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Q: Nine runners are entered in a 100 meter dash for which a gold, silver , and bronze medal will be awa...

A: Given that the number of runners in the 100 meter dash is 9. The runner finishing in the first place...

Q: The linear transformation T is given by T(v) = Av. Find a basis for (a) the kernel of T and (b) the ...

A: Given the transformation T(v)=Av where A=21311001-3 The nullity of T is the dimension of the kernel...

Q: 5. What values should be assigned to coefficients a1, a2, and az, so that the quadrature formula f(x...

A: Click to see the answer

Q: 2. An artillery shell is fired from the top of a 450-foot ridge with an initial velocity of 860 feet...

A: The height is y=−16t2 + 860t + 450 a. Find the height of the shell after 6 seconds. At t = 6, y=−166...

Q: Please do #34. (1)First need to draw a graph of the region — and copy it on your paper. (2) Show t...

A: Sketch the curve:

Q: If the probability that event E will occur is 3/13, what is the probability that E will not occur? (...

A: The probability that E will not occur is given by subtracting the probability that event occur from ...

Q: Let L : +t 2 be a line and P(5, –1, -2) a point. Let Q be the closest point on L to P. !! a) Find th...

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Q: 1.

A: 1. (a) Given z1=-1+2i and z2=-2+i are 2 complex numbers. Then, z1-z2-iz1+z2+i=-1+2i--2+i-i-1+2i+-2+i...

Q: x + 2y + z Does the linear transformation T: R³ → R° given by T y 2x + 5y + 6z have an inverse? -2x ...

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Q: (а) Prove that p(n) p(2n) = if n is odd; 24(n) if n is even. (b) Generalize ç(2n) = 24(n) for all ev...

A: Here we use the formula φ(n)=n∏p|n1-1p.

Q: this is for my calculus HW. and im completly stuck. please show all steps so i can learn and continu...

A: Redraw the figure and consider angle φ which is the angle the ship could have taken wrt west:

Q: The function f(x,y) = 3x2 - 2xy + y2 + 8y has one stationary point. What is the location and discrim...

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Q: Consider the function f(x) = 2x³ + 24x² – 120x + 5, - 10 < r < 3. This function has an absolute mini...

A: f(x)=2x3+24x2-120x+5Differentiate w.r.to xf'(x)=6x2+48x-120f"(x)=12x+48 Now, f'(x)=0⇒6x2+48x-120=0⇒x...

Q: If 1600 square centimeters of material is available to make a box with a square base and an open top...

A: find the explanation below

Q: f(x) = sqrt 9-x, [-16,9] If the Mean Value Theorem can be applied, find all values of c.

A: Consider the given function as fx=9-x and the interval is -16,9. Using a graphing utility, sketch th...

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and f''(x)=-1(x+1)2

Q: Find the sum of the series Σx7n-2/n! from 0 to infinity

A: The objective is to find the sum of the series ∑n=0∞x7n-2n!

Q: Match the numerical values to A, B, C, D in the calculation shown below. 31 В 31 A 3 C Drag statemen...

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Q: Q) S = the part of the paraboloid z = 10-x^2-y^2 above z = 1 F = [x^3, xy, z] Find the flux of F acr...

A: The vector field is F→=x3, xy, z. Given: S = the part of the paraboloid z=10-x2-y2 above z=1. The fl...

Q: 14. Find the eigenvalues and bases for the eigenspaces of 425 for -1 -2 -2 A= 2 1 -1 -1

A: If a is eigenvalue of matrix A then ak is an eigenvalue of matrix Ak.

Q: The fractional value of 5– +6= is 5 (The answers form 3 the three parts of a mixed number. The first...

A: Given: 513+625 First add whole numbers 5+6=11 Now, combine fractions 13+25=1115

Q: (c) Let ɛ be a number so that 1 > e > 0. Explain why the integrals dx, dx x2 -1 can be computed usin...

A: For (c), Let ε be a number so that 1>ε>0. Now, we will show why ∫ε11x2dx, ∫-1-ε1x2dx can be ...

Q: Homework question is attached

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Q: 1)Solve with graphical method a) Max Z=xyS.t x=2y 0≤x≤20 0≤y≤20 x,y≥0 b) ...

A: NOTE: According to guideline answer of first three similar subpart can be given, so for third please...

Q: (a) Consider the integral dx. Why can't this integral be computed using the Fundamental Theorem of C...

A: Solution for a: Given integral is ∫-111x2dx We can write the above equation as ∫-111x2dx=∫-101x2dx+∫...

Q: Advanced Math Question

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Q: Find the future value of an ordinary annuity of $4,000 paid quarterly for 4 years, if the interest r...

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Q: Determine whether the following equation is a solution to the corresponding differential equation.

A: The given differential equation is didt+200i-50=0 ............(1) It is required to determine whethe...

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Q: Two digits are selected without replacement from the digits 1,2,3,4,5,6,7,8 Use the counting princi...

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Q: Let A = {2, 3, 4, 5, 6}, B = {11, 12, 13, 14, 15} and define the relation R from Ato B by aRb if a|b...

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Q: Using appropriate Tests, check the convergence of the series, x2 1 + + x* 2' 5V3' 8V5

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Q: You buy one IBM July 90 call contract for a premium of $4 each share and one put contract for a prem...

A: From given data, Call contract Premium of each share= $4 Put contract premium of each share= $2 Stoc...

Q: Suppose a fair coin is tossed two times. Construct an equiprobable sample space for the experiment, ...

A: Given: A fair coin tossed two times.

Q: Help me fast so that I will give good rating. Evaluate triple integral

A: We have the given triple integral is ∫∫∫Dzex2+y2dxdydz where the region of integration is D=x,y,z|x2...

Q: Problem

A: In the list of n numbers, the maximum number of splits that are needed is the least integer greater ...

Q: A function and its first and second derivatives are given. Use these to find each of the following. ...

A: Given that, the function is fx=27x-223x2 "It is known that, If the polynomial in the numerator is a ...

Q: Consider the patch σ(u, υ) = (u, υ, u' + υ') nere u, v ER. Find the formula for the Gauss map G, and...

A: Given the patch, σu,v=u,v,u2+v2. a) σu=1,0,2uσv=0,1,2vσu×σv=ijk102u012v=−2u,−2v,1σu×σv=4u2+4v2+1Th...

Q: Proof of Bessel’s inequality

A: We need to prove Bessel’s inequality: 12a02+∑k=1∞ak2+bk2≤1π∫-ππf(x)2dx. For (a), For any n≥1, define...

Q: Honors : REVISITING THE PYTHAGOREAN THEOREM WITH SIMILARITY 15 In Lesson 2.3.2. you proved the Pytha...

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Q: DISCRETE MATH PROBLEM Suppose that a school has 8 freshmen, 10 sophomores, 12 juniors, and 20seniors...

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Q: The question I would like assistance with is posted below:

A: Given that each of the equal sides measures 246.75 ft. The angle between these sides measures 125°12...

Q: L{t}(s) = / t dt te -at %3D

A: Here we use integration by parts.