Look at the model. Which equation does the model represent? O A) 20 3. O B) ? OC) 20 20

Q: 92°/x 41°

A: We have to find angles x and y. We know that Sum of angles of a triangle is 180o ∴ y+41∘+92∘=180∘⇒y=...

Q: Q1: Find the Fourier half range sine series and Fourier half range cosine series of the function rep...

A: From the given graph the function is,  f(x)=x0≤x<121≤x≤2 The fourier series is of the form, f(x)=...

Q: Example : Solve for y if 1. e5y = sin x

A: We will take logarithm both sides with respect to e.  

Q: Find the solution of the following second order differential equation d²y(x) dx2 dy +x*+x² y(x) = 0 ...

A:  We need to solve the given differential equation x2 y '' + x y' +x2 y =0  , assuming a solution of ...

Q: 7. Find two power series solutions of the differential equation about the ordinary point x = 0: (x² ...

A:

Q: The graph above is a transformation of the function Write an equation for the function graphed above...

A: We use the concept of  translation of graphs to find the function g(x), whose graph is given.

Q: Sketch the graph of the following and find the area of the shaded region.  Find the area of the regi...

A:

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet,its height...

A:

Q: A tree service is to fell a tree. A rope is attached to the top of the tree to determine the directi...

A: Given that  The height of the pole is 6 ft  Distance from the pole and tree is 20 ft  To find the fo...

Q: d?y dy 20. 4 + 4y = 2e2x – 12 cos 3x - 5 sin 3x, at y(0) = -2 and y(0) = 4 dx2

A:

Q: Q: Solve the following differential equation: In(y? + 1)dx + 2y-1) dy = 0 y2+1

A:

Q: (3) Prove that Sina cos a -Sinß cos B siny cos ß sinß cosy sin(2 + B+y)

A: We find determinant of RHS side to prove result. 

Q: Q: Let S, and Szare two subrings of a ring (R, +,.), prove that S, USz is subring of R iff either S,...

A: I jave used the definition of subring

Q: the result of summation shown is x(t)8(k - п)у (k) k=-∞ O x(n) y(n) O x(t)y(n) O x(n)y(t) O x(k)y(n)

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Q: Find the equations of both the tangent lines to the ellipse x^2 +3y^2 = 9 that passes through the po...

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Q: This question is from the subject "Partial Differential Equation"

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Q: Trigonometric Integrals ∫(√(sin3z) - cos2z)(√(sin3z) + cos2z)dz

A:

Q: Create an equation with an infinite limit at x=6, horizontal asymptote at y=5, and a point of discon...

A: Infinite limit at x=6 Horizontal asymptote y = 5 Point of dis continuity at x= 0

Q: #3. Consider the function xy2 if (x, y)# (0,0), f (x, y) = {x2+y2 if (x, y) = (0,0). Calculate the d...

A: Given function is fx,y=xy2x2+y2if x,y≠0,00          if x,y=0,0 We have to calculate the directional ...

Q: Exercise 12: Show that the set of divisors of a non-zero integer a is finite. Hint: apply Theorem 3 ...

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Q: (a) Approximate this integral using Simpson's Rule with n = 4. (b) Find an upper bound for the error...

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Q: Q: Solve the following differential equation: In(y? + 1)dx+ 2y(x-1) dy = 0 y2+1

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Q: Differential Equations   Given the differential equationy''−5y'+4y=0,  y(0)=1,  y'(0)=−1Apply the La...

A:

Q: 「一0x 01 f(x) = 0ミxsi

A: Given F(x) = -x for x<0              x2 for 0 <= x <= 1              1 for x > 1   So we...

Q: Which of the following can be represented by a triangle? path О суcle сycle tree O network

A: Option (a) path. Because there is a concept of triangular path in the literature.

Q: THIS QUESTION IS NOT GRADED.

A: (1) (a) given that f(x, y) has a local minima at the point x0, y0 then                         f'x0,...

Q: Use set Identities and membership table to prove that (A-B)-(B-C)=A-B.

A:

Q: Consider the linear system dY Y dt (a) Show that the function te2 Y(t) = -(t + 1)e²" is a solution t...

A: (a) If Y(t) = te2t-(t+1)e2t is a solution of the differential equation , then it must satisfy the di...

Q: tadeined bagthe Sel 7o that for*)is theereo fof (6++1 be gran@ and atbE G Afarbi -

A: In the first question, we will check the 4 properties of group. In the second question we will use t...

Q: Q3:If the two vectors A= 3i +2j + 5k, and B= 2i - j+4k, they located in the x and y plane, find the ...

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other questi...

Q: Instead of using the standard definitions of addition and scalar multiplication in R³, suppose these...

A:

Q: I need Question No: 3 Just

A: From the given information, it is observed that P = $1000, r = 7.2% = 0.072, and t = 5 years. Note t...

Q: -(a). Is the following a Linear Transformation? Please give complete details of your work. OL Uz Us ...

A: L( u1 , u2 , u3 , u4 ) = ( u1 , u2 , u3 , u4 ) . This is an identity linear transformation. 

Q: Find the equation of the tangent plane to the graph of 7y f(x, y) = at the point (4, –1). (Use symbo...

A: We will find the first order partial derivatives and use the formula to find the tangent plane to th...

Q: 3) 9ry dA, R is the triangle with vertices (0,0), (0,3) and (4, 3)

A: Given integral to evaluate ∫∫R9xydA R is triangle with vertices 0,0,0,3,4,3 The triangle will be  

Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:     

Q: I included the solution, but I am still confused about this question. Please help and thank you.

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Q: nstead of using the standard definitions of addition and scalar multiplication in R, suppose hese tw...

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Q: What is the difference in perimeters of the two figures below?

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Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a ...

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Q: (2) dx -

A: We will use the substitution, ex = t and use algebraic identities to evaluate the integral.

Q: Find the inverse of the matrix and verify that A-A = A A = 1,

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Q: Ryan and Nathan ordered a case of 'Back to Back Champions T-shirts for $450. They each kept one for ...

A: Let x be number of tshirts Therefore x t-shirt ordered for $450 They kept 2 so remaining tshirts = x...

Q: No. 4 and No. 5 po

A: (4) Given that ∀m∈Z+, m>0 (a) The english sentence is, For all m is in positive integer then m is...

Q: In professor Shannon’s economics class there are 12 male students. Females represent 60% of the clas...

A: Let there are total x  female student in the professor Shannon's economic class. Then, total student...

Q: This question is from partial differential equation please sir g give me answer immediately

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Q: Show that Null Space of Ax = 0 is a subspace. show that 1.0 is in the space, 2. it is closed under a...

A: Show that vector addition and scalar multiplication holds. A detailed solution is provided in the im...

Q: Jon saw that 4 of a pan of granola bars was left. He wanted to eat 2 of what was left. How much of t...

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Q: [1 3 5 0 9 0 0 0 1 8 1 3 50 9 Find the four subspace for the given matrices. A

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Q: In a linear program to maximize Profit = 125X, + 100x2, under which of the following circumstances w...

A: If a linear programming problem has more than one optimal solution then the slope of the objective f...

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.