Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y  

Q: n=0 n!

A: This is series problem

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers (a) E (c) E(...

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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x*x +...

A: Let's find. 

Q: E. y = xArctanx - In V1+x

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Q: (а) f(«) — У9-г2 (b) f(г) — Vz? — х — 6 V9-x² r-1

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Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b) ...

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Q: Using f (x) = In(3 – 2x), find the value of L and calculate the radius of convergence of the series....

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Q: is differentiable at r 2. 2. (a) Using the definition of derivative, compute for the slope of the li...

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Q: 2ce2x Curves y = 1+ce2x

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Q: 1. Find the differential equation for the family of: 1. Circles passing through the origin with cent...

A: Topic:- application of derivatives  Note :- as per our guideline if more than one question uploaded ...

Q: 12 + csc 0 [sin 0 + csc 0]d0

A: Given I=∫12+cscθ(sinθ+cscθdθ To evaluate the integral I

Q: (2 cos 3w – sec 3w tan 3w)dw

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Q: If x? + y? = 100 and dy 8, find dt dx when y = 6. (Enter your answers as a comma-separated list.) dt...

A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate w....

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the ...

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Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: To find out the vertical and horizontal asymptote. 

Q: 5xyz dv, where T is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), and (1, 0, ...

A: We need to find volume.

Q: Find the absolute maximum and minimum values of f(r, y) = r-3r-y+12y, closed region D, where D is th...

A: Given problem:-  Find the absolute maximum and minimum values of f(x, y) = x²-3x-y³+12y, on the clos...

Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the x-...

A: Let's find. 

Q: Given the function f(x) = +x° + x° + 2%x*, find all x-values where f has an inflection point. 6. Ans...

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Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

Q: From Rogawski ET 2e section 8.1, exercise 9. Calculate the arc length of y = - x - In x over the int...

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Q: (a) f(x)= Jx-6 (b) g(x)= /7-x (c) h(x)=V1-x²

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: (b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line ...

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Q: The half-life of cesium-137 is 30 years. Suppose we have a 130 mg sample. (a) Find the mass (in mg) ...

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Q: 8. Find the longest and the shortest distances from (1, -2) to r? + 2y? = 1. 9. Try to solve problem...

A: Distance formula=Sqrt{(x-x1)^2 +(y-y1)^2} The Lagrange method of multipliers is  F(x,y)=f(x,y)+lamda...

Q: I Eliminate the arbitrary constants -2x 2X Y = C,e cos 2× + Ge sin 3X

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Q: 3. Let p = 31. Evaluate L3(24).

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Q: ーズ 10. S- ex

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Q: A cancer tissue is in the shape of a sphere whose radius is increasing at the rate of 2 mm per day. ...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Derivative of Trigonometric Functions Determine the derivative of the ff. functions 8. у %3D 5x4 - 6...

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Q: Find the area of the surface obtained by rotating the curve y : sin x from x = 0 to x = 1.4 about th...

A: Given region bounded by y= sinx  from x=0 to x=1.4 

Q: For each problem, use implicit differentiation d in terms of x and y. dx 1. 2x3 2y2 + 5 2. 3x2 + 3y2...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: +00 (-1)" n! n=1 O convergent O divergent

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Q: 9 y = Arctan(+x, 1- 2x

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Q: Evaluate the given integrals. Seš (6 – e) dx -1 3. es (6

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Q: Let f be a differentiable function such that f(+5) =-9 and f'(x) = 2x + 8. What is the approximation...

A: Given query is to find the value of f(-4.9).

Q: The position of a car traveling along a highway is given by the function s(t) = 21* - 61-612 + 3 whe...

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Q: Find the solution of y" +10y +25y = 49 e with y(0) 8 and y' (0) = 5.

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Q: Write an equation for the line through center a circle (x2 + y2 + 4x+6y = 3) which make an angle) wi...

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Q: 16. | (ez/a – e-xla)dx. n/3 sec 0 tan 0 do. Vesec e 17.

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Q: dy Find where y = sec-' (V3x³). dx

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Q: Differentiate: -X=COS y O a. -sin y O b. -1/sin y O c. cSc y O d. secy

A: Topic:- derivative

Q: 4. у %3D 2/5 seс (10х2 - 7) 5. у %3D -10 csc (2x3 + 6) 6. у %3D 6x2 tan 10x

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Q: +o0 E(-1)" n=2 n?

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Q: If the power of the cosine is odd and positive Convert the remaining factors into cosines Convert th...

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Q: determine whether the sequence {√ n+2 - √ n+1} is convergent or divergent

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Q: 3 Calculate the arc length of y = x? over the interval [1,5].

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