Using the definition f continuity justify X-Values where the funcion is not continur 7) fus = %3D if 2x-1 if o 2 -1it 35x 3x+3 X>

Q: Which of the following equations CANNOT be solved using the method of undetermined coefficients? y "...

A: Firstly we define method of undetermined coefficient

Q: Let f be defined by the following. S2x-3 f(x) = 6 - x if x < 3 if x 2 3 (a) Is f continuous at x = 3...

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Q: Consider the following functions: f(x)= 9 – 2x and g(x) = 21 – x – 2x². Evaluate (f – 9)(a² – 1).

A: Given functions are fx=9-2x and gx=21-x-2x2find f-ga2-1

Q: The differential equation ( + 2y) dx solved with which of the following integrating factors? -2 V = ...

A: Given, The differential equation 1x1x+2ydx-dy=0 We have to find the integrating factor.  

Q: L{(1+t")e 3t)= (1+)() n! sn+1 -3 1 n! s-3 sn+1 1 n! s+3 (s+3)"+1 n! 1+ sn+1 )() (2) s+3 (1)

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Q: B. EXACT EQUATIONS Find the general solution of the following differential equations (1) (x² + y²) +...

A: Solution is given below:

Q: What is the appropriate integrating factor to the ff. linear differential equation? dy + (1+ xcotx) ...

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Q: The Laplace transform of t" is valid for s not equal to 0 O s0 O s>n

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Q: 5) Find the following: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1, 1...

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Q: (+e") dy In the given DE, cos x + In y + dr integrating the coefficient of dx, M (x, y), with respec...

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Q: For a given function, F(t), the Laplace transform is obtained by integrating the integrand e-st F (t...

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Q: Differentiate each function with respect to x. 26. f(x) = ln(3x^2/4x^5-5)^5 27. f (x) = ln (x^4/4x-5...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

A: We have to find the differential equation that models the system.

Q: sec(ln r) tan(In r)dr 7. J4r? -r sec(ln r) .2 1/

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Given the following differential equation, D (2D3 – 6D² +5D) y = 0, to determine the values of the -...

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Q: (a) Find the largest number & such that if |x - 1| < 8, then 14x - 4| < ɛ, where ɛ = 0.5. %3D (b) Re...

A: The solution of two parts are given in the next steps.

Q: x dy -ydx -Vx²_yz dx =0

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Q: Differentiate each function with respect to x. 3. f(x) = ln (-5x^2/4x^3+1)^2

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Q: Solve for all values of x: sin-1(x) + cos-1(2x) = pi/6

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Q: Sesame seeds are often used as a garnish in Asian dishes. However, they need to be toasted at 350°F ...

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Q: Simplify. - V4 = 0

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Q: 3 dy 1+a da The differential equation dx? O second order and ordinary O linear and ordinary O non-li...

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Q: P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)2. 7- 6 sin? ...

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Q: A 10-ohm resistor and a 5-Henry inductor are connected in series with a voltage source rated at 20 V...

A: use KVL

Q: 1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6 C.-7...

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Q: [(30oshm +e coshm sinhmdm +eoshm 4.

A: First we put cosh(m)=u and differentiate both sides with respect to u and solve it 

Q: Given the following graph, what is the corresponding function (t > 0)?

A: From the given graph ,what is corresponding function 

Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

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Q: Slope of the normal to curve xy-3x+2y=1 at (3,2) is? Please solve it in steps! Grade 12.

A: Find slop dy/dx=m

Q: For each problem, find the equation of the secant line that intersects the given points on the funct...

A: Here is the solution

Q: 6. Determine the Laplace transform of y" given y (0) = 4 and y'(0) = 2. * O A.) (s^2)[ y (s)] – 4s +...

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Q: Perform the indicated operations. Simplify the answer when possible. 2/32 +5/50 - 3 18

A: Simplified

Q: dy For dx Vy + 2x – 5 2. the substitution m = y+ 2x converts it to which of the following separable ...

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Q: If x – y is an element of the set of positive real numbers, then A.) x > y B.) y^2 y^2 D.) All of ...

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Q: Let S = {intersection of [2,4) and (3, 6]} union (4, 5). Determine Sup S. A.) 3 B.) 4 C.) 5 D.) 6

A: Given that:  S = {intersection of [2,4) and (3, 6]} union (4, 5)

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: x2+6x+8 . f (x) = %3D x²+7x+12

A: Herei s the solution

Q: Evaluate the given indefinite integral. Indicate u, n, and du. ((e-4)de (0+5)

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Q: A small metal bar, whose initial temperature is 40°C, is dropped into a container of boiling water w...

A: Follow the procedure given below.

Q: Express the differential equation d?y dy 30y = 0 - dx? dx in differential operator form. O (D – 5) (...

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Q: dx -x - e

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Q: Given: x'(t) + 2y(t) = - 1 where, x(0) = y(0) = 0 x(t) - y'(t) = 2t Find : v(s) = L{y} 3 s(s² +2) s(...

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Q: Suggested Title: New Note Edit 15 February 2022 at 5:00 pm zp /2 Integrate using trigonometric subst...

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Q: Hanging cable. It can be shown that the curve y(x) of an inextensible flexible homogeneous cable han...

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Q: Solve the differential equation with appropriate method. Finalize answer in terms of x and C combine...

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Q: (1, 0 2 L (2) = + e (-!) te-2s (s-1) S (음 + 1) O. e2 L (y) = -2s e - s2 ( (s-1) °L (y) = -2s e (s+1)...

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Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = f'(x) =

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Q: Which of the following is a possible solution of y – 4y = 0 %3D O y =-2 cos(r) Oy = -e-2 O y = e" O ...

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Q: Solve the following initial value problem for  y = f (x). dy dx  =  e−3x, y = 79  when  x = ...

A: dydx=e-3x and y=79 whrn x=0

Q: Length of x-interval. In most cases the solution of an initial value problem (1) exists in an.x-inte...

A: Solve it for finding the best possible a and compare it with actual solution.