Exe let gcx)=-2 +X? 3. i) show that g has afixed point in [-0.5, 1,4],

Q: Find x so the distance between (x, 2) and (1, 5) is V13.

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Q: Find all sojutions of the fellowing equation jn the interval [o, 2T). the 5sel x CSC X 10 CSCX

A: To find all the solutions of the equation 5secxcosecx = 10cosecx in the interval 0,2π

Q: - 2ry? = 0, y(0) = -1. The interval I of definition os (D) (-∞0, 0).

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Q: 35. f(x, y) = x² + 2y² – x; R is the disk x? + y? < 4.

A: fx,y=x2+2y2-x which is bounded by R, R:x2+y2≤4, where R is a disk Partially differentiating fx,y…

Q: uV cand Showw that: ne Be %3D Be av

A: Given Applying partial derivative on g with respect to x: Applying partial derivative on g with…

Q: For what values of h is v3 in Span{v1, V2, V3} ? Ta 2 -3, v1 v1 = 9. -7 -61 h

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Q: Find the average value of f(x, y) over the plane region R.

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Q: What is

A: Rational Numbers: A real number has the shape pq, wherever p and letter of the alphabet area unit…

Q: Show: Cov (X,Y) = E[X(Y – μY)]

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Q: Q5) Find the length and direction (when defined) of u x v anc v x u. u = 2i - 2j - k, v =i - k u =…

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Q: Solve the equation: u a uxx 0 0 u(x, 0) = f(x), u(0, t) = u(L, t) = 0_ %3D

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Q: Find length of the cardioid r-a03from 0 0 to 0 t %3D

A: To find Length of cardioid r=aθ3  where θ=0 to θ=π

Q: 2 -3 -2 2 3 Be The midpoint of AB = ([ ? ], [ ]) %3D

A: Midpoint of line segment with end points (x1,y1) and (x2,y2)is  x1+x22,y1+y22From graph endpoints of…

Q: af Find and ду f(x, y) = y +1 x+y

A: Explanation of the solution is given below....

Q: (a) Find x, y el such that x+y || x || .. = 1 = || y || = || ** ||**y. ∞o 2

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Q: 30. Let f(x, y) (x - y) (x + y) for which Find the directions u and the values c

A: Note: we, as company policy, solve the first question only and first three sub-parts. Please…

Q: Find a linear transformation T:

A: Consider the provided information, T11=23   and T1-1=05 Find a linear transformation T. We can put…

Q: Let A() be the altitude of a rockat in miles, t hours after noon. When will the altitude of the…

A: Given  h(t)=5t+7 where h(t) is the altitude of rocket in miles, t  hours after noon.

Q: U + 2ru, =0 IER, t> 0, u(x,0) =e=.

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Directions: Determine if AB is tangent 1. 2. 15 8. B 17

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Q: hup lict funcrion F(xig) = x?y -eto =0 P(e, 1) Find y" (e) = ?

A: Here to use implicit diffrentiation method for solving the problem

Q: Find proj,u and scalu by inspection without using formulas. 10- proj, u =D (Type your answer in…

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Q: af Find if f(x,y) = ysin xy

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Q: Evaluate ſ √x² + y²dxdy over the triangle with corners (0,0), (4,4), and (4,0) using x = u, y = uv.

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Q: af axdy of f (x, y) = xy(x+y — 1) — x² Find-

A: The given function is: fx,y=xyx+y-1+x2   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: Find x so the distance between (x, 2) and (1, 4) is v 5.

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Q: Plot z = sin(r)/r with r = Væ2 + y?, -8 < x < 8, -8 < y < 8.

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Q: 2. Evaluate 22 - iz dz, where the contour C goes from z = 1 to z 2 to z = 2+ 3i.

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Q: nctions at the indicated points of each (i) x = 1, (ii) x = 2 and x = 3/,.2(

A: f is continuous at x = 1 f is not continuous at x = 2 f is continuous at x = 3/2   The detailed…

Q: Find the intersection Point of the two Paint fo)=X, f6= OS (x) %3D

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Q: Vhat is the point of intersection of the given DE (9x – 4y + 4)dx + (y – 2x elect the correct…

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Q: Solve the equation: u = a uxx u(x, 0) = f(x), u(0, t) = ü(L, t) = 0 0 0 %3D

A: We have to find the general solution of given heat equation.

Q: Which properties does the relationship "is perpendicular to" satisfy? reflexive O symmetric…

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Q: Which properties does the relationship "is parallel to" satisfy? reflexive O symmetric transitive

A: From the reflexive property, any real number is equal to itself. This property does not satisfy the…

Q: B) Find real numbers x, y, z for the identity below 2xi + 2yj- 2i + 3j + 2k = 3i -j+ zk

A: (2x-2)i+(2y+3)j+2k=3i-j+zk On comparing both sides

Q: (ii) Assume that d = in E-coordinates and 7 in B-coordinates. y' Find a' and y' expressed in x and…

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Q: Find In z if z = (3+j4)³(8-j5)¹/³

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Q: jx-P,(x)dx, n= 0,1,2,... -1 Q.3 Evaluate:

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Q: Find the area of a triangle formed by the lines 2x + 3y = 24, I- 2y = -9 and the y-axis. O 21/2 sq.…

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Q: Write a in the form a = arT + aN N at t-0 for R(t) = t2i + %3D (t+r) + ( -r°*

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Q: は F-R m Show that u is 3. sauomphic to F

A: V is isomorphic to F3 means  There is a bijection map between V to F3 such that that bijection is…

Q: U what the closure of (-a12) in the the rightro

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Q: O Consider K points x1,..., X € C. Show that 0;x; € C, for >0; = 1,0; e R i=1 i=1

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: af Find if f(x,y) = y sin xy ax %3D

A:

Q: Find the distance between P and P(V 21, 0); Q(0, 2)

A: Given, points are  P21, 0 and Q(0, 2).

Q: J'n(x) =-J1(x) ulgn O ihi O

A: Jn(x) represents the bessel's function of first kind of the order n.

Q: Find the exact values of x and y. (x, y) = X

A: Solution: Consider the given triangle ABC. The objective is to find the values of x and y…

Q: "hat is the component fo = (1, –3) =(-1,2) nter your answer by fillin

A: The solution as follows :-

Q: af Let f(x, y) = e*/y, Find af and ax ду

A: Given,          fx,y=exy