Find an equation of the tangent plane to the surface z = 3a + 3y + xy at the point (-1,-1,-5).

Q: Let Zeven represent the set of even integers, {... -6, -4, -2, 0, 2, 4, 6, ...}. Determine if the…

A: (i) Closed: Yes, the set of even integers is closed under addition, meaning that when two even…

Q: This exercise should be done two ways: by hand and using technology where possible Let x 1 w…

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Q: 10. a) Given the functions f(x) = x + 2 and g(x) = 3*, determine an equation for (fog)(x) and…

A: Here,  we have to find composition of two functions.

Q: Let z = − √ 3−i. (a) Please find |z|. (b) Please find the argument of z. (c) Please express z in…

A: Given: z=-3-i. To Do: (a) Find z. (b) Find the argument of z. (c) Express z in polar form.

Q: How many first-place votes are needed for a majority in the election? 57.5 Vel 30.5 Vites 35 Veles C…

A: According to our guidelines we are only supposed to answer the first three questions. Kindly repost…

Q: DEFINITION 10.1.1 Let f be a function defined on an interval [0, o0). The Laplace transform of f is…

A: Lapalce transfermation.

Q: f. If Europe has approximately 3.7 million mi of land, what is the total area of land on Earth?…

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Q: How can we prove that the root of (3+2√2) is (1+√2) by geometry, drawing or using a square?

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Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x.…

A: We have to write the system of linear equations in the form Ax = b and solve this matrix equation…

Q: Let an be recursively defined by a₁ = 3/4, an+1 = n 1. Find lim an. n-∞ n n+2 a² for

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Q: Shells The region enclosed by the x-axis and the parabola y = f(x) = 3x - x² is:

A: Given  fx = 3x-x2    Use the method of cylindrical shells…

Q: Answer true or false for the following statement. 37 96 (mod 19) Is the statement 37=96 (mod 19)…

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Q: This exercise should be done two ways: by hand and using technology where possible. Let A = 0-202 0…

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Q: Consider the following system. dx dt Find the eigenvalues and eigenvectors. Number of eigenvectors:…

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Q: Find an equation of the tangent(s) to the curve at the given point. Then sketch the curves, and…

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Q: The second-order system x + 2(x + x = initially at rest, is given the input f(t) = Au(t) and the…

A: As per the question we are given the following second order non-homogemeous linear system : x'' +…

Q: 3) If, u=f(x,y) and x=rcos, y=rsine, show that Laplace's Equation 1 0²u ar² 1 du + r ər + agܐ = 0.…

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Q: Find the standard form of the equation with the given characteristics vertices (-2,-4) (-2,6) foci…

A: We have to find out the standard form of the equation of hyperbola with the given characteristics…

Q: Consider the differential equation dy dx Now use four steps: y(1)~ (Be sure not to round your…

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Q: A certain function f is given by the graph -8 8 Find all horizontal asymptotes of f, if they exist.…

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Q: Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated…

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Q: EXERCISE 1.12.4: Proving arguments in English are valid using rules of inference. Prove that each…

A: I will prove the argument are valid by using rules of inference

Q: The graph of y = P(x) for the interval −2 ≤ x ≤ 4 is shown below. CO -2 -1 - 4 3 2 Evaluate lim…

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Q: To get a B in​ math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests…

A: Given, Scores on the first four tests are 81​,76​, 83​, and 77.

Q: g(x, y) = = sin(xy) xy Prove that g is continuous on R². if (x, y) = (0,0) if x = 0 or y = 0.

A: Given  g(x,y) = sin(xy)/xy  if (x,y) does not equal to (0,0)                1  if x=0 and y=0

Q: A= = X = [1 #1 X2 X3 X4 -4x2+1 ₁+ 4 13+0 x₂ +0x3+4 ₁ + 0x₂+-4 X3 Then AX = 0 the span of {M₁, M₂},…

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Q: Algebraically model the following exponential functions using either 0.9 or 1.1 for the base. a)

A: To write the model equations for given graphs and using 0.9 or 1.1 as a base

Q: Use the method for solving Bernoulli equations to solve the following differential equation. dx dt X…

A: Given differential equation is dxdt+3t5x7+xt=0.

Q: 9. The pH of a solution is calculated by using the formula pH = -log[H*], where [#*] is the…

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Q: PDE.12 d²T Find the most generic solution to the time equation (PDE eqn 17) dt² Note: -v²k²T. Note:…

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Q: 6. Find a harmonic function p(x, y) satisfying Ap= 0, y > 0, -∞ 2 Write your solution in terms of…

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Q: The distance, d, in metres travelled by a boat from the moment it leaves shore can be modelled by…

A: Given that  dt = 0.002 t3 + 0.05 t2 + 0.3 t,   where t is time in seconds    (a)  d10 = 0.002…

Q: 3. R a Figure 1: Problem 3 Consider any AABC, where the bisector of ZBAC intersects the bi- sector…

A: We draw the perpendiculars from Q to the sides of the triangle, intersecting at R, S and P.  Now,…

Q: Every canonical function is one to one

A: As per the question we have to show that every canonical function (in context with Boolean algebra)…

Q: Q8: Solve the following partial differential equation using separation of variables method a²T 18T…

A: The partial differential equation is defined as an equation that contains more than one independent…

Q: Let f(x)be defined on the closed interval [a, b] such that the point a secant line passes through…

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Q: To get the best results from caridiovascular (220 exercise, you can use the formula R = 0.69 A),…

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Q: Let y(t) be a solution of y'= y(1) such that y(0) = 12. Determine lim y(t) without finding y(t)…

A: Solution is given below:

Q: #7: A model for the change in the number of woodland caribou in Manitoba can be given by 6(850-P),…

A: We are given          dP/dt = 6(850 - P) . . . . . . . . (1)     And P(0) = 853 . . . . . . . . . .…

Q: 5) Solve the system of equations using a matrix. Describe the geometry of the solutions. x + 3y + 6z…

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Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

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Q: 5. 6. 7. What rule of inference for quantified statements is being used in mathematical induction?…

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Q: Use the rules of inference and the laws of propositional logic to prove that each argument is valid.…

A: Answer: B)            (b)              p→q∧r                               ¬q…

Q: Prove or disprove: U = {ƒ €R[x] | f"(x) = 0} is a subspace of R[x].

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Q: asap please

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Q: 4. (a) Consider the ODE y' + tan(ax)y= sin(ax). Let a = 1, to start, and if you'd like to solve a…

A: We will use basic knowledge of ODEs to solve this question

Q: Let --0-8-8 V2 = -3 = 1 V1 = 2 For what value of h is y in the plane spanned by v₁ and v₂? h 5 y =…

A: For the plane spanned by v1 and v2, y is a linear combination of v1 and v2 if it is in the plane.

Q: a) Graph the function f(x)= b) Draw tangent lines to the graph at the points whose x-coordinates are…

A: Given f(x)=2/x

Q: ications of Inverse Functions You can model time, t. in seconds an object takes to reach the ground…

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Q: Evaluate the given expression. Take 2 0-5 B = [3 = [² _; -; ]· 1-5 5 4BT 000

A: TRANSPOSE OF A MATRIX: ANY MATRIX WHICH IS OBTAINED BY INTERCHAING ROWS AND COLUMNS OF A MATRIX, IS…