dy Find if dx y = u° + 3u and u 4x2 + 1. = %3D dy Preview dx Enter your answer as an expression. Be sure your variables match those ir

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: To evaluate the given limit.limx→∞ ex+13x1x  

Q: x3(75 − 14x4)5 dx

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Q: Solve the homogenous equation. 2. x*dy+(2.xy– y² kdx = Let the substitution v=: ²; y=x; dy=vdx+ xdv ...

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Q: y² (е2*) 3 Зу + х2

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Q: Given a function f (x) whose graph is shown below. 3 |h -3 2 -11 2 3 -2- -3 Determine lim f (x). x-1...

A: A graph of fx is given as shown below: We have to determine limx→1-fx

Q: (x² – 1 Given: f(x) = {2x – 1 if 0 5 3.

A: Topic = Functions

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: Let f(x)=2x2+12, and let   r(x)=sqrt(9x) for x>0. Find a simplified formula for the composite functi...

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Q: -1, and f'(4) g'(4) = 5. Suppose h(r) = (f(r) + VI) · g(r), f(4) = 3, g(4) : What is h'(4)? Express ...

A: Topic = Functions

Q: Suppose that f(x)dx = -11.1, f(r)dæ = -4.4, g(x)dr = -18.4, and o g(z)da = -4. Then what is f(x) + g...

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Q: Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.

Q: deteremine the solution of the following equations using the methods in solving for solutions of dif...

A: Differential equation problem   , v =  y/x   form 

Q: On the domain of (-27, 27), for which of the following values of x will sin x = csc x? Choose all an...

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Q: 27. y 2r(x + 2)² 29. y = x(r - 5)² 31. y = 4x(x + 5)* n= 27r - 2 26. y = x(x - 1)* 28. y = 3x'(x + 3...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x dydx=C1(e2x3(-sin3x)+2e2xcos3x)+C2(e2x3cos3...

Q: x'dy +(2xy – y* kdx =0 2. Let the substitution y =2 y = vx, dy=vdx+ xdv

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Q: 3. To find the width ofa river, a surveyor on one side of the river measures the angle to a tree on ...

A: Given problem To find the width of a river, a surveyor on one side of the river measures the angle t...

Q: (ve"cosy - 3)dx +N(x, y)dy = 0

A: Differential equation of form M(x,y)dx+N(x,y)dy=0 is said to be exact when it satisfies the conditio...

Q: 2. (бху? — хе"у + 2у)dy %3D у(еУ — 2у?)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is of the differ...

Q: ++dy=e' dy A True B False

A: topic - exponents and integration

Q: The functions f and g defined by F(x) =-2÷[|3x-9|] G(x)=x^2 + 9 -[ square root( x+4)÷8]-4 Respective...

A: Given:   To determine: The domains of both functions

Q: B: Evaluate the integral: TUTO (x + 1)-/2 (x – 1)5/2

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Q: 2. Use long division to divide P(x) 3x'+ 7x - 2x- 11 by the binomial (x-2). Express your answer in q...

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Q: (x) = x^2 +3x-4, which of the following represents the solution for the equation?

A: Topic:- algebra

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

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Q: -3 evaluate the integral (x2 – x + 2) dx using its definition.

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Q: Obtain the Taylor series expansion of the function f(x) = cot x centered at a 4

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Q: y'dx-(xy + y* \dy = 0 1. Let the substitution v=2; y = vx; dy=vdx+ xdv

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Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

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Q: Find the set of points satisfying the equation in the complex variable z: |z* + 2i| = |F(z – 3i)| wh...

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Q: Evaluate the given limits numerically and graphically:

A: Given that:                            4. limx→39x2-95. limx→3x-3x2-2x-36.limx→-1x-3x2-2x-3

Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

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Q: 1419857* -dx 4913*

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Q: 3. ydx – 2xdy = y°cosydy when y(1) = 0 %3D

A: Given          ydx-2xdy=y3 cos y dy        ydx-2xdy-y3cosydy=0 i.e.,  ydx-2x+y3cosydy=0      M=y,   ...

Q: What have you learned in evaluating integrals?

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Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

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Q: x(/x+y) +у) — 8 — ху

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Q: A circular swimming pool has a diameter of 8 meters. The sides are 4 meters high and the depth of th...

A: Using fluid concept

Q: Solve the homogenous equation. 1. y'dx-(xy+ y³ \dy = 0 Let the substitution y=²; y=vx; dy=vdx + xdv ...

A: Substitute v = yx and solve the given differential equation. Note : As per our Guidelines , we can s...

Q: 04 +C 3lne d0 = 2e (A) True B False 2.

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Q: zetch the region(s) enclosed by the given curves. Find the area oft y = r and y = VI 11

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Q: EVALUATE

A: ∫ x-3x-1+x2dx

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s + 0...

A: Given:- The stopping distance for an automobile (after applying the brakes) is approximately F(s) = ...

Q: Evaluate the definite integrals using the graph of f (x) below. 4- y 2- 2 10 12 -2- -6 (a) Number (b...

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Q: 1. y'dx- (xy + y² }dy = 0 Let the substitution y=2; y= vx; dy =vdx+ xdv %3=

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Let f(x) = 8- 4x + 3x. Calculate the following values: f(a) =| f(a + h) =| f(a + h) - f(a) %3D %3D f...

A: Topic = Functions

Q: The half-life of carbon-14 is 5730 years. A frozen human mummy was discovered in a glacier. It was e...

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Q: Clearly sketch in R3 the graphs of (a) y = z, (b) x = – 4.

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Q: Which of the following is not in the domain of cot(x)? Select all correct answers. Select all that a...

A: Note that:- Domain of cot(x) is R-{nπ , n∈Z}  Where is R is set of all real numbers and Z is set of ...