A. Find the first derivative of the given function/s. 1. у %3D a-w, B. Find the second derivative of the given function/s. 2. x x

Q: Find the L{y(t)}, given the initial value problem y" - 3y' + 2y = t - 2; | y(0) = 0, y'(0) = 1 %3D %...

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Q: iven the differential equation dæ? dy - y = cosh(x) + x ropose an appropriate particular solution. Y...

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Q: Find the exponential model y= ae that fits the points shown in the graph. (Round your value for b to...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: TAT So use the 1. Show csC x =- CSC X Cot x. (Hint: csC X = quotient rule.)

A: topic - derivative of a trigonometric function note: as per bartleby guidelines, we are supposed to ...

Q: 4. Brian wishes his son to receive P500,000.00 twenty years from now. What amount should he invest i...

A: Brain wishes fis son to receive P500,000.00 twenty years from now.

Q: tan 0 4. Given sin 0 %3D 4 and > 0, find other trigonometric functions?

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Q: Find L(y) y" - y = 1 0st< 2 It+1 t2 2 y(0) = y'(0) = 0 °L (1) = + +] -2s e %3| s(s2-1) s2-1 -2s L (y...

A: The given differential equation is: y''-y=1         0≤t&lt;2t+1t≥2;                y(0)=y'(0)=0There...

Q: d'y Given the differential equation + 4y = 0 and the initial dx2 conditions y(0) =0 and y'(0) = a, w...

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Q: A cable that weighs 8 Ib/ft is used to lift 700 lb of coal up a mine shaft 400 ft deep. Find the wor...

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Q: Show that sin 3x and cos 3x are orthogonal on [−π, π].

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Q: 2dt (t – 3)vt2 – 6t +5

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Q: 2х+9 1. limxo x-2 х-2 3x2+4 2. limx x³ –64 3. limxo x+25 x2 -81 x4+81 4. limx→-∞ х3—27 5. limx0 x³+2...

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Q: Use the arc length formula to find the length of the curve y = 3 − 4x,−2 ≤ x ≤ 2. Check your answer...

A: arc length of a curve y=f(x) on a≤x≤b is given by    L = ∫ab1+dydx2dx given y = 3-4x

Q: Int Find lim ( arctan t, e-7t, t-00 t

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

A: Given:    mg = 2    s = 1.5 inches = 1.5/12 = 1/8 feet     g = 32

Q: dy The equation dæ 1+In(xy) is fırts-order linear exact Bernoulli's equation O homogeneous coefficie...

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Q: Given the differential equation (2D² – 3D+1) y = csc(2rx) Propose an appropriate particular solution...

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Q: L{(1+t")e }=

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Q: dy Given the DE 6y? x , the general solution can be expressed as; dx 12x2 + C O 1 3x2 + C 3x2 + C - ...

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Q: This is a three-part problem: Let D be the region bounded below by the plane z = 0, above by the sph...

A: Given:    Speher : x2 + y2 + z2 = 4      Cylinder: x2 + y2 = 1      Plan : z = 0

Q: 2) cos 135° 4) tan 930° 6) cot 810° 8) sec -240°

A: To find:- values of given trigonometry functions  2. cos(135°) 4. tan(930°) 6. cot(810°) 8. sec(-240...

Q: Suppose a metal ball is heated in an oven at 195 ° C for a very long time. After, it was removed and...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: shopper covered a distance of 5 yards in 9 equal hops. How many yards did the grasshopper travel on ...

A: Distance of 5 yards is covered in 9 equal hops.How much distance is travelled in 1 hop.To find the n...

Q: A 10-ohm resistor and a 5-Henry inductor are connected in series with a voltage source rated at 20 V...

A: use KVL

Q: parts clearly with explanation. Also, please read the question carefully because sometimes my questi...

A: Topic:- calculus

Q: Use the arc length formula to find the length of the curve y = V 16 – x2, 0 s x < 4. Check your answ...

A: Circumference of a circle = 2 * π * radius

Q: What is the smallest number of terms of the series > (-1)"*! 1 that would have to be added in n 6" o...

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Q: Consider the following functions: f(x)= 9 – 2x and g(x) = 21 – x – 2x². Evaluate (f – 9)(a² – 1).

A: Given functions are fx=9-2x and gx=21-x-2x2find f-ga2-1

Q: Solve the differential equation: Finalize answer free of logarithms and radicals, Express final a...

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Q: L{(1+t")e 3t)= (1+)() n! sn+1 -3 1 n! s-3 sn+1 1 n! s+3 (s+3)"+1 n! 1+ sn+1 )() (2) s+3 (1)

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Q: P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)2. 7- 6 sin? ...

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Q: Find the inverse laplace transform of F (s) = 3se-s s2 +16 f (t) = 3 sin(4t + 4)u (t – 1) f (t) = 3 ...

A: Given:       Fs=3se-ss2+16      ft=L-13se-ss2+16 Apply inverse transform rule:   if L-1Fs=ft then L-...

Q: 2 dy + x da The differential equation g3. - 5y = e" is: %3D O linear and second-order O non-linear a...

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Q: 1. A through of length L has a cross section in the shape of a semicircle with radius r. When filled...

A: Given: A semi-circular through ,filled with water.  V=L[0.5πr2-r2arcsin(hr)-h(r2-h2)12]L=10ft , r=1 ...

Q: 6) Find the following: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1, 1...

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Q: Express the following differential equation in terms of a differential operator: d² 9. dx? •() + dy ...

A: The given differential equation is:9d2ydx2+12dydx+4y=0

Q: dy (9 + 4(2) + y = 0 Find the solution to the differential equation 4 dx? dx -2x y = cje¯ + c2e || y...

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Q: aph. f(x) = 흑x 8 %3D 10 9 8 6 4 3 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 -1 3 4 5 6 9 2 7 10 -2 No solutio...

A: Given query is to graph the function using graphing tool.

Q: A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for each gal...

A: Given:   A tank initially contains 50 gal of sugar water having a concentration of 2 lb of sugar for...

Q: Ten strands of healthy bacteria are placed on a petri dish and are allowed to freely multiply. Nutri...

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Q: Which of the following would be the most appropriate substitution to make to solve the differential ...

A: To determine: The best substitution for the differential equation

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

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Q: Find the volume of the solid formed by rotating the region bounded by the curve y = Va and the line ...

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Q: BASIC PROPERTIES OF INTEGRATION THTEGRATG THE FOILOWING stan2% Sec' 2xdx 2. 7) ァメuIS× COSX

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Q: Differentiate each function with respect to x. 4. y = (-5x^3- 4)^3 -2)^5 5. y = ((-5x^3 -2)^4 -3)^3

A: Since we are given with the multiple number of question and answered according to the guideline.

Q: Find a polynomial function of degree 3 with the given numbers as zeros. Assume that the leading coef...

A: We have to find f(x) 

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli eq...

A: We need to solve DE.

Q: dy The differential equation dx = y³ (1+ln x) - is O variable separable O Bernoulli's equation O lin...

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Q: Find the area of the shaded region. 15 ft 10 ft ft

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Q: Given the differential equation y" +3y + 2y =D Which of the (1+e²) following equations result after ...

A: sOLUTION IS GIVEN BELOW