someone help me out, may you also write the work and answer legibly or type it out if possible please ?please HIGHLIGHT

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) 1 and f(0) = -3 x-1 3. lim f(x) = –2, 4. lim f(x) = +∞, x-2...

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Q: around the -axis.

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Q: With mean u = 1,500, find the probability that both of the lamp's bulbs fail within 1,200 hours. (Ro...

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Q: ;) I P(2,-2小),Q(3,-1,2) Q3) Q(3,-,2) and R( 3,-1,1) a) find the area of the triangle determined by t...

A: Given:   P(2, -2, 1) Q(3, -1, 1) R(3, -1, 1)

Q: Consider the following function. S4x + 1, x s 1 f(x) 16 – x², x > 1 %3D

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

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Q: x2 + 1 dx (x – 6)(x – 5)2 |

A: To solve the integration of the integrand (x2+1)/(x-6)(x-5)2 , we use partial fraction form. 

Q: What is the coefficient of the term contaning the variable h when f(x +h) – f(x) is performed, and i...

A: Here we have to determine the coefficient of the term containing the variable h when f(x+h)-f(x)h is...

Q: QUESTION 1 Suppose that z depends on variables r, s. and , andr, s, and I each depend on a variable ...

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Q: 11. Consider the equation x + y +e# = e dy using implicit differentiation. dx (a) Find (b) Find the ...

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Q: Determine the power series expansion (in sigma notation) of the function f (x) = sin a at a = 0 Σ (-...

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Q: 3x²-2x+1) **1) dx x+2

A: Topic:- integration

Q: Hw Fin ow and dw for the fallowing functions e 2- X+リ

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

Q: Find the arclength of y 2x +1 on 0 < x < 2

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Q: Find the arc length of the graph of the function over the indicated interval. 3/2 y : x² !!

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Q: 4-What response would you give to a classmate who makes the statement, "I don't need to learn the pr...

A: We have to explain why product rule is important.

Q: 27. y (2, 12) 3

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: (1+cot 0) de 5. sin e4 - cote

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Q: x + 49 dx

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Q: 1. y 2x + 4x at point (-2,0)

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Q: Find the equation of the plane through P(2, – 1,1) that is parallel to Il: 2x + 3y + z – 12 = 0. %3D

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Q: If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at whic...

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Q: The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of...

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Q: glo) (a) A type of power series in a form, E n! n (x – a)" Bessel Series O Harmonic Series Maclaurin...

A: This question is about finding the name of series by looking at formula. 

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: Topic -Integration 

Q: b) fx*/25x² – 4cx -4dx

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Q: How is the graph of y = (x+ 4)2-5 transformed from the graph of y = x2? Choose the correct answer be...

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Q: f(cos*x- sin *xkx *a

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

Q: Determine whether the sequence converges or diverges. If it converges, find its limit {2-(4/n)} Th...

A: See the details solution in below

Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P...

A: Given that:- Boyle's Law states that when a sample of gas is compressed at a constant temperature, t...

Q: • Error and Q Functions 1, Use the definition of error functivn, prove that

A: We want to solve the given problem.

Q: Q2) if the vechrs V=-i +5 and ū=Tz i+5J+2 R Find a) The scalev component of ū in the divection of V ...

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Q: Find the volume of the solid generated by revolving the region bounded by y = 1 -x 2 and the x-axis ...

A: we know that formula for volume of revoution about x-axis is Volume=π∫abf2(x) dxf(x) =1-x2(a,b) = (-...

Q: Given the general solution to a differential equation and its initial conditions y(t) = C,14 + C,-2 ...

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Q: Determine the area of the region bounded by x = –y² + 10 and x = (y – 2)².

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Q: Find the derivative as indicated. 1. y = 3 cos x + 2 sin x ; find y' 2. f (t) = t sin t ; find f' (3...

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Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the lad...

A: The objective is to find the distance of the base of the ladder from the side of the house.

Q: -. .- --- .... ...

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Q: 12 २ (४) = dt | २स Prove !- \) ২-০০) = २(-०० ) 3D \

A: Given that Qx=12π∫x∞e-t22dtTo prove:1. Q-∞=12. Q-x=1-QxSolution:we know that ∫-∞∞e-x2dx=π       ... ...

Q: Identify the point (xo, yo) on the line 7x – 12y = 10 that is closest to the origin. (Give your answ...

A: Identify the point (x0,y0) on the line 7x-12y=10 that is closet to the origin. 

Q: A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemisphere attache...

A: Question 5   A solid E is made up of a cylinder, with radius 3 units and height 4 units, and a hemis...

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: 5. Calculate the derivative of f(x) = Use this result to determine whether the sequence x2 + 1 n An ...

A: Topic  - function and derivative 

Q: dz and du ze at (u,v) = (36,4), u Let z=f(x,y), where x=u + v and y=. Find V dv given that : fy (36 ...

A: z=f(x,y), where x=u2+v2 and y=uv

Q: Marvin won a $200 gift certificate from a local car wash. Every time he gets a car wash, it costs hi...

A: Given:   Won = 200     Cost = 8.95

Q: 2. Find the absolute maximum value and the absolute minimum value of the function 3 f(r) = 5 – x2 on...

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Q: cate whether lim f (x) and f(c) are equal or unequal at th ate whether lim f (x) or f(c) does not ex...

A: In this question we will use basic concepts of calculus i.e concept of limits. Solution of the above...

Q: Using variable separable technique, find the general solution of dy/dx = (1+y^2)/(1+x^2

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Q: Plot the point: (r, theta) = (8,30) The angle is given in degrees. Clear All Draw: Dot

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