The equation of the tangent plane to the surface 32 = x² + y² +1 at (-1,1,2) is O A.-2x-2y+3z = 2 O B. 2x-2y+3z = 2 OC.x-y+3z = 2 OD. 2x-2y3z = 2 OE-x+2y+3z = 2

Q: Indique la dimensión del subespacio: a) Generado por -7 -1 -4 21 3 12 x = 0 -28 -4 -16 Ubicando su…

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Q: Are the following statements true or false? If true give a proof, and if false give a…

A: Given that the following statements  a) Consider a continuous function f : (0, 1) → R and a Cauchy…

Q: Solve the system below. 3x + 15y + 3z + 2x + 10y + Z + 4z + 7x + 35y + The particular solution is: y…

A: Given system of equation is 3x+15y+3z+21w=62x+10y+z+9w=−17x+35y+4z+34w=−1.........1 Write the above…

Q: Show that each of the functions defined in Column I is a solution of the corresponding differential…

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: Give an elementary proof that limn→∞:xn = 0 for 0 < x < 1. This means you are not allowed to use…

A: Here we use the limit definition of sequence to show its convergence as follows.

Q: Determine whether the statement below is true or false. If ACB and dEB, then dEA

A: Here we have to find whether the given statement is true or not.

Q: ④ pct) = UPID 휴 UPID 쮸 avpFp(1- ) VPPLI ) VPIPL S ㅇ VD IP (2-2) -제 P= 1/4 √ P(t) dt → 0 S₁ ←…

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Q: 1) f(t) = t & g(t) = √t-1; Find the domains and ranges of (f. g. f+g, and f.g) 2) If f(x) = x-5 and…

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Q: (-1)" n=2_n(lnn) 8

A: Given series is ∑n=2∞(-1)nn(lnn)  we want to check its convergence or divergence.

Q: The time T of oscillation of a simple T Vg pendulum of length | is given by T = 2π Find percentage…

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Q: erive and compute the contract curve and illustrate. State the First Theorem of elfare Economics.

A: NOTE: Hi! Thank you for your question, as per the guideline we can solve one question at a time in…

Q: Simplify the sums: 2. Σ2(x²+2x+1)-2Σ₁₂(+1)

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Q: Use LU decomposition (without pivoting) to solve the following: 5x₁₂ + 2x₂-x3=4 -x₁ + 3x₂ + 4x₂ = 1…

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Q: (√5 - 3)(√5 + 3)

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Q: The cost of an engine is RM77,000. The declining balance method is used for computing depreciation.…

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Q: Let R be the region in the first quadrant bounded by the graph of y = 1, the horizontal line y = 1,…

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Q: S3. Find all equilibrium or constant solutions to: (i.e. find all values of C for which y(t) = C is…

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Q: a)Find bases for the following subspaces of F^5 V = {(c1, c2, c3, c4, c5) | c1 − c3 − c4 = 0} W =…

A: Given that V , W are two subspaces of F^5. We know that A basis for a subspace S of Rn is a set of…

Q: 6. For A = {1, 2} and B = {0}, determine P(A) × P(B). X

A: Sol:- Given SET :- A = 1,2B=∅

Q: Show that the functions 1 dn w(x) dxn (w(x)(1 — x²)^), Pn(x) = n = 0, 1, 2, ... are orthogonal to…

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Q: Compute the volume of the solid obtained by rotating the region below the graph of f(x) = e-a/2…

A: Here we need to find out the volume of the solid obtained by rotating the region below the graph of…

Q: In the morning section of a calculus course, 2 of the 9 women and 2 of the 10 men receive the grade…

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Q: The number of X₁ + X2 + x3 + x4 + X5 + X6 = 12 is C(12+6-1, 12) = C(17, 12). True non-negative…

A: It is known that the number of non-negative integer solutions to the equation: x1+x2+x3+⋯+xn=k is…

Q: In the following augmented matrices x is a real parameter and they are obtained in the process of…

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Q: Consider the following. f(x, y) = ₁ P(9, 1), u = ¹+1 (a) Find the gradient of f. Of(x, y) = (b)…

A: The gradient of f(x, y) is calculated using the formula: ∇f=∂f∂xi+∂f∂yj.

Q: Evaluate the path integral fydx+zdy+xdz, where C is the ellipse in R³ obtained с by intersecting the…

A: We will find parametric from of the ellipse and then integrate it by converting every things  into…

Q: A life annuity on (x) provides for benefits made continuously for 2 years, provided that (x) is…

A: Given: The given annual rate of payment at time t is c(t), c(t)=t,  0≤t&lt;1,1,  1≤t≤2 And the given…

Q: Solve the equation sec x dy dx = esinx y given x = 0 when y = 0.

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Q: seq anze suppose {k} nce for hich there exists r ER so that ||x≤r Vk. Show there exists x € R" and a…

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Q: by using Toyler series find vx a = 4

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Q: Use concepts learned in this module to complete this problem set: determine limits algebraically,…

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Q: (2) On the following figure, sketch a solution curve for each of the following initial conditions:…

A: We will  plot the point in the graph and then draw solution curve passing through it

Q: n f(k) (c), Pn(x) = Σ -(x - c)k. k! k=0 Show that for any other polynomial Qn # Pn of order n it…

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Q: A population grows at the rate of (87) per year. How long does it take for the population to become…

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Q: 6 5 4 3 3 Sheldon Howard Rajesh Leonard Howard Leonard Rajesh Leonard Sheldon Leonard Rajesh Leonard…

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Q: Find the sum: 3 5. Check that ³0 (51) (3^4) = (²3) i=0 6. Check that Σ1-0 (1) (35;) = (¹4) i=0 7.…

A: We know that nr=n!(n-r)! r! and n!=n(n-1)(n-2)⋯⋯2·1.

Q: K An important concern in the study of heat transfer is to determine the steady-state temperature…

A: Solution :  To find the temperature T1, T2, T3 and T4 of  system of the equation  We have use the…

Q: α c={ {Σ k=1 ak 3k and : ακ € {0,2}} Let C be the set defined in Problem 1 above. Define the…

A: The given functions are ϕ:C→[0,1] defined as ϕ∑k=1∞ak3k=∑k=1∞ak22k and ψ:[0,1]→[0,1] defined as…

Q: Given is the following SLE: a 12 1 A 13 6 b c 24 2 a) Calculate the determinant of the coefficient…

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Q: The second column of the matrix of change basis from the basis B={u= (1,1,1); v = (1,0,1); w=…

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Q: Let A = N, the set of all positive integers. In each case, give an example of a function f : A…

A: We have given that, A=ℕ is the set of all positive integers. We know that, f is said to be bijective…

Q: (7) A+ A' is symmetric. (8) A-A' is skew-symmetric. (9) If A and B are symmetric, then so is AB.…

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Q: 2.24 The angles between the barred and unbarred coordinate lines are given by I1 I2 I3 x1 45° 60°…

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Q: Fill in the blank so that the resulting statement is true. The number of distinct proper subsets of…

A: The question is to find number of proper subsets of a set with n elements.   Proper subset: A proper…

Q: The number of non-negative integer solutions to the equation Y₁ + x3 + x4 + x5 + x6 = 7 is C(7+5-1,…

A: The given problem is to find the number of non negative integer solutions for the given equation by…

Q: Find all solutions of the given linear system, using the Gauss Method with back substitution.…

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Q: For each real-valued sequence, explain whether it is convergent, divergent to to, or otherwise…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Simplify the sums: 2. Σ₁2(x² + 2x + 1)-2Σ₁₂(+1) -j=

A: To simplify the given sums :- ∑j=2∞x2+2x+1-2∑j=2∞j+1

Q: NSTRUCTION: Find the standard form of the equation of the parabola which satisfies the given…

A: To Find: The standard form of parabolas: (1) y2+16x+2y+49=0. (2)  x2-4x-8y-28=0. (3) With  Focus at…