Find constants a and b such that the function
WebChapter 1.6: Continuity16. Find the constants a and b, such that the function f(x) is continuous for -3≤x≤0.From Nelson Calculus and Vectors 12Chapter 1.6, p... WebFeb 4, 2024 · a=-1 b=1 Since f(x)=2 when x<=-1, all y values will be 2 when x=<-1 We stop going at the point (-1,2) Similarly, since f(x)=-2 when x>=3, all y values will be -2 when x>=3 We stop going at the point (3,-2) To find this function that is in the form ax+b and basically connect the two stop points, we simply find the equation of this connection ...
Find constants a and b such that the function
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WebExpert Answer. Find the constants a and b such that the function is continuous on the entire real line. f (x) = ⎩⎨⎧ 5, ax+ b, −5, x ≤ −2 −2 < x < 3 x ≥ 3 a = b =. WebApr 23, 2010 · Find the constants A and B such that the function y = Asinx + Bcosx satisfies the differential equation y'' + y' - 2y = sinx Homework Equations None The Attempt at a Solution My attempt: y = Asin x + Bcosx y' = Acosx - Bsinx y'' = - Asin x - Bcosx y'' + y' - 2y = sin x - Asinx - Bcosx + Acosx - Bsinx - 2Asinx + 2Bcosx = sinx
Web0. Starting from. − A sin x − B cos x − A cos x + B sin x − 2 A sin x − 2 B cos x = sin x, you get. ( 1 + 3 A − B) sin x + ( 3 B + A) cos x = 0. This equality must hold for all x. Taking x = 0 and then x = π 2 you find 1 + 3 A − B = 0 and 3 B + A = 0. I guess you can finish now. WebOct 14, 2024 · b = -1/37 ===== Explanation: Let's start things off by computing the derivatives we'll need. Apply substitution to get. I've factored things in such a way that …
WebFind constants a and b in the function f(x)={a x^{b}\over \ln(x)} such that f(\frac{1}{9})=1 and the function has a local minimum at x=\frac{1}{9}. a = b = This problem has been solved! You'll get a detailed solution from a subject matter …
WebMay 30, 2024 · a= b= Find constants a and b in the function f(x)=axe^(bX) such that f(1/8)=1 and the function has a local maximum at x=1/8. Find constants a,b, and c …
Webfor this problem we are asked to find the constants A and B. Such that the function is continuous on the entire real number line or in this case we just need a constant A. So we have F of X equals X cubed when X is less than or equal to two and a X squared when x is greater than two. So we can see that we need for this to be continuous. chitoniscus feejeeanusWebSep 12, 2024 · Select the correct answer. Consider functions p and q. log₂ (x - 1) p(x) q (x) = 2* - 1 Which statement is true about these functions? = O A. The x-in … tercept of function p is the same as the x-intercept of function q. OB. The x-intercept of function p is less than the x-intercept of function q. O C. gras savoye une société willis towers watsonWebOct 20, 2015 · Find constants a and b in the function ax^b/ln (x) such that f (1/5)=1 and there is a local min at x=1/5 asked by Tanner October 20, 2015 1 answer y = ax^b/lnx y' = (ax^ (b-1) (b*logx - 1))/log^2 (x) since x^b is never zero, we want b logx = 1 b = 1/ln (1/5) = -0.62133 y = ax^b/lnx y (1/5) = 1, so a (1/5)^ (-0.62133)/-ln5 = 1 chiton greek garmentWebCalculus Derivative - Finding unknown constants. Determine the constants , , , and so that the curve defined by has a local maximum at the point and a point of inflection at the origin. Sketch the curve. I know to create different equations and use substitution to find the unknown values, but am unsure on how to get the equations. chiton fishWebunknown function y and its derivatives y0 and y00. Find constants A, B and C such that the function y = Ax2 +Bx+C satisfies this equation. Answer: Given the general form for … gras savoye thionvilleWebNov 6, 2016 · Calculus Limits Continuous Functions 1 Answer Steve M Nov 6, 2016 We have a = 1 and b = 5 giving: f (x) = ⎧ ⎨⎩4 x ≤ −1 x + 5 −1 ≤ x ≤ 1 6 x ≥ 1 Explanation: We want to find a and b such that f (x) is continuous: f (x) = ⎧ ⎨⎩4 x ≤ −1 ax +b −1 < x < 1 6 x ≥ 1 Strictly speaking we want to find f (x) = ⎧ ⎨⎩4 x ≤ −1 ax +b −1 ≤ x ≤ 1 6 x ≥ 1 gras savoye schiltigheimWebFeb 22, 2024 · Explanation: The first step is to find the derivative of the given function and then put the value of x = 2 in the derivative function. The solve the equation for the … gras savoye willis towers watson recrutement