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315 f g h ` _ k l \ h l j m ^ h \ _ i h t e Z j k d Z b k l h j b y g Z g _ f k d b b t e Z j k d b _ a b d K i h j _ ^ ^ h k l h \ _ j g b ^ Z g g b _ i h qProblems Logarithms According to the data of this logarithm problem, the values of a raised to the power of x, b raised to the power of y, c raised to the power of z and d raised to the power of w are equal In this case, the value of the logarithm of product of b, c and d to base a is required to find Step 1 The base of the logarithm is aLimx o 1 x limx 0 1 x IV1 TOPIC IV CALCULUS 1 Limit • Suppose that we have a function y = f(x) What would happen to y as x x?o Definition Let y = f(x) Then, the limit value of y as x a is denoted by lim f(x)x a EX 1 y = 1 2x

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~fBA LbY wAX^C Ìq- Answer is (ab)/2 int_a^b f(x) dx Let "I" be the integral, I = int_a^b xf(x) dx (1) Using the property of definite integrals, I = int_a^b (abx) f(abx) dxFor f (a, b) R, x 0 (a, b) and 0 define f (x 0, ) = sup{f(x) f(x 0) x (a, b) and x x 0 Show that lim 0 f (x 0, ) = 0 if and only if f is continuous at x 0



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SOLUTIONS 1 a F (A,B,C) = A' B' C' A' B' C A B' C' A B' C A B C' A B C Distributive = A'B' (C' C) AB' (C' C) AB (CIf you see it carefully you will get the relation Yes it'sTo all the peeps who are about to sit for core 2 edexcel maths exam we should start a LOGS thread alltogetherevery log question that creeps up is wors
Which can happen if either or Note that the function which is identically zero satisfies the functional equation If is not this function, ie, if for at least one value of , then plugging that value of (say ) into the equation gives To break it down to its components, let's define each part of the formula Y the outcome or outcomes, result or results, that you want X the inputs, factors or whatever is necessary to get the outcome (there can be more than one possible x) F the function or process that will take the inputs and make them into the desired outcome Simply put, the Y=f(x) equation 131k views asked in Class XI Maths by rahul152 (2,8 points) If f ( x)= y = axb/ cxa then prove that f (y) = x sets
Y = f (x) Process Outcome a Result of Process Inputs The mathematical term Y = f (x), which translates as simply " Y is a function of x," illustrates the idea that the important process outcomes ( Y s) are a result of the drivers ( x 's) within processes The goal of DMAIC is to identify which few process and input variables mainlyF I B O N A C C I G R A C E F U L G R A P H S DAVID W BANGE and A N T H O N Y E B A R K A U S K A S * University of WisconsinLa Crosse, La Crosse, WI Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries Students (upto class 102) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (MainsAdvance) and NEET can ask questions from any subject and get quick answers by



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If F (A B − X) = F (X), Then B ∫ a X F (X) Dx is Equal To,A B 2 B ∫ a F ( B − X ) D X,A B 2 B ∫ a F ( B X ) D X,B − a 2 B ∫ a F ( X ) D X,B aLinear Equations and Lines A linear equation in two variables is an equation that's equivalent to an equation of the form ax by c= 0 where a, b, and careFormula ( x a) ( x b) = x 2 ( a b) x a b x is a variable, and a and b are constants The literal x formed a binomial x a with the constant a, and also formed another binomial x b with another constant b The first term of the both sum basis binomials is same and it is a special case in algebraic mathematics



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1 Boolean Algebra Definition A Boolean Algebra is a math construct (B,, , ', 0,1) where B is a nonempty set, and are binary operations in B, ' is a unary operation in B, 0 and 1 are special elements of B, such that a) and are communative for all x and y in B, xy=yx, and xy=yx Misc 43 Choose the correct answer If 𝑓𝑎𝑏−𝑥=𝑓𝑥, then 𝑎𝑏𝑥 𝑓𝑥𝑑𝑥 is equal to (A) 𝑎𝑏2𝑎𝑏 𝑓𝑏−𝑥𝑑𝑥 (B) 𝑎𝑏2𝑎𝑏 𝑓𝑏𝑥𝑑𝑥 The functional equation f (xy) = f (x)f (y) Suppose satisfies What can we say about ?




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Solve for x x/a=y/b x a = y b x a = y b Multiply both sides of the equation by a a x = y b ⋅(a) x = y b ⋅ ( a) Combine y b y b and a a x = ya b x = y a bSolve for x axb=c ax − b = c a x b = c Add b b to both sides of the equation ax = c b a x = c b Divide each term by a a and simplify Tap for more steps Divide each term in a x = c b a x = c b by a a a x a = c a b a a x a = c a b a Cancel the common factor of a aThe Y=F (x) formula is the Lean Six Sigma shorthand for this approach "Y" is the process output It could be quantity, quality, feature performance or any other attribute that is important to the customers and stakeholders They identify what the "Y" should be and will often set targets for the "Y" performance



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The position of a moving car at time t is given by f(t) = at^2 bt c, t > 0, where a, b and c are real numbers greater than 1 Ex 21, 6 If A × B = {(a, x), (a, y), (b, x), (b, y)} Find A and B Given A × B = {(a, x), (a, y), (b, x), (b, y)} A is the set of all first elements ie A = {a, b} and B is the set of all second elements B = {x, y} (Since first element contains only a and b) (Since secClick here👆to get an answer to your question ️ If f(a b 1 x) = f(x) , for all x , where a and b are fixed positive real numbers, then 1a bint^ba x(f(x) f(x 1))dx is equal to




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Ex 12, 8 (Introduction) Let A and B be sets Show that f A × B → B × A such that f(a, b) = (b, a) is bijective function Taking example Let A = {1, 2}, B = {3Graph f (x)=b^x f (x) = bx f ( x) = b x Find where the expression bx b x is undefined The domain of the expression is all real numbers except where the expression is undefined In this case, there is no real number that makes the expression undefined The4 1222 (d) Prove that f(f−1(B)) = B for all B ⊆ Y iff f is surjective Proof =⇒ Let y ∈ Y arbitrary We have to show that there exists x ∈ X with f(x) = y Let B = {y} By assumption, f(f−1(B)) = B = {y}, so y ∈ f(f−1(B))By definition this means that there exists x ∈ f−1(B) with f(x) = y



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a=1, b=1 If a function f(x) has an inverse function f^1(x), color(red)(f(f^1(x))=x) is always true Then, f(f^1(x))=x ⇔ a(bxa) b =x ⇔ abxa^2b=x It must be an identity for x Hence, ab=1 (1) and a^2b=0 (2) are satisfied From the equation (2), b=a^2 Substitute this into (1), a^3=1 a^3=1 a=1 (assuming that a is a real number) b=(1)^2=1How to Use Six Sigma's Breakthrough Equation Y = f (X) ε All of Six Sigma can be summarized with what's called the breakthrough equation — one generalpurpose equation that shouldn't intimidate even the least mathematically inclined Y = f ( X) ε, where Y is the outcome (s) or result (s) you desire or need The next two letters are likely C & U There are at least 2 patterns in these letters FIrst is the list of vowels that make up every other letter Then the letters alternate from the ends of



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6742 views around the world You can reuse this answer Creative Commons License(a b)(a b) = (a b)a (ab)b = a^2 ba ab (b^2) Note that ab = ba, and that subtracting a negative number n is the same as adding n With those two rules in mind we get as our final result, = a^2 2ab b^2 If you do the same exerciseB a = h we get lim hœ0 ∫xh x f(t)dt h = lim hœ0 f(c) where c is somewhere in the interval x,xh In the limit as h goes to 0, c gets squeezed downtox




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Homework Statement Let X and Y be sets, and let A and B be any subsets of XDetermine if for all functions from X to Y, F(AB) = F(A) F(B) Justify your answer Homework Equations The Attempt at a Solution intuition tells me no because the F(AB) will have a different x Both f (1) and f (2)=2 There is c in (0,2) such that f' (c)=f (b)f (a)/ba By the MVT, there is a number c in (0, 1) such that f' (c) = f (1) f (0)/ (1 0) = 2/1 = 2 You can use the same idea to show that for another number c in (1, 2), f' (c) = 0 If you knew that f' was continuous, you could use the Intermediate Value Theorem to showAnswer is 'V' There are 26 alphabet's,so 'a' comes at 1 st position,b at 2nd, c at 3rd, similarly f at 6th, and x at 24th So if a =b means 1st=2nd c=f means 3rd= 6th x=?



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Please feel free to ask your queries here We are all IITians and here to help you in your IIT JEE preparation All the best Win exciting gifts by answering the questions on Discussion Forum So help discuss any query on askiitians forum and become an Elite Expert League askiitianQuestion from Kevin, a student How do I find the curve, algebraically on paper, for f(x)= ab*lnx with data points (6,1303) (9,1639) I can do it with LnReg on a calculator but I want to know howISTANBUL ELECTRICAL COMPANY is an enterprise specialized in marketing and installing electrical systems and light fittings in homes, large buildings, mosques, and theatres including various items such as exhaust fans , switches, distribution boards, and security systems



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Point to remember while learning Hadoop DevelopmentY=a(xb)(xc) New Resources Desargues II Locked;Matha^x = b/math → (i) mathb^y = c/math → (ii) mathc^z = a/math → (iii) Using (i) and (ii), we can write matha^{xy} = c/math → (iv) Using (iii



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We can determine the correct answer choice by substituting numerical values for a and b We could use any two values for a and b, but for simplicity, let's choose a = 1 and b = 2 The function now looks like this f (1 2) = f (1) f (2) f (3) = f (1) f (2) So, we must determine which answer choice has f (3) equal to the sum of f (1) and f (2)Click here👆to get an answer to your question ️ If x = b c, y = c a, z = a b then the value of x^2 y^2 z^2 2xz isIf A = x% of y and B = y% of x, then which of the following is true?



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If F(x)=x has no real solution then also F(F(x)=x has no real solutionA) A is smaller than B b) A is greater than B c) Relationship between A and B cannot be determined d) If x is smaller than y , then A is greater than B e) None of these Looking more closely I think that you meant b to be a multiplicative factor, not a scalar that you subtract and that you just made a mistake when you wrote "y=ab*c^x"



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