cos x dx Vsinx

Q: Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2,...

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Q: sin( - B) = V2 (cosB - sinB) 2 (sinB- cosB) O 2 (cosB + sinB)

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Q: Integration by parts. | xcot?x dx

A: Please refer to the image below

Q: Find dy by implicit differentiation and evaluate it at the given point. dr tan (9x + 5y) = x, (0,0) ...

A: We know that; The chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxtanx=sec2x   Given: ta...

Q: For the next six questions, consider the differential equation: y" + 4y = g(x), 9(r) 0 Determine the...

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Q: 11T find the reference angle 0'. Give only exact answers, and type pi for 7 if needed. Do NOT 3 If 0...

A: Topic:- trigonometry   

Q: Assume that f(x) = x. Evaluate a. lim f(r). f. lim (f(r)) – f(x)). b. lim エ→4 () g. lim (f(r)* +(f(r...

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Q: Find a formula for the graph in terms of f (x) = sin x or g(x) 10 = COS X. NOTE: Eter your answer in...

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Q: Since January 1, 1960, the population of Slim Chance has been described by the formula P=37000(0.93)...

A: The objective is to find the rate at which the population changing on January 1, 1991.

Q: dx Using trig sub, find - By the rules, Vu2 + a² x/(x³)²+1 can be used where u=a tan0. What should b...

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Q: The deviation of each observation (y) from the mean of the response variable is positive for every p...

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Q: tanxcosx =

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Q: Prove the following identities. sin 3x v 3 sin x - 4 sin cSC X - 2 sin 3 sec x - 4 sin

A: Given query is to prove the identity.

Q: 13. Find the solution set of e) 2x? – 3x – 4|<5

A: Given query is to find the solution of the expression.

Q: The equation of the tangent line to the graph of f(x)=ln(x) at x=e^−1 is given by y=mx+b for m =  ...

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Q: 4. Vic and Joey argue about the limit of the function f(x)=1/x as x approaches 0. Joey's opinion is ...

A: Claim of Vic is correct, because as per the definition of limit  By evaluating the left hand limit w...

Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

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Q: 2x Use substitution to evaluate the integral dx (x² + 3)°

A: We have to apply rules of integration to solve the problem Power rule: xn =( 1/n+1)(x)n-1

Q: 2xyy'=1+y^2 solve using separation of variable (diff eq) when y=3 and x=2

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Q: sin° x Vcos x

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Q: Here is a graph of the function f. Español Use the graph to find the following. If there is more tha...

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Q: DETAILS LARAPCALC10 2.2.014. Find the derivative of the function. g(x) = 4x² + 8x³ %3D

A: Given query is to find the derivative of the expression.

Q: y In(x) ln(y)dx + dy

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = -2 x-intercept...

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Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: following

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 2. lim 5" 4. lim cosr 7...

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Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr...

A: We have to find out degree

Q: 3 т2 dm )2 т3-2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute ...........

Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time....

A: This question can be solved by applying the concept of rate of change of quantities.

Q: Given: y = cos 2ax + 5. find dy.

A: Option 1 is the solution Given,  y=cos(2ax)+5 dydx=ddxcos(2ax)+5      =ddxcos(2ax)+ddx5 dydx=-sin(2a...

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: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

A: Here, the given relation between Y and X is negative that is as X increases Y decreases. One of the ...

Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: Prove the following identities. cos( - ) sin x/2 sin x sec x/2

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Q: Select all that apply. Solve the following equation; domain 0° g x< 3600; 4 sin?e = 1 M 30 210 V 330...

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Q: //welro) Find a local linear approximation for the function 5х + 6 f(x) valid for x near 5 5x + 6 An...

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Q: Vx dx 1+ Vx

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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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: 1. Evaluate the following limits. x+ Vr - 3r а. lim Vr4 + 3x

A: We have to find limit

Q: Question Select your answer. A certain radioactive element decays according to the 39.60 formula R(t...

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Q: One leg of a right triangle is 6 inches longer than the other leg. How long should the shorter leg b...

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Q: (y+ /x²ty? )dx- X dy = 0

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Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: Use the difference an+1 - an to show that the sequence {n – 9"t0 Sn=1 is strictly increasing or stri...

A: Topic   Function decreasing and increasing  Given function is strictly decreasing.     

Q: cos² x d.x 4 sin* x 2.

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Q: sec(Vx) tan(Vx) 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...