Solve the ff initial value problem. 1. y'=4xe2x²cosx - ytan x, where y(0)=1 2. y'=e-2x y², where y(0)=1

Q: y = x2 y = -2x4 -24

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Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A: Let's find equation of tangent plane and parametric equations of normal line.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Given :7x+5ydx+5x-8y3dy=0

Q: Suppose s(t) = 8t - 2t² on the interval [0, 4]. What is the distance traveled on [0, 4]? 00 04 08 O…

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Q: Determine whether the integral is improper. +∞0 (x+3)-1/3 dx -∞0 O Improper O Not improper

A: Topic = Integartion Improper

Q: 121+ 18 + bh + S2 + b fl

A: We can solve this as follows:

Q: Q) Using the properties of logarithms, find the derivative of the following function (x²-1) √x + 1 y…

A: By using the properties of logarithms, to find the derivative of the following…

Q: Find the equation for any horizontal asymptotes for the function below. f(x) = 5-8x+x² 4+5x+2x²2² CO…

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A: a) Given that, the toll T charged for driving on a certain stretch of a toll road is $3. The toll…

Q: If ƒ(x) = (7x − 2)² · (8x² + 8)ª, find ƒ'(x) using logarithmic differentiation

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Q: f(x,y) = x² + 6xy − 3y² + 2x - 2y + 1433, g(x, y) = sin(x²y + 2x - 5),

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Q: Question 5 Use Pascal's triangle to expand your binomial expression. A (1 + x)³ (1-x)³ (1 + x)4…

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Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2).

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

Q: Solve the boundary value problem, if you have : 4y" + 3y = 0; y(0) = 1; y(n) = 0

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Q: 16 + 3 the following matrices festSIAM #71 47 purन

A: Topic = Matrix

Q: d RULING AND SOLVING! 1. Review the basic concepts of Basic Rules of Differentiation. 2. Determine…

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Q: What is the displacement of an object on the interval 0 ≤ t ≤ 9 if its velocity is V (t) = 6 -√√3t?…

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Q: For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts,…

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Q: If f(x)=(5x+6)−3

A: Given:  f(x)=(5x+6)−3To Find: f'(x), and f'(3)

Q: Write an equation of the line with the indicated slope and y-intercept Slope = -4 y-intercept = 3 y=

A: slope =m=-4y-intercept =3

Q: A- for the function below, the domain and the range is respectively y = |x-2

A: To find the domain and range of the given function

Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

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Q: Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y sin x…

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Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between…

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Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = −2

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Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation…

A: Let's find rate of inflacted population.

Q: with solution Final dy वर di dr-/2cset-1 de lesct. +2

A: We have to find out derivative

Q: du + 2) du dx du dy -

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Q: 3. Show your complete SOLUTION AND FINAL ANSWER on the given functions. 1.f x³ dx

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Q: for the function below, the domain and the range is respectively -2+√1-x

A: Topic = Functions

Q: P7 Answer 1 2 3

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Q: R: x + 2y = 2, y - x = 1 and 2x + y = 7

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Q: Determine whether the differential equation (3x + 8) + (3y − 3)y' = 0 is exact. If it is exact, find…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0 (x + h)3 −…

A: The given limit,      limh→0x+h3-x3h

Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

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Q: 2. lim x-1 X f(x) x-1 √3 0.9 0.99 0.999 1 ? 1.001 1.01 1.1

A: Given problem:- limx→12x-1-3x-1 Evaluate limit using table

Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

Q: Consider a function f(x,y) that allows second partial derivatives, the derivatives for that function…

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Q: Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and…

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

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Q: 7- Determine the volume of the parallelepiped formed by the vectors u = [ 2,1,3], v = [1,-4,2 ] and…

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Q: 1. Given the function f(x) = sinx,x=(0,2€). Please find the intervals of increase or decrease, local…

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Q: The value of θ, where 180º ≤ θ ≤ 360º, in the equation 2cos2θ + cosθ =0 would be? i) θ = 90º, 120º…

A: We want to select the correct option.

Q: If a ball is thrown into the air with an initial velocity of 50 ft/s, its height in feet after t…

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Q: Write in Sigma Notation #3

A: Here we have to write the given sum in Sigma notation.

Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

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Q: 5-find Аху : xe 12) if f(x, y) = xe

A: First I have mentioned what we have to find then just use the rule of partial derivative find the…

Q: Problem 1. (a) Show that fi(x) = log(3x² + 5) is O(log x). Find the witnesses C and k explicitly.…

A: Concept: We have  f1(x)=log(3x4+5) is O(logx) that is it is the function of log(x)…

Q: Evaluate the integrat. Sa dx су-хууг dx

A: Given :∫14-x22dx

Q: 1. Evaluate √2 √4x² dx using a trigonometric substitution.

A: