Solve for the derivative of the following composite functions. f(g(x)) = (x + 4)5 1.

Q: Given that a parallelogram is officially defined as a "quadrilateral with opposite sides that are…

A: We need to prove the property.

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx 2. 4-x-

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Q: An antiderivative for is: 22 +81+20 1 O In + C I+8 ㅇ 올tan-1 () +C 금i미플의 O In 28|+ C O tsec- (4) + C

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Q: 1. S sin x cos 3x dx.

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Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

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Q: |y csc?y dy is equal to A) y coty+ coty B -у соty + coty dy C) None (D -y coty - | coty dy E у coty-…

A: we have to find out

Q: Find div F and curl F if F(x, y, z) = x²i – 5j + yzk. 2: - div F= curl F=

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Q: $3000 is invested in an account at interest rate r = 0.035, compounded continuously. (Round your…

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Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo.

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Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: The most conveneient way to evaluate xx2-4 by substitution is to let x2- A True B) False

A: We have to find out

Q: (7,-2) and Perform the vector operation, given that u = v = (-4, 5). %3D 9. 2u + 3v A-n

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Q: Find the volurne of the solid generated by revolving the region about the given line. The region…

A: Explained below

Q: (4)Show correct Answer for this 1 question and Highlight it, tysm!!

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Q: How many arbitrary constants will be there n the general solution of a second order differential…

A: The number of arbitrary constants in the general solution of a differential equation is equal to the…

Q: velocity? Answer:

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Q: 3x? (x³ + 4)* dæ = 5120 Select one: O True O False

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Q: 21. Solve the equation y' = (x²+ 7) / 9 (2x / 9) + c b. y = (x / 18) + c 22. Solve the equation y' =…

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 65 bushels of fruit. She…

A: answer is in next step

Q: LI (x + 4)(x +3)dr = 74/3 Select one: O True O False

A: topic- definite integral

Q: d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

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Q: Determine whether the series converges or diverges. Make sure to clearly state the test that you're…

A: Given,  ∑n=0∞2xnn!

Q: So dz Select one: O True O False

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Q: F (x) = f (t³ – t)°dt. Find the derivative of O 5(t – t)* (3t² –- 1) (23 – z)* O 5(2³ – z)“ O 3t2 –…

A: To FInd:  derivative of the given function

Q: Find the tangential and normal components of the acceleration vector for the curve 7(t) = (- 3t,…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

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Q: e the initial value problems with initial conditions y' = y – 1 @ yo = 0 b. у %3D et- 1 а. у%3 у?— 1…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. By definition, which of the following formula gives the derivative of a function at any value of…

A: A detailed solution is given below

Q: 7. Sketch the region of integration, and evaluate the integral. 22л г JI * zdz d0 dr 0 л 0

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t→+o\ 9t2 + 10' 3t (?, ?)

A: We have to find the limit

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: The directrix is the line y =-3, this is a horizontal line. The vertex is at the origin (0,0), so…

Q: Problem 3 Find a power series representation for the function and determine its radius of…

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Q: Using the fundamental theorem of calculus, find the derivative of the integral -3x+2 t -dx 1+t3

A: We have to find derivative of given function.

Q: ydx — хdу %3D у?dy

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Q: Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the…

A: Write an iterated triple integral in the order dz dy dx for the volume of the region in the first…

Q: Of the Sollds gene by Volving the regions Doundeu by graphs of equation given iines. y = 3x2 y = 0 X…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: Find the area of the plane region bounded by y = x2 - 4x and y = x(2-x). Answer:

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Q: y" + 2y' + 5y = 4e¬t cos 2t, y(0) = 1, y'(0) = 0

A: Given:       y''+2· y'+5· y=4 e-t cos2t      y0 =1   ,    y'0=0

Q: Find the derivative of F (x) = S (t3 – t)° dt. O 5( – t)* (3t2 – 1) - O (2 - 2) O 5(x³ – 2)* O 3t2 –…

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Q: Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check…

A: We will do partial differentiation to find maximum or minimum point

Q: 19. y = sin-1+ cos-1 2 2

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Q: dx 2. x²/4-x² V4-x2

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Q: Find two values of 0, 0so<2n, that satisfy the following equation. cos = 2 (Simplify your answer.…

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Q: у" - у'— бу %3D 2, у (0) %3D 0, y'(0) = 0

A: Given that     y" - y' -6y = 2 , y(0)=0 , y'(0) = 0

Q: dx xV4-x?

A: Explained below

Q: 4y" – 4y' + y = 16e*/2

A: Find your answer below

Q: Summation of n = 0 to infinity of (x3n) / (n!) Find radius and interval of convergence.

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