- (2D³ – D² + 1) (In cos x – 2 tan x)

Q: 8. im e* 2x 9. lim e* 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim

A: As per guidelines we can solve only one question at a time so if you need more answer kindly repost ...

Q: 6) Evaluate each integral. 5x-3 x²-7x+10 | u Sun 7x-x² +11x-3 (x² +1)(x² +3)

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Q: Consider the polar equation r- 3+8 sin(8), whose graph is shown below. 10 8 2 -6 -4 4 6 Notice that ...

A: The given polar equation is  r=3+8sinθ. We have to find four angles θ where the tangents are vertica...

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Q: oraw Ahe follouしづく un ions 人nctions -コ=PCx) =3x +2 4=X=y3

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Q: Exact Diffe rential Equation: x(3xy - 4y' +6) kx + (x³ – 6x²y² -1\dy=0

A: Check firstly it is Exact or Not.

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A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the ge...

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Q: 4. Homogeneous Diffe rential Equation: (r+2ry-4y kdx-(x² -8.ry-4y kdy= 0 y Use the substitution y wx...

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Q: Q5) Solve and the doketion. (x*D - xD -15I g(リー45

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Q: 1.What is the derivative of f(x)=e8x+3?

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Q: Evaluate the following limit or state that it does not exist. (Hint: Identify the limit as the deriv...

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Q: 2. y"-7y'=(2x-1)sin 2x

A: Given,y" - 7y' = (2x-1) sin2xNow substituting the value:y" = D2yy' = DyD2y - 7Dy = (2x-1) sin2xD2y -...

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Q: A potato is dropped from a height of 70 feet. Its height above the ground t seconds later is given b...

A: Put S=0 which means potato touch the groun so that height from groun is 0.

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

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Q: Homogeneous Differential Equation: (x* + 2.xy – 4y° kdx – (x² –8xy – 4y² kdy = 0 y. x=2; d = wdx+ xd...

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Q: xy' + y = x³y³ Inx

A: This question is related to differential equations, we will solve it using given information. 

Q: xdy- (4x²-2y)dx = 0

A: This question is based on solution of linear differential equation.

Q: o y The order of the differential equation 5x- ôʻy + 3x + w²y = 0 is ôx

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Q: - Separation of Variables: x(y+1dx+| 2| dy = 0

A: Given:- x(y+1)dx+yx2dy=0   To find:- General solution of given differential equation

Q: (4) At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailin...

A: Here we will find the distance between ships and rate of change of distance between two ships,  

Q: Elimination of Arbitrary Constant: y = Ax + Bx+C, A and B are constant, C is a parameter

A: We want to eliminate the arbitrary constants. 

Q: HOMEWORK 12: 1. Find the area of the largest circle which can be cut from a square of edge 5in. What...

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Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: Find the differential equation of the family of circles with fixed radius, r=a+b,and tangent to the ...

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of the given function. t q= tan Vi+2 dq dt

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Q: 6. e2x dx 3.

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Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative...

Q: 8. The differential equation (2x' -xy² -2y+3dx-(x'y+ 2x)dy =0 is exact because ON

A: Given:     Differential equation 2x3-xy2-2y+3dx-x2y+2xdy=0 The differential equation is exact if    ...

Q: 5. Exact Diffe re ntial Equation: x(3xy – 4y' +6}dx+(x' – 6x² y² -1dy =0

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Q: lim cos + 4

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Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

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Q: 3) Find the area and circumference of each circle. Round the answer to two decimal places. ( use n=3...

A: Given problem:-

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Q: 4. (a) Solve the initial value problems, dy = sin t + 1; yE)=; dt (b) Evaluate V1 – x² dx. |

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Q: (x - ky) dx +k(y-x)dy=0 where k 3t7

A: Given :(x-ky)dx+k(y-x)dy=0where k=7+3=10  

Q: 3. Separation of Variables: x(y+1)dx+ dy = 0

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Q: Solve the initial value problem: (y² – y³)dx + (1 + 4xy – 4xy²)dy = 0, y(÷) = 2.

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Q: Choose a number and apply the following operations to it. Multiply the number by 12, and subtract 8 ...

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