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

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

A:

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

A:

Q: graph the folloring f un Ction %3D

A:

Q: find asymo tote s of the following cerves then graph them X-1 X?(X-2)

A: Solution: f(x)=x-1x2(x-2) vertical asymptotes Take the denominator and compare it to 0

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: 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: 13. The population of a northern Michigan town was 4,500 people in 2010 and 7,200 people in 2015. a)...

A: Given: Population in 2010 = 4500 and Population in 2015 = 7200 (a) Write a function of the form P(t)...

Q: Use inductive reasoning to predict the most probable next number in the given sequence: 1, 7, 17, 31...

A:

Q: obtain the Maclaurin series for V1+x.

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

Q: Select all vectors parallel to the vector (1, –3, 5). O (2, –6, 10) O(-1,3,6) - 15 ? 5 )

A:

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: Is the function given oy 5x-4x-5, メ<5 x-5 2. Fx)=/ メ+1,×25 Cantinucus atX =52 why cir why not Z

A:

Q: S(z) = 64 –3 V/

A: f(x) =x964-x3We can rewrite the function as;f(x) = x9  164-x3f(x)=x9 (1641-x364)a=164,  r=x364   (Ge...

Q: Solve the differential equation y'- xe"+y = 0

A: Given query is to find the solution of differential equation.

Q: dx 2. The linear differential equation dy r = y' has the integrating factor equal to_ 3. When the li...

A: To answer questions 2 and 4 related to the first-order differential equation. The standard form of t...

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A: For person A , we need not to check drink or I'd as we know that it is soft drink that is allowed fo...

Q: Solve the boundary-value problem, if possible. (Assume the independent variable is x. If there is no...

A:

Q: 8 구 6 5 4 10 -9 -8 -7 -6 -5 -4 -3 -2 2 -4 -6- -10- Find the parametric equations for the graph shown...

A:

Q: dy/dx = 8y-1 a, Solve with separation of variables method b, Solve by integrating factor method c...

A: topic -  differential equation

Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 2y + 3, 0 ...

A:

Q: An+1 to determine if the sequence An is strictly increasing or strictly decreasing. Use the ratio 5n...

A:

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: Compute the work required to stretch a spring from equilibrium to 8 cm past equilibrium, assuming th...

A:

Q: Given the curve in rectangular coordinates x² + 4x + y? – 8y = – 11 Find the parametric equations gi...

A: parametric equation of circle

Q: Find the solution of the following Differential Equations 2) (xdy- ydx)/x 0 4) 2x In(y)dx+ y'r dy 0 ...

A:

Q: Use the formula for the binomial series: (1 + x)" = т(т-1) 2 2! m(m–1).-(m-k+I),k + + 1+ mx + %3D .....

A: The maclaurin series for 1+x7

Q: What is the value of rez+1 ? 1+e-z df (0), where f(r) = dz Give your answer as an integer or as a de...

A:

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: The given series is: ∑k=1∞k!k8 Let, ak=k!k8; k≥1

Q: 15 10 -6 -5 -4 -2 12 3 4 5 6 -5 10 -15 Determine the equation of the polynomial, f(2), of minimum de...

A:

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

A:

Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration 

Q: 4 + sin(n) n2 00

A: The given series,         ∑n=1∞4+sin(n)n2

Q: Consider the following sequence: (a,) = {n – n²} n-1 Use an+1 - an to show that the given sequence (...

A:

Q: The angle of rotation is 18.485 of the conic section with equation Ax-Bxy +Cy 4, if A- C- 20 and B+ ...

A: Angel of rotation

Q: Find the derivative of the trigonometric function. (e) = t° sin(e) f '(t) =

A: if f(x) and g(x) are both differentiable functions, then product rule of differentiation tells:     ...

Q: Sue wants to build an enclosed area behind her house for her pets. One wall of the enclosed area wil...

A: area of rectangle 

Q: Find the unit vector of A=3ax+2ay-3az

A:

Q: 48. h'(x) if h(x) 2+9

A: Here, the given function is: h(x)=e2xx2+9 To find the first derivative of h(x), using the quotient r...

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given :(2-7), (3-8), (4-9)

Q: dx 6. Evaluate 5-16r

A: Evaluate ∫dxx83-16x2

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 9ke-k k = 1 Identify ...

A:

Q: æ(t) 6 y(t) = et + 11 (a) Cartesian Equation, be sure to express your answer as an equation: (b) Ran...

A: Given query is to find the value equation I'm Cartesian form.

Q: Compute the work required to stretch a spring from 7 to 13 cm past equilibrium, assuming that the sp...

A: Given query is to find the the work required.

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

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Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

A: The given differential equation,1. 2ydx=3xdy, when x=2, y=1 Note:     Multiple questions are given, ...

Q: HX)= 2 X-7 g6x)=-8x-5

A: Note: (f+g) (x) = f(x) + g(x)

Q: Suppose x = 6, 0 = 4 radians and ø 8 radians in the figure, which is not drawn to scale. Determine t...

A: x =6 θ = π/4 so apply trigonometric function tanθ = y/x y = xtan(π/4) y = x y =6 for right angle tri...

Q: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23

A:

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

A:

Q: 2. Evaluate [log(-1-/)(-2- j2)] tan(4 + 3i) cosh-1

A: