x dx 1o. 8 x-X

Q: lim (1+)* X→00

A:

Q: Solution: Here * = Sin x The graph is Ine Shadded negion find i The required of we have to the area…

A: Let's find  area of given curves y=e^x from x=0 to x=1.

Q: A manufacturer needs to make a cylindrical can that will hold 1.5 liters of liquid. Determine the…

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Q: nd 4 and using L'Hôpttal's Rule.

A:

Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

A:

Q: -4x Calculate the following integral Je dæ by using a substitution O - 0.25e^(-4x) + C O 0.25…

A: ∫ e-4xdx

Q: In da V3+(In a) Evaluate: A. V5 - V2 B. V1+ e2 - 1+e C. V3+ ve D. V7– 2 E. NO correct choices.

A:

Q: A spring has a natural length of 15 inches. A force of 10 Ibs. is required to keep it stretched 5…

A: for F = 10 , x = 5

Q: ind the maximum product of two positive numbers given that the sum of the umber and twice the second…

A: Please refer to the image below

Q: Find the first derivative of y = ( ex – e –x ) / (ex + e –x ) and y = ln [ x + √ (x2 + 1) ]…

A: y = ex-e-xex+e-x,Differentiate w.r.t.'x'Apply the Quotient…

Q: 4t + 98.6, where T is the temperature, in degrees Fahrenheit, at time t, in hours. 2+1 AT(t) 102+…

A:

Q: . Evaluate the following: (ey)dy dx A. e -1 2. В e-1 С. 2е +7 D.

A: Given query is to fins the value of the integral.

Q: 11. Given the functions: g(x) = tn(4 – x) and h(x) = 4 – x² find and simplify the following: (a) h(x…

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Q: Solve 8 cos(2a) = 8 sin (a) + 3 for all solutions 0 < a < 2t Give your answers accurate to at least…

A: The given equation,8cos2α=8sin2α+3

Q: What is the period and domain of the function y=tan(x)? A T and{xER|x m 2 (2k+ 1) , k is an integer…

A: The given function y=tanx

Q: 5. A small metal bar, whose initial temperature is 20°C, is dropped into a container of boiling…

A: According to newton law of cooling: dTdt=-k(T−Ta​)  Where T is the Temperature of the body and Ta is…

Q: Find the derivative. 8) y =V4x +2 dy dxN4x + 2 =N4x + 2 A) dy В) dx 4 1 N4x + 2 dy C) dx dy D) dx 8…

A: SOLUTION-

Q: 4. csc 2x lx

A: The integration of the integral is csc3(2x).

Q: Find the critical points of the function x -8x2 О 0,2, -2 O 0, 1 О 1,2, 3 this function does not…

A: Solution: Let f(x) = x4 - 8x2 find where f'(x) is equal to zero or undefined  f'(x) = 4x3 - 16x

Q: In x2 lim

A:

Q: A ladder of length 15 meters is leaning against the side of a building. The foot of the ladder is…

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Q: Use Integration by Algebraic Substitution 3 dx x +1

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Q: Find each limit, If it exists. 6- 4x (a) lim 6x - 7 4x (b) lim * 6x-7 () lim 6x 6-4x2 %3D Submit…

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Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use m or -co, enter…

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Q: Calculate the following limit using L"Hopital's rule: e* –1-x lim(z→0) O 1/2 O 1 O - 1/2

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Q: 9. The general solution of y" + y = cos? x

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Q: 8. Given the following functions of one variable: (a) f(x) x+ x* + 2 (b) f(x) = (2x + 1) (x- 4)…

A:

Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: We have to find the area.

Q: Determine whether the SEQUENCE converges or diverges. If it converges, find the limit: 3x n+4n-V5…

A: If the limit of the sequences is finite then it is convergent.

Q: 1. Determine whether the series En=1 2n4+1 is convergent and explain why.

A: We have to find the convergent As per guideline we have to solve one question Please repost other…

Q: 2. Solve: 5 In(2x – 3) = 10 algebraically. First find the exact answer (no decimals or rounding,…

A: We have to find the exact answer and decimal approximation of given equation

Q: COs x sin z Determine ôy/dz -sinx/sinz sinx/sinz -sinz/sinx sinz/sinx None of the choices నా

A: Determining the partial derivative

Q: Which of the following is undefined? A sec(1710°) B tan(4260°) © cot(2890") D csc(3250")

A:

Q: 4. Solve 5x3 - 3x2 – 32x – 12 = 0

A: We have to solve the equation

Q: (28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

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Q: d (32) Find the derivative: dx rcos(r) V1- t?dt

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Q: dy Use implicit differentiation to find for y' dx +2xy – x' = cos3y

A: Given:         y3+2xy-x5=cos3y Implicit differentiation:    differentiating on both sides with…

Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

A:

Q: (y®+ 4y³-Ay) dy y2+10 6. ,3.

A: LetI=∫y5+4y3-4yy2+10dyI=∫y5y2+10+4y3y2+10+-4yy2+10dyI=∫y5y2+10dy+∫4y3y2+10dy-∫4yy2+10dyTake constant…

Q: Find the second derivative of the function. f(x) = 7x3/2 f "(x) =

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Q: dy for y=In (x² +1}+ (sin x +5)*. Find dx

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Q: Consider the following function. f(x) = (11 - x)(x + 1)2 (a) Find the critical numbers of f. (Enter…

A: Here we have to find the realtive extremum.

Q: Evaluate: x tan x dx 3 A. – In /2 – 4 32 B. -1- 4 32 V3m _ In 2 – 5 3 18 D. NO correct choices. C.

A:

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Force applied F=20N Natural length=2m COmpression Length=0.5 m Total compression =∆x=l0-l…

Q: Find the average value of æ on the interval 0, 4| O 16 O 64

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Q: You are conducting a multinomial Chi-Square Goodness of Fit hypothesis test for the claim that the 4…

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Q: 13п What is the exact value of sin-(x) if x =cot 4 A 4 B 4 D 티2

A: Option (c) π2

Q: Evaluate: sin 6x sin 3a da A. 0 в. - В. 2 C. - :- С. 2 D.

A: SOLUTION-

Q: Find the length and direction (when defined) of u xv and vxu. u= 3i, v=5j The length of uxv is (Type…

A:

Q: D. Define the multiplication operation * as modulo 10 in G = {1, 3, 5, 7,}. Cr table for this.…

A: Topic:- algebra