Use Newton's method and find an approximation for the root of the following function accurate to within 10-2: f(x) = 3x2 – e* Po = 1 %3D -

Q: Use the Integral Test to determine the convergence or divergence of the following series, or state t...

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Q: Use the definition of improper integrals to define dx Use your definition in 1. to show that the imp...

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Q: (3х-5) 9. lim x--1+ x+1

A: This is a question of limit of the function. First we will try to convert this function into most si...

Q: y Sales of Version 4.0 of a computer software package start out high and decrease exponentially. At ...

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Q: -4 -4 At the point shown on the function above, which of the following is true? Of' 0 O f' > 0, f''...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Solve the following differential equation. Finalize answer free of fractions and equated to y^n. 1. ...

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Q: Find the area of the region enclosed by the curves  f (x)  =  4x + 15 and g(x)  =  2x + 33, and the ...

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Q: ,3lnx +2x4 "dx A) 3lnx 2x4 x3 D 3lnx+ 2x4 E None

A: Using substitution method.

Q: Create an inverse variation problem, determine the equation, and graph it on a coordinate plane. Wri...

A: Please see the below picture for detailed solution. 

Q: Determne whether the hamit exitis or not when a)x3 and b) x→ -3 x²-9 when x< -3 F(x)= 9-x² when -3< ...

A: Limit exists if, LHL = RHL Limit does not exist if, LHL≠RHL

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. (Hint: if you calculate using decimals...

A: The integral is  ∫13 9x2dx

Q: Find the directional derivative of the function at P in the direction of v. f(x,y,z) = x²+y²+z² P(1,...

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Q: Suppose f'(x) is continuous over an interval a < a < b, and a <c <d < b. If f'(c) = 9, then (check a...

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Q: the gradient to find the directional derivatve of the function direction of Q. 8. f(x,y) = e' sin x ...

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Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/2 1 ...

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Q: 2 2 Calculate the length of the astroid of x +y = 5. s =

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Q: Find the derivative by use of definition y = 3x / sqrt 2x + 1 Please answer asap

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Q: Write an equation for the line parallel to y : – 3x + 3 and passing through the point (4,-16) y =

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Q: -5 1 -2 0 3 4 12 -1 3 B| Find AB for : A = |1 B = 5 4

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Q: dx 1+ x2/3

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Q: 1 4lnr Evaluate: | (A +C - 2(r5 – 3) +C 2(,5 – 3) 2 +C 15 4lnr 4

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Q: Given the General Solution y = ke-0.08x2 Find the value of "k" given the condition (-3, 580). A) k =...

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Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: (a) Find the number of distinguishable permutations of the letters MISSISSIPPI. (b) In how many of t...

A: topic - permutations

Q: 'd = eAt kdt A True B B False

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, where q is the ...

A: The demand function is: D(q)=-1.55q+300 where q is the quantity of items in demand and D(q) is the p...

Q: Use f(x) = 5x - 3 and g(x) = 2 - x2 to evaluate the expression. (a) (ro g)(x) (b) (g o n(x)

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Q: dy if tan (xy + y) = dx = x. %3D Use implicit differentiation to find dy dx

A: We know,  d/dx (tann x) = ntann-1 x.sec2x d/dx(y2) =2ydy/dx by Implicit Differentiation. 

Q: Suppose Bilbo Baggins is deciding on whether to buy a sword or a bag of golden cups. If he has a uti...

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Q: Question 57 A scientific sample of radium-2 decayed to 81% of its original amount after 2 years pass...

A: I am attaching image so that you understand each and every step.

Q: A firm hires 3t% workers each year but loses 5% each year due to retirement and poaching from compet...

A: topic - differential equation

Q: (x² + y²)dx – xydy = 0 %3D -

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Q: Evaluate: dt A 4e*+C B +C +C 4 C D pert +C 4 E None

A: Topic:- integration

Q: 4" – 3" 00 Determine whether the series converges or diverges. If it converges, find its sum. n= 0

A: Solution: ∑n=0∞4n-3n5n Apply series ratio test an+1an=4n+1-3n+15n+14n-3n5n

Q: Find the values of x for which the given geometric series converges. Also, find the sum of the serie...

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Q: Given the differential equation dy 10 + 15y = 5x dx Find the values for Q and u. Q = 2 A Q = -x В 3 ...

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Q: Detemine the x-values at whìch, 9水)= 2xー 3xー+X メt,xE - スxナラメー3x underined. Evaluate the linit ac xap...

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Q: Compute T2(x) at x = 1 for y = e" and use a calculator to compute the error |eª – T2(x)| at x = -1.5...

A: Find your answer below 

Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x= a is called...

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Q: B-1 0ンエ a (( F-C)P) 3- Beta= (i-ベ) Calpha %3D Solve for P2

A: Explanation of the answer is as follows

Q: 2sin(e²^) cos(e²") dx, we let u=e2 To evaluate A) True B) False

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Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y? + z...

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Q: et kdt k A True B) False

A: First we solve L.H.S then solve R.H.S . We use the formula integration of eat=eat/a

Q: Given the differential equation ap - 2y = 15 dx Find the General Solution to the Differential Equati...

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Q: Evaluate the integral and find a + ß+p-o (1+ tan x)dx cos? xV5 – 3 tan2 x va Sa 1 arcsin 1 tan x) + ...

A: Given

Q: S sinrdr In(cosr – 3) ° cosr -3

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Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Q: Below is the function f(x). 7+ -7 -6 -5 -4 -3 -2 1 4 -4 -5 -6 Over which interval of æ values is f' ...

A: This question is based on derivative application of function.

Q: Estimate the area of the curve y= from r = 0 to r = 3 by using 6 rectangles and right end-points, R6...

A: area and right end sum

Q: I'm

A: