Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

Q: Activity 3. "Let's be connected with each other" Directions: Compute f'(3) for each of the following...

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Q: Find the general solution. x²y²(xdy+ydx)= 8y³dy a. O a. x°y³+6y4=c а. O b. *+c x²y² = 6y Ob. Ос. x³y...

A: x2y2ydx+xdy=8y3dy

Q: 2 Separation of Variables: x(y+1)dx + dy = 0 %3D

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Q: cm/ min when the height is / m. The height is changing at a rate of (Type an exact answer, usingn as...

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Q: The differential equation (3ycosx+ 4xe* + 2x²e* ]dx + 3(sin x + 1 )dy = 0 is exact because ƏM ƏN

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Q: d'y 2. The degree of the differential equation 5x dx +5y = 0 is dx

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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...

Q: Q(4) Find a seel general soluchion of + 16 = 0

A: see below the answer and explanation

Q: da Evaluate x² V4

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Q: find all of the critical points and local maximums and minimums of each function. (c) f(x) = 1+ x4 '

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

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Q: Find fræ, fry and fuy for the function f(x, y) = (1+x + y)e*y Select one: O a. None of these O b. fr...

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

A: Differential equation  Separation of variables

Q: Solve the differential equation (D3 + 7D2 + 19D + 13)y = 0 When x=0, y=0, y'=2, y"=-12, find y ()

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Q: The given function s(t) = 5t³ – 3t2 + 10t – 25 - represent the position of a particle traveling alon...

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Q: The annual world consumption of silver is predicted to be 22.3e0.0ir since 2014. Find a formula for ...

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Q: Homogeneous Diffe rential Equation: (x² + 2xy – 4y² kdx (x² –8&.xy – 4y° kty = 0 %3D Use the substit...

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Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: 1 3 4 -2 3. 2. 3. 3.

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Q: e - a) + ? = α a²

A: See the details solution in below

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

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

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Q: 9. The differential equation (3y cosx+4xe" + 2x'e' dx + 3(sin x +1)dy=0 is exact because aN

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Q: y = 7x2, y = x2 + 3 %3D

A: Follow the procedure given below.

Q: Find the interval of convergence of E27" (x – 1)3n+2 n=0 (Use symbolic notation and fractions where ...

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

A: Function continuity and differentiation  Drichlet conditions 

Q: Use the Root Test to prove that the series e2n is convergent. n" n=1

A: If limn→∞|an|1n=L, and:  If L<1, then ∑an converges  If L>1, then ∑an diverges  If L=1, then t...

Q: D^(3+1) (D-2)^(7+1) y = 48e^2x

A: Put D=m then solve it. 

Q: 4-ху Find lim (x,y)¬(2,1) x²+3y2 if it exists, or show that the limit does not exist.

A:    limx, y→2, 14-xyx2+3y2Plug in the value x, y=2, 1=4-2· 122+3· 12=27

Q: (x* – 3e*+ Se²)

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Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 + 9...

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph off passes through ...

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Q: The functions f, g, and h are defined as follows. 4+x? f(x) = 5 + /x+6 g (x) = x+7 h (x) = Find f(-2...

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Q: QUESTION: The second derivative represents the rate of change of the first derivative. Select one: T...

A: Given :   The second derivative represent the rate of change of 1st derivative ?

Q: An open box is to be made out of a 9-inch by 19-inch piece of cardboard by cutting out squares of eq...

A: Given: The dimensions of the piece of the cardboard is 9-inch by 19-inch. An open box is made out of...

Q: Implicit differentiation x^3+4x+y^2-3y+1=0

A: x3+4x+y2-3y+1=0

Q: Without a table of values and without graphing f(x), give the values of the following limits. lim 3x...

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Q: Note: If the f(a) and lim f(x) does not exist write DNE. 1. lim f(x) = a-2 2. f(-5) = 3. lim f(x) = ...

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Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(5) + log,(@) ...

A: Here, the given equation is: log4(5)+log4(a) Note that: logpx+logpy=logp(xy)...(1)

Q: Integrate the following: 1. Integration by parts: 2 5 ex d x 3

A: Use formula of integration by parts.

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to x - 2x + 36x – 3x + 4)...

A: We have to find the value of n. 

Q: 4 (41² + 3)² dt cos t dt 1 + sin t sec x tan х dx sec x – 1 -

A:  we have to integrate the given integration 

Q: •2 .5 dx

A: As per the guidelines we are supposed to answer only one question at once. Kindly repost the remaini...

Q: 5. Find by implicit differentiation for x + y = xy. dx

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Q: u = 3 + x² V3+ x²

A: We can find the integral as below using substitution method

Q: 2. Integration by trigonometric integrals/substitution: (4 – 3 cos (x)) sin°(x) dx

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Q: The function S(x.y)= (2x* + y^ )exp[ y + xy' is homogenous in x and y of degree 2x

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Q: Homogeneous Diffe rential Equation: (r +2xy -4y² ktx-(x² -8xy – 4y² /dy = 0 Use the substitution x=2...

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Q: 9. lim e 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim x+00 1 13. lim COS X 14. lim e -3x+4 4x+7 1...

A: These questions are related to limits, we will solve them using given information. 

Q: mpQ -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 slope Previous

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