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Q: a student orders a pizza 1 day she eats half and 2 day she eats 1/3 of the rest 3 day she eats 1/4 o...

A: Given Information -  A student orders a pizza. In Day 1 she eats half of the pizza. In Day 2 she eat...

Q: Choose whether the following statement is true or false. Average rate of change of a function betwee...

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Q: 19. If CI(A) denotes the closure of A, which of the following is not correct in general for a set A:...

A: Definition: Let X be a topological space and let A⊆X. The interior of A is the set IntA=∪V | V⊆A an...

Q: Determine whether ⊂,⊆⊂,⊆ , both, or neither can be placed in each blank to make the statement true. ...

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

Q: 1. Find the equation of the hyperbola satisfying the following conditions: Vertices 4. (+7,0) and e ...

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Q: The Laplace transform of sin( 3t) is Select the correct answer +9 18 54 +9 30s 54

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Q: Let z = x + yi, z2 = 1– 0.5i , and z, + z2 = 3 – 1.5i. Find In(z,) – In(z2) %3D A) In(25) ± 2niN D) ...

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Q: Find the standard matrix of the linear operator M : R → R³ that first rotates all vectors counter-cl...

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Q: What is the closest value to the instantaneous rate of change of the following function at x = T? f(...

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Q: Consider the function: a – 62² + 11a – 6. This function has three roots at r, = 1,2, 3. (a) Construc...

A: Use the given function and formula of Newton's method to construct g(x). Superlinear have order of c...

Q: The area bounded by the x-axis and the parabola y = 6 - x - x?

A: The solution is given as  

Q: solve the following D.E COsy dx + (1+e) siu ydy= %3D

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Q: Find ſ xJ3(x)dx

A: We will evaluate the required integral.

Q: Vector equation of the circle (x + 3)2 + (y - 2)² = 16 is: %3D (A) 7(t) = (B) 7(t) = (C) 7(t) = (D) ...

A: The given equation of the circle is (x-3)2+(y-2)2=16 We have to find the vector equation of the circ...

Q: What is the sixth-order Taylor polynomial for f(x) =/1+2x² about xo = 0? (A) 1 + x² – 8 16 x6 (B) 1 ...

A: Taylor series of a function f(x) about x=a is defined as:  f(x)=f(a)+f'(a)1!(x-a)+f''(a)2!(x-a)2+f''...

Q: If f(x, y) = 3e-2x cos (y – 2), then the linear approximation at (0, 2) is (A) 3 – 3x (B) 3+ 6y (C) ...

A: A function of 2 variables can be linearized using the partial derivatives. The formula for the linea...

Q: Refer to the Pseudocode for Bisection Method. Suppose we want to use this algorithm to find a root o...

A: Given equation is fx=x+1x−3.   According to the note in the first line of the question, the question...

Q: Q7. Let A = [(p ^ ~q) → (~p V ~q)] → p. Complete the truth table below and determine statement A is ...

A: (a) We can use a truth table to check if statement A is a tautology, contingency, or contradiction. ...

Q: If F= 2y I- 3J +x²k and s the surface parabolic cylinder y= 8x in bounded by the planes OF the 2. th...

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Q: Required Informetion Consider the graph a) identify the type of greph Mutole Choice Mugraph Med grap...

A: given graph claim- to identify the type of graph 

Q: Where is the function f(r+iy) = 4y – 5ix differentiable? Where is it holomorphic? Determine it: deri...

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Q: a) Seperate the roots of f(x)=xsin(x)-1 b) Use Bisection method to approximate the root in [1, 2] wi...

A: (a) Given,              f(x)=xsinx-1

Q: 2(a) Given that f(x, y) = 6x²y³ – cosx + 5y – siny + 10x, establish the fact that, the order in whic...

A: Given that, fx,y=6x2y3-cosx+5y-siny+10x

Q: Describe the transformation of the following function. y = log (-3(x+1)) – 2 (a) Vertical Stretch or...

A: The function can be transformed using the translation and reflection of the function. The function c...

Q: [o 0 -20 0 -71 1. Consider A = |2 4 -10 6 12|, and evaluate the followings: [2 4 -10 6 -5] (a) Find ...

A: We are given the matrix  A=00-200-724-1061224-106-5 We have to find basis and dimension of  i) row s...

Q: Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find %3D (a) A-B+C (b) A×C×B

A: we have given vector A, B, C and we need to find (a) A-B+C and (b) A×B×C

Q: What is the closest value to the instantaneous rate of change of the following function at x 2? f(x)...

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Q: If the wronskain w(f,g)=cost + sin t, find Wu,v). Where : u(t) = f (t) +4g(t), v(t) = f(t)–3g(t) %3D

A: Given that Wronskian W(f,g) = cost+sint  We need to find W(u,v) , where u(t)=f(t)+4g(t) and v(t)= f(...

Q: An equation of the tangent plane to the surface 2+y z = at the point p(1, 7, 3) is 2+x (A) (x – 1) -...

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Q: 1. Prove that C(n, r) = n!/r!(n – r)!

A: Since you have asked multiple questions we will solve the first question for you. If you want to be ...

Q: а%3D 0.5, b%3D3, с%3D-3 c = -3 2 ес y = l0.5

A: Excel uses various inbuilt functions to compute a mathematical expression. For example, the function...

Q: If 2L of solution needs to be administered through an IV over 24hours, then how many mililitres of s...

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Q: Show that the following differential equation is homogeneous and solve it. (x² + y²)dx + (x² – xy)dy...

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Q: Suppose I is an open interval (a, b) and f is a function defined on I which is strictly monotone inc...

A: Suppose I is an open interval (a, b) and f is a function defined on I which is strictly monotone inc...

Q: (a) Show that v.ve =p²o, where v- S+ denote the Laplacian operator

A: We will prove the following result.

Q: Find the Fourier series for the etion fon) = |x\, -2{*<! %3D what happens at x==2 and x=0 ?

A: Period  T =3 Frequency  ω=2πT=2π3 a=-2, b=1 The Fourier series is a0  +    ∑K=1∞ ancosKωx+bnsinKωx a...

Q: 7 19 3 17 Activity 3 It says that in order to end the game one must hit a double ring, bulls eye or ...

A: The given figure is:

Q: !_0 sxs 27 sin x 6. Which set of values is the solution for ? a) -0.34, 2.80 b) 5.94, 3.48 c) 1.91, ...

A: Since you have asked multiple questions we will solve the first question for you. If you want to be ...

Q: z# sin(z²yz) Let f(r,y, z) = %3D 12 find at the point (3,0,0) O 4 O 12 0 6 0 8

A: Given: f(x, y, z)=x2exzsin(x2yz)12 To find: ∂5f∂y∂z∂3x at the point 3, 0, 0.

Q: Q6 Consider the planes I,, II2, Ilz determined by the equations II, : a - 6y + 2z = 2 II2 : - 3a + 1...

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Q: radius of convergence of the power series 2*/n is

A: We will find out the radius of convergence.

Q: OSolve the exaat differential equar x+8xy)dx (4x²+l8y)dy=0

A: A differential equation is an equation that involves derivatives or differential coefficients or dif...

Q: Given the vector valued function: T(t) = Then the point 9 units along this curve (in the direction o...

A: Tangent vector two a curve always point in the direction of t increasing.

Q: 8. Given the function (x) = (x - 2) and g(x) = -x+3. Which function represents the combined function...

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Q: Please use method from Abstract Algebra, Show that the polynomial 37a + 30a + a4 = 1500 does not hav...

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Q: Show that the given set of functions {sin nx, sin 3rx,sin 5nx, ...} is orthogonal on the given inter...

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Q: Prove that the equation Z = 1 has no solutions in positive integers x Y, z.

A: To Prove : Prove that the equation xy + yz + zx = 1 has no solutions in positive integers x, y, z.

Q: 2 log (0.001) -4

A: For a positive number n, the logarithm of n is the power to which some number b must be raised to gi...

Q: The solution of the DE (1+ cot²x)y' = cscx coty is cosx + In|secy| = c cosy + In|cosx| = c siny + In...

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Q: Solve the following system of equations : 2x, + 3x2 + 3x, = 5 X1 - 2x2 + x3 = -4 3x, - x2 - 2x, = 3 ...

A: NOTE: According to guideline answer of first question can be given, for other please ask in a differ...