A) Let g(x)=x² (5x+24 (2x + 8 a) lim x-1 b) lim X-0 a) lim g(x), lim g(x) x--3 x-0 B) Find the following limits: x<-3 -3

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: (2xy - x + 2y - 1) dx + (4x²y² - x² + 4xy² - x) dy = 0

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Q: Evaluate the following limit using Taylor series. 3tan ¹x-3x+x³ 5 lim x-0

A: Follow the procedure given below.

Q: (a) Determine whether the series n=1 n+1 n³ +3 is convergent or divergent.

A: Solution: ∑n=1∞n+1n3+3

Q: -5 -4 -3 -2 -1 midline: y = amplitude: 7 period: -1 -4 q Determine the midline, amplitude and period…

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Q: Find a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5…

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Q: ∞ Determine whether the series (-1)"- n gent, or divergent. n=1 is absolutely convergent,…

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Q: the function, do the following. f(x) = 2x  from  a = 3  to  b = 4   (a) Approximate the area under…

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Q: 11) The inequality 3x-2 0 3x² - 9x x-2 d. <0

A: Given, 3x-2&lt;x+4x-2

Q: Please solve part d)

A: To determine the points on the curve y=tan-1x, where the slope of the tangent line is the curve…

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A: Concept: Bisection method: To determine the roots of a polynomial problem, utilize the bisection…

Q: Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or…

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Q: 3) y" + 4y' + 4y = 0.

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Q: Use the functions below to find the given value. f(x) = x - 2 g(x) = x² | = (1)(₁_ 6+ z_ d)

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Q: 18/17-16-15 2 2 1 -13-12-11-18-9-8-7-6 -5 -4 -3 -2 -2 + -2 $ 6 8 9 10 The curve above is the graph…

A: topic- trigonometric functions

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: 2) Express 100C50 as a sum of two terms from Pascal's triangle.

A: Let us find thatThe  100C50 as a sum of two terms from Pascal's triangle.we know that the formula of…

Q: Find the area bounded by the given curves. Use vertical strip x² = y - 1 and x = y - 3

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Q: Question 18 -6 -5 -4 -3 -2 -1 8+ (2) 7 65 4 32 My 1 -1 -2 -3 --4- ✓ to t 1 3 Find an equation for…

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Q: Find a function of the form y = C + A sin(kx) or y = C + Acos(kx) whose graph matches the function…

A: Solution :find a function of a formy=C+Asinkx…

Q: Find a unit normal vector to the surface at the given point. [Hint: normalize the gradient vector…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: t Let f(x) = 4x4 + 6. (a) Use the limit process to find the slope of the line tangent to the graph…

A: NOTE: Refresh your page if you can't see any equations. . the given value is x=4 the point on…

Q: The holes cut in a roof for vent pipes require elliptical templates. A formula for determining the…

A: We need to find length and width.

Q: Find f(x) if f" (x) = 2, f(0) = 1 and f(1) = 0.

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Q: 3 g-¹(x) = = (Write your inverse function in terms of the independent variable x.) Find the inverse…

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Q: Consider the following. u =(-4, 0, 2) v = (7, -7, 0) Find u x v. Determine if u x vis orthogonal to…

A: topic- vectors if dot product of two vectors is zero, then both are perpendicular to each other.

Q: A force of 660 newtons stretches a spring 3 meters. A mass of 55 kilograms is attached to the end of…

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Q: (c) Find a function f such that F = Vf where F(x, y, z) = yzi+xzj + (xy + 2z)k.

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Q: Evaluate fx² Arcsinxdx

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Q: Consider the following second-order differential equation. 3y" + 2y' + y = 0 Find all the roots of…

A: We have to find the general solution.

Q: Find the area bounded by y = x(x-1)^2, y = - 2 and the line x = A 10/3 = 2 B 5/3 C No of the options…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Topic = Differential equation

Q: (a) Area = ſ dx dy (b) Area = = [[ JJ dy dy dx

A: Follow the procedure given below.

Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00).…

A: Given: f1x=2+x, f2x=x, f3x=x2

Q: ((x)/)6 (1) (e) f(g(x)) ((7-))* (P)

A: Given;  f(x)=2x3 and g(x)=4x+5.

Q: Average Cost The total daily cost (in dollars) of producing a mountain bikes is given by C(x) =…

A: Given, C(x)=7000+4x+0.7x2

Q: -2y -2y (²²7) dx + e dy = 0 ex + x

A: Different ial eq is homogenous.

Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 40 and P =…

A: Given that    Three positive numbers x,y and z                The sum of these numbers is 40.…

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: We need to fill in the blanks.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

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Q: Using the circular disk method, find the volume of the solid generated by revolving about the…

A: Given curves , y=x ,                   (1)x=4.                       (2)

Q: Find the area between the curves. 6/5 y=x, y = 4x 1/5 ... The area between the curves is (Do not…

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=…

A: Given :Lx,y=32x2+y2-3x-6y-2xy+101

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Given general solution of the equation y=C1e-4x+C2e-2x

Q: elax upx dx

A: ∫1xlnx23dx

Q: Find the general solution of the given higher-order differential equation. y (4) - 2y" + y = 0 y(x)…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 8e* - 9 y(x) =

A: To find out the solution of the differential equation using the method of undetermined coefficients.