Prove that the distance of the roots of the equation sin 0₁ 2³ + sin 0₂2² + sin 031 z + sin 041 = 3 from origin is greater than 2/3.

Q: 1. ( (PV RAQ) (PARVQ))

A:

Q: Exercise 6. If ||·|| is a norm on the vector space E, show that the formula d(x, y) = ||y — x||…

A:

Q: 18. Given the polynomial irrational roots. f(x)=2x²-x²-5 . use linear interpolation to approximate…

A: Given: The polynomial is fx=2x3-x2-5. To find: The roots of the given polynomial.

Q: In Exercises 12-22 construct a direction field and plot some integral curves in the indicated…

A: The given differential equation is  y'=y(y-1) To Find: Construct the direction field and also plot…

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

A: We first find the set of all the possiblity pf paths between C and D. Then we see the cardinality of…

Q: Please answer and write correctly and neatly. Given the vector field Ā= 2x2y ax – 2(z-x) ay + 3xyz…

A: Given That : Vector field  A→=2x2yax-2(z-x)ay +3xyzaz Point P=(2,-3,4)  To Find : d) y coordinate of…

Q: Given temperature function: T(Robs)[°C] = 40Rx e-R-R3-R2 +100.0 Plot the function on desmos.com…

A: Given That : Temperature Function : TR→obs°C=40Rxe-Rx2-Ry2-Rz2+100 To Plot the graph of the function…

Q: 4) The values that U takes depends on the values that are taken by C and P. Specifically, U(C,P)=CX…

A:

Q: (x², y², z(x² + y²)) around any closed curve on the surface of Show that the circulation of F = the…

A: Circulation of vector field F around a close curve C = ∫CF.ds If parametric equation of curve C…

Q: Define/Explain what a Fact and a Truth is in terms of mathematics.

A: Lets briefly define what is the difference between fact and truth.

Q: Lending institutions often charge fees for mortgages. One type of fee consists of closing costs.…

A: Mortgage amount is $349,000 Loan origination fee or point is 3% of mortgage 3% of this mortgage is…

Q: Ex #4 Solve 9-4x<3x+2<-1, where xe R

A: We have to solve 9-4x&lt;3x+2&lt;-1 , where x∈ℝ

Q: The volume V of a sphere with surface GUA SE Calculate the rate at which the volume of a sphere is…

A:

Q: If |Z| ≤ 1 and w) ≤ 1, then show that |zw|2s (1z|-|w|)² + (arg z - arg w)²2.

A:

Q: Solve this puzzle, if possible: PQRS + PQRS + PQRS = SRQP. Take note P, Q, R and S are all different…

A:

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: To find- First, verify that the given vectors are solutions of the given system. Then use the…

Q: Solve for Inverse Laplace s+ 2 F(s)=- s² (s²+1) 5² +3

A:

Q: If the roots of the quadratic equation x² + px + q = 0 are tan 23° and tan 22°, then find the value…

A:

Q: Use Stoke's Theorem to evaluate (V x F). dS where M is the hemisphere x² + y² + z² = 9, x ≥ 0, with…

A:

Q: Let n = Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of…

A: What is Quadratic Equation: When a quadratic polynomial assumes the value zero, that equation is…

Q: If ab + bc+ca=0, then solve a(b-2c)x² + b(c-2a)x+c (a-2b) = 0

A:

Q: The family of circles with center on the line y = 3. A B 1+ (y − 3) y''+ (y') ²=0 1+ (y-3) (y)…

A: please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: Show F(x, y) = (4xy³ + 6)i + (6x²y² + 2e²¹)j LF is conservative by finding a potential function f…

A:

Q: If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square…

A:

Q: 2. Check that each given function is the general solution of the differential equation. (a) y" - y =…

A:

Q: Consider a region D enclosed by the surface S with outward normal n. Use the divergence theorem to…

A: Given: The position vector is r=x,y,z. A region D is enclosed by the surface S. The normal n is…

Q: CLEICE If (Y, Ty) is a subspace of (X, T). Then each open set in Y is open in X if I only if Y is…

A:

Q: Let D(z) be "z is a day", S(r) be "r is sunny", R(1) be "z is rainy", M be "Monday", and Th…

A:

Q: Let T₁, T₂, be the following bounded linear operators ¹ T₁(x₁, x2. X3,) = (x₁, X₁, X₁, X₁, ...)…

A: Here, in the question, there are given the bounded linear operators l1→l∞ which are given as…

Q: What is the importance of mathematics in your/our life?  5-10sentences

A: Mathematics makes our life orderly and prevents chaos. The qualities which are improved using…

Q: 2) If the Newton-Raphson method is used to solve the equation f(x)=x²e*cos (2x) and x = 0.75, then…

A:

Q: (a) Draw a graph with nodes representing the numbers 1, 2,..., 10, in which two nodes are connected…

A: To find-  Draw a graph with nodes representing the numbers 1, 2,..., 10, in which two nodes are…

Q: Find a quadratic equation whose product of roots x₁ and X2 equal to 4 and satisfying the relation X₁…

A:

Q: Find the DE of parabolas with vertex and focus on the x-axis.

A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h  where a and h…

Q: Ex #2 Solve: -4x+122x-5, where x = R

A: What is Inequality: In mathematics, an inequality is a statement that holds true between two values.…

Q: 2. Use the tables to find the inverse z transforms of the following a. Z z+4

A: Introduction: Finding the time domain signal x(n) from its Z-transform X is known as the inverse…

Q: Find the differential equations of the following primitives by eliminating the arbitrary constants.…

A:

Q: Let x₁, x₂ are the roots of the quadratic equation x² + a where a, b are complex numbers and y₁, y2…

A:

Q: Find the value of a for which one root of the quadratic equation (a² − 5a +3)x² + (3a-1)x+2=0 is…

A:

Q: With two independent eigenvectors?

A:

Q: ! n=3. Required information NOTE: This is a multi-part question. Once an answer is submitted, you…

A:

Q: Let x₁, x₂ are the roots of the quadratic equation x² + ax + b = 0, where a, b are complex numbers…

A:

Q: ای )porve ereco if: er f= 3² szt.dt de

A:

Q: The table below gives, for a certain man, his height H = H(t) in inches at age t in years. t = Age…

A:

Q: If p(q=r) prove that x +q{r-p}x+p-q) = 0 has equal roots, ther 211 q = р

A:

Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: Given system is x1' = x1 -5 x2x2' = x1 +3 x2

Q: 100 200 ↑ fa↑ 200 100 A D f₁ f₁ 150 f₁ fa↓ 100 B E 200 100 ↑ C F 100 150

A:

Q: Eliminate the arbitrary constant. y=Ax 5 + Bx3

A:

Q: Problem H10 Using the same system, translate these base ten numbers into base sixteen numbers: a. 97…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 8 times a number is added to twice the number, the result is 70

A: