3n! 3n! Find lim State whether 2n=1 converges or diverges. n→∞ 4n!-1) 4n!-1

Q: 8. Find the slopes of the surface f (x, y) =1-(x-1)² -(y-2)² at the point (2,3,–1) in the…

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Q: clurs thal salisly 1. The unit vector in the same direction as (-3, –5) is

A: According to company rules.. I need to solve first question when multiple questions are posted

Q: 11. f(x)=3x -4x+2 at x 2

A: We have to  solve the ist question as per guideline Please repost other question again

Q: If x-0.78 and y 0.83, then value of Cin the antiderivative of F(X)= xsin-(x) is V1- x2

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Q: 5* = e*+4 %3D Round your answer to two decimal places. i

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Q: A factory produces bicycles at a rate of 100 + 0.3t – 0.9t bicycles per week (t in weeks). How many…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Find the intervals in which the function f(x)=2x* +8x -5 is concave up/concave down. Also, find the…

A: Given a function of x.

Q: A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the…

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Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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Q: Let C be the triangle with vertices at (0,0), (1,0), and (1,1) oriented counterclockwise. The vector…

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Q: 29. Solve (x3 + y³)dy+ x²y dx = 0. %3|

A: Given problem:- Solve (x3+y3) dy +x2 y dx=0

Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x = 0.106 and y =…

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Q: Let F(x) = f(x) + g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“. Determine the value…

A: Given problem:- Let F(x) = f(x) + g(x)ex + h(x)e2x + C be the antiderivative of G(x) = (x + ex )2…

Q: Find all asymptotes of the curve x2 + 3xy + 2y2 + 3x – 2y + 1 = 0 ?

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Q: Use logarithmic differentiation to find the derivative of the function. y = x4 cos(x) y' = || %3D

A: y = x4cosx take both side natural log lny = 4cosx(lnx) now differentiate with respect to x (y')/y =…

Q: The coefficient of Sin(x) in the antiderivative of F(X)=

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Q: Ex filnd divergenceof f when yj at (o1). 2 e ( + 9 J

A: See the answer below

Q: Evaluate the integral over the rectangle R: (a) |/ ev dA, 0 < ¤ < In 2, 0 < y < In 2 R (b) dA, 0 < x…

A: As we know that; The Power rule; ∫xndx=xn+1n+1+C ; n≠-1 And ∫eax+bdx=1aeax+b+C   (a). Given:…

Q: 2. Find the volume of the parallelepiped having a = (1,4,–7), b = (2,–1,4) and c = (0,-9,18) as…

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Q: You are designing a dome house in the shape of a hemisphere with a 60.0 ft outside diameter. (Round…

A: Note: According to policy of our company we will solve the first 3 sun questions. If you need the…

Q: HwE valuete xg JA ,Rvis ,enclosed between y= JA , R xis 8 Xig=/X 2 » X= 2 and X= 49 11 12 し

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Q: 5. What limit law best applies to the problem lim x = C. Limit of a product D. Limit of a quotient…

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Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = e5x + e-* (a) Find the…

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Q: show

A: We will find the value of c.

Q: Q3. Determine the number c that satisfies the Mean Value Theorem for Integral of the function f(x) =…

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Q: Find the angle e between the vectors in radians and in degrees u = cos()i + sin()i, v = cos( )i +…

A: Answer as follows

Q: Use Forward and Backward differentiation to calculate f' (1) as accurately as you can. Let h = 0.08…

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Q: a). Determine whether the Mean Value Theorem applie b). If so, find the point(s) that are guaranteed…

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Q: 6. The coefficient of Sin(x) in the antiderivative of F(x)=| co is Blank 1 (use fraction form not…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 18) 3 v = 6 O parallel O…

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Q: Given the differential equation, confirm that the function y(t) is a solution to that equation: 1.…

A: We have to find if the given y(t) is solution to the differential equation or not.   According to…

Q: 1 dx 2 Jo (x-1)²

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Q: 3. Find the projection of u = (2,1,2) onto v = (0,3,4) and the vector component of u orthogonal to…

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Q: n Sn = En-0 8 (-) 4.

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Q: Use the unit circle, reflection, and symmetry to determine the angle 0 that corresponds to the given…

A: Solve the following

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: Given problem:- Find sets of parametric equations and symmetric equations of the line that passes…

Q: 0.1 at c 5, use linear approximation to estimate Ay Let y 2x + 8x + 4. If Ar Ay =

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Q: Evaluate: Jx?cos(2x)dx

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Q: Using the simplex method solve the linear programming problem. maximize z= 8x1 + 10x2 + 7x3…

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Q: Suppose that f(2) = -5, g(2) = 3, f '(2) = -2, and g'(2) = 4. Find h'(2). (a) h(x) = 4f(x) – 3g(x)…

A: As per our guidelines we are solve only first question you can repost other questions in next…

Q: 1 7. y = \x sin x,

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Q: The population P(t) of a bacteria culture is given by P(t)=-1,500t2+60,000t+10,000, where t is the…

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Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos°(x) for x = 0.701 and y =…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative 10. y = -3 cot 2x, 2nd derivative

A: Question 8,Given,            y=-5e3x2To find : Determine the 2nd derivative of the given function.

Q: • Sl-+2u* + uP)du No appropriate Match Question 6 o S(-uP-2u7 - P)au Match the integral expression…

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Q: Please show complete solution in a PAPER

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

A: We will use substitution for integration.

Q: Find the centroid of the region bounded by the given curves: y = 1 + 2x2 ; y = 3 ; x = 0

A: To find the centroid of the region bounded by curves: y=1+2x2,y=3,x=0 The bounded region is: