. Evaluate sin 0 if cos 0 = 2/5 and 0 is in quadrant I. %3D Evaluato 000 A if

Q: If 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

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Q: Decompose v into two vectors Vị and v2, where vi is parallel to w and v2 is orthogonal to w. v - -2i…

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Q: x²-4 dx 2. XV xvx²-9

A: ∫1x2+a2 dx =1a tan-1xa+C.

Q: The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of…

A: Explained below

Q: Which of the following is NOT a differential equation? Select one: x + 2y" = 3 O None. O 2xy' = 3 O…

A: The given problem is solved below.

Q: f (x) +f (1 – 4 ) = x

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Q: Next Solve the system of differential equations 17x – 8y | y' 36х — 17у æ(0) – 10, y(0) - 23 || The…

A: We have to find the eigen values and eigen vectors.

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: Find y'' of x⁵ - y⁵ = 1.

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Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

A: We have to find the Distance

Q: Find the curvature of the space curve. r(t) = - 3i + (3+2t)j + (t +8)k %3D

A: The given curve    r(t)=-3i+3+2tj+t2+8k

Q: x5V16x6 – 24x3 + 9 dx -

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Q: Convert to degrees. Convert 130° to radians.

A: Given query is to convert indicated angles

Q: 4In(Arctan x) = 1-y

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Q: Evaluate f x(x- 1) dx | c. (x + 1) -x + 1) +C D.x – 1) -- 1) +c x(3 35 1)z (x- | | 35 35 35 |

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Q: dy 7. Chain rule of differentiation Using chain rule of differentiation find for dx the following:…

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Q: ydy (1+ у)*

A: We have to find the integral.

Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) [x² +…

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Q: 5x+9 e

A: We need to evaluate the following integral I = ∫e5x+9dx                           ........1 Formula…

Q: 1. Find the volume of the solid of revolution generated by revolving the region bounded by y = x?…

A: Given problem:-  Find the volume of the solid of revolution generated by revolving the region…

Q: A piecewise function is given. Use the properties of limits to find the indica fix) if x 3 5. if x-3…

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Q: csc2 3x Evaluate J cot³ 3x csc² 3x dx ● 금cot-23z +c O cot 23xcsc3x + c O 6cot 3xcsc3x + c ○ 글cot?…

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Q: Evaluate the given integral. [ 2x?sin(4x)dx

A: The given problem is solved below in detail.

Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

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Q: B. For the curve y = x' + 2x? +4 a.Solve the normal line at point (-3,-5) b. Locate the possible…

A: Topic:- application of derivatives

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at a = 2 and roots of multiplicity 1…

A: Root of multiplicity is defined as the number of times each roots appears.

Q: y - arcsin(4 + sin(x)) dy Calculate da Type sin(x) for sin(a), cos(x) for cos (a), and so on. Use…

A: The given equation is;  y=arc sin[4+sin(x)].

Q: -구 4 3 4 5 6 Water leaks from a tank at a rate R( t ) where R( t) = 3.6 + 0.47 t gallons per hour…

A: Given problem:-

Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. If…

A: As per bartleby guidelines we supposed to answer only 1 question per post. This post contains 2…

Q: Let f(æ) = tan-(sin(7«)) f'(x) =

A: Let's find.

Q: If f(x, y) = 16 − 4x^2 − y^2 , find fx(1, 2) and fy(1, 2) and interpret these numbers as slopes.…

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Q: Let f(æ) = (4sin æ + 2 cos a)arctan e f' (2) =

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Q: sinh x – 1 dx cosh x

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Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

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Q: La (x3 – 2x)dx -2

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Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

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Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x² is…

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Q: Question 28 Write the first five terms of the geometric sequence. a1 - 3; r=- O 3. 74 03 3 3 4' 16…

A: A detailed solution is given below.

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = sin(ex)

A: y = sin(ex) Differentiate w.r.t.xy'=ddx( sin(ex) )y'=cos(x)ddx(ex )y'=cosexexDifferentiate again…

Q: x2-16 x - 16 Let f(x) = (a) Calculate f(x) for each value of x in the following table. (b) Make a…

A: This question can be solved using the concept of limits.

Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

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Q: rce Booksh. • For the function f (x) = cot (x): Rewrite f (x) as a composite function f (x) = g(h…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The following series is divergent: (n°-2 Σ n=1 5n4 Select one: O True O False

A: Solve the following

Q: Sx² sec² x³ dx .2

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Q: For nos.2-7, do NOT integrate anymore. Just use the Laplace Formulas directly. If needed, apply the…

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Q: 7 If the change of variables u = x-1 is used to evaluate the definite integral f(x) dx, what are the…

A: This question can be solved using the concept of change of limits in definite integrals.

Q: D) 1. Which of the following is the antiderivative of f(x) = x' + x +1? A) 3x +2x + C C) x' + x +x +…

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Q: Arcsin(x/y) = 4x + 3y

A:

Q: The average rate of change of y with respect to x over the interval [0, 3] for the function y = 3x…

A: The function y=3x+2 over the interval 0,3

Q: Given the function y = x3 - 5x2 - 8x + 3. Determine the following: a. maximum point b. minimum point…

A: The given function,  y=x3-5x2-8x+3