Find an equation of the line tangent to the intersection of the cylinders x² +2²= 4, y²2 +2²=4 and the plane y = x at the point (1,1,√3)

Q: Suppose f(): R" → R (n EN). (a) What is directional derivative of f(-) at x ER" in direction v ER"?…

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Q: Sketch the region bounded by the surfaces z = √√x² + y² and x² + y² = 1 for 1 sz≤ 6. (If an answer…

A: Answer :-  z= sqrt(x2+y2)  and x2+y2    1<=z<=6 A) Ans:- Inner trace at  z=6 X^2+y^2=1 B)…

Q: Elimination of Arbitrary Constants 1. Cy²=x²+y 2. x=Asin(@t+B) Where, o being a parameter not to be…

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Q: Let be the plane in xyz-space that contains the points A:(2, 3, 4), B: (3, 0, -1), and C:(-1, 2, 5)…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

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Q: While driving in the U.S.A., a Canadian fuels their car at a cost of US$2.77 per gallon (US). Given…

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Q: 8. Suppose p is false, s is false, r is true. Find the truth value of ~[(s^p) V ~r]

A: See next step for answer

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: Are the following propositions logically equivalent? pq and (p→g) ^ (q→p) Show your proof using A)…

A: Sol:- To solve this Problem , First plot the Truth Table for both:- Find the truth table for p…

Q: Determine whether the function G(x,y) Is { xy²/3+xy √√x+2y³ 1 3√3' if (x,y) = (0,0) if (x,y) = (0,0)…

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Q: Are the following propositions logically equivalent? pq and (p+q)^(q→p) Show your proof using truth…

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Q: 2. L2 and L1 in 3 dimensions The "unit ball" in L2 in 3 dimensions is easy to visualize-it's just a…

A: Please find the answer in next step

Q: 9. Solve for the values of x₁, x₂ and x3using: 2x₁6x₂x3 = -38 -3x₁ - x₂ + 7x3 = -34 -8x₁ + x₂ + 2x3…

A: Given Data: 2x1-6x2-x3=-38-3x1-x2+7x3=-34-8x1+x2+2x3=-20a. Gauss -seidel Iteration

Q: Determine whether the following statement is true or false. If the statement is false, make the…

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Q: Use the Venn diagram shown to the right to answer the following questions. a. Which regions are…

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Q: The augmented matrix for a linear system is 1 9 4 0 10 0 0 00 0 1 7 00 00 0 0 0 10 a. Is the…

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Q: Consider the group G = ℚ* × ℤ with operation * on G that can be expressed as: (w, x) * (y, z) =…

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Q: following statements: (a.) "There exists a natural number that is larger than some odd natural…

A: Logical formula

Q: Consider the sequence recursively defined by the relation = 1/2 (a₁ + 12/12) an an an+1 = 00=-1 and…

A: Given,  The sequence recursively defined by the relation, an+1= 12(an+9an)   ,   a0=-1 we have to…

Q: - 58. A function value Show that the function F(x) = (x − a)². (x − b)² + x takes on the value (a +…

A: Solution:

Q: 2. Suppose that f is a measurable function satisfying 1 m({1 € R: \ƒ(1)| ≥ n}) ≤ /> > Is f…

A: Given: The given detail is, Here, suppose the f is a measurable function, then it satisfies the…

Q: Sketch the surface 1≤z≤√√9-x²-y²_and_x² + y² ≤

A: Solution is below

Q: (D³ - D²-6D) y = 12x − 2 + 5e³x – 18 sin (3x)

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Q: ? ? ? -11) 1. T(x) = (311+12, 2. T(x) = (2x1, x₂) ✓ 3. T(x) = (₁ + 10, ₂)T I1)T

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Q: In football, a kicker can score one point for the extra-point on a touchdown or three points for a…

A: To graph of linear  inequality.  1. Take the line in equal to form.  2. Shade the line above if…

Q: b = TT and let A = 3 2 1 0 1 4 0 1 00:00

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Q: .45 x 10^8 L/hr x 0.0221 sec = ? dL b. 2.1 x 10^-2 mL/s x 12.00 hr = ?L please show explanation.

A: a. Given 4.45×108 L/hr ×0.0221 sec 4.45×108 L/hr ×0.0221 sec=4.45×108 Lhr ×0.0221 sec=4.45×108 L3600…

Q: 1. (a) Describe the region geometrically Im (2²) = 4 sb 22-3W b) Id 2=3-i, w= 3+4i, then find 2²+3w…

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Q: Definition: A subset E of a metric space (X, d) is called dicconnected if there exist subsets A and…

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Q: 4. Use a truth table to determine whether (pvq) is equivalent to ~p^~q.

A: See next step for truth table

Q: For a differential equation of the form: =f(x, y), the dependent variable is y and the independent…

A: As in differential equation we have two variables let x, y the one is dependent y and other is…

Q: 4) dx + (x +ln(x + 2y- +In(2x + y

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Q: 7. Use De Morgan's laws to find the negation of each of the following statements. a) Jan is rich and…

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Q: Learning Task 3. Solve for the variable of the following quadratic equations A. by extracting square…

A: Sol:- A. 1.x2=169For x2=fa the solutions are x=fa,  -fax=169, x=-169x=13, x=-132.9b2=25b2=259b=259,…

Q: A hand-held calculator will suffice for the Problem. The problem an initial value problem and its…

A: given  x'=5x-9y,   x0=0y'=2x-y ,    y0=-1 exact solution  xt=3e2tsin3t , yt=e2tsin3t-cos3t (a) by…

Q: 2. Write the following sets in roster notation • {zx|<3^³y(y =Z^y = x + 2)} • "The set of…

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Q: Let X CRd. Let u, v € Rd be two points such that u conv(X) and v conv(X). Prove that if u € conv(XU…

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Q: 6.  The error formula for Simpson's rule depends on which of the following? (Select all that apply.)…

A: Simpson rule is three point integration formula of a function .

Q: Problem Solving: Solve the following and show your solutions. 1. Thrice a number added to 10 results…

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Q: Solve the following system of equations by using the inverse of the coefficient matrix if it exists,…

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Q: Can we use x = vy? (x - y In (y/x)) (vy - y In(y/vy)) --> (vy - y In(1/v))

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Q: (1) Solve the following problem = 17/14 Ut, Urr = 0≤x≤ a, t> 0, u(x,0) = f(x), uz (0, t) = A A and B…

A: Given :  uxx=1kut   ,   0≤x≤a    ,  t&gt;0ux , 0=fx     ,    ux0 , t=A   ,   uxa , t=B To Find :…

Q: (p^~q) v r

A: Sol:- To write the Truth Table of given Tautology , we will consider three variables p , q and r

Q: Assignment: A. Find the general equation of a circle whose center and radius are: □ (0,3) 2 2 (20) 3…

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Q: Convert 1010110111002 to hexadecimal.

A: We first convert the given binary number into the corresponding decimal number and then the obtained…

Q: atebnu) drog temban 90X19 Perform the mathematical operation and express the answ standard form. 1.…

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Q: Use Euclid's Algorithm to find (a, b) and xo, yo such that (a, b) = axo+byo if (a) a = 3182, b =…

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Q: Determine the inverses of the following matrices over Z26: (a) ( (b) 25 95 ( 1 11 12 4 23 2 17 15 9

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Q: Problem: Let R. be the 2 x 2 matrix that reflects vectors across a line with direction u = Use the…

A: Given: R is the 2×2 matrix that reflects vectors across a line with direction u=2-1.   To compute:…

Q: Prove that P(N) is uncountable. Recall P(N) = (A: ACN). HINT: Suppose there is a bijection f: N→…

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