Find the average value of the function g(x) = xe *in the interval [I, 4].

Q: xp (1 +x) *+1 dx= 3. Evaluate.

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Q: 2. Evaluate: 3 dr. 2x – 14 (Use limits and avoid words such as undefined; take care to state your di...

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Q: 15

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Q: Draw the graph of the following functions and give the domain  and range of each.

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Q: Given the differential equation y" - 3y' = 4x e-3x The combined set of Differential Operators for th...

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Q: cos(x) dæ with n = 4 is: The Trapezoidal Rule approximation for

A: Given ∫14 cos(x)x dx   n= 4 here f(x) =cos(x)x

Q: xe-x*dx dp.

A: ∫-∞ ∞ xe-x2dx  

Q: (x+ x+)dx + By xdy 2. (3x-y-4)dy - (x+y-4) dx a0 1. when XE4, Y=

A: Topic:- differential equations  Note:- as per our guideline if more than one question uploaded than ...

Q: homogenous DE 3udv-vdv-udu-vdu=0

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Q: Solve the Differential Equations (FODE). xdy – ydx = (x² – 3axy + 2a?y²)(xdx + ydy)

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Q: him 1- CO13X

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Q: Solve the first order differential equation. (3x - y - 4)dy - (x + y - 4)dx = 0

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Q: Let a be a positive constant. (a) Find a formula for the nth derivative of f(x) = eax. (b) Find a fo...

A: We have to find nth derivative.

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y 1 1...

A: The region bounded by y=1+ln x3x between x=1 to x=2

Q: An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider 0 and...

A: Given data H=5miles Speed =336 miles per hour We have to determine angle  

Q: Compute the directional derivative in the direction of v at the given point. S(x, y) = xy – x, v=i-j...

A: Given problem:- Compute the directional derivative in the direction of v at the given point. f(x,y)=...

Q: 5. Using the given graph on the side, determine if the function f is continuous on the following int...

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Q: Evaluate the integral. dx x In x6 O !In(lIn x) + C O In x6+ C O tin xé + C O In(In x) + C

A: Solve the integration by substitution method

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: 1 5 e dx 2メ

A: Given: I=∫15e2x2xdx We know that; ∫c·fxdx=c·∫fxdx Where, 'c' is the constant. And ∫eax+bdx=eax+ba+C

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 11y and y = x with y...

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Q: The temperatue of a town t months after January can be estimated by the function f(t) = – 28 cos( + ...

A: Given that: f(t)=-28cosπt6+41

Q: ý dy マ/2 y+16

A: Given that: ∫y2dy(y2+16)3/2

Q: QUESTION Use a calculator to find the value of the expression in radian measure rounded to two decim...

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Q: Determine if continuous f (x) = V4-x at x=0 %3D

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Q: Determine the convergence of the following series

A: let ∑an n=1∞ be an seriesconvergence of the series can be detremined the ratio test.iflimn→∞an+1an &...

Q: Solve the first order differential equations 1 (x³ + y4)dx + 8y³xdy = 0 when x = 4, y %3D | 2

A: differential equation

Q: 9. ſ csc 3x dx 10. S sin x e cosxdx CoSx

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Q: Let f(x)=1/2 sqrt3x over the interval [0,3]. Find the surface area of the surface generated by revol...

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Q: Find distance between two lines x = 1 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 5 + 15s, z = -2 + ...

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Q: Find the solution to Integro-Differential Equation.

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Q: 7. Consider the region above the r-axis and below y = e-² with x > 1, shown below. 4 Consider a wiza...

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Q: Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 5...

A: The Hooke's states that the force is proportional to displacement x. Which means F=kx Where k=Propor...

Q: Integrate the function. 16x +즐 + C V16 -2 8 sin 1 +C 2 V16-2 +C + 16V16 - x2 8x - W16-2 +C

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Q: Use a truth table to represent the following statement. Ensure that you explain the steps taken. Rox...

A: Given:     1.Roxanne, Sam and Thomas will attend the play if and only if Vince doesn’t attend,     2...

Q: Use Simpson's rule with n = 4 to approximate 11 3Va? + ædx Keep at least 2 decimal places accuracy i...

A: ∫abf(x)dx=∫3113x2+x dx where   a=3,b=11 and n=4then h=b-an=11-34         h=2 Simpsons Formula is giv...

Q: write the slope-intercept forms of the equations of the lines through the given point parallel to t...

A: This is a question related to equation of line and slope passing through particular point.  General ...

Q: 4) metabolic rate (kcal/h; tog scale) Biologists often investigate relationships between properties ...

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Q: п+3 а. Zn=1 2n-1.

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Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

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Q: I. Directions: Choose and write the letter of the correct answer on the answer sheet provided. 1. Wh...

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Q: valuate and solve the linear differential equation (D5 - 15D3 + 10D2 + 60D - 72) y = 0

A: Given: (D5 - 15D3 + 10D2 + 60D - 72) y = 0

Q: Find the point on the graph of the given function at which the slope of the tangent line is the give...

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: We know that the trigonometric identities; 1). sin2θ+cos2θ=12). sin2θ=2cosθsinθ And ∫1ax+bdx=1alnax+...

Q: Diego mixes together three types of vitamin tablets.  Each Super Vim tablet contains, among other th...

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Q: Given the differential equation y" - 9y = 7x5 + 4x² e-8t Find the Differential Operator for the Righ...

A: Consider    7x5+4x2e-8x Differential operator of 7x5 is D6Differential operator  of 4x2e-8x  is (D+8...

Q: (12z – 12z2 + 71z – 77 Integrate: 4x2 + 25 - la( |42° + 25|) – arctan X + C

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Q: Let f(x,y) = ln(100 − x^2 − y^2). a. Find the domain of this function. b. Find the boundary of the d...

A: We know domain of log(x) is (0, infinity)

Q: п — 1 - sin" xdx sin"-2 xdx. n

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Q: Find the DE of each of the following by eliminating the arbitrary constants. y = ln tan(x – A)+B

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