Give the definition of a rhombus and prove that the area of a rhombus is half the product of the lengths of the diagonals.

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A: if ∇f=0 at point P , then function must have a local extreme value at P.   Statement is True.

Q: 1-Cosh

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Q: You are given the information that B = (a, b, c) is an ordered basis of R, where • a = (-34,0, -8) •...

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Q: Is 66 a square mod 127? Is 80 a square mod 127?

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A: So here our technology matrix is 0.230.090.330.11 = B

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Q: Let's practice a proof by induction! 1 1 %3D 1.2 2.3 n (n+ 1) n+1 for any integer n > 1.

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Q: 2. Find all solutions of each of the following linear congruences. c) 17x = 14 (mod 21) a) 3x = 2 (m...

A: Given: To find the linear congruence of d)15x≡ 9(mod 25)e)128x≡833(mod 1001)f)987x≡610(mod 1597)

Q: Suppose z1 = 2+j, z2 3-j2 and z3 =-+j. Evaluate 25+21-5-2 25-+3-5 %3D %3D

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Q: Arden wants to buy a new generator. The generator cost $2550. Arden decided to finance the generator...

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Q: Uncle Josh spent $51 at a book store. He bought science fiction and mystery novels. The science fict...

A: Formulate a system of equations that describes he give situation. Use the method of substitution to ...

Q: Find the Fourier series associated with the given functions cos x, f(x) = to.

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Q: Brad decides to purchase a $265,000 house. He wants to finance the entire balance. He has received a...

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Q: Determine if the set of vectors shown to the right is a basis for R. If the set of vectors is not a ...

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Q: A line passes through the two points given in the table. Find another point that lies on the line. y...

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Q: Find the point at which the line meets the plane. x= -3+5t, y= -2+4t, z 3t, x+y+z= -5 The point is (...

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Q: Find the volume of the solid that lies under the elliptic paraboloid x2/9 + y2/16 + z = 1 and above ...

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Q: 1. Using the graph in the given figure, find each limit or explain why the limit does not exist. 0.3...

A: To find- Using the graph in the figure below, find each limit or explain why the limit does not exis...

Q: So" (8 + 4 co entage error in nu n the Trapezoida

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Q: F= xy'i + x'yj + 9 sin(x)k; D the region bounded by the conez- and the planes z= 4, z = 6 eBook

A: Outward flux using Gauss divergence theorem

Q: Evaluate the integral fr 2xy dA, where R is the triangle 3x + y 0, y > 0. Sr 2xy dA =

A: ∫R f(x,y) dA = ∫x1x2∫y1y2 f(x,y) dy dx or ∫y1y2∫x1x2 f(x,y) dx dy.

Q: Let A = (a1, . . as) and B = defines the product of the ideals to be (B1,.. Bt) be ideals in K. The ...

A: If A and B are ideals in K such that A=(α1,...,αs) and B=(β1,... ,βt), it is given that AB:=(α1β1,.....

Q: Linear Transformations In Exercises 9–22, determine whether the function is a linear transformation....

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Q: A real estate office manages an apartment complex with 60 units. When the rent is $710 per month, al...

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Q: 1. Which of the following functions have a derivative of zero? a) y=9.8 b) y= 11 5 c) y= -4+x d) y =...

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Q: The inverse Laplace transform is given by Select the correct response ro+jw 1 o f(t) = 2mjw .. F(s)d...

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Q: 10 Below is the graph of y = f(x). Find f(x)dx. Round your answer to three decimal places. 5- 5 10

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Q: Prove each of the following assertions: 1. a is valid if and only if Truea.

A: Since you have post multiple questions, so as per our company guidelines, we can solve first questio...

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Q: 9. What is the main purpose of Gage R &R? Write 2 or 3 lines.

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Q: (b) Since the solution is unique, the resulting formula must agree with the answer to Exercise 9. De...

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Q: F(1) = [cos (t – ;) + sin (t -))« (- -;) + sin (t –)] u (t – ;) 2

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Q: Atticus college predicts that in 18 years it will take $250,000 to attend college for 4 years. Madis...

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Q: Find a particular solution to y" + 7y' + 10y = -19te“. %3D

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Q: What is the angle in radians between the vectors a = (-9, -7, -2) and b = (-6, 1, 4)? Angle:

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Q: 1. Express the following numbers in polar form and plot it in a complex form а. 3+4i b. -3+4i C. -3-...

A: We have to find the complex number in polar form.

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Q: etermine the amplitude, period, phase shift, and equation of th = -3 cos (x - =) – 1. Then sketch th...

A: Introduction: For the function y=Asin(B(x+C))+D, We have, Amplitude is A, the period is 2πB, Phase s...

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Q: Prove that there does does not exist a unique positive real number, x, with the property that x squa...

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