3.2. let f(x) = 2, x+4 xez, * 1 - 1 1/2/20 -74x45 -*>$ Approximate the foldoy using Trapezoid mule with n = 4.

Q: #10a. Describe 6 truths about this parabola f(x) = -(x+3)²-1 X 1. 2. 3. 4. 5. 6. *

A: This question can be solved using the concept of properties of parabola.

Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x>4given  f(x) is differentiable at all point

Q: Legend has it that the great mathematician Carl Friedrich Gauss (1777-1855) at a very young age was…

A:

Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: The line -8x + y = m is tangent to the parabola f(x) = nx² when x = 5. Find the values of m and n.

A: NOTE: Refresh your page if you can't see any equations. . the given tangent line is  here we have…

Q: 6. If f(x)= V3x + 4 , find (7).

A: Given function is To find inverse function of f , we set y=f(x) and solve for x Therefore,

Q: )=8200 and f(8)= 2600. suppose that fG) (a) write tne lincav ffunction f and (b) find the valle of…

A: Given: f12=8200, f8=2600 To find: (a) Linear function f, (b) The value of f5.

Q: O2/ Find all Max. Mn. Saddle point for the function Lelowr lay) = 2xy-5x-2y" + AX+4y-4 %3D

A: Maximum , Minimum and saddle points for f(x ,y) :   For critical points , fx(x,y) =0 = fy(x,y) (say)…

Q: Find the F. T of the following Signals X(t)=28(t + 2) — 28(t-2)-rect(²¹)+rect(²¹)

A:

Q: 5. For f(r) = e (x - 5), find a). the domain, b). f', critical points, %3D c). the local maxima and…

A: As per our guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: find the critics (local max, lo cal min) Of the function f(xcy)= -x5+ Dy3+27x-24y+3

A:

Q: Da. Describe 6 truths about this parabola f(x) = -(x+3)²-1 (10) A 1. 2. 3. 4. 5. 6. *

A:

Q: 3. Which function has a range of yS 3? Ax) -- +3 с. a.

A:

Q: (-) = { 2*. x 2 Find the values of a and b so that f will be differentiable at x = 2.

A: Given function is fx=7x2        ,x≤2ax+b    ,x>2. By continuity, 722=a2+b74=2a+b2a+b=28     ...1…

Q: IB) Find the cnber of curvatee, eguation of the curde of cuuunfure f (x)> Jax of the gmph. of at x=…

A: Consider the given curve as, fx=2x at, x=4 Let y=fx=2x

Q: 6. For f(x, y) = x²exy Find fx (2,1) {needs product rule}

A:

Q: 4. For the functions f(x) = Vx -3 and g(x) = Vx+2, find and detemine the domain in ease case. a. gf…

A:

Q: 2 The Range (Ry) of y = v9 – x² -

A:

Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

A:

Q: What is the largest interval on which the following IVP sure to have a unique solution: (t…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 33. Given the function f(x,y) = 3x – x³y² + 2x³y, what is A. 3– 2ry + 6x²y B. -2ry + 2r C. 3 – 2ry²…

A: From the given function; fx,y=3x-x2y2+2x3y As we know that, The Power law: ddxxn=nxn-1

Q: Q3/ prove fry = fyx if f(x,y) = x + xy – 5x³ + In(x2 + 1)

A:

Q: Let f (x) = vr +2² + 2 , ro = 1, h = 0.5, r1 using the Three-Point formulas to approximate f(1) (1);…

A: Given: The given fx=x3+x2+2, x0=1,h=0.5,x1=1.5 and x2=2

Q: Give an example of a linear function f(x)= mx + b, with m,b ±0 and an interval a<xsc where f(x)dx=0…

A:

Q: 2 Approximate 0.5źdx using trapezoidal rule. X-4 Select one: a. -0.02678571 b. -0.2276571 C.…

A:

Q: Find the F. T of the following Signals. X(t)=28(t + 2) — 28(t-2)-rect(+¹)+rect(¹¹) - er

A:

Q: 7. Given f(x) = ax² + bx + c, determine the values of a, b, and c if: f'(x) = 6x + 3 and ƒ(2) = −1.

A: