Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. 1- x + In(x) lim x+1 1 + cos(7nx)

Q: ate the integral. (If the quantit 8. dx (x2 + 4)2

A: The given integral,                ∫-∞∞xx2+42dx

Q: he circle is tangent to the y-axis and the center is at (-2,-8).

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Q: 15? - 17 What is the exact value of sin (cos-le) where e = Provide your answer below:

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Q: Evaluate lim Vx-2 x→4 _Vx3_8

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Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: calculus class

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Q: Do not skip any steps Find the numerical value of both expressions. Give the exact value and do not ...

A: QUESTION-  Find the numerical value of both expressions. Give the exact value and do not use a calcu...

Q: Cost OF REMOVING Toxic WASTE A city's main well was recently found to be contaminated with trichloro...

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Q: 4 sin“ x cos° x dx

A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

Q: V4-3x, if xs-4 g(x) = 16 げx>-4 a) lim g(x) = b) lim g(x) = c) lim g(x) =, x-4 x-4 x-4*

A: We are asked to find  limit of the function.

Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20. Eval...

A: We have to evaluate the given Integral.

Q: TLER stic Find the equation of the plane through the origin and the points (3,–2,1) and 1,1,1).

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Q: 3x4 – 4x3 – 12x² + 18 f(x, y) = 12(1+ 4y²)

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Q: 1. Use the graph of the function f (1) below to answer the following questions: a) For what values o...

A: In this question we have to find the rate of change from the given function.

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of c...

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Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: The points on the surface x2−2y2−3z2 = 33 at which the tangent plane is parallel to the 8x+4y+6z=5 p...

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Q: dx Evaluate | x² + 2x +5 [(x+1)/] a. arctan +C arctan +C 4 [(x+1), |(x+1), с. arctan -C d. arctan +C

A: Let I is the value of given indefinite Integration.

Q: Find DE using variable separable cos/dx + 1/ydy=0

A: Given that: cosxdx+1ydy=0

Q: Evaluate the limit. lim x+0+

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Q: Question Select your answer. if a 4 1 4 16 does not exist 2.

A: Given f(x)=1xif x<4,x2, if x≥4that is if domain of the function less than 4 then function is 1xIf...

Q: Find constants c1 and c2 such that: G(x) = c1xe^−x + c2e^−x is an antiderivative of g(x) = 3xe^−x. ...

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Q: If y = x' - 3x' + 1 +8x– 10, find y5) 13. x2 -5 a. - 24x5 b. 720x3 -7 120x d. - 720x-7 с.

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Q: The solution of a certain differential equation is of the form y(t) = aet + bet, where a and b are c...

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Q: State the type of the quadratic surface: (중)" + (분)2 + (종), =1 1. Ellipsoid 2. Hyperboloid of one sh...

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Q: 3+6 b. (2xy-sin x) dx + (x-Cos yldy

A: Topic:- solution of differential equations

Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8...

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Q: 1. Let v = PQ where P = (3,4,0) and Q = (2, 3, 1) Find a vector u that is parallel to V but with a l...

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Q: FIND THE AREA BOUNDED BY THE WRVE ay THE x-AXIS AND THE UNE X- 2a.

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Q: 4) lim Vx + 2 DNE x--2- 5) lim f(x) DNE, given that f(x) = {*+1 if x<2 (x-4)2+3 if x22 x-2

A: Topic:- limit Calculus

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x2 ...

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Q: dy (3x+4x (2x – 1)° , find the dx Let y =

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Q: Determine the definite integral 3 sin* 0 cos³ 0 d0

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Q: The graph of a feasible region is shown above. If the objective function is C = 3x + 4y, Ca) its max...

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Q: its xn-yn instead of xn+yn

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Q: Consider the following. y = f(x) 4 8 (a) By reading values from the given graph of f, use five recta...

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Q: Find the limit. Enter DNE if the limit does not exist. lim (z,y) → (0,0) ² + 15y²

A: Here we will solve the given limit,

Q: Evaluate dx dy in y=cosh(in e") b. 3x sinh (In x') 3x² sinh(In e* ) d. 3x sinh (3x² ) с. a. 3x sinh(...

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Q: e*+y = e2r-y %3| C = e? C = -e? Option 4 Option 3 1 2 None of the choices Option 2

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Q: lim(4x – 3) = 5 x→2

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Q: sin 2.xdx Vsin? x- 3 Evaluate: а. 2Vsin? x -3+С b. sin? x-3+C +C d. Vsin? x-3+C с. Jsin? x-3

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Q: The differential equation x(3xy – 4y +6)tx+(x³ – 6x²y² -1]dy =0 is exact because ам ƏN D.4. ây

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

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9,where 0 <x< 4

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Q: Evaluate if y = x² sinx + 3x*tanx dx a. 2xcosx + 12x3sec²x b. x?cosx + 2xsinx + 3x*sec2x+ 12x³tanx c...

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Q: dy Find dx if y = cos e*

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Q: Determine the range to the function f(x.y)=xtX.if the domain is given by the inequality 2x²+y²s4

A: