B= 4 7 8. A= 2. Find 1-Matrix C. 3B 2- Matrix D - AB inNN

Q: 2. xdy+(y-xy +2)dx=0

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Q: Solve the given differential equation by separation of variables. (e + 1)?e-Y dx + (e* + 1)Se-* dy =...

A: Given:- (ey +1)2 e-y dx +(ex +1)5 e-x dy=0 To find :- General equation of given differential equatio...

Q: Evaluate the integral. x sec (3x) dx = +C

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Q: Consider the integral 2nx g(x) dx. There is a function g(x) such that when u = In x the resulting in...

A: Given query is to find the value of indicated function.

Q: (x – h)? + y? = r² O y " +(y')² + 1 = 0 O y" +(y')² = 0

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Q: Question 13 Using u-substitution, the integral S f(x)dx reduces to a new integral ſ g(u)du. If g(u) ...

A: Here, given that: ∫f(x) dx=x+ln (x-1)+c...(1)

Q: y - y = 0

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Q: Find the standard (slopc-intcrcept form) cquation of the tangent linc to the following functions at ...

A: find equation of tangent line please like if your problem resolve

Q: Determine whether the series converges. Σ 1 k=1 2k – 1 The series converges. The series diverges.

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Q: Solve using the U-Technique Question 15 Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integ...

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Q: (a) Plot the first four terms of the sequence Зn? - Зп +2 2 (b) (i) Write in bracket notation the se...

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Q: Determine f(x) so that cos(In²x) f (x) dx = sin(In²x) + C

A: Let t =log2 x and follow step 2nd . 

Q: if we let u-4x- 1 for the 2 tan(4x-1)-3 cos (4r-1) dx, what will be the resulting integrand? cos 4x-...

A: The given integral is  (2tan(4x-1)-3cos2(4x-1))/cos(4x-1).

Q: Find the differential equation whose solution is given by: y^2 = 4ax

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Q: 5 Suppose that cos(0) = and 0 < 0<. 13 a. Determine the exact value of sin(0). Enter your answer as ...

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Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t  

Q: Q6) Evaluate the following integral by using Odd and Even Powers Method: y = cos* (;x) dx

A: y=∫cos412x dx

Q: 2:(y-x² )dx+ dy =0 1.

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Q: cot 2x J Tcot22x – 15

A: Given problem:-

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Find the indefinite integral. J. x cos 107Tx2 dx

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Q: A cylindrical tank of radius 20 ft and height 3 ft is two-thirds filled with water. Find the work re...

A: This question can be solved using the concepts of application of integral.

Q: a. When the observer initially spots the ship, the angle of depression for the observer's vision is ...

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Q: Please answer the last 3

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Q: 3. A statue 3 mhigh is standing on a base of 4 mhigh. If an observer's eye is 1.5 mabove the ground,...

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Q: IV. Find the particular solution of each of the following. 1. (2х — Зу + 2)dx - (3x + 4у-5); у(-3) %...

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Q: Find the derivative of the function. (t) = (9t + 14)2/3 6 f '(t) = (9t + ly)1 3

A: Given that        f(t) = (9t + 14)2/3 Here we have to find f'(t) .

Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ().

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Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the ...

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Q: Find the derivative of the following function using the limit definition: z =7y2- 11/x

A: We need to find derivative.

Q: Use sigma notation to write the Taylor series about x = xo for the function. 6 In r; xo = 1

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Q: Verify that the indicated function y = Q(x) is an explicit solution of the given first-order differe...

A: Solution : when y=125-x2y'=-125-x22×-2xy'=2x25-x22y'=2xy2thus in terms of x,2xy2=dydx

Q: Let f dx be given. if u = e* + 1, then the resulting integral is f(u) du. Compute f(3) 2/3

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Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

A: We can solve the given problem by using the Pythagorean theorem and the derivatives.

Q: Consider the expression ſ V4 – x² dx = F(x)+C. The expression %3D F(2) – F(-2) is equal to

A: Here we have to evaluate F(2)-F(-2)=? We have, ∫4-x2dx=F(x)+C

Q: Use the formula for the binomial series: m(m-1)..(m-k+1), (1 + x)" = 1+ mx + m(m-1)2 2! ... m(m-1).....

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Q: Find the solution of the following Differential Equations 1) ydx+ xdy 0 2) (xdy- ydx)/x = 0

A: Find your answer below 

Q: y = cje + c2er

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Q: A statue 3 m high is standing on a base of 4 m high. If an observer's eye is 1.5 m above the ground,...

A: Solution is written in below steps.

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: Given :f(x)=exx0=7

Q: y = Vx – 7 ,(7,0) -

A: Solution is written in below steps.

Q: 3Tt of cSC X du If u = f(x), then dx cos X . Compute %3D 2 sin x и -

A: Given ,  u = f(x) 

Q: general equation in y dx 2. The linear differential equation dy x = y' has the integrating factor eq...

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Q: Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem, and ...

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Q: (2x + dx + 4x*) (x +4x5 Using u-substitution and transformation of the integrand, then the power for...

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Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycot.x)dx=Ois %3D

A: As we know that; The standard form of the first order linear differential equation; dydx+Py=Q Where;...

Q: The standard form of the first order linear differential equation x'y'+ry +2=0is

A: The standard form of a first-order linear differential equation is:

Q: Consider the integral 2n* g(x) dx . There is a function g(x) such that when u = In x the resulting i...

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Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f ():-- 5/7 A 2 5/...

A: topic - functions and indefinite integral

Q: Answer the questions for the function f(x) = - 3x + 3x2 - x a. Find formulas for f' (x) and f'(x). f...

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