f (x, y) tanx - sec²x - cosy
Q: (P,<) is a nonempty partially ordered set such that every chain in P has an upper bound, then P has…
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Q: How many perfect matchings does the “ladder” with 2n nodes (Figure 10.11) have?…
A: Here we have given that the ladder graph has 2n nodes. Now, start with the bottom-left node, If it…
Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…
A: We will use contradiction to prove it.
Q: QUESTION THREE A. A company manufactures three goods, X; Y and Z, each of which is made from three…
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Q: 21. (2xy + x²)dy + (2xy + y²) dx = 0 2. (3x² + 2xy) dx + (x²) dy = 0 A
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Q: The total cost C for a manufacturer during a given time period is a function of the number N of…
A: a) for N = 300 p= 50 - 0.05 x 300 = 50 - 15 = 35 For N = 500 p = 50 - 0.05 x 500 = 50 - 25 = 25
Q: 3. If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is…
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Q: Find a matrix A such that [is: is a solution for AX=X'.
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Q: 4. Two uniform vector fields are F = 2a, +3ā, -5ä,. Find ExF. given by E=-3a +5ā, +2㸠and
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Q: 8 times a number is added to twice the number, the result is 70
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Q: Find a vector parametric equation F(t) for the line through the points P = (1,0,-5) and Q=(2,3,-7)…
A: The vector parametric equation of the line that passes through the points: A=x1, y1, z1, B=x2, y2,…
Q: 2. + -+- 1.3 3.5 5.7 + + 1 n (2n-1)(2n+1) 2n+1
A: As per guidelines, I can do first question only.
Q: for x=(xy xn) € R", define the li -ToRm by ||selle₁ = ½ |xil lacil || i=1 Rove that is actually a…
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Q: Given U_1, ..., U_m, a collection of subspaces of some vector space V, recall that U_1 + ... + U_m…
A: Here, in the question, there is a collection of subspaces given. We have to give an example of the…
Q: Solve the system 1 2 3 4 || +s 1 1 +x2 2 +X3 3 +4 +4 || = || ܒ ܝܕ ܚܘ -3
A: The given system of linear equation x1+x2…
Q: The measured optical rotation of polyglutamic acid as a function of wavelength (2) can be fitted by…
A: The equation of a straight line can be represented using the linear equation: y=mx+b, where m is the…
Q: Define Systems of Dimension n = 2 ?
A: Dimension 2 is basically related to two variables, one is the length and the other is the width. It…
Q: 3. Sole the following simultaneous ODE y₁ = y₁ + y₂ y₂ = 3y1 - y2 1. Add file *
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Q: 5. Cubic Function y = x³ houstuplas
A: Solution 5: Given function is y=x3 Now Y-intercept: If we put x=0 then we get y=0. It means curve at…
Q: Translate the following in words. Identify whether it is true or false. Justify your answers.…
A: " ∃?,?∈ℤ+,?2 +?2 =2?? " In word : " there exist x,y belong to set of Positive integer such that…
Q: a) What is the flux of the constant vector field F = (a, b, c) through any closed surface? b) Is the…
A: Given That : A constant vector field F=a,b,c and F=x3,y3,z3 To Find : i) The Flux through of…
Q: f (x, y) x+ 3 ху 3 Бъ-х
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Q: Determine whether (p→g) ^ (p Vr) and -p V (q^r) are two logically equivalent propositions.
A: Given that (p→q)∧(¬p∨r)¬p∨(q∧r) Here we need to prove both logics are equivalent. For…
Q: 23. What is the value of lim h→0 (A) 0 (B) (C) (D) 1 1 32 1 (16+h)-2 h
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Q: (a) Sketch the surface whose equation is given by = 5π/6 (b) Convert the equation = 5π/6 to…
A: We have to use relation between cartesian and spherical system x=ρ sinφ cosθ , y= ρ sinφ sinθ , z=…
Q: Write the base five numbers 1234 five and 1.234five as base ten numbers.
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Q: Pacific salmon populations have discrete breeding cycles in which they return from the ocean to…
A: The difference equation modelling is given by Nt+1=f(N1) where Nt denotes the population size.
Q: A rental car agency charges $29.00 per day and 26 cents per mile. (a) Calculate the rental charge…
A: d=distance in miles x=no of days
Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…
A: Given : x1'=2x1-5x2 , x2'=4x1-2x2 , x10=2 , x20=3 To Find : (a) Categorize eigen value and eigen…
Q: Can arrowhead matrix be similar to a tridiagonal matrix?
A: An arrowhead matrix is one that is a square matrix with zero entries everywhere except on the…
Q: Consider the linear program Maximize the value of 2x1 - 3x2 among all vectors * R² satisfying 21 > 0…
A: We need to maximize: 2x1-3x2, given: x1≥0, x2≥0, x1≤1, x2≤1. A graphing utility can be used to plot…
Q: Consider the following linear programme L. maximise -6x1 + 5x2 + 3x3, subject to Applying the…
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Q: a) Provide a rough sketch of y as a function of 7 with 720. What are the features on your graph?…
A: It creates family of curve of exponetially shifted function with C .
Q: If ab + bc+ca=0, then solve a(b-2c)x² + b(c-2a)x+c (a-2b) = 0
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Q: 8. For the column matrix v=(v₁) we have explain then: (VA); =Vkaki
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Q: 17. (sin x) y' y cos x - sin 2x, y(π/2) = 2.
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Q: Express each of the following numbers in polar form (reje, with in radians) without using a…
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Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…
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Q: Consider the function f : R² fy(x, y) = (a) Compute the partial derivatives at the point (1, 0):…
A: Sol:- Part e Maximum rate of change of f(x,y) is the magnitude of the gradient at a point.
Q: Consider the sequence defined recursively by a1 = -1. 02-2, an+1=-8an-1-9an We can use matrix…
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Q: The formula R= -0.075t+3.85 can be used to predict the world record in the 1500 meter run, t years…
A: Given that formula R=-0.075t+3.85 is used to predict the world record in 1500 m where t is the years…
Q: 2. Find the value of each variable a, b, c, d, e, and f using Cramer's rule. 2ab + 3c + 4d +9e + 8f…
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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: A. A company manufactures three goods, X; Y and Z, each of which is made from three types of input,…
A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…
Q: y(4) + 3y" - 4y = 0
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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: If p(q=r) prove that x +q{r-p}x+p-q) = 0 has equal roots, ther 211 q = р
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Q: If lim f(x) = 7 and lim g(x) = -4, find the following. X-6 x →6 (a) (b) lim_ [f(x) + g(x)] X.6.....…
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Q: Q1 Solve the following differential equations dx + (x+y)dy=0 X 2x (x² + 5)² (B) y-6y +9y=e" cos…
A: As per bartleby policy, I've answered only one question. Please upload the rest two under another…
Q: If fixed costs are 5, variable costs per unit are 3 and the demand function P=25-8q obtain an…
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Test for homogeneity
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- Find all second partial derivatives of f(x, y) = ex + tan(x + y2).Explain of the method of proving the derivative (dy/dx) of y= U(x)V(x) where U(x)and V(x) are differential function of (x) , with two examples?Explain of the method of proving the derivative (dy/dx) of y=U(x)ᵛ⁽ˣ⁾ where U(x) and V(x) are differential function of (x), with two examples ?