A clamped cubic spline S for a function f is defined by 5 5 + 2(x – 5) + (x – 5)² – 2(x – 5)³ S(x) = la + b(x – 6) + c(x – 6)² + d(x – 6)³ 6

Q: The maximum value of F in F(x) = - 4 cos x is 2 4 1

A: We know range of cosine function is [-1,1] Therefore maximum value of f(x)= -4cosx is, f(x)=-4cosx…

Q: B) Test the functions continuity at the given poihts: (x²-x-6 1) f(x) 3D x * 3 ,at x 3, x 5 X-3 x =…

A: f(x)=x2-x-6x-3x≠35x=3

Q: The equation of a quartic function with x-intercepts at 1 (order 2), -3 (order 1), 2 (order 1) and…

A: Let's find.

Q: The following is a line from the pascal triangle: 1,10,45,120,210,252,210,120,45,10,1 (Write…

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Q: 2.if f (x) = x2 + 3, with domain R then f(x) has f(x) %3D O T F

A: Here the given function is f(x)= x2+3 with domain R We need to find it has inverse or not.

Q: 13. Let ƒ(x) = 1 3 1+(3x+2)² 2√√3x +2 Find f (17). 12

A: The given function, fx=11+3x+22.323x+2 we have to find the value of f-712

Q: If f(x) In - In( + o). + e6x, find f (0).

A:

Q: Determine a value for m so that h (x) = -1/3 x^3 + nx^2 + 8x – 15 has an inflection point at  x = –…

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Q: t. determine just one horizontal asymptote of f() by computing an appropiorate llmit. f(x)= V4x^+ qx…

A: Find the value for f(x) as x tends to inf.

Q: Find the domains of h(x)=1/(x3+1)1/3.

A:

Q: 3.) For the functions f (x) = v16 – x and g(x) = 2x – 8 find (x) and give its domain in interval -…

A: It is known that fgx=fxgx.

Q: Find the maximum and minimum values of the 2x3 function f(x,y) = * - 2xy – 5x + 2y² + 4y + – 2xy –…

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Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

A:

Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

A:

Q: The interval on which f(x) = 3 – 2x – 12x² – x³ is | - concave down is: O (-4, 0) O (-∞, 4) O (4,…

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Q: find the interverse of the fuction f (x)= 2x + 3/x-4

A:

Q: Show that f(x) = x³ − x² − 3x + 1 has a zero over the interval [0, 1].

A: given function We need to sow that function has a zero on given interval.

Q: Q.2 If f(x) = 2*, Then show that a) f(x+3) – f(x – 1) =f(x) S(x+3) S(x-1) = f(4) b) %3D

A:

Q: What are the valuesbof x where tge functions f(x) = (3x+2)(x+1)\x+3 is undefined?

A: Consider the function f(x)=(3x+2)(x+1)x+3

Q: Find the first derivative of g(x) = 9eª sin(x²). g'(x) =

A: The given function .The aim is to find the derivative of the function.Note: Since you have posted…

Q: Q: Let f: R→R be given by f(x)= x +3 Find (a){x: f(x)= 28} (b) The pre-image of 39 and 2 under f.

A:

Q: Given the preconditions for x and y as |x – y| ≤ 200, |2x + y - 150| ≤ 250, show the post-conditions…

A: Given that, z=3x2+y2+3xy-7x-8y+10 Subject to  x-y≤200 2x+y-150≤250

Q: Calculate the extremum point of below function and Classify it f(x) = 4 x³ + 2 v11 – x + x?

A: It is given that fx=4x3+211-x+x2. We have to find the local maximum and local minimum points of the…

Q: On what interval(s) is the function f(x) = x99x8 + 5 both decreasing and concave up? (Enter your…

A:

Q: G(n) = (d)o(d) is multiplicative function. If p is prime then G(p*), fork >1 equals dịn Select one:…

A:

Q: 3. Find algebraically the zeros for f (x) = x - 4x 9x + 36x %3D

A: Given function

Q: -Vx2+5 -x f(x): f'(0)? -x+2

A:

Q: 2 2x +1 Let f(x) =- |- log, (x² + + 1) • (b* - 5b +3)x +c. If f(x)isa tan decreasing function of x…

A: