Let f(x, y) = x/y², g(x) = x² and h(x) = √x. Then f(h(1), g(1/2)) =?

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Q: (i) f(x) = sin x + {x/3}, where {.} represents the fractional part. (ii) f(x) = sin 7x-cos 4 3x - 4…

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Q: When the constant" c" is eliminated in the relation 2y² + 2xy = cx², Which of the following is the…

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Q: 2.5 (a) Prove that if x, y is a solution to ax+by = d, with d= gcd(a, b), then for all c Z, b x² = x…

A: (a) Let x,y is a solution of ax+by=d with d=gcd(a,b),  To prove: x'=x+c·bd , y'=y-c·ad is also a…

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Q: Without adding, find the sum of the first 15 terms of the Fibonacci sequence. Explain and show your…

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Q: 4) Find the value of +. 5.) How many days will chiz finish the job?

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Q: Determine the eigenvalues of the inverse of the following matrix: 0 - 2 8 1 1 1 -2 1 - 8

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Q: Find the number of 3-digit integers that are not divisible by 4, 5, or 6.

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Q: 5. Find the basis for and the dimension of the solution space of the homogeneous system of…

A: We have to find the basis and dimension of the solution space of the homogeneous system of…

Q: The point 3 is in the range of the function given by f(x,y) = (2x^2)/(x^2+y^2) True or False

A: False Suppose the point 3 is lie in the range of f(x,y). Then there exists a point (x,y) such that…

Q: Problem 1. Determine the cardinality of the following sets. For sets which are "uncountably…

A: Note: As per the honor code, only one question can be answered at a time and up to 3 sub-parts only.…

Q: Consider the following three curves 1. F(t) = (2+t, 2-8t, 7-19t), t20 II. F(t) = (25 sin(t), 25…

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Q: dy 1 dx √1-x² ; y(0) = 0 dy=x√√x² +9; y(-4) = 0 dx dy dx = = re-* ; y(0) =1

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Q: The accompanying bar graph shows the resident population and the land area of a particular country…

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Q: Determine whether the following polynomials form a basis for P2? x² + 3, x²-3, 6x - 3 O The given…

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Q: Let p and q be two consecutive odd primes. Prove that p + q is divisible by at least 3 primes, not…

A: The details are given in step 2. The idea is to use a certain properties of primes.

Q: 11. The complement of {0} in the Sierpinski space is A.open but not closed B.closed but not open…

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Q: Consider the angle shown below that has a radian measure of 0. A circle with a radius of 2.7 cm is…

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Q: 2.22. Let f be a function from R to R. Without using words of negation, write the meaning of "f is…

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Q: If the accumulated value of an investment that is growing at 3.17% compounded monthly is…

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Q: 2.9. (-) The negation of the statement "No slow learners attend this school" is:† a) All slow…

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Q: If you drive 16 miles south, then make a left turn and drive 12 miles east, how far are you, in a…

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Q: given quantity. (See Example 2.) 7. the sum of an even integer and an odd integer

A: We know that Sum of even integer and odd integer is always odd integer

Q: There are infinitely many primes of the form 6n+5.

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Q: Suppose f: A → B and g: BC. (i) Prove that iffis onto and g is not one-one, then gof is not…

A: One-one (injective function ) : A function is one-one if every element of the range of it…

Q: j LIT of the initial 2x dy dx value p = y + 2x cos(x); y(1) = 0

A: Solution to the differential equation

Q: Let Br(X) denotes k-th Bernoulli polynomial and B be the k-th Bernoulli

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Q: 9. The set {0} in the indiscrete space X is A.open but not closed B.closed but not open C.both open…

A: In the indiscrete topology  open sets are empty set and set x itself. Hence the closed set are empty…

Q: Find y(0.2) of 3y'+2x-y+1 = 0 ;  given y(0) = 1 and h = 0.2  Solve using 4th Order Runge-Kutta…

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Q: Calculate the amount of interest earned on a $6,000 investment made for 3 years at 3% p.a.. Round to…

A: Given that P=$6000, Time = 3 years and Rate = 3%we have to find the interest

Q: Consider the vector field F (y cos(xy), x cos(xy), — sin(z)) and the curve C parametrised by r(t) =…

A: Arc length of curve r(t) from r=a to r=b  L=∫abr'tdt

Q: 12) Use the given function to evaluate, then graph both functions. (2x+1, x 1 a. g(-2) b. g(0) d.…

A: The given functions are, gx=2x+1,x<02x+2,x≥0 and hx=-x+3,x≤1x2+2,x>1 We have to sketch the…

Q: Suppose f: A → B and g: BC. (i) Prove that iffis onto and g is not one-one, then gof is not…

A: Suppose that f is onto and g is not one-one. We can find elements in B to witness the fact that g is…

Q: Sketch a contour map of the function given by f(x,y)=x2-y2 showing the level curves at the given…

A: The graph a three dimensional surface is represented by the equation: z=f(x,y). If the graph of…

Q: 1. determine if it diverges or converges n e2n n=1

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Q: Z F(z) FCZ) = e CZ-1) Sin (1) find and classify zeros and Singularities

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Q: Suppose that a and b belong to an integral domain and b ≠ 0. Showthat <ab> is a proper subset…

A: Let R be an integral domain. A commutative ring R is said to be an integral domain if non zero…

Q: 4. The conventional algorithm for evaluating a polynomial anx" + an-1x¹ +... + a1x + ao at x = c can…

A: Algorithm Polynomial (c, ao, a1,...,an: real numbers) power = 1; y = a0 ; for i = 1 to n power =…

Q: Bisection method: 1. Use bisection method to obtain the root of the equation x³+4x² - 10 = 0, which…

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Q: is the answer 3834.0143?

A: A calculator can be used to evaluate complex mathematical expression.

Q: A = -i+2j+k Ď= -5t + 3j-k - Find the following: a) 2A C+3D B . . B = i +4j+5k E = -37 + k Ċ =…

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Q: Given the space curve r→(t)=⟨2t,t2,2t⟩ Find the curvature (as an exact value) of r→(t) when t = 1

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Suppose that S is the portion of the surface {z {0 ≤ z ≤ 1}. Let F = (-2xy, y, 3x). 5 - x² - y²}…

A: The given vector function is null, and the surface is z=5-x2-y2 confined to 0≤z≤1. To Evaluate:…

Q: n nt [-] paying less in interest, which is more economical for a $190,000 mortgage: a 30-year…

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Q: Use the method of Frobenius to solve the following ODE. y"-(4-5x)y=0

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Q: The bar graph on the right shows the average cost of room and board at four-year public and private…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: 20 12 7. The depth of water along a coastal inlet varies with the tide. On a summer day, the water…

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Q: The angle below has a measure of 5.2 radians. -3 5.2 rad ● X= 1.99 • y = Preview -3.6 1 Preview 3 2…

A: Answer)  Giventhat: radius of the circle(r) =4 Central angle (theta)=5.2 radians Find out the exact…