> For y, polynomial x = y₁ 1 D²-2 [x²] y, = [-1-D² +...]. [2x+3]

Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A: Factor the equation

Q: Use the graph above to determine the following: a. lim f(x) = x-1- b. lim f(x) = x→1+ C. lim f(x) =…

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Q: 1)lim (tanx) cos X-2

A: To find the limit of the given function

Q: Exercises:- Calculate the following limit statements. x²-sin²2x 1)lim (tanx) cos 2) lim x-0 x² X-2…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: (a) csc(a) 0. (Select all that apply.) Q(¹) Q(II) Q(III) Q(IV) X (b) cot(a) 0. (Select all that…

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Q: Find laplase 4-f(t)=e²¹.t³.

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Q: Check the following relation R on the set A = {1, 2, 3, 4]} is reflexive, symmetric and or…

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Q: This is the graph of the quadratic function rx)=-x²+bx+c 3 (The scale on the x-axis is not…

A: Given graph:-

Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

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Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: graphing calculator is recommended. Consider the following. x = t² - 7t, y = t5³, 1st≤4 Write an…

A: To find the length of the curve.

Q: 03: Evaluate the following integrals: (5) √cotx.csc4 x dx

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Q: Find the total area between y = 25 - x² and the x-axis for 0 < x≤ 6. Area

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Q: 10) lim TT X-- sinx-cosx - TT X- 4

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Q: 4-f(t)=e¹²¹.t³.

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Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 in./min.…

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Q: Epa is investing $2500 at 6% per annum, with interest compounded continuously. She wants to come up…

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Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: Q3/A/Find the surface area generated by rotating the curve y = cos h(x) about x axis for 0≤x≤1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: -if y=x² the dy dx

A: Finding dy/dx

Q: Consider a trough with the shape below. 2 m X 5 m 8 m It is full of water, which has a density of…

A:

Q: How many possible triangles can be created if mA-. c = 18, and a = 9? ○0 triangles O1 triangle O2…

A: The given data is: m∠A=π6c=18a=9  To find how many possible triangles can be created.

Q: If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

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Q: (x) (2) : (x+yi)

A: Follow the procedure given below.

Q: dx (x+3)²-25 7. S

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Q: 2. Find the Laplace transform Y(s) of the solution y(t) of the initial value problem y"+4y=0,…

A: Apply Laplace transform on both sides

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: Above question is solved.

Q: Find the volume generated by revolving the given plane area about the given line, using: I.) Sketch…

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Q: Find dy/dx for the following function:: √y-etanx = 2

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Q: Find the values of the trigonometric functions of 8 from the information given. tan 0 = - 8 15 cos 0…

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Q: 3) lim (x - 1)-¹ Inx x→1

A: Our Aim is to evaluate the limit of the expression given below:-limx→1x-1-1 ln (x) -(i)

Q: 5. y = log(7x + 3). 4²x¹+8

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Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

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Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x² cos y) dy = 0

A: The given differential equation is;  (x+3x3siny) dx+(x4cosy) dy=0. Repost the next questions.

Q: 5. Is the following expression an identity? Explain your reasoning. cos²0 - sin²0 cos20+ sin cos 0 =…

A: Recall: Known Identities sinθcosθ=tanθ a2-b2=(a+b)(a-b)

Q: 04: Find dy/dx for the following function:: (5) y = x³ log₂ (3 - 2x)

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Q: Find the present value Po of the amount P = $300,000 due t = 6 years in the future and invested at…

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Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.

A: To Show: y=x sinx is a solution to y''+y=2cosx

Q: Q1: Solve integral the following: 1- fx.√x-8dx 2- sin 2xdx

A: 1.∫x.x-8 dx2.∫0π4sin2x dx

Q: An investment of $14,000 is growing at 4% compounded quarterly. a. Calculate the maturity value of…

A: An investment of $14,000 is growing at 4% compounded quartely.

Q: √1+x 1- x dx

A: Substitute x=cos2thetha

Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

A: Concept: The area between the region y=f(x) and =g(x) onthe interval a,b Let us assume that…

Q: 2) Find all the second-order partial derivatives of the functions: a. f(x, y) = tan-¹ b. h(x, y) =…

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Q: sin² (x) x…0 COSX-1 7) lim cotx + CSCx X-T 5) lim cosx+1 6) lim X-7 sinx 8) lim(--)

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Q: Prove that (AXB)×C=B(A • C)-C(A • B).

A: The solution is given in the next step.

Q: Evaluate the following indefinite integral. 7 1+8t -dt 5t (Type an exact answer.) √ 1+8t 5t -dt=

A: The given integral is ∫1+8t75t dt

Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x* cos y)dy = 0 2−(2x² +…

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Q: 4n+1 -a) Find the sum of this series Σn=071 3x 8-x²-y² b) Evaluate dzdydx

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Q: Q2/A/ Prove cot² @ csc 0+1 + 1 = csc0 B/Find the value of c if f(x) is a continuous function at x =…

A: To prove the given trigonometric equation and  To find value of c for which function is continuous…