4 f (g(x)) = (3x² – 2x + 4)6 f (g(x)) = (x)(x² + 3)² - 5.

Q: Which of the following is an antiderivative of f(x) = 12x³ - 9x2 + 8x – 3?

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Q: -3/2 Substitute c = 5e¬ in f(x) = 4x² In() and find f(c). 5. R6) = «(se-3/2}* in(3e2) AC) =…

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Q: In 2. Determine whether the series E=1 is convergent explain why. 100

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

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Q: Sn sin4xdx = 4 */3 1/12 Select one: O True O False

A:

Q: Consider the parametric equations x = 4 cos(0) and y = 2 sin(0). (a) Create a table of x- and…

A: We know that   cos(-θ)=cosθ  and   sin(-θ)=-sinθ

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: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A:

Q: Using the shell method, determine the integral that represents the volume of the solid formed by…

A: volume rotating about x=pii

Q: n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

A: We will use Ratio-Test to determine converge.

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

A:

Q: Determine the centroid of the first-quadrant region bounded by the parabola y = 4 – x²

A: Given; parabola y=4-x^2

Q: The height h, in meters, of an object at time t is given by 12t + 18t – 6t2 .h(t) What is the height…

A:

Q: 1) Use a double integral to find the area of the region enclosed by y= x² and y = 2x.

A:

Q: Parker was born on February 29, 2,008. The fifth time he is able to celebrate his actual birthday is…

A: We know that a single year have 365 days And a leap year have 366 days in a leap year. Now between…

Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A:

Q: Find the differential equation whose general solution is y = c,x + Cze* . A. (x – 1)y" – xy' + y = 0…

A: The simplest approach to do this question is to verify through options.

Q: dx 2. Find the integral x²(x+1) In (***) + C b. In (***) - +C 1+ C c. In (***) ++ c d. None of the…

A: Here we have to find the integral

Q: (x=1² +3t – 1 + 3t – ; at t=-2. t-2 y = t² +1

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Q: L 3x2 dx = 65 %3D Select one: O True O False 2Vadx = 104/3 Select one: O True O False L (x +4)(2 +3)…

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Q: 2e- 2 Consider the indefinite integral dz: (e- 27 + 3) This can be transformed into a basic integral…

A:

Q: The equation y? = cx is a general equation of A. y' = 2 B. y = 2x 2x C. y' = y y D. y': 2y O A NONE…

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Q: x²– 9 ?

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: topic- differential equations

Q: Find div F and curl F if F(x, y, z) = xz°i+ 5y*x²j +4z²yk. div F= curl F=

A: To find curl F and div F.

Q: t²dt can best be evaluated by: (A Trigonometric Formula B Integration by Parts (c) Trigonometric…

A: We have to find out

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: 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

A:

Q: Assignment On Integral of Trigonometric Functic Determine the integral of the ff. functions. 1. S -…

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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: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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

A:

Q: y" + y = sec 0 tan 0

A: The given differential equation is  y''+y=sec(theta)tan(theta).

Q: S- dx x?V4-x?

A:

Q: 20 u(x) = 0.3e(0.5(-x+ 275.1)) + 3.62 21 v(x) = -1.2 log, (0.3(x – 269.73))+4.4

A: We need to find derivative.

Q: 4.) on this item Pinal (Vx+Vx)* dx Use only The Method of substitution/u-substitution answer should…

A: We have to find the integral

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: see below the answer and explanation

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

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Q: (x² + y2 + x)dx + xydy = 0 %3D

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Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

A:

Q: dy Find for dx 2. y = x(e*) = x(e*)

A: Given: y=xex   ....(1)   As we know that; The Product rule; f·g'=f'·g+f·g' And ddxlnx=1xddxex=ex

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

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Q: Determine the integral of the ff. functions. 1. S - 10 sin 5x dx 2. S 4 x cos x² dx 3. S sec 2 (3x +…

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Q: x++ dx 1.

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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 area of the plane region bounded by y = x2 - 4x and y = x(2 - x)

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Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 12tj – 8Vik) dt Need…

A: