The integral J dx reduces to e+1 where u = f(x) and for some constant k.Compute f(1).

Q: a. When Frank initially sees the coyote, the angle of depression for his vision is 6 degrees. Draw a...

A: Frank stands at the top of a cliff. On the ground 310 feet below, frank spots a coyote.

Q: df 1 at the point x 51=f(3). Let f(x) = 5x° - 9x-3, x2 1.5. Find the value of dx df The value of at ...

A: f(x)=5x3-9x2-3, x≥1.5The value of df-1dx at the point x=51=f3

Q: (2х — Зу + 2)dx - (3x + 4у-5); У-3) %3 4 |

A:

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

A:

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: Consider the following sequence: - {) +00 {an} 3n n=1 An+1 -to show that the given sequence {an} is ...

A: Explained below 

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

A:

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

A:

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 problem:- Find the Taylor polynomials of orders n = 0, 1, 2, 3 and 4 about x = x_{0} and then ...

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

A:

Q: INSTRUCTION: USE 7 DECIMAL PLACES The root of the equation is estimated using the point of intersect...

A: To estimate the root using secant method

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

A:

Q: Set up a definite integral with respect to x (dx) (set up only, do not evaluate the integral) to fin...

A: Question: Setup a definite integral with respect to x dx to find the area of the region enclosed by ...

Q: 5. The standard form of the first order linear differential equation dy-(cscx-ycotx)dx=0is

A:

Q: Use sigma notation to write the Taylor series about x = xo for the function. 10 In x; xo = 1 k =

A:

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

A:

Q: Write the first five terms of the sequence: {Vn² + 7n – n} +00 Determine whether the sequence conver...

A: Given: ∑n=0∞n2+7n-n

Q: Find the derivative of the function at Po in the direction of u. x- 5y g(x,y) = Ро(1, - 1), и%3 3і +...

A: To find the derivative of the function  g(x,y)=x-5y5xy+7 at P0(1,-1)in the direction of u=3i+4j=<...

Q: Write the first five terms of the sequence: +oo (11 ln n n n=1 Determine whether the sequence conver...

A:

Q: solve using Firs Order Linear Differential Equation

A: Topic:- differential equations

Q: Obtain the general and particular solution 2. 2ydx = 3xdy

A:

Q: 2. @-2-6X8-マメーメー3メー6時+2

A: f(x,y) = 2x2-3y-4∂f∂x =ddx(2x2-3y-4)∂f∂x=4x∂2f∂y∂x =ddy(∂f∂x)∂2f∂y∂x =ddy(4x)∂2f∂y∂x =0∂2f∂x2 =ddx(∂...

Q: Write the first five terms of the sequence: 11 ln n) +oo Determine whether the sequence converges, a...

A: To write the first five terms of the sequence.11 ln nnn=1+∞To determine whether the sequence converg...

Q: sin S S. cossx (3-2secs)

A:

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

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

Q: = t?y – y + t? – 1, y (0) = 1 dt dy Solve the differential equation

A: Given: dydt=t2y-y+t2-1   We know that; ∫1ax+bdx=1alnax+b+C And The Power rule: ∫xndx=xn+1n+1+C ; n≠-...

Q: 1. Given: az = 12, a3 = 24 Find: ao =? а. 2 b. 4 с. 3 d. 5 2. Given: a, = 16, a, = 1024 Find: a, =? ...

A: 1)  a2=12 , a3=24    Since the terms are in geometric progression    ⇒a3a2=a2a1=a1a0=rconsider a3a2=...

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

A: As we know that the nth order Taylor's polynomials at x=x0 is given by; pn=fx0+x-x011!f'x0+x-x022!f'...

Q: 5. 3xydx + (x2 + y?) = 0

A:

Q: Given f(x)-3X+l evaluate (f'o f(s)) 1-SUEJEC

A: Given: f(x) = 3x+1 For (a), Let y=3x+1.Replace x by y,    x=3y+1⇒y=x-13 So, we get f-1(x)=x-13. Now,...

Q: ew PollCies Current Attempt in Progress Find the general term of the sequence, starting with n = 1, ...

A: Topic:- sequence and series

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: Jse the difference an+1 decreasing. - a, to show that the given sequence {an} is strictly increasing...

A: Let's find. 

Q: xy'= y + 2x'

A: xy' = y + 2x3xy'-y = 2x3Dividing by x;y' -1xy = 2x2 ...(1)Comparing with Bernouli's equation;y'+P(x)...

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

A:

Q: Use the Laplace transform to solve the initial value problem below: b) y" + 3y' + 2 y = f (t) Where ...

A:

Q: .......

A:

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 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: what is the range of h(x,y)=ln(x+y-5)

A:

Q: 1- 8x + 72(-1) (k + 7)! k! k=2

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: 5x4 dx x5-3 S4 cos (-3x + 2) dx [ 4cot 5x csc25x dx

A: You can solve these integral problems by using the method of substitution.

Q: 4. Given: a, = 5, a4 = 13 Find: d =? а. 1 b. 2 с. 3 d. 4

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent (-1)*+1 5k

A:

Q: Evaluate f-4*3 dx In4 b,- -3in4 +C C. In 64 d. none of the above Evaluate f4x cosx dx a. sin x + C b...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

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 ...

A: topic - application of derivatives