Find the derivatives of the following functions (use derivate definition): iii) Vr + Va iv) senm x cos" x.

Q: Find y as a function of a if y" – 8y" + 15y/ = 8e", y(0) = 28, y(0) = 14, y"(0) = 12. y(x) = 52.04-(...

A: We have to find the solution of differential equation.

Q: An integer n > 2 is composite if and only if n doe

A: Given Statement: An integer n > 2 is composite if and only if n does not divide (n - 1)! + 1. ___...

Q: a. Find the Laplace transform F(s) = f(t)} df thể füñction f(t) + sin(8t), defined on the interval t...

A: Laplace transform of the function

Q: An advertising company offer three types or mediums: television, newspaper and radio . The cost for ...

A: Given:The radio constraint is that atmost 46% of the total number of advertisement should be on radi...

Q: » (6)- (:) + (2) ---» :) - (3) n n +(-1)" (" ). = 0. с) + 3 n +...+n = n2"-1.

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Q: L Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) ...

A: Introduction: An infinite series is classified as convergent when the sum of the series is finite. W...

Q: 6. (a) Suppose U, W are subspaces of V. Show that (U +W)° = U°n W°. (b) Suppose V is finite-dimensio...

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Q: ¡F () = 42 + z + 5 z-5 dz, where C is the ellipse (x/2)2 + (y/3)² = 1, find the value of (a) F(3-5);...

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Q: Approximately, what percent of the data is less than the third quartile? O 75% O 0% 50% 25%

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Q: Question 2 3x + 3z + 0. -3x 4z + 2y 2x 3z + my Find m such that the following system has nontrivial ...

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Q: 2. Pinocchio's nose length y (in inches) is dependent on his lie count s. Geppetto has modeled this ...

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Q: QI) For the functions yl=fi(x)=x* y2=f2(x)=(x+1)*+2 a) Draw the functions. c) Find their domains and...

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Q: Can someone explain how to complete this type of Question in detail ? Give a big-O estimate for the...

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Q: v, w : 3x1 vector R: rotation matrix R(Vxw ) = (R) x (RW) show me that there is the expression

A: The main objective is to prove the given expression.

Q: Q3 Use Secant Method to find the root of the function. F(x)= cosx + 2sinx + x^2 to 5 decimal places

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Q: I. Write True if the statement is true. If the statement is false, explain briefly why it is so. 00 ...

A: The given question is related with series. Given three statements.      (a) Suppose the infinite ser...

Q: K·C . a (1 – K · aw) · (1 – K - aw +C · K • am) M Мо

A: Given: MM0=K.C.aw1-K.aw.1-K.aw+C.K.aw

Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

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Q: Jan deposited an amount of money in the bank. If interest rate of the bank decreases from 4 3/43% to...

A: The rate of interests can be simplified as follows: 4343%=17543%,412%=92%

Q: 8. Let a be a nilpotent element in a commutative ring R with unity. Show that (a) a = 0 or a is a ze...

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Q: Yre y=

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Q: Find the number of ways to arrange three tennis player in a bench

A: Sitting arrangements

Q: UESTION 10 Use the data to find the value that corresponds to the 30th percentile. {23 ,27, 13, 35, ...

A: The 30th percentile of the dataset

Q: Is (x + 2) a factor of the polynomial: x^4 + x^3 - 2x^2 + 3x + 7, and what was the remainder? * no, ...

A: Solution

Q: A certain radioactive substance decays by 1.1% each year. Find the half-life of the substance, to 2 ...

A: Solution:-

Q: 5. Write the formal proof that 2"+2 + 32n+1 is divisible by 7 for all positive integers.

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Q: Examples Find the minimum SOP and POS of the following function using K-map f(a, b. c, d)= Em(0, 1.2...

A: Please find attachment for the details solution 

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: According to our guidelines we have to answer first three subparts if multiple subparts are posted a...

Q: n (b) Let A = :n eN. Show that sup A =. 2n +1

A: Given A = n2n+1 : n∈ℕ

Q: Find the pattern between these numbers in and state it as a function of x: 2 4 16 96 768

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Q: * e りこ0 ピッ そ= -> ズ

A: Introduction: The second order non-linear differential equation of the form  x2y"+xy'+x2-n2y=0 is re...

Q: Question Find the solution of the given initial value problem. (use Laplace transformation) ý + 4y =...

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Q: 2. Determine the 8th derivative of y with respect to x of the function 1 f(x) = 1+x2 and find the va...

A: Taylor series

Q: Using Gaussian elimination or Gauss-Jordan elimination, find the unknowns of the systems of equation...

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Q: Using the definition, not the table, find the Laplace transform of f(t) = 2, 0 ≤ t < 1 e^2, 1 ≤ t ≤2...

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Q: 2. Pinocchio's nose length y (in inches) is dependent on his lie count s. Geppetto has modeled this ...

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Q: y (In y - 2 x) dx + (x + y) dy = 0, (x + y) dy = 0, O(y)

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Q: roblem 4. Let w, y, z E Z[i] such that wyz, and let d be a gcd of w and z, show that wyd.

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Q: atb), a>0, b>0. 2 log (a cos 0+b² sin 6) de=r log %3D

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Q: 4n – 1

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Q: A- Find asymptotes for the following functions : (1) x2-1 2+x-x-3 (2) x2+ 2 x2-1

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Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the s...

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Q: 4.-lf 8 -1 -1 b = 1 3 Solve the system of linear equations Ax = b, where A is the matrix in Problem ...

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Q: Is w = zī harmonic ? if so find its conjugate.

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Q: QLet (X,t) be a topological space and A,E are two subsets of x show that : 3. A is closed set iff A ...

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Q: If our regressi

A: Given, if our regression equation is y=Xβ+u, where we have T observations and k regressors,  

Q: 3. A rectangular prism with dimensions 6 m x 4 m x 8 m (l x w x h) is shrinking. 8 m 4 m 6 m Answer ...

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Q: onsider the series (In(2n + 1) - In(2n 1)). n=1 ) Let an = In(2n + 1)- In(2n - 1). Does {a,} converg...

A: We will first see whether given sequence in (a) convereges or diverges.

Q: 9. Give a recursive algorithm for computing nx whenever nis a positive integer and x is an integer, ...

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Q: A bucket that weighs 4.6 pounds and a rope of negligible weight are used to draw water from a well t...

A: Please find attachment for the details solution