Show that the particular solution of the differential equation d²y dx² -6y-12(x+ e*) +5% dx 5 is y=3e-2x - 2e-³x + e* + 2x - given that y = and 3 dy . 3 dx = 3 when x=0.

Q: Find if dy dx y = (cos x) * O (cos x) * (-sin x) O (sin x) * (In cos x - x tan x) O (sin x)* (In cos…

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Q: [4pts] Consider a point in Cartesian coordinates given by (3√/3, -3, -8). a.) Find a corresponding…

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Q: y = ln 1-x² 1+x²

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Q: A. REMEMBERING Multiple Choice. Calculate the limits of the following functions. Write the correct…

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Q: he point  P(8, −3)  lies on the curve  y = 3/(7 − x). (a) If Q is the point  (x, 3/(7 − x)),  use…

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Q: [CLO-3] The second derivative f(x) of a function is given. Use this information to determine where…

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Q: A particle moves along the path whose parametric equation are x = t³ and y = 12t2. What is the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: The area cut off by the x-axis and the curve y = x2-3x is rotated about the x-axis. Find the volume…

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Q: Find the volume V(S) of the solid S generated by revolving about the x-axis the region R bounded by…

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Q: 3 3. √√26.91

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Q: y=x² - 4x and y=-x²+2x.

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Q: f(x)-f(1)_3, then lim ¸ƒ(1+h)−ƒ(1) _3. x-1 h If lim: (a) (b) TRUE FALSE

A: Solution of given question is written in below steps.

Q: Find the length of the curve x = y²³² +1 on 21 44 чу 3≤7≤5. □ стуре fraction, or round to the an…

A: To find the length of the curve.

Q: Determine y(4) for y=ax³ +bx+c where a,band care constant. (a) 6a

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Q: Evaluate the triple integral ryd xydV where E is the solid tetrahedon with vertices (0,0,0), (10, 0,…

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Q: Q4) Find the maximum eigen value for the system 4 = x¹ (0) = (1 1) 3 12 54 with initial vector

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Q: A horse tied to a post with twenty foot loop. What is the longest path that the horse can walk? a.…

A: Here we have to find the circumference of a circle.

Q: Laplace transform of the following functions a) cos3t b) (e^(2t)-e^(-2t))^2

A: Let's solve laplace transform of given function.

Q: Given R(t) = 4 costi + (1+3cost)j +5sintk. Find B(t) att = 7. 3 B (t) = 3/1 - k i- B (t) O Option 1…

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Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: ind the average value of the function f (x, y, z) = x² + y² +2²³ over the rectangular prism 0≤x≤ 5,0…

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Q: 4 None of the Choices f(t) 1 (e²+ e ²¹)-(e₁-e²₁) Option 3

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Q: Find the equation for the line tangent to the curve 2ey = x + y at the point (2, 0). Explain your…

A: Equation of tangent to curve is given.

Q: 2. x² + 4xy + y² = 1

A: Differentiation

Q: A Moving to another question will save this response. Question 11 {CLO-1} Find the values of a and b…

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Q: What do you call the numbers below. Ta(1) 2= 1^3 + 1^3 Ta(2) = 1729 = 1^3 + 12^3 =

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Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: Numbers 13,14,15 please

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Q: (a) Find the general solution of the differential equation d²y dx² +9y = x² + x + 1.

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Q: Solve the differential equation y""+y" = 3x² + sin x − 2 cos x

A: We use techniques of higher order differential equations to solve the given differential equation.

Q: y = 25

A: Topic:- function

Q: Evaluate the triple integral edV where E is bounded by the parabolic cylinder z = 1 - y² and the…

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Q: calculator. Use this graph of function f. y at X = O conly. Od only. Oc and d only. O a, b, c, and…

A: Topic:- function

Q: -1 position (s, cm) 153 10- 5+ 0 2 3 4 time (t, seconds) 5

A: Slope of position(s) graph gives speed. i.e. Speed =dsdt

Q: Q: find the cartesian equation of the plane Containing the point p(2.1.1) and parallel to the plane…

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Q: The following Exercise asks you to find the area between two curves. To achieve this, we have the…

A: Solution is given below:

Q: Given R(t)=4 cos ti + (1+3cost)j +5sintk. Find T'(t).

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Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) = x² + xy + y² - 9x…

A: Given :T(x,y)=x2+xy+y2-9x+3

Q: 7. The particular solution of (D³ + 2 D²-5D-6)y = 0, when x = 0, y = 0, y = 0, y" = 1

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y² =25 and…

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Q: why it is 7rad over 4??

A: why it is 7rad over 4??

Q: (CLO-1, CLO-2) Find xe = sin(xy) - ex xe − x cos(xy) e xe − x cos(xy) y sin (xy) - e xe – x cos(xy)…

A: Given;  xey=sin(xy).

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Find all the local maxima, local minima, and saddle points of the function. 3 f(x,y) = x³ +y³ + 3x²…

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Q: Solve the DE by Bernoulli's Equation 3 1.6 y² dx - x (2 x³+ y) dy = 0

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Q: 19. Find potential function for = (3xy, æ³)

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Q: b. K = 1 3 k - 3 к 4

A: Topic:- sequence and series

Q: 5) Given the price-demand and price-supply equations below, determine the equilibrium price and find…

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Q: X₁ = (-1, -2) & (3, 1) Y₁ = ; X2 = m m Final answer: Trend: || Y2 =

A: Slope of a line is = y2-y1x2-x1If the slope is positive then the trend is that as x increases y…

Q: What is the area of the region between X |y=x2–2x−3 and the x-axis from x=0 to x=4?

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