Find the centroid of the region lying underneath the graph of the function f(x)=√ over the interval [0, 4]. XCM YCM

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Q: Use the graph of H shown to the right to find the limit. If necessary, state that the limit does not…

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Q: The expression log 2⁹ can be written in the form

A: A=log⁡(x7y6z9)

Q: cond partial derivatives. Observe that the second mixed partials are equal 4xey - 5ye-x X X

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Q: 26. A carpenter is constructing a large cubical storage shed. The volume of the shed is given by V…

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Q: Evaluate the limit along the stated paths, or type "DNE" if the limit Does Not Exist: xy + y ³ lim…

A: The given limit .The objective is to find the limit along the paths  and .

Q: ƒ(x) = −2x² + 3x – 1

A: f(x)=−2x2+3x−1

Q: 5x+2x+3 f(x) = √x

A: f(x)=5x2+2x+3x

Q: 1. Find the acute angle between the two curves at th 1- r=1+sine 2. r= 1 + cos 8. 2. Evaluate e dx.…

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Q: Let f(x) = x²e19x (a) Find the critical values of f(x). (Enter your answers as a comma-separated…

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Q: • A ship leaves a port traveling 50.0 km 45.0° northwest and then 70.0 km in a direction 30.0°…

A: Given the ship leaves a port traveling 50.0 km 45.0° northwest and then 70.0 km in a direction 30.0°…

Q: Speeds of a Michaelis-Menten enzyme reaction v (in micromolar/minute) as a function of the substrate…

A: Hence solved.Explanation:a) For Straight line transformation = ([s]1​,v1​) b) Given : y= 0.500981 .…

Q: Problem #3: Let f(x, y) = sin(2x) cos (4y) and let P = x-direction. Give an exact value. IL T 8'4'…

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Q: 1. Evaluate the limit, if it exists: lim a. 0 b. does not exist 2. Evaluate the limit: lim x-8+ a. 0…

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Q: Graph. f(x)= 3, for xs-2 |x²₁ for x>-2 Choose the correct graph. O A. A Q C OB. Q Q OC. N Q Q ✔ O D.…

A: To graph the following function.

Q: Given the following functions: f(u) = u7/2 and g(x) = 8 + 1. Find: f(g(x)) = f' (u) = f' (g(x)) =…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Remember the constant of…

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Q: ƒ(x) = = ax² + 3x + b 9x² - 6x + 2a if x ≤ 0, if x > 0.

A: f(x)={ax2+3x+b if x≤09x2−bx+2a if x>0

Q: Find a vector equation, parametric equation, and symmetric equation for the line passing through…

A: we need to find out the vector, parametric and symmetric equation for the line that passes through…

Q: r(t) = (t, cos(at), sin(at))

A: r(t) = <t, cos(at), sin(at)>

Q: ܘ 34.

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Determine the limit shown below in simplest form. x²-9 lim x+3x² + 3x

A: To determine the following limit.

Q: x²-x-20 18. Find the coordinates of the hole in the graph of f(x) = x² +7x+12 Hole:

A: Hole is at x=-4.Explanation:

Q: y=u (1+u³)* and u = (3x - 2)²

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Q: (a) Find the approximations T10 and M10 for + T10 = M10 = 27 e¹/x, |ET| ≤ IEMI ≤ dx. (Round your…

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Q: Find the horizontal and vertical asymptotes of the graph of the function. 2x² x² - 16 g(x) =

A: g(x)=2x2x2−16

Q: f'(x) = Let f(x)= = I cos ³

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Q: If log₂ (5x + 5) = 2, then x = You may enter the exact value or round to 4 decimal places.

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Q: Evaluate the following integral using trigonometric substitution.. 9 S 8 dx x²√64x²-81 2 dx…

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Q: 8. Sophie told her friend Jesse that he needed to know for the calculus test that the derivative of…

A: Sophia told her friend Jesse that he need to know for the calculus test that the derivative of a…

Q: Shetch the graph of f'given the graph of f. explain how you found your answer Z 5

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Q: Consider the sequence.     20 ,    20 +    20 ,    20 +    20 +    20…

A: The objective of the question is to understand the given sequence, compute the first five terms,…

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A: f(x)=16x2+x4Using the power ruleddxxn=nxn−1

Q: Find the volume of the parallelepiped determined a=(2,5,-1), b = (0,3,47₁ C = (2,4,1) by the vectors

A: Given:a parallelopiped that is determined by vectors-To find:The volume of parallelopiped

Q: The graph of the function f is shown below. Determine the value of lim simplest form. -10 -9 -8 -7…

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Q: an = (-1)" η2 + 3 3η2 + 2n + 1

A: To determine if the sequence is convergent or divergent, we can examine its behavior as n approaches…

Q: numbers, mathematics unveils the poetry hidden in every calculation, revealing the elegant…

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Q: Find the closest point contained in plane 2x + y + 3z = 7 to point S (2, 1, 0). 12) to the plane 2x…

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Q: 5 -4 -3 8 7 6 5 3 8 16 20 2 3 405 Use the contour map to estimate the value of f(4, 5). f(4, 5) ≈

A: To estimate the function value at a certain point on a circular contour map, you can follow these…

Q: ax CLA Find points of intersection for the following curves. 13 1- r = 2 + 2 cos 0, 2- following. r…

A: The objective of this question is to find the points of intersection of two polar curves defined by…

Q: Find the point at which the line meets the plane. x = 4 + 3t, y = −2+ 6t, z = 2t; x+y+z=2 The point…

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Q: Evaluate the integral or state that it diverges. Ĵ 0 (3v) 1+9v² 30 tan -dv

A: The given integral .The objective is to find the integral value.Formulas used:

Q: 6. Evaluate the indefinite integral using partial fraction decomposition. Sx² Mo x-13 x² - 6x +5 5)₁…

A: Given Indefinite Integral is as follows

Q: Given the triangle ABC with vertices A(a1,a2 a3), B(b1,b2,b3), C(c1,c2,c3). P and Q are the…

A: Given the triangle ABC with vertices A(a1,a2 a3), B(b1,b2,b3), C(c1,c2,c3). P and Q are the…

Q: Use the Divergence Theorem to calculate the surface integral F(x, y, z) = 3xy²i + xe²j + z³k, S is…

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Q: 13. The limit will never exist at a discontinuity. 14. The average rate of change is the slope of…

A: “Since you have posted multiple questions, we will provide the solution only to the first five…

Q: Evaluate the derivative of the function at the given point. f(s) = -2√5-3, a =9 f' (9)= (Simplify…

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Q: B. Determine the value of each variable. 1. 2. X 45° m 15 n 16 30⁰

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Q: graphs y = 0.8x figure. If the line x = k divides R into two regions of equal area, what is the…

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Q: Please solve the following calc 3 problem

A: The objective of this problem is to find the equation of the plane that passes through the three…