- Where does the line r(t) = (1, 4, 2) + t(−1, −3, 5) intersect the plane 3x − 5y +9z = 2, if at all?

Q: Let f [a, b] → R be a bounded function. Then the followings are equivalent. (a) f [a, b] → R is…

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Q: Given the function f(x,y)=5y-5x, answer the following questions. a. Find the function's domain. b.…

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Q: Consider the differential equation: y ‚cЄR, which one of the following is the value of À ? O 5 -5 5…

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Q: Given the function f(x,y)=7y - 4x, answer the following questions. a. Find the function's domain. b.…

A: As per the guidelines I am answering only one question with first 3 subparts of it.Kindly reupload…

Q: D 4 1-sin²x = 0

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Q: Sketched below are the graphs of f(x)=½sinx and g(x)=αcosbx for x∈[-360°;0°]. The amplitude of f is…

A: When a vertical line x=a cuts the both curves then we get the values f(a) and g(a). To find a. Such…

Q: Use the sketch to determine   2.1. The value(s) of x for which f(x)- g(x)=-1 for x∈[-360°;0°]…

A: 2.1f(x)-g(x)=-1Vertical line cuts both the curves with length 1 and g(x)>f(x).From the…

Q: 3. Given the rational function: Determine the following: a) x-intercept b) y-intercept c) vertical…

A: Given thatthe rational function is

Q: Exercise 2 Which linear system is ill conditioned. 1.0001 1 1.0001 1 1.0001 1 1 0.9999 1 0.9999 -1…

A: We will check the 3rd part only as asked in the question.

Q: Let kR and f(x, y) x² + y² + kxy. If you imagine the graph changing as k increases, at what values…

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Q: · Evaluate [[ F · dš, where F(x, y, z) = xyî + 4x²ĵ + yzk, and S is the surface with…

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Q: Find a polynomial p of degree 2 so that p(4) = 45, p(1) = 3, p(-2)=-3, then use your polynomial to…

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Q: 3. In a recent bicycle race through a mountainous region in Spain the world champion, Annemiek van…

A: To find the mass of the carbon fiber tube and the mass of the removed paint, we need to evaluate…

Q: Let A = PDP-1 and P and D as shown below. Compute A4. 1 0 1 -2 PACHH D= 1 - 1 3 P= A² = (Simplify…

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Q: (1) A Math teacher Sees a correlation, I no between test scores and homework The homework grade(x ?…

A: Homework, XTest score, Y7055899279818474847770656468

Q: Assume that the recursively defined sequence converges and find its limit. 3 a₁ = 3, an+12+an The…

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Q: Consider the following system of equations -x + cy + 2z = 2 x - 2y + cz = 2 -2x + 4y + z = 1 For…

A: Below is the answer

Q: QUESTION 3 Use linear algebra methods (eigenvalues and eigenvectors) to solve the folloiwng system…

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Q: Consider the following linear programming problem. Maximize P= 6x + 9y subject to the constraints x…

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Q: a)Calculate the following equation considering the vectors, a=(4,-2,-4), b=(1,6,7) and c=…

A: Here we need to use the formula for cross product of two vectors as well as the projection formula .

Q: 11. a O b O d - (x − 1)y" + y' = 0 y′ - a. y = a b. y = a + a1 Σ=1#x" 1 + ao Σ=1# χη η c. y = a + a1…

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Q: ← Express the area of the region bounded by the given lines as an iterated double integral. The…

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Q: 2) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Exercises for Section 3.3, # 34)…

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Q: 3. Using Parseval's Theorem evaluate the integral 5. where a € R. w2 (w² + ²)2 dw

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Q: A pendulum on a rigid rod oscillates according to the equation 8²0 Ət² where is the angle of the…

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Q: Suppose that a pentagon is composed of a rectangle topped by an isosceles triangle. If the length of…

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Q: 1. A 38 oz. jar of peanut butter sells for $9.9. Jobe uses 3 oz. of peanut butter for each peanut…

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Q: 47. Review the following inventory graphs, and answer the question that follows. 8000 t Area 7000…

A: The given graphs are:To Determine: Which graphs represent inventory levels based on an increase in…

Q: [[ (a²z+ y²2) dS, where S is the top half of the sphere S x² + y² + ² = 4. 16 Problem 2. Evaluate ][…

A: Our objective is given below:

Q: solve for x step by step 2 X = 88 √x-11 +2√x-10 +√x+7 9x +

A: Given: Objective: To find the value of

Q: (1) Show that the lexicographical order on {0, 1} x N with the standard orders on {0, 1} and on N is…

A: Lexicographical order on with the standard orders on .Also, is the ordinal of  with the standard…

Q: d) Sketch a stability diagram: plot the region in the a, b plane in which there is a stable limit…

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Q: The plane x + y + 2z = 10 intersects the paraboloid z = x² + y² in an ellipse. Find the points on…

A: The given plane is , it intersects the paraboloid  in an ellipse.To Find: Points on this ellipse…

Q: min w₁x₁ + 1₂x₂ wp24 P x² + x² = y²

A: To solve the optimization problem:Minimize: Subject to the constraint: We will be using Python and…

Q: 4s 4 2-¹ (1-16) - O (5/2) e^(-4t)+(3/2) e^2t O None of them O (5/2) e^(-4t)+(3/2) e^4t (5/2)…

A: The given inverse Laplace transform .We have to find the inverse Laplace transform.

Q: For what values of h are the vectors 1 1 1 2 2 h+1 linearly dependent? 1 3 4 h+2 " and h = −1 and h…

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Q: The matrix The eigenvalue X₁ is -2 A = The eigenvalue X2 is 0 ГО 0 0 has two real eigenvalues, one…

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Q: 3 23/dost 100m 126 p² The diagram is a sector of a Circular Grdbord [Pal =10am and <PQR = 126⁰° If…

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Q: Let X = R³ be a vector space over afield F and A = {(2, 4, 3), (0, 1, 1), (0, 1, -1)} Is it possible…

A: Let , the given set is A= .To Determine: whether it is possible or not to construct a linearly…

Q: [[ (a²z+ y²2) dS, where S is the top half of the sphere S x² + y² + z² = 4. 16 Problem 2. Evaluate…

A: Let us use the parametric form of equation of a sphere

Q: 1 □ using the two-way find the probability Prefers Frult given Prefer apples write your answer as a…

A: We have to find the probability that someone prefers a fruit given that they prefer apples.Let F and…

Q: . Evaluate dS, where S is the paraboloid y = 9-x² - 2² together with its cap when y = 0. (7/6)…

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Q: Calculate the Fourier series expansion of the periodic function depicted in Figure 2.

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Q: ff (z + z²y) ds, where S is the part of the cylinder y² + ² = 1 that lies between the planes x = 0…

A: Let S be a smooth surface is of the form z=g(x,y) , then

Q: step 1 and 2

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Q: L a d 1 wcose+ssine s²+w² a. sin (wt + 0) b. sin (t + 0) c. cos (wt + 0) d. cos (t + 0) 2}, w & 0…

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Q: Activity 1: You are testing an electrical device which can be modelled by the following equations: ₁…

A: (a)The given system is:Combine like terms together.The standard system is:

Q: Describe the following linear maps T : R² → R² geometrically. In all cases we X write T ()). U (a) T…

A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

Q: X Write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut from…

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Q: ∞ Determine whether the series > n=0 5 √29 O B. Select the correct choice below and, if necessary,…

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