sc 2x - cot 2x = 0 1 sec²x

Q: 4x- 5c + 20r 9 and classify them. Round Find the critical numbers of the function f(z) your answers ...

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Q: Mark the critical points on the following graph.

A: Given, To plot the critical points in the graph

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...

A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

Q: A16.1 Sketch the following periodic functions over the interval [-6, 6]. (0) F(9 = { "re + 2) -1<t<1...

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Q: ,3 dx

A: we have to find the integral by parts.

Q: cotetan3e + 1= sec?e 2 csc?e

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

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Q: The function y, = e¬3t is a solution to y" – 3y' – 18y = 0. This second-order ODE can be reduced to ...

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Q: (a) y = x2 – 2 and y = 2 -

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

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Q: (c) Determine if F is a conservative vector field. Given that the charged particle is moving along t...

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*) 01=yt...

A: we have to find the solution of  given differential equation.

Q: Which of the following pairs of vectors are perpendicular to each other? a) (4, 14, -18) and (6, 21,...

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Q: Given Cost and Price (demand) functions C(q) = 110q + 45000 and p(g) = - 2.8q + 900, what profit can...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Two forces of 4N and 5N act on an object and their corresponding force vectors have a dot product of...

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Q: Express the solution of the given initial value problem in terms of convolutional integral. A. y" + ...

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Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y...

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+5y+7z=46. Roun...

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Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: sin 2x + sin x + cos 2x - 1 = _______ cos x cot x tan x sin x

A: Solution ) sin2x + sin x + cos2 x - 1  = sin2 x + cos2 x + sin x - 1 We know that  [ sin2 x + cos2 x...

Q: 1. y+ /x + y = 2x at ( 2, 2)

A: Follow the procedure given below.

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: Differentiation 

Q: Use the difference an+1 - an to show that the given sequence {a, } is strictly increasing or strictl...

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Q: Find the derivative of the function. f(t) = 9t sin(xt) f'(t) = Need Help? Master It Read It

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Q: Consider the function T = xe3x+y? dy 5 and dt where x = Vt + 1, and when t O we have y -2. dT when t...

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Q: 6. x sec x tan x dx

A: Let's find. 

Q: There are three conditions in which limits do not exist

A: First Condition   Limit fails to exist  when  The function approaches to some number from the right ...

Q: 2 integrate by parts

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Q: Let f(x) = /1– x and g(x) = . Determine the following composition and its domain. g° g

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Q: Homogeneous Differential Equation: (r* +2xy– 4y° kdx– (x² – 8.xy – 4y dy = 0 Let: x = wy dx= wdy+ydw...

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Q: Consider the function: f(x) = {x2,      x ≤ 2          {4,        2 4 (a) Sketch the graph of f(x...

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Q: 3. v? – 4v = -1.2975 – 2.1i

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Q: Evaluate the integral. VE (1 + t) dt /1

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Q: 2. lim 5*

A: Here we have to evaluate limx→05x

Q: Solve the equation (x + 3y)dx - xdy 0 %3D O y? = 5x4 + cx3 O y = x5 +cx3 O 2y = x5 + cx3 %3D O 2y = ...

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Q: y'-5y= x'e* – xe* ito

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Q: Find the equation of the tangent line to f(x)=4x+x^−1/2+1 at the point (4,35/2)

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Q: Solve the differential equation (7х — 4у + 15)dy + (2x — 5y + 12)dx — 0 when x 3D 3, у %3D 2

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Q: Given that lim f(x) = 2, lim g(x) = – 4, lim h(x) = 7 find the limits. Enter the exact answers. (a) ...

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others parts as...

Q: An+1 -to determine if the sequence an { Use the ratio is 4n + 6 J =1 strictly increasing or strictly...

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Q: Find the maximum and minimum values of the function g(0) 30 6 sin(0) on the interval Minimum value =...

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Q: Determine the domain of f(x, y) = In (x² – y) %3D А. On and above the parabola y = a. В. On and belo...

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Q: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

A: Topic = Derivative

Q: V Solve using method of undetermined coefficents (D3+ GD°+ 12D + 8)y =o when x=0, y=1, y's-2, y"-2

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Q: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.

Q: Sam can swim at 6 m/s in still water. He wishes to swim across a river which flows downstream at 2 m...

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Q: uate the limit of the function given the graph of the function. onsidered the graph of Function a.

A: Answering first two parts of the question as third part's context is not related to the graph. Given...