Solve for 08= 08== 37 6 2 Den 6 37 2 08 De 11 5T 6 L (1 - 2sinė)² 1+ sine 5T 37 6 2 = 0 on the interval 0 ≤ 6 < 2.

Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

A: Topic = Differential equation

Q: b. lim xx/3 2 cos²x+3 cos x-2 2 cos x-1 (This reads 2 cosine squared of x + 3 cosine of x minus 2…

A: L=limx→π32cos2x+3cosx-22cosx-1put x=π3L=2×14+3×12-22×12-1=00

Q: Let f(x) -x² + x. Let g(x) = 6x - 4. Find the following: (a) f(5) + g(5) = 56 (b) f(6) g(6) = 1344…

A: The given functions are f(x)=-x2+x,g(x)=6x-4 We have to find the a) f(5)+g(5)b) f(6).g(6)c)…

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Q: For the function f(x) = -5x - 8x² + 7x³, Step 1 of 2: Find the slope of the tangent line at x = 1.…

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Q: In Exercises 1 and 2, compute u + v and u-2v. -[2][3] v= 1. u = narly enou ngga 100 sanil bas…

A: (1)   u=-12,  v=-3-1u+v=-12+-3-1=-1-32-1u-2v=-12-2-3-1=-1622    Ans

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Q: A first order linear equation in the form y' + p(x)y = f(x) can be solved by finding an integrating…

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by

Q: Find the length of the curve -0 Arc length= x = -√(y – 3), √y(y-3), 1<y≤9.

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Q: hat is the average rate of change of f(x) from x₁ = -5 to x₂=-1? Please write your answer rounded to…

A: Given query is to find average rate of change.

Q: Suppose that a deer population grows logistically while being harvested at a rate proportional to…

A: Given : Suppose that a deer population grows logistically while being harvested at a rate…

Q: evamate cot¹ (2-3₁)

A: Formula used sin( a - b ) = sinacosb - cosasinb cos( a - b ) = cosacosb + sinasinb sin( ix ) = isin(…

Q: Evaluate d/dt(r1(t) · r2(t)) at t = 0, where r1(t) = ⟨−6,8t,e^t⟩, r2(0) = ⟨1,6,2⟩, and r′ 2(0) =…

A: Given r1( t ) = { −6, 8t , et } r1'( t ) = { 0 , 8 , et } at t = 0 r1'( 0 ) = { 0 , 8 , 1 }

Q: Consider the function f(x) = −3x − 4 and find the following: a) The average rate of change between…

A: Topic - Average rate of change we are given f(x)=-3x-4

Q: -5 - -3 3- अ by 3 X

A:

Q: x³+3x 7. Compute the limit limx→∞ −²+2° O∞ 0-∞ Oo 312

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Q: h. 2 2 √(x)= (²x²+1)* X 3x³

A: Given query is to find the derivative of the function.

Q: Use the half-angle indentities to find the exact value. sin 112.5° O 2-√2 2 O /2+√2 2 0-1-√2 √2+√2 2

A: Given query is to find indicated function.

Q: Describe the given region in polar coordinates, such that 0≤rand -≤0≤T. The region enclosed by the…

A: To find the polar coordinates to describe given region.

Q: I. Find the solution of the following differential equation: 1.-4+3y=2; y(0) = 1, y'(0) = 1

A: To find the solution of the following differential equation. d2ydt2-4dydt+3y=2; y0=1, y'0=1

Q: (a) Evaluate: i) sin (b) Simplify the expression sin 7T ii) cos COS 5T cos(2 sin (3x)) + 3log (182²)…

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Q: Find the scalar and vector projections of b onto a. a =(4, 7,-4) b = (4, -1, 1) scalar projection of…

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Q: Show steps to receive full credit. 1. Determine the exact value of the following. (a) sin (105°) (b)…

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Q: Problem 3-5 (Algo) A cosmetics manufacturer's marketing department has developed a linear trend…

A: Question - A cosmetics manufacturer's marketing department has developed a linear trend equation…

Q: Find the exact value. tan 0 = — where 90 ≤ 0 < 180 Find: sin 01/201 /5 2 O 2√5 5 √5 5

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. |||+²³|| de ti dt

A: Here for i and j we have to take modules of the vector.

Q: Consider the equation below. 16x² + y² + 16z² - 8y - 160z + 400 = 0 Reduce the equation to one of…

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Q: Replace the polar equation r=4 sec 0 with an equivalent Cartesian equation. Then identify the graph.…

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Q: Find the sum of the series below. Σ n=1 48n (2n-1)² (2n + 1)² The sum of the series is.

A:

Q: Find the equation of the lime passes through (2,3) and // ar ] to the lan 2X-6Y=5 I

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write a in the form a+T+aNN without finding T and N. r(t) = (w sin t)i + (w cost)j + xtk

A:

Q: The latest demand equation for your "Banjos Rock" T-shirts is given by q = -30x + 6000 where q is…

A: Given :- Demand equation q=-30x+6000Cost function Cx=-1500x+393750

Q: Assume p≠−2, and compute the volume of the solid obtained by revolving the region bounded by the…

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Q: Estimate the limit numerically or state that the limit does not exist: 8 - 1 lim x-0 X = Give your…

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Q: 2 -[-3] Span (u, v) for all h and k. 21. Let u = and v= [2]. Show that is in

A: The given vectors are u=2-1, v=21  we have to check whether u and v  spans u,v for all h,k.

Q: Find the exact value. tan0 = -√√3 where 270 ≤ 0 < 360 Find: cos 20 O √3 O 2√3 3 NICO O V 0 - 12/1

A:

Q: Find the vector, not with determinants, but by using properties of cross products. (j - k) x (k - i)

A: Given: ( j-k)×(k-i)

Q: x² 10 - 5 ≤ f(x) ≤ x6-5 x+1 26

A:

Q: f(x) = e² - 2x ex

A:

Q: Find the first partial derivatives of the function. u = 3xy/z ди Әх ди ду ди дz = = ||

A: Given function:- u=3xyz

Q: A body was found in the basement of the Underwater Basket Weaving Building at 12:00 noon today,…

A: Given :Newton's Law of cooling -Tt=Ta+T0-Tae-ktT= body temp at tTa=Surrounding's temp

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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Q: Use Lagrange multipliers to maximize the function f(x, y) subject to the constraint. (The maximum…

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Q: Determine the intervals on which the following function is continuous. X + 8 (X + 8) (x + 5) f(x) =

A: Given query is to find the interval where function in continuously.

Q: Determine the average rate of change of the following function between the given values of the…

A:

Q: II. Get the transfer function of the differential equation: 2. y"+ 3y'+4y=x" - 2x²+x

A: Given :y''+3y'+4y=x''-2x'+x

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: If f (x) is the eqaution of a line with slope 3 that goes through the point (2,3), what is f(0) ?

A: We have given a line with slope and passing through a point  Slopem = 3 Point : x,y=2,3 Let,equation…

Q: iven that the directional derivative of f at the point (6,-9, 1) in the 9, 1)|| = 10, rection of a =…

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Q: A certain function & is known to have the Properties: lim F(x)=2, lim f(x) = 8 8--8 X-8 Determine if…

A: Please see the below picture for detailed solution.