dt J tan t/4 – sin? t

Q: 1.) Solve the equation. Give your answer correct to 3 decimal places. 55,000 = 10,000(1.06)4x x =  ...

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Q: The differential equation of the family of curves whose equation is y=x° + ax +bx + 5 given by Ay"+ ...

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Q: II. Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First Met...

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Q: Suppose that a curve is given by the equation  x3−y3= 40xy which defines  y  as function(s) of  x ...

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Q: 2. Use the definition of derivative (as a limit) to differentiate f(x) the rules of differentiation)...

A: We need to find derivative using definition of derivative. Definition of derivative is given by -  f...

Q: If a series Σ An is convergent by the Ratio test then the series

A: Solution

Q: 3. The differential equation of the family of curves whose equation is y=x° + ax +bx +5 given by Ay"...

A: For the detailed solution of the problem follow the next steps.

Q: Section 5.4: 1. Use any method for determining the convergence/divergence of the following (but the ...

A: Solve the following

Q: 2. Obtain the particular solution when x = 0 and y = 1 (2 xy + x + x*) dc + x²) dy = 0 - (1 + 4 |

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Q: 3^(-4+3x)=1/27

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Q: 15. What is the sum of all integers from −20−20 to 8080 ? A.3,000  B.3,060  C.3,030 D.3,450

A: Solution: Given: 15. What is the sum of all integers from −20 to 80?

Q: Find an equation of the tangent line to y = 7 sin(x) at x =

A: Solution-  Equation of tangent is given by y = mx+ c ( where m is slope)    Given equation is  y = 7...

Q: O in two ways. Write your solution on II. Solve xdy + (3x – 2y)dx = 0 the space provided. 1. First M...

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Q: Show (without using a calculator) that sin π/7 cos 4π/21 + cos π/7 sin 4π/21 =√3/2 .

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Q: 2. y" – 4y' + 4y = 0

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Q: 6. A spherical snowball is melting in such a manner that its radius is changing at a constant rate, ...

A: Given that, Rate of change of radius (r) of spherical snowball is, drdt=17-2730 drdt=-13 cm per minu...

Q: 5. Sketch the graph of r=2 cos 30 over over [0, a] (use x on [-3, 3] and y on [-3, 3] when using you...

A: Solution: Given: r=2cos3θ ,[0,2pi] We are here using the graphing calculator to making graph.

Q: The particular solution (x = 1, y = 0) of the differential equation X+x cos y -y sin y dx +x sin y d...

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Q: x2/3 + y2/3 = 4 %3D y' = Find an equation of the line tangent to the given curve at the given point

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Q: The differential equation of the family of curves whose equation is y= X° +ax² +bx + 5 given by Ay"+...

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Q: Question 10

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Q: f(x)= (x^2-2 where, x/=4). Calculate: lim x-4^- f(x)

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Q: Find the linear approximation of the function below at the indicated point. f(x, y) = V 29 - x2 - 4y...

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) = t...

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Q: 3. The differential equation of the family of curves whose equation is y = x' + ax' +bx + 5 given by...

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Q: The function y = 4e3x sin x is a solution of dy = 3y + 4e3x cos x dx A) True B) False

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Q: Convert the following iterated integral to cylindrical coordinates: xz dzdxdy.

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Q: Use the function f(x) = 13x – 14.0 to answer the following questions. %3D - (a) Find the interval(s)...

A: Topic:- Functions 

Q: Find the absolute maximum and minimum values of the following function on the given region R. f(x,y)...

A: To find the absolute maximum and minimum of f(x,y) on the given domain

Q: Let f (x) = cos a Determine the x-value(s) where the function has a maximum or minimum value on [0, ...

A: We have to find the x- values where f(x) has maximum or minimum values on [0,2π).

Q: The thickness of the shell is a = 0.3 centimeter. Use differentials to apPproximate the volume of th...

A: The objective is to find the volume of the shell. 

Q: A spherical balloon is inflated so that its volume is increasing at the ft3 rate of 3 min How fast i...

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Q: | The equation 6y' – 2y = xy is a separable differential equation. A) True B False

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Q: Solve the given third- or fourth-order differential equation. D4y - 20 D3y + 64y = 0 A y=c1+C 2e 4x ...

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Q: Зу xIn(x) The function f(x) =2 ( In(x) )³ is a solution of y =

A: Given function f(x)=2(ln(x))3

Q: Let h(x) = f(x)g(x). If f(x) = -5a2 +5x- 4, g(2) = 3, and g'(2) = -4, what is h'(2)? %3D %3D Provide...

A: Find the derivative of h at x=2

Q: t the given point, find the slope of the curve or the line that is tangent to the curve, as requeste...

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Q: 1. If Z = sin r+ 2 I+1 6. - ", find dZ/dr.

A: differentiate with respect to x

Q: 3. Use the rules of differentiation to find the derivative for f(x) = xª + 3x? Find the equation of ...

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Q: Suppose A CR and B CR are sets, and that a = sup A and b = sup B exist. (a) Prove that ANB is bounde...

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3, 0 < x < ...

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Q: 10 (с) J (x – 1)(x² + 9) dx .4 .3 (d) /- x* + x° + 2 d.x x² + 1

A: Given integrations

Q: The particular solution (when x = 1, y = 0) of уe* + xе* + 6——4 |dx + х еx — 4 + y cosy dy = 0 has t...

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Q: A wooden ball of weight 196 newtons is dropped vertically from a height of 100 meters above the grou...

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Q: • Solve the value of x, y, and z of the systems of equations below: 2x + 3x -5z = -7 -3x + 2y +z = -...

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of in...

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Q: MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The density of lead is 11.34 g/cm3 and the density of alu...

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Q: The equation 6y' – 2y = xy is first order linear differential equation. A) True В False Question 6 T...

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

Q: Find parametric equations for the path of a particle that moves along the circle x? + (y - 2)2 = 36 ...

A: Given function is x² + (y - 2)² = 36

Q: Solve the following equation in the interval [0, 2 π]. Note: Give the answer as a multiple of π. Do ...

A: Given |tan(t)|=1 in interval [0,2π]