1. Estimate y(1.4) with a step size h = 0.2. Answer: y(1.4)~ 2. Estimate y(1.4) with a step size h = 0.1. Answer: y(1.4)~ y = x - xy, y(1) = 0.

Q: Find x. Round your answer to the nearest tenth of a degree. 11 4 x = []。

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Q: Evaluate the integral R --²dA where R is the region bounded by the semicircle z = √4-y² and the axis…

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Q: Evaluate the following integral

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Q: Find the critical numbers of the function. h(t) = 3/4 - 2¹/4

A: Topic = Derivative

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Q: d) Compute the angle in Degrees between 3 and 4

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Q: x² 421875 For the given cost function C(x) = 54√√x + a) The cost at the production level 1700 b) The…

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A: Use rate of change concept

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A: Let fx,y,z=2x2+3y2+z2-9 Gradient vector ∇fx,y,z=fxx,y,z,fyx,y,z,fzx,y,z

Q: 7x – 4x − X

A: Topic = Integration

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Q: Find the general solution to 3y''+xy'+y=0 in the form of a power series around the ordinary point…

A: Note: this x0=0 is an ordinary solution. Let us assume that:y=∑n=0∞Cn(x-0)n…

Q: Suppose that you can calculate the derivative of a function using the formula f′(x)=4f(x)+5x. If the…

A: Using derivative

Q: Let y = x5 ln x y' = = y" =

A: Topic - first and second derivative of a function We are given,  y=x5ln(x)we know…

Q: S√8x³ +36x² +54x+27 dx

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Q: Find the tangent, unit tangent, and unit normal vectors for the curve r(t) = (2t²+1, 2 sin(t),…

A: Given that, r(t)=<2t2+1,2sin(t),ln(cos(t))>We need to find tangent, unit tangent and unit…

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use ∞ or -00, enter…

A: We need to evaluate the following limit using L'Hopital's Rule limx→∞ex39-x4 L'Hopital's Rule: If…

Q: Q1 Consider the plane curve defined by the parametric equations x = 2 + 2 cos² (t), y = 3+ sin(2t)…

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Q: Compute the derivative of the given function. sin ¹(³+4) O O O d dx d dx d dx [sin ¹(x³ + 4)] = [sin…

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Q: Find the particular solution of the differential equation x²y" + 11xy' +29y=0 (x > 0) satisfying the…

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Q: If demand is unitary when the unit price is p = $7, then revenue will decrease if the unit price is…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: For the given cost function C(x) = 12100 + 300x + x² find: a) The cost at the production level 1200…

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Q: and all functions that have a derivative functions have the form 0

A: Topic:- application of integration

Q: O-11 60

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Q: -3π/2 -T -TU/2 3 2- 1 -1 -2 The graph above is a graph of what function? y = tan(x) y = sin(x) y =…

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Q: For the right triangle below, find the measure of the angle. Please show your answer to one decimal…

A: Given query is to find the measure of the Indicated angle.

Q: wo yeast populations are grown in a lab on campus. The first population grows according the DDS…

A: NOTE: Refresh your page if you can't see any equations. . the first population grows according to…

Q: Le symbole sigma pour la somme est une notation standard en mathématiques qui nous permet d'exprimer…

A: Given information (a):-   ∑i=1n f(x1),     (b):-  ∑i=1n f(xi), (c):- ∑i=0n xi ,           (d):-…

Q: 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, and 66 Find the absolute maximum and…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Use the power series method to solve the given initial-value problem. (Format your final answer as…

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Q: The area of the region bounded by the two curves y = x² and y = 16 is Square Units

A: To determine the area of the region bounded by the two curves y=x2 and y=16.

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A: Let's solve given integration.

Q: Use implicit differentiation to find y² + 4x³ = 8y - 5x² dy dz z(5+6x) y-4 da X

A: Topic = Derivative

Q: 3. The slope of a curve at the point (x, y) is given by 3x²y + 2y. Find the equation of this curve…

A: To find the equation of the curve with given slope

Q: A helicopter starting on the ground is rising directly into the air at a rate of 21 feet per second.…

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Q: Find lim_h(x), if it exists. (If an answer does not exist, enter DNE.) (a) (b) (c) X-8 f(x) = 9x² +…

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Q: Need Help? m/min. Read It Watch It Master It

A: Topic:- application of derivatives

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Q: Find the first partial derivatives of x - y x+y f(x, y) = af -(1, 1) = д х of ду -(1, 1) = = at the…

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Q: Determine the limit by sketching an appropriate graph. [x² +3 10 forx #-1 for x = -1 6) lim f(x),…

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Q: Determine the area of the region bounded by two the curves f(x) = x² – 18x + 28 and g(x) = 9x + 14.

A: Given: fx=x2-18x+28 and gx=9x+4 Graph between both the curves will be as following   Area between…

Q: Evaluate the definite integral. 1 lis 0 (5* −_4*) dx

A: solution:-∫015x-4xdx=∫01exln5-exln4dx=exln5ln5-exln4ln401=e1ln5ln5-e1ln4ln4-e0ln5ln5-e0ln4ln4=5ln5-4…

Q: Find the point of inflection of the graph of the function. F(x)= x+9 cos x , [0,2pi] and describe…

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Q: Calculate, to four decimal places, the first ten terms of the sequence. n *₁ = 1 + (-)"

A: We need to find out the first ten terms of the sequence.

Q: Suppose z = x² sin y, x = −5s² + 3t², y = -6st. A. Use the chain rule to find 53 33 and as functions…

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Q: the area of the les triangle Te with 1,3), R(2, 4, 62 SC1F-1,9). 1

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