Solve for the equation by equating coefficients: y′′ − 3y′ + 2y = 2x^2 + e^x + 2xe^x + 4e^(3x)

Q: Find the root of equation Cosx- 2x =0 near to 1 using iteration method correct to 2 decimal places.

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Q: (x- 2x +3)e-° dx.

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Q: A non-exact equation can be converted to an exact equation by OA. Multiplying with the Integration…

A: Choose the correct option:

Q: 3x+4 3. f(x) = x2+3

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Q: give 3 examples of the reciprocal rule of integration formula

A: The reciprocal rule for the integration is: ∫f'(x)f(x)dx=ln |f(x)|+C

Q: x3 dx (x – 1)5 y = Select one:

A: First evaluate the integral by substitute method. Then apply the limits of integral.

Q: Find the second derivative of 1/square root of 2t

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Q: With the help of Weingarten equation show that H[ñ ñ2 ] = FN – GM %3D

A: Given: To show the given statement as follows, The given  H    n→  n2→  r2  →  = FN - GM.

Q: Find the third derivative of y = (6x - 1). Show your %3D in negative exponent.

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Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: 14. √ √2-√x dx

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Q: The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the…

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Q: Find y" by implicit differentiation. 3x3 + 4y3 = 2

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Q: The sides of a square decrease in length at a rate of 1 m/s. At what rate is the area of the square…

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Q: 1) I ftet dt

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate…

A: Given,dAdt=-4 cm2/minA=100cm2Let,x=side of the equilateral triangle find dxdt when dAdtis decreased…

Q: The altitude of a triangle is increasing at a rate of 3 cm/minute while the area of the triangle is…

A:

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: Find y" by implicit differentiation. 2x3 + 3y3 = 2 y" :

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Q: To four decimal places, approximate the solution to the equation: e2z +3 = 13 - -

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Q: Find y" by implicit differentiation. 2x3 + 3y3 = 2 y" =

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Q: Describe a first step in integrating x10 – 2r4 + 10x² + 1 -dx. 3x3

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Q: 2. y" + 2y' + y = e-* In x

A: General solution of non homogeneous differential equation is sum of complementary part and…

Q: lamppost 6 m high at the rate of 1.3 m/sec. At what rate is the end of the person’s shadow moving…

A:

Q: A patient's blood is traveling at a rate of 16 mL/sec while conveying a medicine into the liver and…

A: so, initially, liver is full at t = 0, but has no medicine,  medicine rich blood comes in, mixes…

Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

Q: y = csch /sec(x³ + 2)

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Q: use differentials to estimate the amount of metal in a cylindrical can that is 12cm high and 8cm in…

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Q: How do you integrate 25e^-x?

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Q: An object is thrown upward from a height of 960ft960⁢ft with an initial velocity of…

A: The equation for the object's height 'h' at time t seconds is given by h(t)=-16t2+V0t+h0 Where V0 is…

Q: 2dx 4х-3

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: Find 2 at the point (4,1,6) for -6x² + 7 ln xz + 4yz² – 2e? = 0 %3D

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Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: here we have

Q: Find the second derivative of y = -5 %3D -

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Q: he surface area of a cube is increasing at a rate of 122.2 cm2/s. At what rate is the side length of…

A:

Q: The kinetic energy of an object varies jointly with its mass and the square of its velocity. What…

A: let: Kinetic energy be k Mass be M. Velocity be V The kinetic energy is directly proportional to…

Q: for dx

A: Given integration is : ∫exdx To find the value given integration by parts.

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Formula of area of triangle 12bhWhere b is the base and h is the altitude Chain rule (uv)'= u'v+uv'

Q: Obtain the positive root of the equation 3r -V1+ sin(x) by iteration method with 3 decimal places…

A: The equation in form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: After an hour, the population of bacteria with a number of P0 found that their number became 3 /…

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Q: Solve DE using Bernoullis Equation

A: NOTE: Refresh your page if you can't see any equations. . take reciprocal on both sides…

Q: How can you apply integral and differential calculus in real life situations?

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Q: A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above…

A: dx/dt​=4.  given.    Distance of tip= y+x…

Q: Calculate the second and the third derivative of y = 5x- 9 y": y"

A: Using derivatives rule & formula.

Q: The side of an equilateral triangle increases at the rate of 2 cm/hr. At what rate is the area of…

A: Value=?

Q: The homicide rate decreases at a rate of 3%/yr in a city that had 800 homicides/yr in 2018. At this…

A: dH / dt = rate of change of homicide rate = - 3% = - 0.03 x HPlease see the white board for…