(x-2)" En=0 n2+1 n3D0

Q: Solve the D.E dy – (2x/1- y2)dx = 0

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Q: Question r Use the Second Derivative Test to find the location of all local extrema in the interval…

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Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 y : dx x2 + x – 2

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Q: Simplify completely 4 Int dt using FTC-1. da e3z

A: This question can be solved using the concept of Fundamental Theorem of Calculus Part 1.

Q: 2. Use a parametrization to express the area of the given surface as a double integral and then…

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Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

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Q: Find f"(1) if Ax) = X+1. %3D 1 1 1/4 12 OOO

A: To find f'1 if fx=xx+1.

Q: / sin*0 d0, factor sin*0 as (sin²o)² sin® and let sin²0 = -(1– cos20). To evaluate A True False

A: Given problem:-

Q: Determine if the given series is convergent or divergent. 3" en – 2" n=1 2.

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A: Here, the volume formula is given by: V=∫012πy(g(y))dy=2π∫01y13y-13y2dy

Q: Which number sentence correctly compares two numbers? 24 A forty-six thousand three hundred fifteen…

A: Explanation of the answer is as follows

Q: Find an equation of the plane through (-7, 2, –6) that is perpendicular to the planes 4x – y + z = 4…

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Q: Find the Maclaurin series of the function. f(x) = 9 cos 2TX 2 (Type an expression using n and x as…

A: We know that the Maclaurin series of the function f(x) is given by f(x) = f(0) + f'(0)1!x +…

Q: Cha invests Php5,000 in an investment that earns 6% per annum. How many complete years does it take…

A: Given Cha invested(P)= Php5,000Rate of interest (R)=0.06Time (t)=?Amount (A)=Php 10,000We know that…

Q: 5. In antidifferentiation, the formula f x" dx = (n+1) + Cis valid if? A. nER 6. In item number 5,…

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Q: х2 — бх + 9 dx V6x – x2

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Q: rln 2 e2" sec-'(e²)dx 0.

A: Answer is in below steps.

Q: X+ 1 Evaluate lim x→1* ** - 5x +4• | O-1 OO OO

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Q: Find each of the following indefinite integrals.  c. Z (r+2)^2/r^3 dr

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Q: : / yº sech(e™mv) tanh (» ) dy 7lny Evaluate: @ -ch(7) + C None

A: Given problem:- ∫ y6 sech(e7ln(y)) tanh(e7ln(y)) dy

Q: Evaluate fs 2°ds O a. 2*(sln2 - 1) (In2)2 O b. 2(słn2 - 1) (In2)2 O C. 25 - 1) In2 O d. 2° (+ 1) +1)…

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Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of ¡ does the curve has…

A: The given parametric equation is x=3+5t, y=1+3t The curve length is 34 Let the value of t is t1 to…

Q: 24. y' + y = -x/y

A: We have to find the solution of the given differential equation.   According to our guidelines we…

Q: Evaluate the following limit: x² + x- 2 lim- x-1x2- 2x + 1 If it does not exist enter DNE. Round to…

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Q: 8. (5x'-4x +8x) dx

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: given below, evaluate lim f(x) and lim x→-00 f(x) = -4x² + 2x +4 sin (9x) ses without bound, you…

A: We have to find the following conditions according to the given information

Q: Consider the tollowing Maclaurin series: (-1)"x2n (2n)! COS X = for all x e R. n=0 1. Let f(x) =…

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Q: Differentiate the following function and factor fully. g(x) = (2x – 1)*(2 – 3x)“ |

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Q: el-vidx

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Q: Consider the following function and dosed interval. fx) = x2/3 - 1, [-27, 27] Is f continuous on the…

A: F(x) is not differentiable on (-27, 27)

Q: Q3) Evaluate triple integral dz dx dy.

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Q: For the series below. (a) find the series' radlus and interval of convergence. For what values of x…

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Q: Find the value of Oa 43 Ob.53 Oc 23 Od 13

A: Given: I=∫0∞e-3tdt   As we know that; ∫eax+bdx=1aeax+b+C

Q: 2. Evaluatef dx. A. x+ C В. х C. -x + C : Antidifferentiation D.-x 3. Addition: Subtraction as A.…

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Q: sinh4x cosh 4x dx can best be evaluated by General Power Formula. A True False

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Q: Q2) Solve the D.E xdy + (2y – x4 + 3x)dx = 0

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Q: 4. .2 + 2x) cos(2x) dx

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Q: 1. Water is being poured at the rate of 2 n m³/min. into an inverted conical tank that is 12-meter…

A: The water is leaking at the rate of π/2 m³/min.

Q: We are told that the sand is falling onto the pile at rate of 9 cubic feet per minute. We want to…

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Q: If 42 | f(x)dr = 10 %3D 59 and 42 | 9(z)dr = 30 59 and 42 |. h(x)dx = 32 59 what does the following…

A: Use additive property of integral

Q: Obtain the general solution unless otherwise instructed A. LINEAR EQUATIONS WITH CONSTANT…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Find the surface area of the cone z = x² + y2 that lies between the plane y = x and the cylinder y =…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y…

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Q: 4. Find the Laurent series of the following function : f (z) = (z + 1)(z + 3) 1 region 2 < |z – 1| <…

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Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

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Q: 4. S cot?x dx

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Q: Consider a continuous function f(x). The function has critical points at x = -7, x = -2, and x = 7.…

A: f(x) has critical points at x=-7 , -2 , 7Since f''(-7), f''(-2) is positive ⇒There is local minimum…

Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y V9x² + 16

A: The given integral is y=∫dx9x2+16 We have to solve the integral using Trigonometric substitutions…

Q: 1 Let f(x)= J. dt. Find the derivative f(x). -dt. t4 +5 e2x none of the choices

A: Use the concept of derivative of an antiderivative and simplify.