- If y = u – 4u and u = = 3x + r, then dy с. dr 1 dy а. dx 12x3 + 1 12x3 + 1 3u? 4 dy (3u² – 4)(12r³ + 1) d. di b. 12x3 + 1 dx

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A: Please see the answer below.

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A: Answer : y=5sin(x/3)

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A: Solution ) f(x) = ( 2x4 + 3x + 2 )/ ( -2x2 + 4x + 1 ) limx → ∞ f(x)  = limx → ∞( 2x4 + 3x + 2 )/ (…

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A: Answer should be 20.254°C.

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A: I have appended the formula used in the solution part.

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A: The given series,        ∑n=1∞3nen-2n

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A: Given,According to question,Given integral,Let I = ∫01∫x2-x dy dx

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A: Solution: Given:  ∠DAC = 40°So, ∠BAC = 180° - ∠DAC ∠BAC = 180° - 40°∠BAC =140°

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Q: 570 8. The demand function of an electronics company's car stereo is p(x) Find the 2х +7 consumer…

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Q: 3n+1 6-1

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Q: Sketch the graphs of the function f and g f(x) = x2 + 2, g(x) = 1 Find the area of the region…

A: Sketch the graphs of the function f and g f(x) = x^2 + 2, g(x) = 1 Find the area of the region…

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A:

Q: 9. х%3D? +1,у%3г? + 2г. a) Find dy/dx t² +1, y = 2t. Show All Work and Give Answer In

A: Topic = Derivative

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A: We have to check sequence convergence.

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A: This is a problem related to series and sum calculations. Based on the general concepts we will…

Q: Evaluate: x2 1. dx (x²–25)7 5

A: LetI=∫x2x2-2552dxI=∫1x2-2552x2dxApply integration by…

Q: Find the derivatives of the given functions. a. y = [ Arc sec(tan x)|· e »<2x

A: use logarithmic function to evaluate the derivative.

Q: Given the function f(x, y) = {ln (x2 + 4y2 − 4)} / [x + 1] Express the domain of f as a set…

A: The given function,      fx,y=lnx2+4y2-4x+1

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A:

Q: Let k be a positive real number. Then f(x) = Vk2 -- x2 is continuous on the interval: . (-k, k) b.…

A: To determine the interval in which the function is continuous.

Q: | #(9 – In² x)5/2 dx I. Evaluate the following integrals. 1 1. -d.x x(9 – In? x)5/2

A:

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Q: 7. Find the area of the region that lies inside the curve r = 3cos0 and outside r = 1+ cos0. Show…

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Q: Find the derivatives using Trigonometric Functions 4 y = cos* t – sin* t \1/2 ソ= v = (2 tan² 20 –1)"

A:

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A:

Q: 4х —Зx2+2х-1 Solution of lim is .... хэ0о 5x3+14x2—7х+2 4x5—3х2+2х-1 Nilai dari lim adalah .... х>0о…

A: The given limit is: limx→∞4x5-3x2+2x-15x3+14x2-7x+2

Q: ax²-3 -,x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .... (bx + 2,x…

A:

Q: etermine if the given converges or diverges. Find the value if it converge. | In(x²) dx -1

A: To integrate the given function.

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A:

Q: 9. x=t² +1, y = 3t² + 2t . d y b) Find dx? Show All Work and Give Answer In Simplest Form.

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Q: -1 4 1). -dx = -3

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Q: Use the triple integral to find the volume of the given solid. The solid enclosed by the paraboloid…

A: Use the triple integral to find the volume of the given solid. The solid enclosed by the paraboloidx…

Q: 1 Find the sum of the following convergent series: > L n? – 3n + 2 - n=3

A:

Q: Find and d²y then simplify whenever possible. dx dx² 1) у %3D 3t5 — 2t x = 4t3 2) y = t-3 – 7 x = t²…

A: As per the request of student 4th and 5th answer has been provided. This question can be solved…

Q: 1. y - x+ 4x - 5 S) - x - 3x 3. sC) - x'+ x- 4x'+ 3 4. Sketch the graph and find the relative…

A: Solution of the problem as follows

Q: Evaluate the integral cos x 1- sin z dx .

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Q: I 3n O The region bounded by y = sin x and x- axis on the interval [-

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Q: Given the differential equation xy y'=2 and the initial condition y(a) =3, what is the the value of…

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Q: What are all the cube roots of -1 in the complex plane? Mutiple choice options: 1 -1 e(5π / 3 i)…

A: Given problem:- What are all the cube roots of -1 in the complex plane?   Mutiple choice options:…

Q: ( 3x2 + 1, { if r 3 а. —8 b. -18 с. 18 d. does not exist

A:

Q: Find Duf at P. 1 1 f (x, y) = 5(4+ xy)3/2; P(3,4); i+ j и %3 V2 NOTE: Enter the exact answer. Duf =

A: