What is the integral of f sin² x cos² x dx? cos(z) sin³ (2) cos(z) sin(z) + 4 4 ○ sin(4z)+4z 32 +C ㅇ[글x - usin(4x)] + C O None of the choices ++C 24

Q: 60° a 100° 5 b A

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Q: Use the triangle shown on the right and the given information to solve the triangle. b=4, A=70°;…

A: Given b=4, A=700, a=? c=? B?

Q: DEMAND FUNCTION! → X зорех REVENUE FUNCION • R(x) = 2 р IF ((x) = 18,000 + 500x sop لعاصد 25,000-50p…

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Q: Solve this system of equations x2+2y=0 -y2+2x=0

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Q: What is the integral of f cos¹ (2t)dt? Ot+sin(4t) + sin(8t)] + C None of the choices cos" (2x)…

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Q: 3) [ Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

A: Given :-4x3y-16dy=6x2y2-10dx

Q: 1. The two graphs below (X & Y) show two functions from our library of common functions. For each…

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Q: Evaluate: 0 tan-¹ (0) de Ô arctan(9)–0 2 arctang+ -arctan0+C 0—arctan(0) +C

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Q: Question 24 Which of the following statements is true about critical points? O It is a point in the…

A: We have to choose correct option for given question.

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: For a geometric sequence with first term a1 and common ration r is given by an=a1rn-1, for…

Q: Consider the infinite series > Evaluate the first four terms of the sequence of partial sums. k=1…

A: Given that infinite series       ∑k=1∞1k+3       We have to evaluate first four terms of the…

Q: Consider the function f(x)=5/x^2 - 9/x^7 Let F(x) be the antiderivative of f(x)with F(1)=0 then…

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Q: Part b: (**) We consider the function f(x, y) = x sin y - y cos x + y Find fx(x, y), fxy(x, y), and…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: The annual number of passengers going through Hartsfield-Jackson Atlanta International Airport…

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Q: The differential equation dy 6x + 2 da 12y² + 14y + 5 Find such a solution and then give the related…

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Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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Q: 2. f (x²-16) ²/2 dx x3

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Q: Set up the equation in solving volume of the solid generated when the area bounded by a = √√√y, x =…

A: Given that,

Q: Sketch the region enclosed by y = 3x and Y = find the area of the region. 2x². Decide whether to…

A: Given that y=3x and y=2x2To find : Area between the region.Solution :

Q: Compute the given integral. Enter your answer using exact values. fe-52 dx = +C

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Q: Evaluate the indefinite integral. fest √5e³t sin (est)dt = [

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Q: Use an appropriate test to determine whether the series converges. Σ k=1 By the 9 k 12 9 this series

A: Please see the below picture for detailed solution.

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A: Here we have to find the directional derivative.

Q: Given that the graph of f(x)f(x) passes through the point (5,10)(5,10) and that the slope of its…

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Q: Determine whether The given series M8 k=2 ខណៈ k=2 1 √k-1 1 √k-1 converges using the Comparison Test…

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Q: Use Newton's Method to estimate a root of the function f(x) = x + 2 - e Use the initial estimate 1 -…

A: We need to find x7.

Q: Find a normal vector to the level curve f(x, y) = c at P. X = x² + y² P(5, 5) f(x, y) = C = 100

A: To find the normal vector.

Q: A bush fire is burning a circular area whose radius is increasing at a rate of 3 ft/min. How fast is…

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Q: Integrate √1 - r²dr Select one: OA. }(arcsinx+v1_2)+C OB. }(arcsinx+2v1_z)+C OC. (arcsinx +…

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Q: Evaluate the indefinite integral 9ds s ln(88)

A: We can solve this as follows:

Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

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Q: Solution is incorrect. Please correct it.

A: dydx=6y18+9x2y18⇒dydx=6y18(1+9x2)⇒y18dy=6(1+9x2)dx

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

A: We can find the 5th term as below.

Q: Use the implicit differentiation to find dy/dx. Then find the slope of the curve at the given point.…

A: By using the implicit differentiation to find dydx. Then to find the slope of the curve at the given…

Q: Question 1 Let C be a curve defined by the vector equation r(t)= <8t³ - 9t, 8t³ +7t, e8³-917. Show…

A: Solve the following

Q: x(t) = £−1 x(t) = L−¹ S s² +5 3s² +9 4s ((s + 3) (s+5))

A: Last 2 question solved

Q: No 1 2 3 Problem Use the method of disks/rings to determine the volume of the solid obtained by…

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Q: In reference to the following function,  f (θ) = (θ − 3) cos(θ) Explain why the graph of f lies…

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Q: Differentiate and simplify this function:  e√t^2+t+1 - e-√t^2+t+1

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Q: At what points is the following function continuous? 5 cos 0 0+1 y = OA. The function is continuous…

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Q: Question 11 Find dy/dx of y = log₂ (x log5 x) In a alna ln 2 O y =

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Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: W need to estimate slope.

Q: Evaluate the geometric series or state that it diverges. 5k E •(-4)* Σ 5 k=1 Select the correct…

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Q: Evaluate: f³² ƒ³³ fő cos(# ) dzdxdy J(ㅠ-2) ○ 4 (ㅠ-2) ○ 4m ㅇ 풍 4

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Q: Let f(x, y, z) = yexyz², then fxz is: Select one: O (4xyz + 2x²y³z²)exyz² O None of these O (2xy² +…

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Q: Find the determinate by expanding about the 1st row. 1 3-1 223 1-1 0

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Q: Is it possible to have it a little more detailed?

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Given: y=x316-12x

Q: Find the general solution of the differential equation. y(4) + 2y″ + y = 7 + cos(2t). NOTE: Use C₁,…

A: To find the general solution of the given differential equation.

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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