du Compute f ) CSC X If u = f(x), then dx sin x - cos x %3D B 1 -1

Q: When the linear differential equation is multiplied by an integrating factor the equation will becom...

A: Answer of given question is written in below steps.

Q: Q2) Show that y = 35 x* – 30 x² + 3 satisfies ( 1– x² )y" – 2xy' + 20y = 0 %3D

A:

Q: Jse the binomial series to find the Maclaurin series for the funct 1 f(x) (1 + x)³ %3D (x) =

A: Given: f(x)=11+x3

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: 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: cot 2x J Vcot 2x – 15

A: Given,           ∫cot2xcot22x-15dx

Q: Question 20 csc x du 3T If u = f(x), then dx = Compute f и sin x – cos x A B 1 D -1

A: We have to solve our question

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: (-4x-12) dx (x+10) (x-4)- For F()- 1. What is F(3)? %3D

A: Option A

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: Question 2 If S(16x4 – 16x³ + 4x²)dx = F(x) + C, then F(x) 16 A 5 4 x3+4x4 3 B (4x² – 2x) 3 16 4 x3 ...

A: The given integral is 16x4-16x3+4x2.

Q: Eliminate the parameter to find a Cartesian equation of the curve. 1 x(0) -cos 0 20 y(0) = 4 cos(20)...

A: (a)To determine: The cartesian equation by eliminating the parameter. (b) Range of x-values, express...

Q: If the solution to ſe2* sec²(e²×+1)dx is equal to k tan(e2x+1) + C , find the exact value of k.

A: We know, ∫sec2(x)dx=tan(x) ddxemx=memx

Q: 1 (ke)3x For ſ k*e3*dx = + C. If u = 3x, then k =? 3 (1–In 2-1)

A:

Q: Ifu = f(x), then CSCX Compute / 2). 3m dx = sin x- cosx 1. 2.

A:

Q: EXERCISES O soke the follwing linear syskems of equations: 4x -Ry +3z = -2 2x +2y + Sz = l5 8x-Sy-22...

A:

Q: EXERCISES 1. What value(s) of c, if any, will satisfy the IVT for the given function f and the given...

A: topic - intermediate value theorem

Q: -1)k+12 11 17.-(6k – 7) Use the formula for the binomial series: (1+ x)" = m(m-1)2 t … + m(m-1)(m-k+...

A: Here, the given function is: f(x)=1+66 And, the given binomial expansion is: (1+x)m=1+mx+m(m-1)2!x2+...

Q: (-4x-12) dx For f (x+10)3(x-4)3 F(x) – 1. What is F(3)?

A:

Q: What is the slope of the TANGENT LINE to the given curve 1 y = x + at point where x.= -2

A: Slope of tangent is    m=dydxdydx=1-1x2

Q: -1 sinx dx %3D

A: ∫01/2arcsin(x) dxIntgerate by parts ∫fg=fg=∫f'gf=arcsin(x), g'=1f'=11-x2,g=x=xarcsin(x)-∫x1-x2dxSubs...

Q: Find The artlal Auatives (first and Seond

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: A man starts walking north at 6 ft/s from a point P. Five minutes later a woman starts walking south...

A:

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

A:

Q: Express the repeating decimal as a fraction. 0.451141 41 41.

A: Given data

Q: I. Identify the elements for the following set expressions given the sets below: (Explain your answe...

A:

Q: Question 16 Determine f(x) so that | cos(In?x) f (x) dx = sin(In²x) + C ... 2ln(x) A) In(x) B 2In(x)...

A:

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: Use the difference an+1 an to show that the sequence {n – 8"} +oo In=1 is strictly increasing or str...

A: The sequence{n-8n}n=1∞

Q: Find the derivative of the function. f(z) = Vī – 8V7 f (x) 12r – 83x23

A:

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

A: topic - differential equations

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

A:

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: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A:

Q: 1. If x - y = 25, then y" = c.) d.) - a.) b.) 2. If y = cos(3x+1), find y a.) 3 sin(3x+1) b.) -3 sin...

A: Authoring guideline: As per the authoring guidelines, we can solve only the first three parts. Repos...

Q: For ſ k*e3* dx = 1 (ke)3x 3 (1–In 2-1) + C. If u = 3x, then k =?

A:

Q: 3. When the linear differential equation is multiplied by become an an integrating factor the equati...

A: We have to fill on the blanks. 

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

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: What is the value of 7/2 x(3 cos(x) + sin(x))dx ? 7/2 Give your answer as an integer or as a decimal...

A: Given I=∫-π2π2x(3cos(x)+sin(x)) dx To evaluate the Integral I :

Q: n exponential function y= f(). (2,8.64) Preview 1.2

A: We know that,Exponential function is of form y=abt. and here by using graph it is clear that , graph...

Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

Q: Find the derivative of f(x) = sec(tan(x) + cot(x))

A:

Q: Find the derivative of the following functions using the limit definition.  1. z =7y2- 11/y 2. f(z...

A: From limit definition of derivative we know, f'(z)=limh→0f(z+h)-f(z)hand f''(z)=limh→0f'(z+h)-f'(z)h

Q: Factor out the GCF in the following expressions. 1. 2x - 8 6. Зx? - 9х 7. 5x + 3x 8. 12x - 8

A: according to our guidelines we can answer only three subparts and rest can be reposted

Q: Solve using the U-Technique Question 8 Given: S . There is a function f (x) such that when u = -x³, ...

A: Given: ∫2f(x)dxe-x3   , u=-x3

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 ...

A:

Q: Determine the following equation if it is Homogeneous IVP, First, second, higher order equations and...

A:

Q: 2:(y –x² }tx+ dy =0 1.

A:

Q: obtain the Maclaurin series for V1+x.

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