Find the FIFTH DERIVATIVE Given: f (t)

Q: 3. General solution of x dy = (2xe* – y + 6x²) dx

A: The given differential equation,     x dy=2xex-y+6x2dx

Q: A. Given f(x) = x³ - 4x2- 4x + 16, find; a. Zeros of the function b. Critical numbers c. local…

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Q: lim, -r(csc Tx )(Inx)] -TC

A: The given limit,limx→1-πcscπxln x

Q: Use TRIGONOMETRIC SUBSTITUTION 1 to find f dm m²V9-m2

A: LetI=∫1m29-m2dmI=∫1m232-m2dmSubstitute m=3sin(x)Differentiate…

Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use m or -co, enter…

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Q: Evaluate the following limits: x² - lim x→1 x-1 a) х-2 b) lim x→2 2- 16–x 2х -1 c) lim x→* x² +3x+5

A: a) limx→1x2-1x-1b) limx→2x-22-6-xc) limx→∞2x-1x2+3x+5

Q: Consider the following initial-value problem. 4 f'(x) f(9) = 31 %3D Integrate the function f'(x).…

A: We have to find the function.

Q: Find all solutions to the equation: [cos(x) + 1][2cos(x)– /3]=0. Bx equals fraction numerator 3…

A: Here, the given equation is: [cos(x)+1][2cos(x)-3]=0⇒cos(x)+1=0 or 2cos(x)-3=0⇒cos(x)=-1 ot…

Q: What is the exact value of csc(– 1305°)? V3 A B D 2.

A: using csc(-x)=-csc(x) and  csc(360n+x)=csc(x)

Q: Find the laplace transform of the following: a.) f(t) = t3 - t2 + 5t + 2 b.) f(t) = cos25t c.)…

A: We know that L{tn} = n!sn+1        and          L{sin at} = as2+a2        and       L{cos at} =…

Q: tan e de gec e + 4 cose

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Q: 15. Find the width of the lake pictured below: 900 ft 800 ft 70°

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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Q: dx 4 sın*3x tan

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Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: Cost of Producing Guitars Carlota Music Company estimates that the marginal cost of manufacturing…

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Q: and

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Q: x dx dy _dy V4 +

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Q: Part 4: A derivative computation using the FTC and the chain rule d d (F(2*)) = dx dt |3| e dx 20

A: Topic:- application of integration and derivatives

Q: x2 (x+2)³ In Ix + 21 + 4x+6 4x+6 (x+2)= In |x + 2| – (x+2)= +C Option 1 Option 2 ihk+ 21- 4x+6 In lx…

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Q: The position of a particle in meters at time, t, seconds is given by s(t) = cos2(3t). Find the…

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Q: Find the volume generated by revolving the area bounded by the parabolic arc Vx + Jy = Va and the…

A: Given problem:- Find the volume generated by revolving the area bounded by the parabolic arc √x + √y…

Q: 40 Зп Given sin(e) , where n<0<. Which of the following is true? 2 41 A csc open parentheses theta…

A: Given sin(θ)=-4041We know thatcosec(θ)=1sinθcosec(θ)=1-4041cosec(θ)=-4140We know that…

Q: даду

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Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: Evaluate the integral: 1. - 1 (1- 5x + x³ – 2x5 5х + x3 — 2x5 dx x2 2. S(y³ – 3,/y+ Vy) dy

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Q: Find the second derivative of the function. f(x) = 7x3/2 f "(x) =

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Q: fle 30 4) de 3e +1

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Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

Q: Part B. Find the equation of the circle of curvature of the curve y = 2x* – x at its minimum point…

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Q: Distinguish the Domain in A Function f of Two Variables from Range in A Function f of Two Variables

A: Suppose the function is: f:ℝ2→ℝ2

Q: EVALUATE THE FOLLOWING cot x dx 4 sınx + csC X 1.

A: A detailed solution is given below

Q: 3. X sinx eas x dx 2.

A: To find out the integration.

Q: You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the 4…

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Q: : Use PARTIAL FRACTION DECOMPOSITION to find -1 dm т2-6т-7

A: We have to find integrating using partial fraction.

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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Q: dx kx, x(t,)=x, dt where k is a constant of proportionality, serves as a model for diverse phenomena…

A: Topic:- function

Q: The function s(t) describes the motion of a particle along a line. s(t) = -14t+ 21 %3D (a) Find the…

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL

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Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) cosh (V2t – 1) dt at x = 1.

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Q: ri rV1-x² dy dx -1 Jo

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Q: Find the derivative. 8) y =V4x +2 dy dxN4x + 2 =N4x + 2 A) dy В) dx 4 1 N4x + 2 dy C) dx dy D) dx 8…

A: SOLUTION-

Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: 7) Assume that the temperature of a person during an illness is given by: 5t T(t) : + 98.6, t2 +1

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Q: Sketch the graph of f(x) = 2x + Vx*.

A: Given that we need to Sketch the grah of  y = 2x1/3 + x4/3  Now,  The graph is as follows

Q: 6. A particular leaf is comprised of 80 thousand cells. As the leaf grows, the number of cells grows…

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Q: I. Show that the function f defined by (r, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x+ y is…

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Q: D. Define the multiplication operation * as modulo 10 in G = {1, 3, 5, 7,}. Cr table for this.…

A: Topic:- algebra

Q: Find dy/dx by implicit differentiation. 8x3 + 9y3 = 66 dy/dx =

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