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Q: Use Stoke's theorem to evaluate the integral curl F dS where S is the surface given by z = e1-a-y" –...

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Q: Draw a graph of a function that satisfies the following p 1) f(x) 0 for x>0 3) f(0) = 0 %3D 4) f is ...

A: Given description of function 1) f(x)<0 for x<0 2) f(x)>0 for x>0 3) f(0)=0 4) f is alwa...

Q: = 0,0 < x < a,0 < y < b dy dx² и(0, у) 3D 0, и(а, у) 3D 0,0 <у <b u(x, 0) = 1, u(x, b) = x, 0 < x < ...

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Q: Let z = cos(xy) + ycos(x), where x=s^2+t and y=s-t^2 . Find the partial derivatives (derivative z)/(...

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Q: Jake is participating in a car wash to raise money for his basketball team. Jake raised $90 washing ...

A: We want to find number of car Jake wash

Q: Apply the Trapezoid method to the ODE x′ = −x + t√x for two steps with x(0) = 1 and h = 1/4. Show th...

A: Given ODE is x'=x+tx Let f(x,t)=x+tx Also given initial condition is x(0)=1 and h=14 By Trapezoid me...

Q: ou want to buy a $258,000 home. You plan to pay 20% as a down payment, and take out a 4% APR loan or...

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Q: The resulting integral of sincos sine de has the form - F(@)+C· What should be the value of e to mak...

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Q: Let n be a real number and let e be a positive real number. Determine whether there exists a real nu...

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Q: Let f (x, y) = ln sqrt{ x^2 + y^2} a. Find the directional derivative of f at the point (3,4) in th...

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Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: 13. Consider a population P = P(t) with constant relative birth and death rates a and B, respectivel...

A: Since you have Posted a question with multiple sub-parts, we will solve the first three sub-parts fo...

Q: 2n+5 Sn= Зп-4 Find a1, a3 and EK=1ak 8.

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Q: BE f : C+ C GIVEN BY AND C IS THE CIRCLE OF CENTER IN z0 = a + br AND RADIUS r f(z) = z = + yr b 20 ...

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Q: are 2x - y - 20 efficient is

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Q: Find the solution of the DE using Laplace and Inverse Laplace Transform. x" (t) + 9x(t) = 5sin(2t) w...

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Q: Question 3 Solve for x: 32+104 x(mod5) 04 O 2 MAR 21 MacBook Air

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Q: a. Check Level Curves box. Slide k. You'll see the dark blue curves on the graph. Those are called t...

A: To plot level curves for given functions.

Q: (2) Use Stoke's theorem to evaluate the integral curl F. dS where S is the surface given by 2= e4-r-...

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Q: 6. If a series Eu, converges to the sum u then so does any series obtained from Eu, by grouping the ...

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Q: FIND THE ARG(Z) 0F THE FOUOWING compLEX NUMBERS

A: Solution

Q: No. 11

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Q: Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2, an...

A: Volume is the measure of the amount of space occupied by a closed surface. If a line segment of leng...

Q: Show that if T is a tree on n 2 3 vertices, then the average degree of vertices in T is not an integ...

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Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = A – int A (ii...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: 21. If f(x) = 2x - 1 an d gx) = 3x + 5, what is f(g(5))? 22. Graph the following equation. 4х - Зу -...

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Q: 2.) Calculate the curve integral over the vector field V(17, y) = ( * -2²y xy? for the positive orie...

A: Disclaimer: Since you have asked for a handwritten solution and currently we are not providing any h...

Q: dx For (x+x³) (x Tan-!x +1) =In[F(x)]+C. What is F(/3) if c = 0?

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Q: ac bc (mod mc). 14. Show that if a, b, and c are integers with c>0 such that a = b(mod c), then (a, ...

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Q: S (2- (2- sec2r) en(ale), secx -dr to be integrable using the formula What should be the value of A ...

A: We have to find the value of A.

Q: veetor fields, fnd its divegence, cuul oud gradient field. gradient vester field is always 2eo (f Fo...

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Q: . Use mathematical induction to show that 13 + 33 + 5³ +· · .+(2n + 1)³ = (n + 1)²(2n² + 4n + 1) whe...

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Q: Let Sn=Vn. Find an and show that an O but that Sn=ER=1@k diverges. ->

A: Solution:-

Q: (t+ 9) y" + 2t y = 0 y(3) = 2n У 13) 2/3

A: We solve the given IVP  (t2+9)y"+2ty'=0.....(1) y(3)=2π,y'(3)=2/3

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern ...

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Q: 20. Prove that an angle of 0 radians is constructible if and only if the real number cose(sine) cons...

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: Consider the given singular matrix, 8 -6 2 A 7 -4 - 3 If 15 is one of the eigen Value of the matrix ...

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Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: <) = x6 – x – 1 ection method eving an accur

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Q: F(x) is an antiderivative of x^-2+x^-1 what is the value of F(1)-F(-1)

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Q: e function f m (0,0) to

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Q: An unforced, undamped Duffing equation (see web and Kreyszig §4.6 for applications) can be modelled ...

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Q: 8. Consider the vectors [11, 2, 0, 1,0, 2], [0, 1, 1, 2, 1, 2], [2, 1, 2, 1, 1, 1]; [0, 1, 1, 1, 1, ...

A: We will reduce the matrix to see that any row can be made zero or all remain zero after operating. 

Q: Determine the following: 15.1 transpose of D 15.2 the trace of matrix D

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Q: +(= Sin3x-5x+ 12 %3D

A: MOSS :- Method of Successive Substitution   Given function is fx =sin3x -5x +12

Q: Show

A: We prove this statement by using definition of Borel Set.

Q: What is the order of the element $(\overline{2}, \overline{9})$ in $Z_{4} \times U_{10}$ is ( $Z_{4}...

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Q: Solve for [x]. Assume that lines which appear tangent are tangent. 7 8 X+5 x+1 O x = 3 Ox = 10 Ox = ...

A: To find- Solve for x. Assume that lines which appears tangent are tangent.

Q: Сompute 1. f dx, where f(x)=|x|.

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Q: 3.) Calculate the curve integral (1 – x² + y²) dx + (1 + 2² – y²) dy. Here C consists of the curves ...

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