Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.02 cm thick to a hemispherical dome with a diameter of 30 meters. cubic centimeters

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Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

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Q: 5. y=x² + 4x+5

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim_(ti + sin(t)j +…

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Q: D Question 11 Find the slope of the tangent line to the curve y=rarcsin z at the point 02 √3 01/ O O…

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Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

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Q: 3. dy= 2x+y dx x+2y

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Q: Evaluate the line integral C:y² = 30x from (30,30) to (0,0). NOTE: Enter the exact answer. [-ydr +…

A: line integral

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Q: Use the Integral Test to determine whether the sum converges. ∞     n = 1 4n 1 + n4 Evaluate the…

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Q: Find the following values. Round answers to 3 decimal places as needed. csc(-13°)~ sec(5)≈ tan( -8)…

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Q: Evaluate the definite integral. [²³ sin5(x) dx Step 1 6.² sin5(x) dx, first rewrite the integral. To…

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Q: 2x+5x7 x3 1²2 dx

A: To evaluate the given integral.

Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t) = 11 cos(t)i + 10 sin(t)j…

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Q: Consider the function f(x) = 2x + 5. Compute the indicated limit. Write your answer as a fraction,…

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Q: 25 At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y = e sin(t), z =…

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Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

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Q: Use the function f and the given real number a to find (f ¹)'(a). (Hint: See Example 5. If an answer…

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A: Note:- according to the company policy we can attempt only three subparts of a question so please…

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A: solution:-f(x)=3xf'(x)=ddx3x        =3ddxx-1/2        =3-12x-12-1        =-32x-32         =-32x32…

Q: 32-2n Σ=3 Ln=3_25-n

A: We have to evaluate ∑n=3∞ 32-2n25-n.

Q: Find the absolute maximum and minimum of f(x,y)=4x+3y within the domain x^2+y^2≤16 Please show your…

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Q: 2. (2xy-tan y) dx + (x²-x sec² y) dy Answer: x²y - x x tan y = C. = 0

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Q: Consider the following function. x + 2 x-1 What is the domain of f? (Enter your answer using…

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Q: Find the exact value, if any, of the following composite function. Do not use a calculator. (-)] 16…

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives f…

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Q: Give the General Solution of the following Differential Equation 1. (ex-y)(e²y + 1)¹/2 dx = dy

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Q: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

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Q: Find r(t) u(t). r(t) = (3-7)i + +³1+ j+ 4k u(t) = t²i - 8j + t³k r(t) u(t)= Is the result a…

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Q: Find the following for the given equation. r(t) = (e¯t, 3t², 6 tan(t)) (a) r'(t) = (b) r"(t) = (C)…

A: Given:         rt=e-t,3t2,6tant a)   r't=ddte-t,ddt3t2,ddt6tant              r't=-e-t,32t,6sec2t…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Here, the given function is: f(x)=y=x9-9x

Q: Use the method of your choice to find the volume of the solid generated by revolving the region…

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Q: Differentiate from first principle y = 5x²³² +22² +32 +4

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Q: What is the coefficient of the term containing x^7y in the expansion of (3x + y)^8?

A: Topic = Algebra

Q: An metal cube with each edge of length s millimeters is expanding uniformly as a consequence of…

A: NOTE: Refresh your page if you can't see any equations. . s=length of the cube the volume of the…

Q: 3) Let D be the region enclosed by the two paraboloids z = 4 + x² + y² and z = 10-x² - y². Then the…

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