The degree of DE: (y")^2 +3y(y')+y^3 (y')^5 = 5x 02 01 05 0 3

Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

Q: Find the solution of the following differential equation. (x² - 1) + 2y (x + 1)² dy dx 1.

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Q: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution…

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Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

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Q: Identify the surface defined by the following equation. -2²-8²2 +²²2 + -x-y + 10x -6y = 43 Select…

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Q: 5. Find the surface area of x = e³ that is of revolution about the y-axis on 0 ≤ y ≤ In 7.

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A: Let's find.

Q: H.W : Prave the orthogonality. Conditions for the Sine and casine functions....

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Q: 1. Set up the integral (but do not evaluate) to find the volume of the solid obtained by rotating…

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Q: The area bounded by y=1-x²₁ x+y=1 and the x-axis is submerged vertically in the water with the water…

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Q: Find the solution by using Solution of 2nd order D-Es me x ý XỨ Tỷ - xy + y = Lnx -

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Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

Q: For the function f(x) = -5x, find the difference quotient f(a+h)-f(a) = h f(a+h)-f(a) h

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Q: 5) The number of 3 - digit numbers with repeats, that are multiples of 5 and less than 600 that can…

A: Permutation is used

Q: 8 Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

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Q: For the function f(x) = 2x², find the difference quotient ƒ(a + h) − ƒ(a) h 4a + 2h h 4 a² + h 4 a +…

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Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =6

A: We have to solve the given differential equation.

Q: Find the exponential function f(x) = Cbx whose graph is given. y (3,500) f(x) = (1, 20) X i

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Q: y" - 3y" + 3y' - y = x - 4ex

A: Let's solve diffrential equation.

Q: The graph C' of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval.…

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Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: (a) Find the slope of the tangent line to the given polar curve at the point specified by the value…

A: We have to find the slope of the given polar curve at the point specified.

Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 12.1435 B) 13.1435 12.7834…

A: The region bounded by y=ex, y=ln x, x=e, the x-axis and the y-axis.

Q: Written Respons 1) A school's debate team consists of 9 students and must consist of at most 3 boys.…

A: team consist 9 student  maximum 3 boys it means 0 , 1,2,3 consider  total boy 12 total girl 9 so…

Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

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Q: Solve integration by (udv x cos(x) dx

A: The integration of the integral is xcos(nx) limit 0 to pi/2. Repost the next question.

Q: 10. Find the indicated limit. x²5x - 14 lim x→7 x - 7 Show any work necessary

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Q: A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft…

A: Let's find total work(W).

Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: (-2xy) dx + (Sing-x)dy 3 7 dy + 3xy dx = x ēdx • (3x-2y + 2) dx + (3y-2x-2) dy zo (y + x² ) dx = xdy

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Q: See

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Q: A number is chosen at random from the first 20 integers. Find the probability that the number is a…

A: Topic = Probability

Q: On your phone you have 23 rap songs and 14 country songs. How many 6 song playlists (order atters)…

A: Recall:  Crn=n!r!(n-r)!

Q: Write the equation for each requested curve a) Cosine curve with vertical compression of a factor of…

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Q: Which of the following integrals would best approximate the area of the region bounded by y²-x=0 and…

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Q: f' (æ) =Vx+, f(0)=2 f"(x) = 3x² 16x + 16, f'(0) = 1, ƒ(0)

A: Topic:- application of integration

Q: 1. ²³(x³ + x) dx 3

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Q: Gas is $5 a gallon. The vehicle gets 20 mpg. Tech makes $30 an hour. He speeds 15 mph over the speed…

A: Gas costs $5/gal  Mileage = 15 miles/gal  Thus, for every 15 miles he will pay $5 if he is not…

Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: L 1 1 {}} 2 S S + 1 S-6

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Q: 2. For the below ordinary differential equation, state the order and determine if the equation is…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

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Q: Find the area bounded by the curve r = 2 - cos Upload Choose a File

A: area

Q: A bacteria culture starts with 500 bacteria and doubles in size every half hour. (c) How many…

A: Topic:- exponential growth function

Q: Solution: Here f(t) = 24,0 < + <l 0,1 < t <2 Here period of f is 2L = 2 L = 1 ". The Complex Fourier…

A: Given problem:-

Q: 5. y = 5 tan x³ + sec (3x)

A: Topic = Derivative

Q: Find the area bounded by y=-x²+1, y = −2x+2, x=-2, and y=2. A 16/3 B 5 None of these D) 4/3 E) 1/3

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Q: Find the lower sum for f(x) = +4 on the interval [-4, 0] using 2 rectangles. 10 "F Submit your…

A: Here we have to find the left sum of given function.

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: Topic:- calculus