Question For the function f(x) given below, evaluate lim f(x) X18 and lim f(x). 8118 f(x) = 1 − 2x² + x² Provide your answer below: lim f(x) = x →∞ lim_ƒ(x) = X→→

Q: Which of the (i) F(x, y) = (10xy+6) i + (9xy+8) j (ii) F(x, y) = (9ye⁹x + cos 6y)i + (x + 6x sin 6y)…

A: We can find whether the field is conservative .

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Q: If √x + √ÿ = 12 and y(1) = 121, find y'(1) by implicit differentiation.

A: Given : y(1) = 121 which means for x = 1 , y = 121

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A: Given query is to find the equation of the graph.

Q: 2) Suppose that f(x) = 5x² over the interval [1, 2]. Let Ax = 1/n. Let x₁=1+iAx. Find the limit of…

A: Given: fx=5-x2.Formula to be used: ∑i=1ni=nn+12 ; ∑i=1ni2=nn+12n+16

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

Q: 5. Solve as a linear first-order differential equation: y - 2y = x² +5

A: Solution of linear differential equation y'+P(x)y=Q(x) is given by y×IF=∫(Q×IF) dx+C, where IF=e∫Pdx

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A: Given: fx=x4+7x3-6x2+84x-216 To find the zeros of the f(x) We can see that f(2)=0, it means 2 is a…

Q: Evaluate the following sum of iterated double integrals: 2y 1.² 1th ²² e4x-x² 4-2y dx dy + + ₁² ²²…

A: To find:- ∫01∫02ye4x-x2dxdy+∫12∫04-2ye4x-x2dxdy

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Q: To which of the given expressions is In (15 x) equivalent?

A: formula used is   lna.b=lna+lnb

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A: We have to find the solution of the system whose augmented matrix is 102110101212001101022132

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Q: 2. Determine the form of a particular solution to each of the following differential equations: (a)…

A: Formulas used: For f(x)=eax , f(x)=sinax ,f(x)=cosax f(x)=eax P.I=1f(D)f(x)=1f(D)eax......eax1f(a) ;…

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A: need to write down the given information as a function.

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A: Given query is to find indicated derivative.

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series 1 1 1 ਲੋਕ · + √3+√4 1 +7

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Q: Find the derivative of the function f(x) df dx = = 5 ln(x) + e5x

A: In this question, we want to find the derivative of the given function.

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Q: Research at least two (2) other methods of solving simultaneous equation with three (3) variables…

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Q: Solve for x: = x² 19 = x Round your answer to 10 decimal places. ¤~ Newton's Calculator: (Note:…

A: Let's find root by using Newtown method.

Q: If the integral ∫4−4∫√16−y2−√16−y2∫√16−x2−y2−√16−x2−y2(x2+y2+z2)dzdxdy was converted into an…

A: To convert in spherical coordinates.

Q: (b) Use the gradient to find the directional derivative Du f(x, y) of f(x, y) = 4xy + 3y² at P = (2,…

A: Given: fx,y=4xy+3y2 We know that the gradient is just the vector of partial derivatives.

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: ue, find lim f(x). 8118 red vertical dashed line is the vertical asymptot (x). You may pan and zoom…

A: Given query is to find indicated limit.

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Q: Find the inverse Laplace transform f(t) of the function_F(s) = ln s² +9 s² + 16

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Q: (4) Suppose z = f(x, y) where f is differentiable (both f, and fy exist). In addition, suppose =…

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Q: TOUT Mark. || Problem #5: Find the work done by the force F = -7yi+ 8xj along one loop of the curve…

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Q: Question number 23 please

A: We have to find the local extrema.

Q: Find all complementary functions of the equation y" -6y' +9y=0. a. cos3x,sin3x b. e-3x.e³x C. e-3x…

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Q: 425 Consider a function f(x). The function has critical points at -- 5'3'7' and 2. The table below…

A: Given query is to find the the interval where f(x) is increasing.

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A: Topic:- geometry    Note :- as per our guideline if more than one question uploaded than only first…

Q: Let f(x) = x 4". Use logarithmic differentiation to determine the derivative. ƒ'(x) = = ƒ'(1) =

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Q: 18x + 54. 6x² - 12x - 18 a. Find the first derivative. f'(x) = b. List any critical values. -1,3 c.…

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