:The partial derivative (fy) for the function 7sin (x²), (f(x, y) = COS (2y)

Q: x=4-s+t Find a vector of length √2 which is perpendicular to the plane π=y=1+ s-t z = 1+s+t

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Find the sloution of the given DE dy - Y X dx y + x Yexact y(0) = 1, h = 0.1 at x = 0.5 7 ? (find…

A: We have to find the exact solution to the given differential equation.

Q: A function is of the form y= sin(kx), where x is in units of radians. If the value of k is 3.70,…

A: A periodic function is one that repeats itself throughout time at a constant rate. It's written as…

Q: - x − xdy) is eva = 1/- traversed i 4 direction. The int

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Q: Juan Pablo runs a factory that makes Blu-ray players. Each T50 takes 6 ounces of plastic and 4…

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Q: The line represented by 3x-4y=16 is dilated by a scale factor of 3 centered at the origin. Which…

A: The dilation is the way of transformation. Every parent figure can be dilated by a scalar factor. By…

Q: A function is of the form y = sin(kx), where x is in units of radians. If the value of k is 3.70,…

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Q: (A) Estimate the area under the graph of f(x) = 3x³ + 4 from a = -1 to = 4, first using 5…

A: Riemann Sum for ∫-143x3+4dx with n=5 rectangles, using midpointsfabxdx ≈Δ…

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: The given equation is of the form x2+y2+2gx+2gy+c=0 which is the equation of the circle Therefore…

Q: Question 2. Find the critical points of the function g(x, y) = x²y + 4xy.

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Q: What is the implicit solution of the problem using x and y as the variables? The question wasnt…

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Q: Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax…

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Q: Four pencils are held together with a band. The figure on the right shows the bottom end of the…

A: We have to find the length of the band which is holding four pencils together. The lower end of the…

Q: Q7) If you know that N= [3:3:15; 6:6:36; 4:4:20; 7:7:35; 9:9:45], answer the next questions to make…

A: Since you posted multiple questions, we will solve the first question for you. Kindly repost other…

Q: 7. The snowshoe hare population in a newly created conservation area can be (t) = 50 + 2500t² 25+12,…

A: Given a model of snowshoe hare population over time t, pt=50+2500t225+t2 where p represents the…

Q: Solve the following system: x'₁ (t) = −x₁ (t) + 2x2 (t) + 2x3 (t) — 2 x' (t) = 2x₁ (t) + 2x2 (t) +…

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Q: Determine all bilinear transformation which transform the half plane Re(z) >=0 into the unit circle…

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Q: Q2: Determine the particular solution of the difference equation y(n) = y(n-1)-y(n-2) + x(n) assume…

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Q: 24. Solve 6sin³ x - - 13sin² x + 2sin x + 5 = 0. x € [0,27]. Determine exact values, if possible,…

A: Given equation is 6 sin3(x)-13 sin2(x)+2 sin(x)+5=0 for x∈[0,2π]   To Determine exact value, if…

Q: Q3: The demand and supply functions for labour are given by: Labour demand function Wd=70-4L, Labour…

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Q: VIP seating at a local outdoor concert costs $118 per seat. General admission seating costs 43%…

A: Given, VIP seating costs is $118 Also, general admission seating cost is 43% less than VIP seating.

Q: ملاحظة: اجب عن ثلاثة افرع Q2) A club has 20 member a) In how many different ways could the club…

A: Introduction: The permutation is the act of putting all the members of a set into a sequence or…

Q: Suppose that we start with the sequence 1 1 1 1 1 1 '2'4'8'16'32'64' If we denote the above sequence…

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Q: (b~ v d~) → (b d)~

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Q: Q3. Interpolate the following data to estimate the pressure at 1.05 minutes using 2nd order…

A: Interpolating polynomial is an approximate polynomial that passes through the given data points.…

Q: QUESTION: What information does a quadratic expression in the vertex form reveal? Vertex form: y =…

A: Find what information a quadratic expression reveals in the vertex form. The vertex form of the…

Q: Let Us Enhance Answer the following problems using the concept of arithmetic sequences. PROBLEM 1.…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 1) Utt = Uxx 0<x< 1, u (0₁ t) = u(lit) = 0 u (x₁0) = — sin π X - 1 sin 3₁X 1 Ti 20 ut (x,0) = 0…

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Q: (c) 60 70 M 30 14 6 10 | | 3 5 7 2 20 바 30 6 3 60 20 10 | 5 70 14 7

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Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

A: We have to find the characteristic equation for matrix A. Then we can proceed further.

Q: 14. The expression "a mod b" is used to mean "the remainder obtained when a is divided by b". Which…

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Q: 4. The point Zo of |Z| ≤ 1? A. an interior B. a boundary C. an exterior D. an isolated + H|4 2 4 i i…

A: Since you have posted a multiple question according to guildlines I will solve first question(Q4)…

Q: c) 3x-2 x³ (x²+4)

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Q: Given: z = x² + xy³, x = uv² +w³, y=u+vew əz Find when u = 1, v = -1, w=0 Əv

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Q: The integral (ydx - xdy) is evaluated along the circle x² + y² - traversed in counter clockwise…

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Q: R3 → R3   be the linear transformation that projects u onto   v = (6, −1, 1).Find a basis for…

A: We have given that ,  T : ℝ3 → ℝ3  be a linear transformation that projects u onto v. Let , u = x ,…

Q: Q4: Consider the function L(a) as an even function and expand it using an appropriate Fourier…

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Q: 7. Given the function f(x, y, z) = x² + y² + z² + xy + xz, find the gradient at P(1,2,1).

A: Must Know : Gradient function is given by ∇f=∂f∂xi+∂f∂yj+∂f∂zkGiven : f(x,y,z)=x2+y2+z2+xy+xz…

Q: 13. Point B is located on circle A as shown below. (a) Using a compass and straightedge only,…

A: Given: A circle shown in the picture below: To construct: A tangent line to a circle A at point B

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: The given integral is ∫0π sint dt To find: (a) definite integral by Trapezoidal rule and Simpson's…

Q: et F be the collection of

A: To define, T(G)=∫G(z-y)dG(y),G∈F

Q: Show that the interval [0,1] is a closed set in R

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Q: sits $13,000 at the beginning of each year for 16 years in an account paying 8% compounded annually.…

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Q: N/Woor 0 A = -2 2-4 15 0 a) The characteristic polynomial is p(r) = det(A − rI) =

A: We find required eigenvalues, eigenvectors .

Q: cos x is y(x)=tan (C+ sinx). With the initial condition y(0)=0, the solution y(x)=tan (sin x) is…

A: The differential equation given is as follows: dydx=1+y2cosx Given that with the initial condition…

Q: Q1: Expand the following function using sine-cosine Fourier series: H(r) = 2-r, -2 <r < 2.

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Q: Q/ Find the integral 1 + X dx 1-X

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Q: solution of the differential 4dy e²x + 4y = ² dx Find the particular d²y equation dx²

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Q: 3. Express the negation of these propositions using quantifiers, and then express the negation in…

A: We know that , a proposition is a mathematical statement which is either True or False. Quantifiers…

Q: Q6: Suppose £6500 is deposited at a nominal rate of interest of 5 % per annum. Calculate: The value…

A: The Principal amount invested P = 6500 rate of interest R = 5% per annum (a) The value of investment…