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Q: Find the limit  1) lim x--->2   ( x^2-x-6 ) / ( 4-x^2 ) 2) lim x--->0  sqrt(9+2x)-3 / 5x 3) limx-...

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Q: The equation of a curve is y = 4Vx+ Vx dy (i) Obtain an expression for dr (ii) A point is moving alo...

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Q: 9.

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Q: Integrate using the

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Q: The voltage drop across an uncharged capacitor with a capacitance of 106 farads is O 10 O 106 O 106 ...

A: We have given uncharged capacitance  with capacitance  C=10-6 F Using Formula  Q=CV As capacitor is ...

Q: Find the exact length of the curve. 1 y = -x° 4 x² -- In(x), 1<x< 4 | 2

A: Given curve, y=14x2-12lnx   ;  1≤x≤4  

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: 8) Determine if the line given by r(t) = intersects the xz-plane. If so, determine at what point.

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Q: Find the exact length of the curve. y = x3/2, osxs 6 3

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Q: 3 sin (t) cos“ (t)dt

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Q: Given the following graph, what is the corresponding function (t 0)? 1 1 O y =t – tu (t – 1) + 2 u (...

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Q: 5Y is: The differential equation sin(y) y" = (1 – y) y' + y²e¬5y; non-linear and ordinary O partial ...

A: sinyy''=1-yy'+y2e-5y is the given differential equation.

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: D tgy x,y) and fgy (X,4) ) Given f(x,y)= 8x cos (y") find 9. Sin ly") ty 3. 8x 3 > -32x 53 3. 32x |-...

A: Given query is to find indicated partial derivative.

Q: ind the general solution : a csc() – y] da + ædy = 0 X CSC x = e (csc + cot ) In (ese + cot ) In = c...

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Q: 2+cost Use IVT to show that g(t) = [0.7]. takes on the value 2.5 in the interval 1+ sin t

A:  By using IVT we have to show that g(t) takes on the value 2.5 in the given interval.

Q: Q: A bucket of height 8 cm and made up of copper sheet is in the form of frustum of a right circular...

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t?k, u(t) = 5ti + t³j ...

A: Given: - The function is, r(t)=ti+5tj+t2ku(t)=5ti+t2j+t3k To find: - The derivative of (2t)u(t),

Q: evaluate the definite integral of " sqrt{x}ln{x} " for the domain [1, 2

A: Given: - The definite integral is, ∫x.lnxdx for the domain1,2 To evaluate: - The solution of the giv...

Q: Given the differential equation dæ? + y = e-bª sin(æ) Propose an appropriate particular solution. Yp...

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Q: evaluate

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Q: Find the most general antiderivative of f(x) = -3x – 7xL7. Note: Any arbitrary constants used must b...

A: Topic = Integration

Q: Ms. Tep holds a bundle of 100 dollar bills. The bank teller told her that it sums to 20,000 dollars....

A: To find the answer of the above question lets find the difference between linear search and binary s...

Q: Consider the graph of f(x) given below and compute the limits. 15- 10- -10- -15- 4. lim f(x) 5. lim ...

A: Graph of the function f(x) is given we have to find the given limits

Q: If f(x)=3x^2−x+3​:   A. An estimate of f′(5) using the interval from 5 to 5.1 is___.   B. An estimat...

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Q: solve the differential equation: y' + (4/x)y = x^4

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Q: lim (4.x – 3) = 9

A: The given limit,      limx→34x-3=9

Q: y" -y + 2x t2 where: a (0) = a' (0) = 0 %3D y (0) = y (0) = 0 Find: L (y) L (y) 293 s+2 - OL (y) = 2...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Topic. = Volume

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

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Q: BASIC PROPERTTES OF INTEGRATION IHTEGRATE THE FOllowING: 8. 2 t 22 tz I 32 +3z*+x° 9) + " () वg 3. 3...

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Q: Applying variation of parameters to the DE: y" - y = e +e-, we get the following system of equations...

A: The solution is given below

Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1) s...

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Q: Which of the following equations can be solved using the method of undetermined coefficients?

A: Given that: 1. y''+6y'+9y=xcosx2. y''+4y'+5y=5x-2sinx3. y''+3y'+2y2=2xcos(3x)

Q: The general solution to (D4 – 4D²) y = 0 is O y = c1 + c2x + c3x?e=2# + C4x³e2 + C4x° e2a -2x O y = ...

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

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Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in t...

A: NOTE: Refresh your page if you can't see any equations. . the graph crosses the x-axis at x=0, x=2 a...

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. dx = 12+36

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Q: Let D be the region bounded by the paraboloids z = (8 - x^2 - y^2) and z = (x^2 + y^2). Write six di...

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Q: 1) Three forces act on a weight. Two of the force are at an angle of 100° to each other. One has a m...

A: Solved below

Q: Problem 2: French's Electronics is selling laptop computers. It determines that its total profit, in...

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Q: oulli’s equation, x' = a(t)x + f (t)x^n, n /= 0, 1, was proposed for solution by James Bernoulli in ...

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Q: If f(x)=3lnx​:   A. An estimate of f′(1) using the interval from 1 to 1.1 is_____. B. An estimate of...

A: Given:     f(x) = 3 ln x

Q: 11). If dy = (2x – 3) dx and y = 2 when x = 3, find the value of y when x = 5.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the ot...

Q: 2. If P(0) is a point on the unit circle and 0 (0)? , what is the coordinate of P

A: Given query is to find the coordinates of p.

Q: Find the approximations T, M and S, for n = 6 and 12. Then compute the corresponding errors ET, EM, ...

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Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter y...

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Q: dx + 2xydy: こD (6x²+y²)

A: follow the procedure given below.

Q: Find the exact solution y to the initial-value problem dy =ry'/2, dr y(1) = 4.

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

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