Find the value of m so that the function f(x) will be continuous everywhere mx +2 f(x)%3D2X+mx-n 3. Ef x>4 Oa. 7 Ob. 1/7 Oc 27/4 d. 1

Q: Find the absolute maximum and minimum, if either exists, for the function below on the given…

A:

Q: Starting from the function f(x) = e¬alx| -L 1 where

A:

Q: (a) Find T5(x) for f(x) = cos(x) and evaluate it at x = 0. (b) Find the maximum possible size of the…

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 2x Find the value/s of x, if any, at which f is not continuous if f(x): x+4 A 0 B -4 O and -4 O and…

A:

Q: B-Test and proof the function So (x In x)² dx

A: ∫01(x logx)2dx=∫01x2 (log x)2dx use integral by parts, ∫udv=uv-∫vdu u=(logx)2…

Q: For what value of e is the function defined below continuous on (-∞0,00)? C= 9. f(x) = [cx + 1,…

A:

Q: Find the linearization L(x) of the function at a. f(x) = cos(x), a = 77/2 L(x) =

A:

Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x>1

Q: The function f(x) = e + e has a relative extremum at Select one:

A:

Q: Find the value(s) of k that makes the function continuous over the given interval. 0 sx s2 2 < x s…

A:

Q: Ql.a- for what value of (k) is the function y= f(x) continuous at x=2 V7x + 2- V6x +4 -2 sx and x #…

A:

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for r 2

A: Please see the the answer below.

Q: (a) If e19z f (2) = z10 + 49 at how many points the function f (z)is discontinuous ?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Calculate the approximation for the given function and interval. M5, f (x) = ln x, [1, 3]

A:

Q: Q1 (a) Sketch the graph of two continuous function g(x) = cos x and h(x) = on the same plane,…

A: ..

Q: 4 – x² p(x) = x – 1 at x = 0 Select the correct response: Continuous O Discontinuous

A:

Q: to verify thiIS 1 For which values of a ER is the function ax? f(x + iy) = (ax- ary) + i + ay 2 an…

A:

Q: Find the value(s) of k that makes the function continuous over the given interval. a < k k < a S 3x…

A:

Q: S/ kx +1 O<x<1 a) Let f(x)= %3D 2x+3 13x<3 Find the value of k, given that the function f is…

A: If the function is continuous at some point , then the value of both side of function is equal .

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Given,          fx=1x+lnx ; 0.4≤x≤9

Q: (a) If f is continuous and | ₁² f(x) dx = 8, show that f takes on the value 4 at least once on the…

A: We will use  the fact  ∫abf(x) dx represent area bounded by curve y=f(x) and x-axis from x=a to x=b

Q: For function f(x,y) to have no extremum value at (a,b) is? 1) rt - s>0 2) rt – s?<0 3) rt - s? = 0…

A: To select: The condition for the function f(x, y) to have no extreme value at (a, b).

Q: Find the absolute extrema of the function on the closed interval.                      h(t) = t/(t +…

A: Given: The function h(t)=tt+3 and the interval [-1, 6].

Q: For f(x) = Vx ln x, find a). domain and f', b). the intervals on which f is increasing or…

A:

Q: 5. At x=0, which of the following is true of the function* n y = x? + e2 O A. f(x) is decrea sin g O…

A: if f' of a function &gt; 0 then f is increasing if f' of a function &lt; 0 then f is decreasing.

Q: How many critical points the following function has, g(x, y) = x³ + x + xy²? Select one: CO None of…

A: Using partial derivative with respect to x and y ,

Q: In(ax t4) 7X -K, x> -1

A: Given function is continuous at x =-1.

Q: A function f is approximated by a cubic spline defined by : (1 + 2x -x³ (2-(x-1)-3(x-1)² + (x-1)³…

A:

Q: 4) Find the value of the constant k so that the function (1 – k, if z<3, f(z) = 1– kr, if 123, is…

A: This question is related to limit and continuity of a function, we will use condition for a function…

Q: Consider f(x) - x In x. The step size, h, of Trapezoidal rule required to approximate ) dx within an…

A: Given: fx=xlnx Then, f'x=x1x+lnx=lnx f''x=1x Now observe that f''x≤1, for all x

Q: he graph of f(x) - x+1 is concave down on interval OA (-1,1) Ов. (0,1) Os. (-m 0LI(? m)

A:

Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b - 1<x< 1, 3 x21 Continuous at x=1

A: From  the given problem:   gx=-2x≤-1ax-b-1≤x&lt;13x≥1     As we know that a function f(x) is…

Q: ) On what interval(s) is f increasing ? y= f{(x)} ) At what value(s) of x, if any, does f have a…

A: graph  Given graph of f'(x) determine properties of f(x) f'=0 ⇒critical points of f  f'&gt;0 ⇒f…

Q: -2 x<-1 Q1)a) For what values of a and b is g(x) = |ax - b -1<x<1, 3 x21 Continuous at x=0

A: F is continuous at any point then left hand limit is equal to right hand limit. if limit is not…

Q: (k sin x + x2, c. For what value of k and m will the function g(x) = . x + 2, be continuous on m In…

A: Given:⇒g(x)=ksinx+x2,0≤x&lt;π4x+2,  π4≤x&lt;emlnex,e&lt;x≤2π A function is continuous at a point if…

Q: [ 2 sin(;) 15. Given that f(x) =- ki, is a continuous function at z = 0, the value of k is x = 0 B !…

A: A function f(x) is continuous at x=a, if right hand limit = left hand limit = function value at x=a…

Q: ind the linear approximation to the following function at the given point a. f(x) = 4x² + x, a = 4…

A:

Q: (a) At 12 noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/ hour and ship B is…

A:

Q: 3x? – 1 if x 1 Determine c and d so that f is continuous everywhere (as indicated in the figure) -1

A: Given  f(x)=3x2-1if x&lt;0cx+dif 0≤x1x+8if x&gt;1

Q: Determine the value of m such that the function x- y - 5 E + 5 VI - Vỹ f(x, y) = is continuous at…

A:

Q: Find the lengths of the functions of x over the given interval. Approximate if necessary. y=e^x on…

A:

Q: Find the absolute extrema of fGx\=x. %½x°- 2 x+1 on the interval E1,2I.

A:

Q: For what value of p will r) be continuous? x-4 for x S2 %3D 2x + 3p for x> 2 f(x) =

A:

Q: Find a constant b such that h is continuous at x = 2, where h(x) = {x + 1 for lxl &lt; 2 b - x 2 for…

A: Given, hx=x+1x&lt;22b-x2x&gt;2

Q: Find a value of the constant k, if possible, that will make the function continuous everywhere.…

A:

Q: If f is a quadratic function such that f(0) = 9 and f(x) x2(x + 1)3 dx is a ratianal.functian,,find…

A: This question is about finding f'(x)  at x=0  where f(x) is a rational function

Q: 2x+1 tan" log, (x +x+1)+(b-Sb+3)x+c. If f(x) is a -1 Q: Let f(x)= V3 decreasing function of x for…

A: