If S 18(x + 1) + 12(x + 1)2 – 6(x + 1)3 la + bx + cx? + dx³ if – 1< x < 0 if 0 < x < 1. S(x) = is a clamped cubic spline satisfying S'(-1) = S'(1), find a, b. c, d. %3D a = b = c = d =

Q: 5. Find an expression for a cubic function f if f(1) = 6 and f(-1) = f(0) = ƒ(2) = 0. Answer |f(x) =…

A:

Q: 19. Suppose g is a differentiable function for all real numbers. Given that g(x) dx = 12 and (g(x)…

A: To find: The value of ∫47gx+5dx. Given: The differential function g is ∫27gxdx=12 and ∫24gx+3dx=7.…

Q: if x<0 f(x) – 13- x, if x20 which one is the graph of y=f(x) function? O A) OC) OD) DE)

A: Explanation of the answer is as follows

Q: differentiable and

A:

Q: 1. if f(x)= x2-4,  g(x)=x3 , F(x)=1/(x-3) a. F(g(y)) b. f(square root of x4+2)

A: F(g(y)) can be obtained by replacing x by g(y) in F(x)

Q: 11. If f(x) = 15 -g (x) for -2 <x < 2, then If(x)– = - (x)] dx : %3D (A) 2 g(x) dx – 60 | -2 ~2 (B)…

A: Consider the given function. fx=15-g(x) in the interval -2≤x≤2. The objective of the problem is to…

Q: 3. Discuss how to transform the graph of y = x2 in order to obtain the graphs of #2a and #2b above.…

A: 3(a):

Q: How would you help a friend determine the equation of the line that is perpendicular to x - 5y = 7…

A: Suppose, y=mx+c is a line whose slope is m. Then, the equation of its perpendicular line is given…

Q: 1) Q can range from 0.335 to 2291.97 -b+ y - 4ac 2a Using Where b =29.8 a=-0.013 C=-10 2) The…

A:

Q: 23. lim 3x In/x- 2| x1 x2 17 y -2+ -3+ 2 3

A:

Q: 1. Sketch a So when X 3 and f(x)>0 when quartic function for y = f(x) such that -4<x<-1 or -1<x<3

A: Kindly see attached photo for your guidance.

Q: 3. Determine the values of a and b if the given function f(x) is continuous. (2x + 6 ,x 2 Solution:

A:

Q: x2+1 is: 15. The slant asymptote of f(x) = is: x+3 %3D A) y = x. B) y = x – 3. C) y = x + 3. D) y =…

A:

Q: i) Determine the domain of the Following finctions @ f(x) = Sx²+7x+ 2 - Sx°+7x + 2 Oy - log (xt3)…

A: We have to find domain

Q: D 3 The region D above lies between the two red lines and the red parabola y = -x². It can be…

A:

Q: 1. Which of the following relations is FALSE. n+m A) (ab)" =a"b" B) C) (a")" 2. The equation of the…

A: To identify the false relation from give question.

Q: 1. x - 4x - 5 = 0 %3D (x)

A: Topic = Quadratic equation

Q: Q 6. If the function f(x) = 2x - 9ax + 12a*x+1 has a local maximum at x x1 and a local minimum at x=…

A:

Q: 12. At which point A, B, C, D, or E on the graph of y = f(x) are both y' and y" positive? (a) A (b)…

A: Consider the curve

Q: - f(æ) = Where is %3D discontinuous? x2 + 3x – 18 - o f(x) is continuous everwhere O 3 O-3 and 6 O-6…

A:

Q: 14. Is the following function a cubic spline on [0, 3]? 0< x < 1 1 < x < 2 2 <x < 3 x³, s(x) = 2х —…

A: We are entitled to solve only one question at a time. Please post another question separately. To…

Q: 11. Use the given graphs of f and g to evaluate (5f(x)+3g(x)) dx |x=4 5- y = f(x)/ -4- y = g(x).- 2-…

A:

Q: + If y = Vx? - 2x then y' 2(x-1) %3D %3D 3x2-2x FO

A: Ans of all this questions  1) F 2) T 3) F

Q: 11. The value of k such that the line y = 4x - 3 is tangent to the graph of f(x) = kx² is

A: The function is given by fx = kx2                                 .........1 The equation of the…

Q: 17) Draw the graph of a function K(m), such that S К (т) dm о

A:

Q: 5. Given f(x) = Vx – 3 and g(x) = 3x* – x? + 2, find %3D a) (f•g)(x) b) g(F(x)) = Domain:

A:

Q: 4. Jacobi is seated on the line tangent to the graph of  y =2x3 -3x2 -12x +21 at x =2.

A: