Consider the integral arctan(x)dx where -Is. a

Q: 2. Find the slope of the curve y? = 3x 1 at the point (-0). Draw the graph of !! the curve.

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Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: 27 ........ -1 ...

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Q: 28 V14

A: 28√14 

Q: solve the differential equation: y(2xy+1)dx+x(1+2xy-x3y3)dy=o

A: Given diffrancial equation y2xy+1dx+x1+2xy-x3y3dy=0Solution :y2xy+1dx+x1+2xy-x3y3dy=02xy2dx+ydx+xdy+...

Q: 4ー npaメ lim メ-2

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Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

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Q: 22+4x-5 Find the derivative: y = (3a2+1)4

A: Given Find derivative of y=x2+4x-53x2+14

Q: Question Select your answer. Given the graph of f(x) below, determine lim f(z). does not exist -302 ...

A: Topic:- limits  Note:- as per our guideline if more than one question uploaded than only first quest...

Q: Question Select your answer. 1 if r 4 4 16 does not exist 2 Answer

A: Topic = Limits

Q: Find the exact value of the following trigonometric expression: cot y- csc y = Basic Funcs Trig

A: We can find the answer as below.  

Q: Consider the graph of the function y = 4 - 5". Find the equation of the line tangent to the graph of...

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Q: 1. Write the first five terms of the sequence п а) а — 3" п b) а, = sin п c) a̟ = (- 1)'(÷) (– 1)***...

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Q: What is the derivative of 0.50 sin 2t+0.30 cos t

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Q: (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if there is no ma...

A: Topic:- application of derivatives

Q: Question Select your answer. What is lim h() in the graph below? 1 -2 Answer 2.

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: The least squares equation, y= 18.9476+1.1842x. If y= 66.3156, what is the value of x? *

A: On solving this we will get

Q: Mrs. Decker's Diamond Dotz class has twenty-four students. If 30% of the class finishes their projec...

A: Given:   Class has 24 only    Classs finsihed = 30%  

Q: Find the following limits i 1. 8x lim x>+* 5x – 7

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Q: Find the position function s(t) for the given acceleration function and conditions: a(t) = −2t+7, s(...

A: The acceleration function,a(t)=-2t+7, s(1)=8, v(2)=-3

Q: 3. Determine the divergence or convergence of the series 00 a) Σ (1.075)" п n=0 4n+1 b) E Зп-1 n=1 c...

A: NOTE: Refresh your page if you can't see any equations. . here the sequence is  compare this serie...

Q: cot e tan e cot?0 O cot?e tan?e 01

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Q: [f(x)]", where n is a Recall the general power rule, which states that if the function f is differen...

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Q: Find the minimum value of the function f (x, y) = 16x² + 81y? subject to the constraint xy = 1.

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Q: Determine all the partial derivatives of f(x,y, z) = y² In(x + 2y) – In(3z) (x³ + y? – 4z) Determine...

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Q: Given: sin a= and A is in the second quadrant; evaluate the following expression. %3D sin 20

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Q: f(x)=ax^2+b, f(4)=−3 and f′(4)=5, find the coefficients a and b. a= b=

A: Given query is to find the value of a and b.

Q: 以一 3-Va

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Q: Find a linear differential operator (of lowest order) that annihilates the given functions: o f(x) =...

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Q: Select all that apply. Solve the following equation; domain 0o sx< 360 3 cot x = V3 120 300 60 240

A: Given query is to find the value of x.

Q: A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second...

A: We have to find quantity of each solution in liters.  

Q: 10. J(3x3 — 5х + sin3x) dx -

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Q: 1 Simplify (129 + 121 + i) (i2021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 3 lim f(r) エーC lim g(r) 12, and lim h(r) = -3. エーHe エー Compute the following limits: a. lim(-4 f(r))...

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Q: Select all that apply. Solve the following equation; domain 0° sx< 360°; sin?x - 7 sin x = 0 O 90 18...

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Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: Solve dy Зу - 4х dx x-y – 2x = C 2x* + x-3 y = C 4 x-3y – 2x-2 = C 2x2 + xy = C -3

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Q: What is the second derivative of f(x)=x^2lnx

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Q: V3 tan A = 1 M 30 150

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Q: Create a question covering inverse of a  functions

A: We have to find inverse function

Q: a. f(x)=eX+_11 1+x2 F(x)= b. r(t)=t(12t+8) R(t)= c. h(m)=2mª+4m3-m m3 where m>0 H(m)= d. s(y)=2Y+4si...

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Q: Simplify (129 + 121 + i) (12021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: We will evaluate this integral as shown below

Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg dec...

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at 12c...

Q: ITEMS: Evaluate the following integrals. 1. / e* cos(2x) dx

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Q: 10. lim Ve+ 2-2

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Q: Given the functions below, find B. (P +Q+R+M+ N) u= 4- Vw +1 du Pw + Qw +3+R/w? +1 u" or dw 9u" (w +...

A: I am attaching image so that you understand each and every step.

Q: 1. dx てナメてナて

A: We have to evaluate the integral

Q: Find the maximum of f(x, y) = 2x + 2y – x²-} - xy on the square, 0 s xs a,0sysa, a = 3. Edge a0 - Bd...

A: In order to find the critical point first we need to partially differentiate with  respect to 'x' an...

Q: 1. Verify that the infinite series diverges п a) E (2) 6 n=0 п b) E п+1 n=1

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