,2t 4 + et dt

Q: 14. (i) Describe the system of planes (A diagram may be helpful). (ii) Solve the system if possible.…

A: Given the system of equations as 6x-4y+2z=72x+y-4z=3-15x+10y-5z=354 so, we have to solve this system…

Q: 60 50 40 30 20 10 -10 110 10 20 30 40 50 Katie is a lifeguard and spots a drowning child 50 meters…

A: Note: Pythagorean theorem:  For a right-angled triangle , we have (Base)^2 + (Height)^2 =…

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A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 6. (a) (b) (c) (d) (e) True/false. Give a one sentence justification. A singular 2 x 2 matrix can…

A: .

Q: Omar has decided to finance a $25,000 car at 8% interest compounded monthly for 10 years.  Determine…

A:

Q: Draw the subgroup lattice for Z28-

A: Draw the subgroup lattice for Z28

Q: 4. (Section 17.8) Use the Divergence Theorem to calculate [[F F-dS, where F = y + ryj – zk and S is…

A: To use the divergence theorem to calculate ∫∫SF⋅dS.

Q: 2. A toy rocket is launched from the ground and the arch can be modelled by the following equation,…

A: Given function of height is  h = 19- 0.4(t-7)^2 Where t is time after launching in second.

Q: nd the Fourier series for the given function. f(x) = - {% 9 9 - fox) = 2 -² 2₁2²2_sin((2m = 1xx) Σ…

A:

Q: Show that R(u, v) = (5u + 2, u – v, 9u + v) parametrizes the plane 2x -y-z = 4. Then: (a) Calculate…

A: To find- Show that R→u, v = 5u + 2, u - v, 9u + v paramerizes the plane 2x - y - z = 4. Then:…

Q: Use the extended Euclidean algorithm to find the greatest common divisor of 9,090 and 936 and…

A:

Q: 5. The GCF of any even number and any number divisible by 3 number is always 6. Falls

A: Let us consider the two numbers      a = 2      b = 3

Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

A:

Q: 3 X W Compute ww, x.w, and using the vectors w = - 1 W W -5 w.w= (Simplify your answer. Type an…

A: We know that ℝn is the vector space consisting of n tuples over the field ℝ. In particular, for n=3,…

Q: For each integral, state which trigonometric substitution you would use to integrate by…

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Q: Use a proof by contradiction to prove the following: П For all 0 € R, if 0 1 2

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Q: f(x) = e²x cos(x)

A:

Q: An orthogonal basis for the column space of matrix A is {V₁, V₂, V3}. Use this orthogonal basis to…

A:

Q: prove the ITT₂TT, ITKITI"

A:

Q: Solve the problem. Given the total-revenue function R(x) = 7600x, and the total-cost function C(x) =…

A: A graph is said to be continuous at a point if its graph does not break at that point. Also, LHD…

Q: If the gradient of f(x, y, z) at (1, 2, 3) is 2i – 2j +k, then the maximum value for a directional…

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Q: nction of the differ dy dx + y 1 (1-x)

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Q: Let R be the region bounded by y=sinz, y = 0 and 2 = with 0≤ ≤. Find the centroid of R.

A: Centroid bounded by the curves

Q: B. Find the area of the region bounded by the following: r = 8 sin 1²/1/20 16.

A: The given curve is r=8 sin2θ2 To find : The area under the curve.

Q: Solve the homogeneous system 3x1 + x2 + x3 + x4 5x1x2 + x3 x4 = = 0 0.

A:

Q: Give an example of a finite group that is not abelian.

A:

Q: (a) Find a vector parametric equation for the part of the saddle z = xy inside the cylinder x² + y²…

A: The equation of surface is defined by the part of the saddle z=xy inside the cylinder x2+y2=36.

Q: Let A = PDP-1 and P and D as shown below. Compute A4. 1 1 - 2 0 P= D= 2 - 2 5 01

A:

Q: 2.f(t) = cosh wt sin wt

A:

Q: A demand function for a product is P = 100 – 2.2Q and its supply function is P = 2.8Q, where P is…

A: Given: The demand function for a product is P=100-2.2Q and its supply function is P=2.8Q, where P is…

Q: Let V be a finite dimensional inner product space and T a non negative operator on V. Then T has a…

A:

Q: Consider the following basis functions: (sin(x), log(x), 11. Using Least Squares on given data set…

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Q: 1+2 e-kt cos kx = k=1 sinh t - cosht cos x

A: To prove / disprove: 1+2∑k=1∞e-ktcoskx=sinhtcosht-cosx

Q: A patient needs 2mg of a medication. The Australian Injectables Drug Handbook states that each gram…

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Q: For full credit, you must show all work and box answers (where appropriate). 1. (Section 17.6) Find…

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Q: Write x as the sum of two vectors, one in Span ({u₁,42,43) and one in Span (U4). Assume that…

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Q: Let -10 ū= ‚V: -2 and let W the subspace of R4 spanned by u and 7. Find a basis of W+, the…

A:

Q: 5. Show that x³y³ lim (x,y) →(0,0) 2x¹2 + 3y4 does not exist.

A:

Q: Jse table of values to graph this one g(x) = -2(x + 1)³-1

A:

Q: 4. (a) If X is an infinite dimensional space, show that the set {x = x | || x || = 1} is not…

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Q: 8. If a plan is moving horizontally at 100 mi and is falling at 10 mi how fast must an observers eye…

A: Solution

Q: and (mod 18), calculate (17)(49°. (496 –76+1) (mod 19)

A:

Q: QUESTION 14 Find up to isomorphism all Abelian groups of order 18.

A: To find- Find up to isomorphism all Abelian groups of order 18.

Q: Find the volume of the region W bounded by x² + y² = 1, z=1-2²-y², and z=1+z²+y².

A:

Q: Suppose you want to have $500,000 for retirement in 20 years. Your account earns 4% interest. How…

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Q: nd sine half range for f(x) = \cos x for -1<x<1 COSX for 7<x< 0. f(x) COSX for 0 < x < π.

A:

Q: . Show that the operators T₁,, T4 from R2 into R2 defined by (1, 2) (1, 0) (§1, §2) (0, §₂) (§1, §2)…

A:

Q: Compute ||w| using w= ||w|| || = 7 5 -4 (Type an exact answer, using radicals as needed.) LO

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Q: he amount of goods and services that costs $400 on January 1, 1997 costs $428.68 on January 1, 2007.…

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Q: (x2 – 4xy – 2y2) dx + (y2 + 4xy – 2x2) dy = 0 Solve -

A: