Find the derivative of the function r = sin(0³) cos(30). dr do

Q: In 2004, an art collector paid $172,536,000 for a particular painting. The same painting sold for…

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Q: Question 26 Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/2 when x =…

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Q: Obtain the differential equation whose general solution is y = ₁ + ₂³x A. B. |y" - 3y' = 0 D. E. 3y"…

A: Differentiate both side with respect to x

Q: Integrate [8³e³ 13 ft³e est dt t³ est dt. =

A: The solution to find the integral  of given integration is as follow.

Q: (6) ft sin 2t dt.

A: We need to find out the integration.

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: f(x)= (ln x)^3 f'(x)=

A: Given, f(x)= (ln x)^3

Q: Evaluate the integral π/ 10 S 3cos 5t sin 5t dt. 0

A: Please see the below picture for detailed solution.

Q: Filling a Conical Tank Water is poured into a containerin the shape of a right circular cone with…

A: Volume of the cone=13πr2hGiven:-Radius of the base of cone=4 feetheight of the cone=16 feet.and…

Q: Determine the solution of the differential equation: 3(x² + y²) dx + x(x² + 3y² +6y) dy = 0.

A: To determine the solution of the following differential equation. 3x2+y2 dx+xx2+3y2+6y dy=0

Q: Find f'(x) and simplify. f(x) = 8x*(x³ -9) 3 Which of the following shows the correct application of…

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Q: Let SS be the universal set, where: S={1,2,3,...,28,29,30} Let sets A and B be subsets of S, where:…

A: S={1,2,3,...,28,29,30}Let sets A and B be subsets of S, where:Set A={4,5,6,9,13,20,24,28,30}Set…

Q: Find the present value of $6000 payable at the end of 3 years, if money may be invested at 8% with…

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Q: Geometry A semicircle of radius r is inscribed in a rectangleso that the diameter of the semicircle…

A: Area of the rectangle=length×breadthPerimeter of the rectangle=2(length+breadth)given :-Radius of…

Q: Find the derivative of the following function. f(x)=√coth (2x)

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Q: (2) fx sin 2x dx.

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Q: What is a suitable integrating factor that can be used to solve the equation dy dx O A. e B. 3 ex C.…

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Q: present

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Q: Let f be a continuous and twice differentiable function. Let f'(3)=0 and f" (3)=2. Select all that…

A: givenf'(3)=0

Q: For the function f(x) = 5x² 2x, evaluate and simplif f(x+h)-f(x) h 11

A: f(x)=5x2-2x hence f(x+h)=5x+h2-2x+hf(x+h)=5x2+5h2+10xh-2x-2h

Q: Solve for the value of C in the equation: dy - (y + xy5) dx = 0 when y(0) = 1 O A. 1/4 O B. 1/2 O C.…

A: First we will integrate the given differential equation and then find the value of C at given…

Q: 18

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Q: 9. For what value of a is the following function continuous at every x? a x+6a, x22 8, x<2 Select…

A: Given query is to find the value of "a" that makes function continuous everywhere.

Q: dy Solve for the value of C in the equation: + ycotx dx OA. -5 B. 5 OC.-4 D. 4 E. None of the…

A: The given differential equation is dydx+ycotx=5ecosx, yπ2=1 This is a linear differential equation…

Q: Sketch the region bounded by the curve x 2 = y and the line x = volume of the solid generated by…

A: solution:-the region bounded by y=x2-2 &amp; x=y+2revolving around y=1

Q: Evaluate the following integral. dx √√x². + 2x + 122 What trigonometric substitution will be the…

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Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

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Q: 2. Find the 2nd derivative of sin (x²-1) y *2cos(x^2-1) 4x^2 tan(x^2-1) 2cos(x^2-1) + 4x^2…

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Q: Let f(x)=−3e^x+2+e^4 f′(0)=

A: SOLUTION-

Q: Solve below given differential eqn (x3+ уз) dy xe²4.de

A: We need to solve the differential equation.

Q: The integrating factor (IF) of the equation y' - 2ycot2x A. sin2x B. cot2x C. Lnsin2x D.csc2x None…

A:

Q: Exercises  tell how many units and in what directions the graphsof the given equations are to be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Which of the following is NOT true about the linearity of differential equations? O A. Which of the…

A: Given query is to find the incorrect statment for liner differential equations.

Q: At t = 0, a train approaching a station begins decelerating from a speed of 104 mi/hr according to…

A:

Q: Use a Riemann sum with 4 rectangles of equal width to approximate the area between y = x³ +8 and the…

A: Let's find area by using right hand Riemann sum.

Q: (a) J x² dx 3x + 2 x + 7 (b) 6) [ √2+1 da dx

A: Since multiple questions are asked, I am answering first question

Q: A car sharing service offers a membership plan with a $30 per month fee that includes 10 hours and…

A:

Q: Determine how much time is requiredfor an investment to double in value if interest is earned at the…

A: Given data:- The given rate of interest, r= 6.25%  Assume the required time is t years.

Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y = 1. The cross-sections…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. OB. O نا ey eLny O D.y O…

A: Given Data  y(x+y+1)dx + x(x+3y+2)dy =0

Q: Which of the following equations OA. (2x sin y + y)dx + (x² cos y + x)dy = 0 OB. 1 dx-dy-0 y O E.…

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Q: Determine the solution of the differential equation: dx dy y 4² + X y

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. B. ey eLny OD.y O E. None…

A: To find the integrating factor.

Q: Which of the following is a non-homogeneous function? tan³y/x | xLnx − xLny x³ - xy + y2 (y² +…

A:

Q: Let f(x) = 4x + 4 6x + 7 Determine (fof)(x).

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: In 2004, an art collector paid $59,886,000 for a particular painting. The same painting sold for…

A: To find out the exponential growth rate and also the exponential growth function.

Q: Which of the following equations can be made into a linear differential equation? A. (x² + xy)dy -…

A: On solving this we will get

Q: p(x)=3x^3−x^2−8x−25 k=3 Use synthetic division to determine if the given value for k is a zero of…

A: The given polynomial is  P(x)=3x2-x2-8x-25  check whether k=3 is a root of the polynomial or not.

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x − y)dy = 0? None…

A: Given (y+1)dx+(4x-y)dy=0 Multiply both sides by 1(y+1)dy (y+1)dx(y+1)dy+(4x-y)dy(y+1)dy=0…

Q: Give the implicit solution of y'=y=xy²e Oe-2x = y²(x²+c) O e ²x = y²-c O e²x = x²(y²-c) е…

A: We will find the required  solution of given differential equation.