9(x) = 3x+ on the interval [-1, 3]. %3D

Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: the estimate of solution to x=2^-x to 4 decimal places is what?

A:

Q: Minimize f(x) = x² + 54 ; using Interval halving method for 2 ≤ x ≤ 6. E= 10-³

A:

Q: dx 3.

A:

Q: How can we minimize the error of an approximation in a linear approximation at the point (a. f (a))?…

A: Query- How can we minimise the error of an approximation in a linear approximation at the point…

Q: 2. Find the root of the function using Fixed-point Iteration. f (x) = x cos (x) - x?

A: Consider the given function as, fx=xcosx-x2

Q: 0 and f'(x) > 2 for 1sxs4, how small can

A: It is given that f(1)=10, f'(x)≥2 for 1≤x≤4.

Q: Use the first derivatives test to find local exterma of f( x) =x3 -12x on R

A:

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: usk 2: Find the derivative of 4x2 + 6y3 = 50 by filling the blanks. %3D (2 xD(x-)+x 6)(y³4)_=__ dy >…

A: We have, 4x2+6y3=50            ⋯⋯1 We know that, from basic derivative formula ddxkxn=n·kxn-1ddxk=0…

Q: 6. Solve (cotx - 1)(2cosx + 1) = 0 where 0° sxs 360°. Show your work. %3D

A:

Q: What is the %ER of the approximate derivative of f(x) = x2ex , using forward-difference %3D approach…

A:

Q: Use the first derivative test to find the location of all local extrema in the interval for the…

A:

Q: / (6x" – 7Va+ 19x- 8 -- + Evaluate + 14e0* + V11 dx. (You don't have to show the work.)

A:

Q: Solve using linearization using one digit approximation only 1) f(x) = V5

A:

Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

A:

Q: Find y double prime using implicit differentiation5x^3+4y^3=1

A: We have given,

Q: Find the relative extrema using both the first and second derivative tests. f(r) = 2x³ – 9x² + 12x.…

A: Consider: fx=2x3-9x2+12x. Critical point is the point where the derivative of the function is either…

Q: Find the relative extrema of f (x) = 7+ 144x – 9x? using both first %3D and second derivative tests.…

A:

Q: Find the orthogonal trajectories of the functiony x + ce which is passing through (-2,0)

A:

Q: Use variation of parameters to find a particular solution of the ODE y" – y = 2e".

A: Given differential equation is  y''-y=2ex we have to find  the particular solution of this…

Q: Approximate the length of the curve using n secant lines for n = 2; n = 4.y=ln x, 1>=x>=3

A: We have been given a curve y=lnx and we are supposed to approximate the length of this curve between…

Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3…

Q: f(x)=x²-2x Sf(x)dx using four subintervals by on Estimate -1 d M4.

A: Given function is We divide the interval [-1,1] into four sub-intervals with length of each is…

Q: Find the lineari zation L (x) of the fuction at a. f) = x'+2x

A: In the given question we have to find linearization of function.

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

A:

Q: What are the critical points of sin(x2-1), at the closed interval [-1,1]?

A: Given: The critical point is a funtion is the point where the derivative of the funtion is zero.…

Q: Find the fourth derivative of ƒ (z) = 4z" f(4) (z) =

A: We can make it easier for you

Q: Find the critical point of the function f(x, y) = 8 – 4x + 7x² – 6y – y? - -

A:

Q: ) Find the integration: V1-X

A: Given integration, ∫032dx1-x2

Q: OFind the derivative of the 1 +5 (a). f(z) = %3D T2-5

A: As per the guidelines we can solve only one question at a time so if you need more answers then…

Q: The approximation of the root x* of the function ƒ(x) = x* – 5x³ + 9x + 3 in the interval…

A:

Q: Estimate the slope f'(3.5) for f (x) = sin(3x) using: a. Forward difference approximation with h =…

A: f(x)= sin3x x y y1 y2 y3 y4 3.3 -0.1557             -0.193       3.5 -0.3507   0.0139…

Q: Find the root between [-1,0] where f (x) = (x+2)' +2x – 5 with error epsilon=0.1 by using False…

A: There are many methods to find the roots of an equation in a given interval. One among such method…

Q: 3. x - y=t + 3 4. x = VT-T; y =t- 3t 5. x = vE + 2; y = t² - 3

A:

Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

A:

Q: Find without using the Chain Rule

A: The given differentiation is:  ddxlnx101 To evaluate the given differentiation, apply the…

Q: Find the derivative. |4t +5 dt O A. V4x+5 O B. V4x+5 - 5 2 OC. V4x +5 OD. (ax + 5)/2

A: It is given that, y=∫0x4t+5 dtWe have to find the derivative.

Q: Linearize f(x) = 5 cos x about x = pi over 2. f(x) = -5x

A: linearization around x=a is given by :L(x)=f(a)+f'(a)(x-a)

Q: 2. About what point is the local linear approximation l(x) 1 of the function f(x) = tan- x 4 valid?

A: Let's Solve,

Q: Find a root of an equation f(x) = x^4-2 using Halley's method.

A:

Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find.

Q: Obtain the MSE of f(x) = ex.

A: MSE = Maclaurin Series Expansion f(x)=ex formula f(x)=∑k=0∞f(k)(0)k!xk

Q: Classify the critical point (5,-4) for f(x,y) = x² + 4xy + 2y2 + 6x-4y +3

A:

Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a local minimum at x = 4 and a point of…

A: Given: fx=x3+ax2+bx fx has a local minimum at x=4 . fx has a point inflection at x=1 . Since fx…

Q: 4. What is the maximum possible error if T4 is used to approximate | f(x) dx f(x) dx

A:

Q: Find the marginal revenue function. R(x) = 3x-0.05x2 R'(x)=

A:

Q: The value of Wronskian of two functions y, =7* and y2 =7** is

A:

Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

A: