f(x) = 3x - 2sınx +7 %3D aluse the intermediate Value Theore m to show that flx) has at least one zero. b)use the mean Value Theorem to shon that flx) has at to-sh. most one 2ero

Q: 1 Find Vf if f = 2 /x²+y² +z?

A:

Q: 3) Find domain of the following functions x+4 a) f (x) = x²+2x-8

A: Given function is: fx=x+4x2+2x-8 We have to find the domain of f(x).

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

A:

Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

A:

Q: 15) Evaluate each function given that f(x) = 3x? – 2x and g(x) = -8x – x. Give your answer in…

A:

Q: Answer all a

A: Substituting x = -5 in the given functions, we get i).  ii).

Q: Which of the following correctly describes the function f(x) = 4x4 – 32x³ + 89x2 – 95x +29? none of…

A: The given function is fx=4x4-32x3+89x2-95x+29. This is a problem related to function. Based on the…

Q: (2x) (3y+8) (2x+4) R 5. mZQ = mZO =

A:

Q: Let f = {(-3,-4),(9,4),(4,5)}. Find f(4).

A:

Q: Evaluate the following: ☺ if f(x-j) = 2x²_x²-2x²+x find the value of f ( 7 ). 4

A:

Q: write an equatun q the une passes through (4.5, -li6) and' is per pendiaular to he wie dyfined by 5x…

A:

Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: 3. Sx³dz

A: Let I=∫x3dx1+x2.

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

A:

Q: dx. = 9) Evaluate 2x-1

A:

Q: 12. Find m/R. (&x - 12) (3x + 5)

A:

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: Find all the values of z for which 1+z 1 1 1 1 1+z 1 1 1 1 1+z 1 1 1 1 1+z 0.

A:

Q: An F-curve has df = (12, 7). What is the number of degrees of freedom for the a. numerator? b.…

A: The degrees of freedom for the F-statistic is, df=(k−1, n−k). The F-distribution has two numbers of…

Q: 2-2x find (fif) G) to use f Cx) = x

A:

Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: 412 +9t+8 Show that 2.546, (t+2)(t+1)2 correct to 4 significant figures.

A:

Q: evaluate f)= 3sin2x at x=02J03E°5 %3D

A: Let us consider function  f(x)=a2x+2btanx+x+cln(4x)+d2x2                                        (1)…

Q: Verify using Pathagoream Thereom EA 2xv x44 -radius

A:

Q: Salve diff.eon √₁+x² + y² + x²y² + xydy 1 = 0 14x

A: Given differential equation is             1+x2+y2+x2y2 +xydydx=0 ⟹        1+x2+y2+x2y2 =-xydydx⟹…

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx