csc (tan 2y-1)cy 5. cos* 2y

Q: Let f(z) = 5 - 51. Then the expression f(z + h) – f(z) h can be written in the form (VBz + Ch) + (z)...

A: We have to find A ,B , C and f'(1) , f'(2), f'(3) and lim  h→0  fx+h-fxh Given fx=5-5x

Q: Question 8 Let f (x) and g(x) be antiderivative of h (x), The which of the following is true? d A -(...

A: Given problem:-

Q: Calculate y', y" and y" for y = . [Hint: y= r-le", product rule, several times.] use

A: Topic  - differentiation by parts 

Q: f(x)=3x³ - 3x + 2

A: Solution

Q: ²-5x 6 44. f(x)

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Q: Four coins are tossed. Let Y be the random variable representing the number of tails that occur. fin...

A: Given four coins are tossed. So the sample space={HHHH,HHHT,HHTT,HTTT,TTTT,HHTH,HTHH,THHH,TTTH,TTHH,...

Q: What are the roots of the auxiliary equation corresponding to the DE y(4)+3y"+6y"+5y'+3y = 0? %3! Wh...

A: This is problem related to differential equation. Here first we will replace the differential operat...

Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, у) %3 ху — 2х — 2...

A: Suppose that x, y=a, b is a critical point of fx, y,and Dx, y=∂2f∂ x2∂2f∂ y2-∂2f∂ x∂ y2. Then, If Da...

Q: y = [x+ (x + ¯ sin² 3x)°]

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Q: Find the solution of the given initial value problem. 3 y = t Cos t t-3 y(T) = 0, t>0 y(t) =

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Q: A number of matrices are defined as [A] = |1 2 l5 6] [4 3 71 [B] = |1 2 6 l2 0 4] Perform the follow...

A: Note: Since you have posted a question with multiple sub-parts we will solve the first three subpart...

Q: 4x + 2x + 3. If Ax 0.1 at x = 5, use Let y = linear approximation to estimate Ay Ay 2

A: A detailed solution is given below

Q: Use the table to the right to find the given derivative. 2 3 4 f(x) f'(x) 3 1 4 2 d xf(x)] 2 3 4 dx ...

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = secx, -...

A: To find out the volume of revolution. 

Q: 1. 2y" – 7y" + 12y + 8y

A: Solution

Q: B In Problems 23-62, summarize the pertinent information ob- tained by applying the graphing strateg...

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Q: Evaluate the integral. Do NOT use inverse hyperbolic functions as your final answer. 1 x* + 6х + 7

A: ∫1x2-a2 dx = lnx2-a2+x +C ; where 'C' is an integration constant.

Q: dy = ay + b whose dt Write down a differential equation of the form all other solutions diverge from...

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Q: 22* – 8* - lim x → 0 sinx o In(176.00) O In(2.75) O In(14.00)

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Q: 4. Find the area of the plane z = 4x + y for all (x, y) E R where R is the region in the first quadr...

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Q: zP EVALUATE IN TERMS OF GAMMA FUNCTION. 94

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Q: 8. What is the particular solution of 2xyy' =1+y², when x = 2, y = 3 ? а. у%3D5x -1 C. y =V5x + 2 b....

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Q: 5. Find the differential equation of the family of straight lines with slope 1. с. у -130 d. y' +1=0...

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Q: 18. What is the integrating factor of the differential equation y' =cscx-ycotx ? a. tan x C. sinx b....

A: This is a question related to differential equation. Based on the formula of integrating factor we w...

Q: INTEGRATE THE FOLLOWING FUNCTION. secvtanvdv PROBLEM I: 4 secv +3

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first...

Q: Evaluate. Show all your work- | sin(5.x) cos(8x)dx

A: In this question we have to solve the Integration.

Q: 1 The 2nd degree Taylor polynomial for the function f(x) = In x, xo = 3 is P2(x) = In(3) + ÷(x– 3) +...

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Q: Solve for the particular solution yp of the given differential equation: y" + 3y' + 4y = 4x2 — 2х -

A: Given differential equation, y''+3y'+4y=4x2-2x⇒(D2+3D+4)y=4x2-2x          D≡ddx.............(i)

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 27 dx +C %3D

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Q: A graphing calculator is recommended. (a) If G(x) = 5x2 - x3, find G'(a) and use it to find equation...

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Q: 10. The following equations are exact except a. (2xy – y)dx + (x² – x)dy = 0 b. 2xydx + (y? +x² )dy ...

A: The differential equation of the form Mdx + Ndy=0   is exact  when ∂M∂y=∂N∂x

Q: 3. The sum of two numbers is 18. Four less than half of one number is twice the other number. Find t...

A: 3) Consider two numbers are x and y. Given that , sum of two numbers is 18. Therefore, x+y=18       ...

Q: A parabola having its x axis parallel to the y-axis has its focus at (5,6) and vertex at (5,4). Comp...

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Q: For all of the following questions, assume is in radians. a. Consider the function f(x) = sin(x). i....

A: Topic:- function

Q: 12 ( In xdx 5 a) Find the smallest K such that | f4) (x)| <K for 5 <x< 12. b) Use the part (a) answe...

A: We have to find smallest valur of k and value of n. 

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 00 1 L K...

A: The given series is sum of 1/[k(k+2)] ,k=1 to infinity.

Q: need

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Q: 2.(D³ – 2D³ 2D² – 3D – 2) y = 0

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Q: 4. y" +y = 2xsinx

A: First we will find complimentary function and the perticular function.

Q: 1. For the polynomial function P(x)=x' – 2x² – 33x+10 (a) Describe the end behavior of P. Use notati...

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Q: 17. The integrating factor to the linear differential equation x(x? +1)y' +2y = (x² +1)³is: x2 x? a....

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Q: et sin x – x lim x → 0 3 cos x – 3 - (Us

A: Given: limx→0exsinx-x3cosx-3   We know that; The Product rule: f·g'=f'·g+f·g'

Q: Which of the following differential equation can be solved using separation variables? a. (x-2y)dx +...

A: Topic:- differential equations  

Q: Fad ives Find the derivatives: (a). g(x) = tan(cos(3r)), (b). f(x) = tan (cos(3r)).

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Q: Assume the following : lim f (x) =4 lim g(x) = 10 lim h(x) = -3 %3D SHOW YOUR SOLUTION 1.lim (7 · f ...

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Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: z+2 dz I cot (z?+4z-3)

A: ∫z+2cot(z2+4z-3)dzSubstitute u=z2+4z-3→dudz=2z+4→dz=12z+4du=12∫1cot(u)duWe know that cot(x)=cos(x)si...

Q: A point starts at (x, y) = (4.8, 0) and moves CCW along a circular path centered at (x, y) = (0, 0)....

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Q: a. (2xy – y)dx+ (x² – x)dy = 0 b. 2xydx + (y? + x? )dy = 0 c. 3y(x? – 1)dx - (x° +8y – 3x)dy = 0 d. ...

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Q: What is the integrating factor to (2y2 + 3xy – 2y +6x) dx + x (x + 2y – 1) dy = 0, to make it an exa...

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