A Plane flies 320km due West and then 240km due North. W- ►E 320 km 240 km

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: Find the domain of the function H(x) = 2x +3/x3-4x Solve the following (i) |10 - 3x | 13.

A: The given function,  H(x)=2x+3x3-4x Note:    Multiple questions are given, we are answer only one qu...

Q: 9 cos `x sin x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f '(t)=

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Q: I. Evaluate the following function below. 3 2 1. S sin'y ( 2 – 3 cos y )´dy 9 3. S sin'x dx 9 4. J c...

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Q: Evaluate the integral J x cot x² sin(in |sin x²l) dx.

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Q: 5. у'+2у %3D х2

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos? X

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Q: 12 1. Given that sine and 0 < 0 <", find sin(20) and cos(20) 13'

A: We know in the first quadrant that is 0&lt;θ&lt;π2 both sin and cos take positive values. cos(θ)=±1-...

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

A: Find your answer below 

Q: Solve the initial value problem. dy + 5xy = 8x, y(0) = - 6 dx y =

A: topic - differential equations

Q: 26. If tan(0+ a) = 2 and if tan a = -3, what is tan 0? A) -1 B) C) 2 D) 1

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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: 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: 1. Evaluate (3260)"]" × (-5+ j6) (cos(3 + j5)]1-/) Sin sin-

A: We have to find: sin-13∠60°3*×-5+j61jcos3+j51-j. We will find the interior parts first on different ...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: In this question we have to find the value of the series and whether the series is converges of dive...

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

A: Given  y=csct and x=sec-1t  

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate (in cm²/s) is the area of the ...

A: We know that the area of the square is: A=b2 Where; b is the side of the square.   The Power law: d...

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

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Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: Find the exact value of the expression. cos(tan-1() 35

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Q: x² + y? = r2 O y = - y' = - y

A: topic - differential equation

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: 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 f(z) = 2z4 − 4z2 . Find ...

A: f''(z) derivative of the function  f(z) = 2z4 − 4z2  using the limit definition

Q: 2. Find the imit lifany) メー5 X-25 lim X25

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Q: Let u = 10TX. The differential of u with respect to x is du = 1072 20 7 Step 2 Rewrite the integrati...

A: topic - indefinite integral

Q: du The integral S- reduces to S k, where u = f(x) and for some constant k . Compute f(1). e*+1 e +1 ...

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Q: Use sigma notation to write the Maclaurin series for the function 5 In(1+x) Σ

A: To find: The Maclaurin series of the function f(x)=5ln(1+x). Concept used: The Maclaurin series is f...

Q: 1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du . I tan(f(x))

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Q: Find the derivative of the trigonometric function. f(t) = t° sin(t) f (t) = -1

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

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 (-1)k+1 k8/...

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Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

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

A: Given:     Maclaurin series for 1+x18  Formula for binomial series:      1+xm=1+mx+mm-12!x2+...+mm-1...

Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

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

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

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Q: Evaluate the following differential equations by method of variable separable. Show your solution. 1...

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Q: Evaluate the integral. 15e cos(2x) dx +C NOTE: Enter the exact answer.

A: This question is based on indefinite integral.

Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-...

Q: solve using Firs Order Linear Differential Equation

A: Topic:- differential equations

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

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Q: Suppose that f(z) is an entire function and there exists aceR s.t. Re(f(2)) < c for all z. Show that...

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile i...

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Q: 2. Given: a1 16, а4 1024 Find: az =? а. 12 b. 18 с. 36 d. 64

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Q: Find the Taylor polynomials of orders n = 0,1,2, 3, and 4 about x = x0 and then find the nth Taylor ...

A: f(x)=13sin(πx), x0=92

Q: y'+2y = e¯*

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: If g(x) = f'(x) and if g(x) = (cos x – x sin x)e* cos x, then S g(x) tan(f (x))dx is

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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: obtain the Maclaurin series for V1+x.

A: We need to find the Maclaurin series for 1+x9

Q: In a certain bank account, after 10 months, the amount of money is given by the function S(t) = S0e^...

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