atrix about the circled element is 190

Q: Suppose f(x, y, z) = x² + y² + z² and W is the solid cylinder with height 5 and base radius 6 that…

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Q: 80 =Consider the series Σ where p is a real number. a. Use the integral test to determine the values…

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Q: Find the equation of the osculating plane of the curve r (a sin u + b cos u, a cos u + b sin u, c…

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Q: Sketch the region over which the integration with the order of integration reversed. Evaluate both…

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Q: Although not part of Theorem 7.4.2, it is true that the product of integrable functions is…

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Q: Mat Skills Milestones A. Given f(x) = 2x*- 10x² + 12x - 9 1. Find the number of positive real zeros…

A: Given: Function f(x) = 2x4-10x2+12x-9 and g(x) = -7x2+x3+7x+15 To Find: The aim is to find the…

Q: 3 Calculate the following limits. In each case, clearly state any facts or results you use (for…

A: Use Limit rules to solve the question.

Q: Use spherical coordinates to evaluate the triple integral /// x² + y² + 2² dV, where E is the ball:…

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Q: a) Similarly to the unit vectors i and j in Cartesian coordinates, we can define unit vectors u, in…

A: To find the unit vector in the radial direction ur and uv in the azimuthal direction for any point…

Q: Exercise 6 Part 2 only!

A: 6.(2) Consider the faimly fn∈ C0([0,1],R) , n∈N defined by fn(t) = tn, for all t∈[0,1].

Q: n=1 4.5" – 5.4" 6″

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Q: Let A = -- 1 1 2 5 1 -4 4 -4 7 2 1 2 3 -3 and y = 4 1 Find an orthonormal basis of Col(A). Find the…

A: 1)Let v1,v2 ,v3 are the column vectors of given matrix A. Hence, v1=1-1-111v2=214-42v3=5-4-371

Q: An article in The Boston Globe headlined "Surgery offers no advantage for early prostate cancer,…

A: We are given the following information. Surgery offers no advantage for early prostate cancer,…

Q: please answer q 1

A: Let f1:N→S and f2:N→T be two bijections. Let g1:N→2N such that g1(n)=2n and g2:N→2N+1such that…

Q: nine whethe each of the following sets of vectors, linearly independent linearly dependent. If it is…

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Q: (D^2+4)y=4cos^2x ;y(0)=5/2,y'(0)=2 Find the general solution

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Q: 1 = f(y-x(2-x))dx 21

A: Given: I=∫02δy-x2-x dxTo find: The value of the given integral.

Q: 2. Show that the equation. has no integer solutions. 4x = y² + z² + 1

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Q: In the graph, E' is the image of E under a translation. A) Describe the vector for the translation…

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Q: P1 (a) Use the integral test to study the convergence of the series Is it absolutely convergent? 8…

A: The given problem is to study the convergence of the given series using integral test for…

Q: Evaluate the following integral using the Simpson's Rule by-hand. Hint: Will you use the 1/3 or 3/8…

A: To apply Simpson's (1/3)rd. rule the number of sub intervals must be an even number To apply…

Q: Evaluate the integral. 49-x² 7 So Iv 49- I 49-x²-z² 1 √49−x²−z² (x² + y² + z²)1/2 dy dz dx =

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Q: Solve the following system of differential equations: dx dy dt dt + = -2x dx dy dt dt with the…

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Q: Given that, u = cos(Act) sin(A. x) is an appropriate form of separated solution, solve the wave…

A: The given problem is to find the solution for wave equation partial differential equation with given…

Q: Using Stokes's Theorem In Exercises 7, 8, 9, 10, 11, 12, 13, 14, 15, and 16, use Stokes's Theorem to…

A: The stokes theorem:

Q: K Given circle O with center D and diameter AC in the figure below, find each angle measure. A = 1/2…

A: The given problem is to find the measures of all the given angles from given information by using…

Q: Find the polar coordinates of the point where r > 0,0 ≤0 ≤ 2π. 7 3m (Click on graph to enlarge) 0

A: We need to find the polar coordinates of the point in the form (r,θ).

Q: Use the Laplace transform to solve the given initial-value problem. y" - 9y' + 20y = 2(t-1), y(0) =…

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Q: A = [ 2 B =[ 3 C[ 1+i 5+2i 1 + i 15+i 3-i; i; 1-4i; 3i 52i 1- i 7 1 5 3+ i 4 + 3i; 3; -i i 2+5i; 4i…

A: The given matrices, A=25+2i3-i5-2i74+3i3+i4-3i1B=31+ii1-i13-i31C=1+i15+i1-4i3i5-i2+5i4i-3+i2-7i We…

Q: 12. Give an example XnPX with Xn, X € L² but Xn does not converge to X in L².

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Q: Suppose someone takes out a home improvement loan for $30,000. The annual interest on the loan is 6%…

A: The amount of home loan is $30000. The annual interest is 6% and is compounded monthly. The monthly…

Q: Bernoulli's Equation. Find a particular solution of the differential equation y^2dx + (2xy - x^3)dy…

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Q: nd the critical point of the function. Then use the second derivative test to classify the nature of…

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Q: Graph the equation by solving for the y-intercept, x-intercept(s), axis of symmetry, and vertex.…

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Q: Examine the graph of the function f(x) = 10x³ + 3x² - 12x. -5 -4 -3 -2 Estimate the interval(s) on…

A: We have to find the interval where rate of change of the function will be positive.

Q: : 4. Let f A → B be a bijective function. Construct a function g : B → A such that g(f(a)) = a for…

A: Given that, f:A→B be a bijective function. We have to construct a function g:B→A such that gfa=a for…

Q: 2. Prove that if M, N are countable sets, then M x N is countable.

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Q: Q8. Suppose g1₁ = 5 and g₂ = 4. The rest of the terms in a recursive sequence are given by the…

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Q: Find an equation for the plane through the points (5, −5, −7) and (14, −5, −9) and perpendicular to…

A: The given problem is to find the equation of plane that passes through the given points and…

Q: 3. Given that sin α = 15 7π (3π, 77) evaluate the following: 2 and tan 20 = 12 5 where a and 2ẞ lie…

A: Solution :-

Q: (d) xpy ↔ x² + y² = z² for some integer z; (1,0), (3,9), (2, 2), (3, 4) (e) xpy → x is a number from…

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Q: Consider the set X={a,b,c,d} with the discrete topology, construct a sub-basis of the space that…

A: Subbase for a topological space X is a collection of subsets of X which cover the whole set X.

Q: Find the acceleration of the particle at time t = 4.

A: Given that the function s(t)=t8e-t gives the position of a particle moving along l line…

Q: Problem 1 (Use R, please show your R codes and output) Consider matrix A = 0.75 -0.25 -0.25 -0.25]…

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: We will use relation between function and its derivatives to identify all required point s

Q: 0 = z(x/(x)A) + z((x),^) — (x) „Ax

A: Here, we need to solve the following differential equations.            xy''(x)-y'(x)2+y(x)x2=0…

Q: 2 (a) Use the Comparison Test to show that the series=1 4n3n²+3 converges. (You may use the fact…

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Q: Find the first four partial sums and the nth partial sum of the sequence an 1 2" an =

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Q: xy' + y = xy

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Q: Use Newton's method to estimate the two zeros of the following function. Start with xo = 1 for the…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to approximate the root of the equation:…