Determine the I coordinate of the centroid bounded by curves of the polynomial functions y = r* – x and y = x² – 1. 35 35 115

Q: f(#n) f'(In) For the function f(x) = r+x - 4, write Newton's formula as In 11 = F(Tn) In for solving...

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Q: Use Newton's method to approximate a root of the equation r + I + 2=0 as follows. Let T1 1 be the in...

A: Find your answer below 

Q: Find dy/dx of the following function. Implicit differentiation x3 + y3 = 8

A: Differentiation on both sides

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and v = 2j +k as adjacent sides. NOTE: ...

A: topic - area of parallelogram using vectors

Q: Solve the initial-value problem

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Q: Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the ...

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Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2...

Q: (A v B) -> "C CvD

A: If A and B are statement variables , the disjunction of A and B is A v B , which is read " A or B "....

Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

A: This is a problem related to maxima and minima of the function from the given graph. Here the genera...

Q: Determine Whether the series is convedesnt Lo divegent. Write the exact Lrt that you Us e, Sin(-2

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Q: Consider the parallelepiped with adjacent edges u = 7i + 4j + k v = i+j+9k w =i+8j + 8k Find the vol...

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Q: Find the centroid of the shape with endpoints (0,0),(0,4),(-2,4).(-2,6),(2,6),(2,3),(4,3) and (4,0) ...

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Q: 2. Prove that g(x) = sinh x + x – 1 has a zero in [0, ln 2].

A: To prove that gx=sinh x+x-1 has a zero in 0, ln 2.

Q: Find the surface area generated by revolving about the y-axis the curve x? – y? = a² from y = 0 to y...

A: we have to find the surface area.

Q: Example 7: Determine whether the planes x- 3y + 6z = 4 and 5x+ y - z = 4 are orthogonal, parallel, o...

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Q: The simple solid Q, drawn in the first octant and generated by the surfaces y – 1 = (x – 2)² 3x + 2z...

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Q: Find the length of the curve y = In x from x = V3 to a = 2/2. o 1+홀 In를 None of the choices. Please ...

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Q: 3. U sin g Derivative Product rule 3. (x + 6) (x + 5); 4. 4x² (x – 1)

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Q: 1. Evaluate: 00 e3z . Te + e5rjz dz

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

Q: Find the area of the region bounded by the curves y = 2 - x2 and y = -x. Select one: а. 11/3 O b. 9/...

A: This question can be solved using the concept of area between two curves.

Q: Define the function (In(r+ 1)] cosh r+ tan r ,r20 f(r) = (sinh r) sec (r - 2) 0 >r 1. Show that f is...

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Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summ...

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Q: 45. s 2 2 sin t -

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Q: Let h, r be constants. Consider the quadric surface S of equation (x – h)? (y – 1)² (z – r)2 9 3 The...

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Q: 2. Fill in the blanks Let y be a solution of the differential equation y' = , where – 1 < x < 1, –1<...

A: ∫1a2-x2 dx = 12aln1+x1-x+C

Q: 7 Find lim E n-00 k=1 n+7k

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Q: Let f be a differentiable function. Consider the relation = x•f where z is implicitly defined in ter...

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Q: Determine whether the series is convergent ordivergent. the exact test that you Use. 00 Sinl 2. nこ1

A: To determine whether the given series is convergent or divergent.To write the exact test that you us...

Q: Convert x² + y = 3 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation a...

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Q: Two constant values a and b are both greater than zero, determine the maximum value of the function ...

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Q: Example 6: Determine whether the planes 3x+ y- 4z = 3 and -9x-3y+12z= 4 are | orthogonal, parallel, ...

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Q: How to avoid getting an estimate that is closest to the largest root when using Bisection Method to ...

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Q: Given the following System of Differential Equations and its Eigenvalues and Eigenvectors 4 12 4 and...

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Q: entiable at x = 1. What is f'(1)?

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Q: a) Draw a neat and labeled diagram of the first six rows (n = 0,1,2,3,4,5) of the Pascal's triangle....

A: (a)  

Q: uestions: A) find the indefinite integral of the function y = 3t^2 + 2e^3t + 1/t + 2cos3t? B) calcul...

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Q: Use the Lagrange multipliers method to find the maximum and minimum values of the function f(x,y) = ...

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Q: Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever appr...

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Q: Write an equation for the polynomial graphed below 6+ 4 2- -1 -2+ -3 -4 -5 -6+ y(x) =

A: Find your answer below 

Q: O Finding the Volume of a Solid In Exercises 25-28, find the volume of the solid generated by revolv...

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Q: Every power series converges at x=0. True or false.

A: Let us consider a power series with radius of convergence R, then interval of convergence of this se...

Q: Find the extrema of the following function on the given interval, if there are any, and determine t...

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Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54 ...

A: The area formed is of trapezium

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

A: The tetrahedron with vertices P-3,2,0, Q2,1,-3, R1,0,1 and S3,-2,3

Q: Find the area of the region bounded above by y = sin(x) and below by y = cos(x). AY 1.5- 0.5+ -1 0.5...

A: Find the area of the region bounded above  by y= sinx and below by y= cosx.   Here i attached the so...

Q: Mr Lim's monthly salary is $2500. Every month, he spends a certain amount of money and saves the res...

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Q: A model for the velocity v of a skydiver is 4 = 9 – v². Then the value lim v(t) is__ 1 Enter the cor...

A: The given differential equation can be solved by using the variable separable method.

Q: Find the area under the graph y =- on the interval 1, 3|. 2+ 1 1 3 4 O -1.100 -0.100 O 0.100 O 1.100...

A: Find the area under the graph y= 1/x on the interval [1,3] .

Q: Find the slope of the graph of the function at the given point. F(x) = 4x5 + 5x - sin(x), (0, 0) f'(...

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Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x)(tanh =+/9) + 2 csc¬1 (tan(y + 1

A: Given: sec3(xy2)=(coshx) (tanhx+sqrty)+2csc-1(tan(y+1)).