Find the centroid of the quarter of the unit circle lying in the third quadrant. ICM усм

Q: Find y': y = arc cos 0 = -√2 O y Oy=-1/72 V Oy= Oy=-- 9-1² 3

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to…

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Q: V-1 dv 32 = dt V e a) Write the given first-order LDE in standard form. b) Solve for the general…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: Find the area of the region bounded by the curves y = xe -0.4x Area = x = 5, and y = 0. >

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Q: Combine into a single logarithm log3 - 4 log; y + 2 logą z − 2 O 10g3 O log3 2yª O 10%3 gyt 2½ O…

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Q: Concept check: Evaluate the following integrals and use the appropriate transformations when needed.…

A: Given integral:- ∫cot4t2dt

Q: y = 7 cos(x), y = 7 − 7 cos(x), 0 ≤ x ≤ π

A: Given y=7cosx, y=7-7cosx, 0≤x≤π

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√9-x² dy

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Q: D Question 8 Given the following graph of a function. 3 2 O (2,00) 4 4-3-2-1 12345X -1- -2 -3 4 5…

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Q: 5. | tan’xsec*xdx

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Q: ii. iii. [x x cos(x) dx [rs x sec²(x) dx x³ ex/³ dx

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Q: Evaluate the following integral using integration by parts. fxsin 6x dx

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Q: D Question 25 y sin 2x + cos 2y = ax; Oy = Oy = 0% O y = O✓ = y a-2y cos 2x sin 2r-2 sin 2g a+2y cos…

A: To determine the derivative of given function.

Q: M3.2. d. A cadet engineer determines that when x hundreds of units of a particular commodity are…

A: We need to find out the instantaneous rate of change of P(x).

Q: Find the average rate of change of f(x) = 4x² - 6 on the interval [1, a]. Your answer will be an…

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Q: 3. The volume of a right circular cylinder with base radius r and height h is given by V = πr²h Find…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the curves y = 6/x, x = 1,…

A: Topic = Volume

Q: I need the P prime and Q prime of 1 and 6 P'(1)= Q'(1)= P'(6)= Q'(6)=

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Q: Consider following ODES: 1)4y" +12y' +13y=0,2) 2y″ +7y' + 5y = 0 a) Find characteristic equation and…

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Q: Find the volume of the given solid. Diag 47 12 under the plane x - 2y + z = 5 and above the region…

A: The solid is under the plane is x - 2y + z = 5 and above the region bounded by x + y = 1 and x2 + y…

Q: Question 7 Determine the derivative of the given function: y = x² e-* Oy=x²e-e* (2x) Oy = 2² +22 Oy…

A: The given function is; y=x2e-x.

Q: What is the standard form of the equation of the parabola whose center is at the origin, focus is 3…

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Q: 22. lim (x, y)→(0,0) 1 - cos (xy) xy

A: See this solution in below.

Q: 3. fxe (4-x²) dx

A: ∫ xe4-x2dx

Q: Use the total differential to approximate the change in a function of two variables. Find the…

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Q: arcsin = ab²x² - √a² - y²; Find y. I

A: Recall: y'=dydx

Q: CALCULUS

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Q: Given that f(x) = x¹²h(x) h(-1) = 2 h'(-1)=5

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Q: Given f(x) = e. Atx=6 Find the tangent line to the given curves at the indicated point

A: See this solution in below.

Q: A series circuit has a resistance R = 10 Ohms and inductance L = 2. The battery gives a constant…

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Q: Number 2: Given the following first-order linear differential equation: v-1 dv 32 dt V e Write the…

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

A: The given data is: A population of particular yeast develops with a constant growth rate of 0.4321…

Q: 1. Evaluate the integral f 2³+6²+12r+dr. (Hint. You may need to use partial fractions and trigono-…

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

Q: Find the slope of the graph of the function at the given valu 8 f(x) = 4x² + - when x = 5

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Q: Find the indicated Midpoint Rule approximation to the following integral. 18 S2x² 2 27 dx using n =…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Given query is to find integral converging or diverging.

Q: How do you get the exponent of 1.67?

A: Given solution :

Q: Find the distance from the point (-2, 8, 9) to the line ā(t) = ( − 1, 3, 2)t + (− 2, 3, 9).

A: To find the distance from the point -2, -8, 9 to the line a→t=-1, 3, 2t+-2, 3, 9.

Q: Evaluate the following integral using integration by parts. f10te' dt OA. 10te¹ + (10te¹) dt OB.…

A: Given query is to find the value of the integral.

Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

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Q: Let / be a twice differentiable function. One can show that e* (exf)" = af" + bf' + c, where a, b, c…

A: NOTE: Refresh your page if you can't see any equations. . use the product rule for the derivative

Q: 4. y" -10y +34y = -cos3x

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Q: Evaluate the double integral. 116 4x². (+² + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

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Q: f(x) || = ex 1 - ex

A: ddxex1-ex

Q: Find the maximum value M of f(x, y) = x³y³ for x ≥ 0, y ≥ 0 on the line x + y = 2. (Use symbolic…

A: Given that fx,y=x5y3  ,x≥0,y≥0 To find : Maximum value on the line x+y=2Solution :we know that…

Q: Find the interval(s) on which ƒ(x) = |x² − 5x + 15 is differentiable. Enter your answer using…

A: The given function fx=x2-5x+15 We have to find the interval on which fx is differentiable.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: e) y = √x4+7x

A: Solve for the derivative

Q: Find the rate of change of the area of a circle with respects to its diameter when the radius is 6/2…

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