2. If f(x) is an even function and g(x) is odd function, then a) f(x) g(x) is an function. b) f(x) g(x) is an function.

Q: Contrapositive of p → q q PTTFF TFTF

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Q: (a) Let f: R 11 k=1 R be a function given by f(x1,x2,...,xn) = x²₁x²...x2, where 1. Show that the…

A: As per our guidelines we are supposed to answer only one question. Here first question answered.

Q: 1. How many grams of a drug are there in 850 ml of a 1 in 130 w/v solution ? state andwer to 3…

A: Note: according to our guidelines we can answer only first question  1)   Given solution is 850 ml…

Q: Question Five (a) Let f: RR be a function given by f(₁,2,...) = ...., where P Σ-1. Show that the…

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Q: 3) By changing the independent variables x and y to u and v by means of the relations u xay, v = x +…

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Q: 1. Evaluate the following limits: x³-1 if x < -1 5x²-x-4' 3. Let f(x)=4x² + 3x-2, if-1<x<2 √5x + 6,…

A: a) Consider the given piece-wise function, fx=x3-15x2-x-4,    if x≤-14x2+3x-2,…

Q: The value of B in the equation 3x+9y=1

A: Given: 3x+9y=1 To find: Value of b in given equation.

Q: Show that for the Legendre polynomials Pn the following holds for all n E N (n+1) Pn+1(x) − (2n…

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Q: 2. Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = x²…

A: Given curve is y=x2, x=1 and x=2. We have of find the volume of the solid obtained by rotating about…

Q: 2(p^2+q^2)=x^2+y^

A: Given,           z2(p2+q2)=x2+y2

Q: Find the quotient of B/A. Use pivotal method in solving for ALL (3x3, 2x2, ...) determinants. 3 1 3…

A: given, A=3137077468328491, B=45675678678978910 B/A=BA-1A-1=1Aadj(A)let adj(A)= C for get the…

Q: Find a, b, c such that the following change of order of integration holds: 3 clnx LL f(x, y)dydx =…

A: The given integral is                 ∫13∫0ln xf(x,y) dydx

Q: Suppose G(r) is the generating function of a sequence (an)o, satisfying G'(r) =rG(r), G(0) = 1. i.…

A: Solution : G'(r)=r G(r) G'(0)=0×G(0)=0 ∫G'(r)G(r)=∫r G(r)=cer22 G(0)=1c=1 G(r)=er22 G(r)=∑i=0∞x2ii!

Q: Determine the 2nd degree Taylor polynomials Q(x, y) for f(x, y) = ln(x² + y² + 1) for (x, y) near…

A: Given function is fx,y=lnx2+y2+1. We have to find the 2nd degree Taylor polynomials Qx,y for the…

Q: 4. In Chebyshev polynomials form, the value cos 20 = ... a) (T₂(x) + T₁(x)) c)(T₂(x) - T₁(x))) O b O…

A: Solution

Q: The board of directors of SSS Inc., have de

A: Given that the board of directors of SSS Inc. has declared a dividend of P18,000,000. The company…

Q: (a) Assume that g(x, y) is a function of the form g(x, y) {} 0 if (x, y) = (0,0). (i) Show that…

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Q: Let f(x) be a function given by 0 for - < x < 0, f(x) = sin for 0≤x≤T. (a) Prove whether f(x) is a…

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Q: Multiply: 7(cos 45° + i sin 45°) and 8(cos 15° + i sin 15°) solve all of its z-values if it is…

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Q: Number of radioactive nuclei (millions) 500 250 125 63 4 31 5 16 i) Write down an algebraic rule…

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Q: 3. List all the entries of the following sets: a) A = {a la € Z+ and -11 < a ≤ 11} b) B = {b | b =…

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Q: ii) in triple cross of vectors (A × B) × C = C × (B × A). iii) A is 2 x 2 unit matrix, B inverse of…

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Q: Apply the eigenvalue method to find a general solution of the given system. Use a com or graphing…

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Q: vergence for lim 6-0 sin h hº cos h h 0.

A: Given that limh→0sinh3-h3cosh2h=0. The rate of convergence can be calculated by evaluating the…

Q: Describe matrix multiplication of two matrices A and B in terms of linear functionals (the linear…

A: Solution:-

Q: Linear Algebra Question: Suppose x1, x2, x3 are 3-tuples in R^3 satisfying the following: a. x1 is…

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Q: An e-market company is planning to expand into two new markets, on the basis of a broad market…

A: Solution : Market 1 : The number of customers will increase by 800 each year. Market 2 : The number…

Q: 1 Find the quadratic approximation of f(x) = arctan(x) at c = Round the coefficients to four . √√3…

A: The given function is           f(x)=arctan(x)=tan-1(x) To find the quadratic approximation of the…

Q: If the zeroes of a rational function has 2 real, and 2 imaginary roots, then the number of the…

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Q: Maximize  z = 8x + 9y,  subject to the following constraints. −3x  +  y ≤ 3 2x  −  4y ≤ 8 x  ≥  0,…

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Q: Define a vector field in space as follows: F(x, y, z) = (x + 2z, y -cos z, x³ + 2z). Suppose E is…

A: Given  F→(x,y,z) =x+2z, y-cosz, x3+2z Then  div(F→) =∇.F→=i∂∂x+j∂∂y+k∂∂z.F→…

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: We have to find the growth rate.

Q: The function f:P (₂)→Xº for X is a two-element set (0,1) is?. a) Bijective b) Surjective c)…

A: Bijective

Q: Use the Divergence Theorem to evaluate ff F-n do where S F(x, y, z)=(x² +cos yz, y-e², z² + x²) and…

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Q: 4. A composite function Function from your design Disregard desmos restrictions. Set sliders to 0 or…

A: To find: The instantaneous rate of change of a particle at x=A.

Q: Use the graph of the function f' to estimate the intervals on which the function fis (a) increasing…

A: First order derivative test is used to determine whether a function is increasing or decreasing in…

Q: Solve the equation using Variation of Parameters (D² + 1) y = tan x

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Q: Let R be the rectangular region defined by the following. R = What is the value of the following…

A: We have to find the value of the integral ∫∫R3 dS where R=0,1×0,2=x,y∈ℝ2| 0≤x≤1, 0≤y≤2

Q: Using both trapezoidal and Simpson rule, find the approximate values for the integral sin 2² dr; n =…

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Trapezoidal rule:…

Q: (b) Let g(x)=√x with domain {x|x ≥ 0}, and let > 0 be given. For each c> 0, show that there exists a…

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Q: Fill in the blanks. 1. If f(x) is a linear function and g(x) is a quadratic function, then a)…

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Q: “Assignment problem is a special case of transportation problem where the number of sources is equal…

A: To discuss: Assignment problem is a special case of transportation problem.

Q: If the Laplace transform of a function f is defined and denoted by F(p), find an expression for the…

A: The solution is given as

Q: e) If a convex function f: R→ R satisfies f(10) = value for f(7)? = -4 and f(20) = 30, what's the…

A: Given that f:R→R is convex function with f10=-4, f20=30.

Q: 1) Write down the first 5 terms of each of the following sequences: {bn}a_1, where bn = nth digit of…

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Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c, where a,b…

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Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 49 The solution is - 2√/y = In (x-9)-…

A: The given initial value problem is                                      ydx+(x-9)dy=0, y(10)=49 We…

Q: 11+12/mod 13) mod 13

A: We have to add to find the value.

Q: 3.) Evaluate ff cos(x-y) sin(x+y)dA, where R is the triangle with R vertices (0,0), (-л,π), and (,)…

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Q: Marissa converted an RRSP balance of $125,000 into an RRIF that will pay he $1,850 at the end of…

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