where t is time in seconds and the dimensions

Q: Find an explicit solution of the given initial-value problem. √1-y² dx - √1-x² dy = 0, y(0) = 113 2…

A: Here in this question, we have to find out the solution to the given differential equation.

Q: 1064 التاريخ معنات 1105 نا بسبب 1085 The radius of Convergence is R- 4 H-W n Σbal) (2x-3)^2 (-1)…

A:

Q: Use interval notation to write the solution set of the following inequality. x²-3x>0 What is the…

A:

Q: f(x) x→0 x² (a) lim f(x) X-0 (b) lim If lim = 1, find each of the following limits. f(x) X→0 X I X X

A:

Q: Let f(x)=ln(x^2+4x+12) f'(x)f′(x) =

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

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

A: Given 3. f(x)=(5x2+8x)3To find the deriative:

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. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e at y(0)=1 and y (0)=2

A:

Q: The radius of a circular oil spill after tt minutes is given by r(t)=√9tr(t)=9t. Find the…

A:

Q: Q5. Show that the following limits don't exist. x² 1) lim (x,y) (0,0) x2+y x-y 2) lim (x,y) (0,0)…

A:

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

A:

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

A: We can solve this as follows:

Q: 1.) The height above the ground at which a ball is released at an initial height of 122.5m is given…

A:

Q: (b) Find the complete solution (y = ye+ yp) of the following equation using undetermined…

A:

Q: 2- Find the equation of the tangents to curve given parametrically by Y= sin(x²)+1 at…

A:

Q: Determine the moment of inertia about y-axis

A: This is a problem related moment of inertia of composite sections. Based on general formula and…

Q: Find absolute extreme values for (2) g(t) = √t 1+12¹ x € [0,2]

A: Given: Function  gt=t1+t2, 0≤ t≤2To find: Extreme points gt=t1+t2, 0≤ t≤2

Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) -1 lim (-6 +h)-¹ + 6-1…

A: L'Hospital rule:- If limx→0f(x)g(x) is of the form 00 then limx→0f(x)g(x)=limx→0f'(x)g'(x)Continue…

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: EX: Estimate the value of 1.1.5 Sol 3 (4.5 = (1+0.5.), X=015 by..binamia.l.sevies... m. = 0.15…

A: We have to expand it by using binomial expansion.

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

A:

Q: Suppose z is a function of r and y, and x² + y² + z² = xe² + ye² + ze³. Solve əz əz for and əx ду

A: Topic = Derivative

Q: . Use the definition of error function, prove that [²' ( ²² ) = √T z

A: On solving this we will get

Q: 3- prove that w = w yx if w = xy² + xy +

A: Given problem:- w=xy2 +x2y3+x3y4  Prove that wxy =wyx

Q: Which of the following is the appropriate substitution to evaluate the given integral using…

A: This question is related to indefinite integration, we will solve it using given information.

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

A:

Q: Solve the initial value problem.  1. y"=x²+3y'-2y, where y(0)=1and y'(0)=3

A: The given differential equation is y"=x²+3y'-2y, where y(0)=1and y'(0)=3

Q: 1. Which of the following is the reverse operation of [f(x)]? dx A) f f(x) dx B) Jdx C)f cdx D) dx…

A: Topic = Integration 1) A 2) A

Q: 3. Which of the following is equal to fu" du? A) un+1 +C u"+1 B) +C n+1 C)n(u)n+1 +C D) + C 11-1 4.…

A: Topic = Integration 3) B 4) A 5) B

Q: (vii) 5.001 = mpQ (viii) 5.0001 MpQ = (b) Using the results of part (a), guess the value of the…

A:

Q: Evaluate f sin √r dr

A: Topic = Integration

Q: I need the third derivative for all of the following functions: f(x)= + 1 + x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: a) b) √ (x² + 2x) dx x+2 I X2 S dx √x

A:

Q: 3) 3x² + 3x³ - 5x² + x - 1 x²+x-2 dx

A:

Q: Suppose

A: We will solve the problem.

Q: Solve the given differential equation by separation of variables. dy e5x + 4y dx =

A: Given :dydx=e5x+4y

Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $11 the…

A:

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). 2)…

A: To find the following equations of line , and area of a triangle.  Since you have posted a question…

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  (h − 4)2 − 16…

A: Expand (h-4)2

Q: What is the total change of f(x), if ƒ'(x) = 2x − 3x², over the interval [0, 3 -18 -12 -6

A: Given query is to find the total change for the given intererval.

Q: 1) lim x + 5 x-3 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

A:

Q: y' = X y+x²y , y(0) = -2

A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation

Q: A) √2 [² /4t² + 1dt

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Q3: Fill in the blanks in the following: A. If u= (1,6,-8) and v=(4,-2, -1) the xu B. The inverse…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: Evaluate / fasiner for drdedz Jo

A:

Q: The graph of y=f(x)is given below. 7 4 Find all a values at which f is not differentiable.…

A:

Q: Find the first three nonzero terms of the Taylor expansion for the given function and given value of…

A:

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

A: