Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) d'y dx2 + 2y = 3 , y (0) = 0, y(2) = 6

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: Find the distance between the parallel planes 10х — 5у — 52z — 26 — 0. 2х + у + 2 %3 0 and - - NOTE:…

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Q: Which of the following yields the value 3580? O none of the choices (18x+7y)dxdy (18x+7y)dydx…

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Q: Q2) Convert the polar function r = tan20 to cartesian. %3D

A: Let's find.

Q: 10 if f(x)= t +P, then %3D f'(X) = f'(-2)=

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Q: 36. (х, у) —- (0, 0) lim (x + y²) In(x² + y²)

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Q: Determine whether the line and plane intersect; if so, find the coordinates of the intersection. (a)…

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Q: Q2) Convert the polar function r tan20 to cartesian.

A: We have to convert polar equation into Cartesian equation

Q: B. Evaluate the following 1 dx 2. 2 tan(x)dx 3.

A: We have to slove above question

Q: Find the value of Oa 43 Ob.53 Oc 23 Od 13

A: Given: I=∫0∞e-3tdt   As we know that; ∫eax+bdx=1aeax+b+C

Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* – 5x³ + 65 , start at x =2 , accuracy…

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Q: (b) Repeat part (a) using 3 subintervals and the velocity at the midpoint of each subinterval. mi

A: answer is in next step

Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

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Q: 3 5 8x 15 dx 5 x4 |

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Q: Consider the parametric curve defined by 1=3+5t and y=1+3 Over which values of doesthe curve has a…

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Q: x² + 2y? + 3z² 18. lim (x, y, 2) →(0, 0, 0) x² + y² + z?

A: We have to find the limit by two ways method

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: 2. S dx I+,x

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Q: Given that x=t3+t and y=3/2t4+t2, find dy/dx, d2y/dx2, d3y/dx3

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Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

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Q: Vx – 8 = xy + 2

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Q: : / yº sech(e™mv) tanh (» ) dy 7lny Evaluate: @ -ch(7) + C None

A: Given problem:- ∫ y6 sech(e7ln(y)) tanh(e7ln(y)) dy

Q: Cha invests Php5,000 in an investment that earns 5% per annum. How many complete years does it take…

A: The given problem is solved below in detail.

Q: Use the limit definition to compute the derivative of the function f(x) = Vx + 2 at x = 1. (Use…

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Q: Which series converge in the interval described by |x| < 1? 1. 1+x+x^2+... 2. x+x^3 + x^5+... a.…

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Q: Find the value of c where lim(x) does not exist for the graph of the function shown below a. none of…

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Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of ¡ does the curve has…

A: The given parametric equation is x=3+5t, y=1+3t The curve length is 34 Let the value of t is t1 to…

Q: Differentiate D = x2 + sin25x with respect to t and simplify. x2 + sin? 5x dt dt x2 + sin2 5x)1/2 dt…

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Q: 4. Find the Laurent series of the following function : f (z) = (z + 1)(z + 3) 1 region 2 < |z – 1| <…

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Q: Given the set of parametric equations x = 2t2- 1 and y = 3t + 4, eliminate the parameter t and…

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Q: Question 5. Find the Laplace transform of the following function by using the integral definition of…

A: Given problem:-

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: sin x Let g(x) = 1 ot. Find the derivative d'(x). '2 1+t3 none of the choices cos X 1+ sin3x sin? x…

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Q: Integral using trigonometric sub The answer in the integral is: sin(20) + C 8 4 If x= 2sece then x/2…

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Q: ) Evaluate the following integral using Partial Fractions Method: y = x3 + x2 dx х2 + х — 2 x – 2 |

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Q: Q1) Evaluate the following integral using Partial Fractions Method: x3 + x? dx х2 + х — 2 y I|

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = V9x2 + 16

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Q: 12x 3 3 15 12 x4

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Q: Find an equation of the plane through (-7, 2, –6) that is perpendicular to the planes 4x – y + z = 4…

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Q: 1 Find "(x) if Ax) -. %3D X+1. 1 (x+1) (x+ 1) -2 (x+ 1)3 12

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Q: QI) Evaluate the integral dx dy using polar coordinate

A: Solving

Q: Determine the general equation of the plane Ω passing through the point P(−5,−4,1) and parallel to…

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Q: Find y' if 4 cos x cos y = 3y. %3D

A: To find the derivative.

Q: Solve for "z" 7x + 3y + 8z = 10 -8x + 1y - 5z = 18 1x - 8y + 2z = 16 Round answer to 2 decimal…

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Q: Find the saddle pointis of the function f(x,y) = x° +y°+i y+4 Oa(5-1) Oc (4.0) & (4,0) Od(0.0)

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Q: %3D /Q5) Find volume of body bounded by z2 +y2 + x2 = 4.

A: To find the volume of the body bounded by z2+y2+x2=4.

Q: Apply the chain rule to differentiate the following functions. Show your complete solutions and…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Let a = ci + jand b = 16i + 12j. Find c so that the angle between a and b is Round your answers to…

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Q: Sx³e** dx

A: To evaluate: ∫x3e4x dx