Determine the coordinate of the centroid bounded by curves of the polynomial functions y = #³ – z and y = 22 - 1. 12 36

Q: Evaluate the exact value of the multiple integral. 2 In 2z c2y e*dx dy dz 2 Jinz -y

A: This question is related to definite integration, we will solve it solve it using given information....

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: Given f(x) = -4x + 2 and x = 5r ln (2s). Find fr (5, 4). Give your answer correct to two decimal pla...

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Q: a. Consider the parabola f(x) = x² -4x + 3 i) Write the equation in vertex form. ii) Find the vertex...

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Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

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Q: f (sin(x²y), x³ – y²) ry If we take u = sin(x'y) and w x³ - y?, then: dz A) dy x2 . fu · cos(r?y) – ...

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 − x − ln(x)   inter...

A: f(x)=x2-x-ln(x)f'(x)=2x-1-1xf'(x)=02x-1-1x=02x2-x-1x=0(undefined at x=0)2x2-x-1=0(2x+1)(x-1)=0critic...

Q: y V3 x dx 8y-y2

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Q: 1. y= -x²+4 @(0,4). fly) - 3v26x-1

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: * Dis tance be tween a point f e plane : TT: ax+byt cz+d=0, eqn.af aplaneT P. Cxd,) be a pt. d(PT) =...

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Q: Find the dy/dx of the following function. Implicit differentiation e2y + x3 =y

A: We have to determine derivative of following function 

Q: Thus, for f(x): %3D x2 - 9 , if x 0 f-x) = %3D if x = 0

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Q: Q2: Sketch the polar function r = 6 cos 30 ,-n <0 < T

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Q: Find df, dg, ď²f and d g, if sing f +g = x+y, sinf

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Q: Consider the following equation. x² + xy +y° = 1 Find the value of y at the point where X = 1.

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Q: 1 2 3 v(t) 30 50 40 60 The table above gives the velocity v(t), in miles per hour, of a truck at sel...

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Q: Q1: Convert the polar function to Cartesian function in the form f(x, y) = 0? cos 0 + sin 0 r = cos²...

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Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: This question can be solved by applying the relation between continuity and differentiability of a f...

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: Consider the initial value problem dy = e y, dæ y(2) = 0. Which of the following is a solution to th...

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Q: Use Newton's method to approximate a root of the equation 3x+ 8a* + 2 = 0 as follows. Let 1 1 be the...

A: By using Newton's method to approximate a root of the equation 3x7+8x4+2=0.

Q: Q1:a) Find the domain and range of the functions:- 1) f(x) = %3D x+3 2) f(x) = V4- Vx 3) f(x)=5cos3x...

A: Topic:- function

Q: Sketch the region whose area is given by the definite integral and then use a geometric formula to e...

A: Given

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

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Q: I. Define the function [In(r+ 1)] cosh r + tanr ,r20 (sinh r) sec- (r – 2) S(x) = ,z <0 1. Show that...

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

Q: Can someone explain how (n + 1) and (n + 2) can be integers? and also how can they be bigger than 1?

A: Answer: 1:  The solution is as given below:

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Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

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

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Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the ex...

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Q: Assume that the rate at which a cup of coffee cools to room temperature is proportional to the diffe...

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Q: = In x lying in the fourth Find the surface area generated by revolving about the y-axis that part o...

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Q: es - a? Do not use a calculator for this problem. Find the x-value where the relative maximum of u c...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Let's find. 

Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 4 – x, [-3, 2] minimum (х, ...

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Q: Q2: Sketch the polar function r = 6 cos 30 ,-n < 0 < n|

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Q: 10- 10 10 Find its domain and range. (Enter your answers using interval notation.) domain range 30

A: For given function of graph. f(x)=&gt;y^2=36-x^2 hence we know that  for domin and Range : by defini...

Q: X Your answer is incorrect. Use the fact that the volume of a tetrahedron with adjacent edges given ...

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Q: dy Show that the analytical solution for this problem = 4 e081 - 0.5 y) dt (e0.81 - el-0.5 t) +2 e-0...

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Q: The point P is on the unit circle . If the y- coordinate of P is - 4 over 7 , and P is in the quadra...

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Q: Q22 coordinates of a point Sammy is given the cartesian (-1,-53), He lp Sammy find polar coor dinate...

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Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

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Q: Differentiate the function L(k) = cosh¯' (/T+ k² ). O (k² + 1)-1/2 O 1+ k2 1+k

A: ddkcosh-11+k2

Q: Hi, I need help with these problems. Thank you so much! Find each of the following derivatives. g(2)...

A: Topic:- derivatives