Find the derivative of the following functions.

Q: E Homework: Homework 5.6 Question 1, 5.6.1 Part 1 of 4 In 2012, the population of a city was 5.68 mi...

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Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

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Q: 2. 49

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A: Given query is to find the linear relationship and the height of the plane at x = 18.

Q: Consider the following function. s(2) = { 16 , 0 %3D (a) Find the critical numbers of f. (Enter your...

A: NOTE: Refresh your page if you can't see any equations. . the first function is 

Q: Let z be a function of x and y defined implicitly from the equation 9ye" - 5 cos(y+ z – 1) = 7x – 12...

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Q: Solve the differential equation: (y- sqrt (x²+ y2) )dx= xdy when x= sqrt 3, y=1 Please also state ...

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Q: Perform the indicated operation and simplify if possible. 17. 17 O A. V7 O B. 7 OC. V14 O D. V49

A: Topic:- simplification

Q: 40. 1 1+ 1/n n = 1 n

A: According to our policies we are allowed to solve one question at a time so kindly repost the other ...

Q: Evaluate the integral using Trigonometric Integrals S (8 – - 3cos (x)sin°(x) dx °(x)sin´(x)dx

A: We can find the integration as below using trigonometric integral.

Q: Show complete and detailed solution of the differential equations 1. x(dy/dx)+(1+x)y=e-xsin2x

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Q: Evaluate the following indefinite integral Use C for any constant of integration 81 – x10 dx =

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Q: Differentiate...

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Q: 1. Solve the triangle. Include all possible triangles. Round each value to one decimal place a = 3, ...

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Q: For the following two vectors, (a) calculate their dot product, and (b) find the angle 0 between the...

A: We have to calculate dot products and find angle

Q: Differentiate y = sin(3x + 4y) cos(3x+4y) 1+ 4 cos(3x+4y) з cos(3x+4y) 1+4 cos(3x+4y) cos(3x+4y) a. ...

A: y=sin3x+4y

Q: 용 -6 -5 -3 -2 3 6 -2 -4 -5- -6 -7 lim f(x) = Enter the limit. If the limit is o, enter oo. If the li...

A: Topic:- limits   

Q: The wheels on a skateboard have a diameter of 2.41 inches. If a skateboarder is traveling downhill a...

A: Topic  = Algebra

Q: Find the rate at which the volume of a right circular cylinder of constant altitude 10 ft changes wi...

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Q: Explain why the integral ex* dx is convergent.

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Q: For which positive integers k is the following series convergent? Σ (n!)2 (kn)! n = 1

A: We have to find the value of K so that given series converges. 

Q: Evaluate the integral : S 8г2 +10х—6 (х—1) (х+1)2 dx = |

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We need to find the differential equation of the family of the plane curves described below: Family ...

Q: Differentiate y %3 (x? + 7х — 1)(5х + 2) а. 20х3 + 6x2 +70х + 9 b. 12x3 — 4x2+ 70х + 9 с. 10х3 + 6x2...

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Q: 5+ 4- 3 1- -5 /-4 -3-2-1 1/2 3 4 5 -1 -3 -4 -5+ 2.

A: The graph of the polynomial is 

Q: (カナ) 2.

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Q: Part 1 of 2 A minute hand on a clock is 4 inches long. Determine how far the tip of the minute hand ...

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Q: Find the slope of the curve x? – 3xy + y² – 4x + 2y + 1 = 0 at the point (1, -1). с. 1/3 d. 1/5 а. 1...

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Q: Find x' for x(t) defined implicitly by x* +t"x+t-3 =0 and then evaluate x' at the point (- 1,1). ......

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Q: Lesson 4 1. Given the function f(x) = 3-x, graph and find lim f(x) a. b. lim f(x) c. lim f(x)

A: Topic = Function As per guidelines, At a time only one question can be answered out of different mul...

Q: Set up the definite integral that gives the area of the region. Y1 = x2 – 5x Y2 = 0 dx 3 * 4 6 12, -...

A: Area of the Region bounded by the curves :If f(x) and g(x) are two continuous function on a,b and f(...

Q: divergente Evahate Determine whether eacn thuse that are integral is Convergent. or Converyent. 2x d...

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Q: written

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Q: A helicopter is heading N 33° E (i.e. direction angle of 57°) with an airspeed of 17 mph, and the wi...

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Q: Find the the arc length of y = 3x² – 2 from x = 0 to x = 4 No decimal entries. Find the exact value....

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Q: The temperature at a point (x, y, z) is given by ,² - 5y² – 722 T(x, y, z) = 100e where T is measure...

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Q: dx =(x²yeº- 3xy²) dy |

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Q: A) Determines the intersection of the lines: r, (t) = (1,4,0) + t(-2,1,1) and r,(s): x = 2- 3s,y = 1...

A: Solve for graph and plane. 

Q: Solve the differential equation: (2x-y+2) dy + (x-2y+4) dx =0  Please also state which or the follow...

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Q: Ae"+ Be`t I Eliminote the arbitrary constants y Iny

A: ylny=Aex+Be-x

Q: The distance, in feet, a moving object has traveled after t seconds is given by 3t/(4 + t). Find the...

A: We can find the required acceleration as below.

Q: 1. Suppose that v = (0, y, 0) is the velocity field of a fluid and let S be the surface defined by y...

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Q: A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall cylinder...

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

Q: Consider the following integral: dx I = Vx - x² a. Use the substitution u = x - ; to show that I = s...

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Q: Use the difference an+1 a, to show that the sequence | {n – 9"} - n=1 is strictly increasing or stri...

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Q: Find the curvature of y = cos x at the point (,). Then find the equation of the osculating circle at...

A: To find: The curvature y=cosx at the point π4,22 also find the equation of the oscillating circle at...

Q: 1. Find all possible points of discontinuity and classify each discontinuity as removable, jump esse...

A: Let's find. 

Q: (-1)"n For positive integer n, let an = 3" (a) Determine whether the sequence {an} is convergent.

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