Given x+ y +z=5 and Po(2,1,2), find the following. (a) Find the equation for the tangent plane at the point Po on the given surface. (b) Find the equations for the normal line at the point Po on the given surface. ... (a) Find the equation for the tangent plane at the point Po on the given surface. Use a coefficient of 1 for x. = 0 (b) Find the equations for the normal line at the point Po on the given surface. Let x = 2 + t. X= y = (Type expressions using t as the variable.

Q: (с) V21+3n An = (d) (2n – 1)! An (2n+1)! (е) V2, V2/2, 21

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Q: Consider the center of mass of the following. A lamina occupies the part of the disk x2 + y2s 9 in t...

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Q: V8(4n)!(1103 +26390n) 9801 396 (n!)4 (b) The partial sums for this series are S, Use a calculator to...

A: 2B Sk = ∑n=0k84n!1103+26390n9801·3964n(n!)4

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A: Solution:-

Q: 2. Let V = R" and let {e1,..., en} be the standard basis for V. a) Give an example of a subspace of ...

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Q: Determine the limit: lim (-2)^4-n n+ 00 А. 2 C. doesn't exist D. B.

A: We will find the given limit: limn→∞-2n4-n We shall use the formula of limits to evaluate it.

Q: 4-Jen draws two points, one at (-5v3,5) and the other at (-1ü, -1uv3). She then draws line segments ...

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Q: What type of roots are shown in the following diagrams? i) to this ii) IIIJ

A: This is a problem of nature of roots, application of differential Calculus.

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Q: The Hausdorff dimension of {z ER : |æ| = 4} is d. Answer: = P

A: Hausdorff dimension of the given set is d=5.

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Q: The sequence is equal to the sequence n+1 n = 3 (1 2 3 4 2'3'4'5 True False

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A: We Know, v(t) = dxdt ,a(t) = dvdt   Given that, v(t) = t1.4-1cos3t     and x = -3 when t= 3To find x...

Q: 6. Consider the recurrence relation an = an-1 - 2an-2 with first two terms ao = 0 and a1 = 1. a. Wri...

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Q: Q\ Find f' () for csc(x) cot(x) sec(x) tan(x) f(x) = 4V3+ 8 (5V3+11 3/3 3/3 O 1LA (V3+ 1 3/3+9 3/3 3...

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Q: 3. Prove that [Let z1 = a + bi and z2 = c + di] II

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Q: (-1)"4"+1,n+1 3n+1(n +1) In this problem, we investigate the power series n=0 (a) Show that 5-1)"4"+...

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Q: Question 5. Given the tridiagonal matrix 1.5 1.485 0.99 2.3301 0.891 0. 0.73 2.4518 0.3546 0.49 1.99...

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Q: (D) Drawing Slope Fields - Examples dy. Draw the slope field for dx

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Q: Cholesky's Method • Check if symmetric • A = AT 1 1 1 1 2 2 1 2 3 11 1 Given: AT = 1 2 2 1 2 3 A = X...

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Q: Given the following points: P(5,7,8), Q(-1,4,2) and R(2,5,-1) forms a triangle. Find the unit vector...

A: This is a problem of vector algebra.

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Q: Find S. Re z?dz clockwise around the boundary of the square with vertices 0,j,1+ j,1

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Q: The diagram is a sketch graph of f(x) = 2 sin x and 0° s xs 360° and g(x) = sin 2x and %3D %3D 0° <x...

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

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Q: 3. The forces in three members of a framework are F,, F2 and F2. They are related by the simultaneou...

A: For better understanding, we use x, y and z at place of F1, F2 and F3, respectively. (a).

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Q: Choose the Laplace transform of the given function. 3 8 (t – 7) + 8 (t - ) sin (t) 3 e -IT S + e 2 T...

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Q: 3. Find 2 – 6 + 18 – ...+ 13122

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Q: Use the divergence theorem in R to evaluate the surface integral I of the two-form w = (zry + e5v) d...

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Q: -1 1 5 1 Find 2 5 0 2 7 1

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Q: Find a formula in terms of k for the entries of AK, where A is the diagonalizable matrix below, and ...

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Q: Find the generating function of the sequence {a;}k20 defined by ak = -3 if k even; a = 3 if k odd. %...

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Q: fi(x1, x2) 2x} – x3 – 1 = 0 X1x – x2 – 4 = 0 f2(x1, x2)

A: Given linear system is f1(x1,x2)=2x13-x22-1=0f2(x1,x2)=x1x23-x2-4=0 Newton method's formula is x1n+1...

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Q: Let G be a group having two finite subgroups H and K such that gcd(|H.K) 1. Show that HOK={e}. Justi...

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Q: 2. Prove that 11" – 7" is divisible by 4 for any positive integer п.

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Q: 130. Express the product Ax as a linear combination of the col- umn vectors of A. 134. 14 (b) 3 0 -1...

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Q: The equilibrium point of æ' = Ax + b is xo =-A¯'b for any matrix A. O True O False

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Q: Evaluate * sin-lr xp= V1- x

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Q: What valus e a, b,c,d that that mwhe this -1 3. 3. - 5 5 4 consitents A xx B . ---~

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Q: Question 1 (a) Is the operator P(y) = y/ + 2ty linear? (Show workings) (b) Find the null space of th...

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...