola, a point or two intersectin...

A: The graph of the equation, 2x2-5y2+12x+20y+F=0, is either a hyperbola, a point or two intersecting l...

Q: Determine whether the statement is true or false. The ratio test is often useful to determine conver...

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Q: Find the coordinates of the point in the curve y = 12x - 2y + 23 that is nearest to the point P(10,4...

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Q: Find the volume of the solid with the base is the region enclosed by the parabola y = 1-x² and the x...

A: Here, to find the volume of the solid with the base is the region enclosed by the parabola y=1-x2 an...

Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x...

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Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, ...

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Q: For all x ≥ 0, 4x − 9 ≤ f(x) ≤ x 2 − 4x + 7. Find limx→4 f(x). ⇒

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Q: Using polar coordinates, find the area of the region shared by r=6cos(theta) and r=6sin(theta)

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