(c) f(x) = V5 – x + Vx – 3. %3D

Q: xcosx Q2- Find for y dx x2+4

A: We use logarithmic differentiation

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A:

Q: Use variation of parameters. a. (D^2 − 1)y = e^x + 1

A: Given equation is (D2-1)y=ex+1

Q: 10 What is the value of S" F'(x) dx ?

A: Given,            y=Fx         We know that,        ∫abF'xdx=Fb-Fa

Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: determine L−1[F].

A:

Q: Find d2y/dx2 implicitly in terms of x and y.    x2y − 4x = 5

A: To find the second derivative of y implicitly in terms of x and y.

Q: Y Is the midpolnt of XZ.If XZ 8x-4 and YZ = 3x +1, find x.

A: Given Y is the mid-point of line segment XZ XZ = 8x-4 YZ = 3x+1   to solve the given question use…

Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

A:

Q: write the domain in interval notation.

A:

Q: Q3. Solve dy (x+3) dx S 3x, 0 3.

A:

Q: r/64–x² r61-x²-y² x dz dy dx -67+x²+y²

A:

Q: f (x) = x³ – 23 6x + 1. | e sure to verify the c

A:

Q: If fſ f (x)dx = 8, what would f f(x)dx equal?

A: Given, the definite integral gives result 8. Concept - when the limits of integration is changed…

Q: f(x) = %3D 4 — т

A: We will approximate f(x) by the Taylor series. Taylor series of function fx at a is defined as:…

Q: ) y( 3x*- xy - 7)d -x ( xy ty- 2x) dgy = 0

A:

Q: Find d2y/dx2 implicitly in terms of x and y.

A: To findd2ydx2

Q: f (x) dx 21 and g(x) dx 14, find 3f (x) + 5g(x)] dx.

A: ∫09f(x)dx = 21   ∫09g(x)dx = 14∫093f(x) + 5g(x)dx = ?

Q: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

A:

Q: What is the solution for y(t)?

A:

Q: b) Is f x(x² + 1)dx = ( + x) + C true or false? show me

A:

Q: t² - t dt 0, = (x)6 g'(4) =

A:

Q: f(x)dx =| -8 -4 -4 (9f(x) – 7)dx

A: see below the steps and calculation

Q: What is the value of ∫k3 f(x) dx given that ∫313 f(x) dx=−3 and ∫13k f(x) dx=4?

A: Given:The integrated values

Q: e + xy + 4x = 1 ise y"(0) =?

A: ey+xy+4x=1 Differentiating with respect to x, we get…

Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

A:

Q: (e) f(x)=(Vx 3

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: j. f'(2) appears to have a value of

A:

Q: 6+ | f(x) dx = 21 and g(x) dx = 14, find (3f (x) + 5g(x)] dx.

A:

Q: Find f(t). e s2 + 1

A:

Q: ;F · dř = Sc(-5æ + 4y³) dx + (x³y) dy, what is F?

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: Q3) a) find f sec³ x dx

A:

Q: The D.E. is d²y dx2 + xy = x³y3 second order and second degree third order and second degree O…

A: Topic = Differential equation Second order and first degree

Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

A:

Q: J 2x - 11 dx 2 x²+x-6

A:

Q: 9. If f(x) dx = 35 and g(x) dx 14, find | [3f(x) + 4g(x)] dx. %3D

A:

Q: Evaluate (D2+3D+2)y=(1+e-x)-1

A:

Q: 5 If f(x) dx = 37 and g(x) dx = 16, find [2f(x) + 3g(x)] dx.

A:

Q: 4. Suppose y = 3x + 2. What is Ay if x increases by 3?

A:

Q: (d) y = x* (e) y = In(e2r + e-2#) (f) f(r) = e-

A: See solution below

Q: d) y = - + 3 e) y = 20.5x f) y = V2(x – 6)

A: Given query is to find the transformation performed and then graph the function.

Q: 8 If f(x) dx = 37 and g(x) dx = 12, find %3D [2f(x) + 4g(x)] dx.

A: Given ∫08f(x)dx=37 and ∫08g(x)dx=12We have to find ∫08(2f(x)+4g(x))dx

Q: -2 S.f(x)dx -4 a. b.5°2f1x) dx C.5f(x) dx

A:

Q: Find the antiderivate of dx/(x2+4)3/2

A:

Q: Find DF of fcx,y)=x²e° at the point (-2,0)-

A:

Q: Q2 Find2 of y = 4x/x+ vã at x=1? %3D

A:

Q: 4x (e) Find -dx .2 Vx² +4

A:

Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

A: Since you have posted a multiple question, we will solve the first question for you. If you want any…

Q: Find formulas for dy and Ay if y = x² – 7x + 3.

A: To give the formula dy = f'(x) dx and    ∆y = f(x+∆x) -f(x)