Find the equation of tangent to the circle x + y = 25 at the point (3, –4) 25 O a. y = 7x 4 13 25 O b. y = 25 O c. y = ¿x+ O d. y = x 15

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Q: 1. Let the universal set U be the set of integers from -12 to 12. Let A be the set of multiples of 2...

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Q: cos(x + y), when x = 0,y = 7. dx dy 2 = 4

A: As per the policy of bartleby, the provisions is to solve only one question at a time.   So I am sol...

Q: 5. Use Venn diagrams to verify DeMorgan's laws. 6. Represent the following sets with a Venn diagram ...

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Q: Let a : D → R° be the parametric surface defined by D = {(u, v) E R² | u E [0, 1], v E [0, 1]} and a...

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Q: A tank contains 100 kg of salt and 2000 L of water. Pure water enters a tank at the rate 6 L/min. Th...

A: Given : Amount of salt initially=100 kg Amount of water initially=2000 L Pure water enters at the ra...

Q: Does the following series converge or diverge? n° Σ n=1 O The series diverges. The series converges.

A: ∑n=1∞an=∑n=1∞nn8n2 Theorem: let ∑n=1∞an,be the series L=limn→∞an1n then, If L<1 the series is abs...

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Q: Find the matrix M of the linear transformation T : R? - R? given by (:)-| -8x1 + (-6) x2 T. -7x1 - X...

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Q: . Let a and b be integers. If 7 | (17a + 256), prove that 7 | (10a + 11b).

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Q: 7. Let M = Q with the Euclidean metric. Determine whether the set C = {x € M: V2 < < v3} is open, cl...

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Q: 11. In a survey of shoppers, 70 had purchased clothes, 80 had purchased food, and 60 had purchased e...

A: Let  A :denote the shopkeepers who had purchased clothes. B: denote the shopkeepers who had purchase...

Q: ) Given Xn+1 = X + 2X; + 3X,, shown below (also shown is X+1 = Xn), and Xs = 0.1, %3D %3D what is AX...

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Q: Show that I1fll= 1 forthe functional of 7be aLineur funct i'onal on X de fined by fcx)=

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Q: () 2p n! (a) (") = 2 (mod p), where k for 0 <k <n. k!(n – k)! (b) (Зр - 1)! 2р2 (mod p3)

A: As per our guidelines we are supposed to answer only fast question. Kindly repost other part in the ...

Q: Use Newton's method to approximate a root of the equation x° + x + 3 = 0 as follows. 1 be the initia...

A: Here  x3 + x + 3 = 0Let  f(x) = x3 + x + 3 ∴ f′(x) = 3x2 + 1x0 = -1

Q: Let R[r] be the set of all expressions 00 a = do+ajx+azx += i=0 where a¡ E R for all nonnegative int...

A: We will be solving part (b) as mentioned. (b). Given ℝx be set of all expressions a=a0+a1x+a2x2+…=∑i...

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of...

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Q: Suppose G is a group with order pq, where p and q are distinct prime numbers. If G has only one (4) ...

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Q: Siven X (z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2 +13z-3 O 1 O 0.5 -1 O 1.5

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Q: 3 If the characteristic roots of 2 7 are A1 and A, the characteristic root of 7 are - 2 3

A: Given matrix is 3725 with λ1 and λ2 its eigen values.

Q: #3. Let n be an mteger with nz1 and Let b., b2.bn be ... positive real nmmbers, not all egual, such ...

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Q: ,A large cube of ice melts such that it maintains its shape. The surface area is decreasing at the r...

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Q: Using Laplace Transform, solve the following initial value problem Зу' - 4y — sin 2t У) --

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Q: For a given vector a E R" and scalar A > 0, show that the following problem 1 minx, ||x – all +A ||x...

A: Given: A vector a∈ℝn and a scalar λ&gt;0   To show: The problem minx12x-a22+λx2 has the optimal solu...

Q: Entered Answer Preview Result 10.6301 V113 correct 2.4228 2.4228 incorrect -120 105 -120 105 incorre...

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Q: At the stationary point (x0, Yo) the function f(x, y) has the Hessian matrix 4 3 H= 3 -4 Then: Selec...

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Q: 3 Q2. Find an approximation to V11 using 4 steps Newton's method.

A: We find an approximation to 111/3 by using 4 steps Newton's method.

Q: Consider the region D C R² defined by the inequalities æ² + y² > 1, x² + y² 0, and y <a. Let w be t...

A: Consider the region D⊂ℝ2 defined by the inequalities x2+y2≥1, x2+y2≤4, y≥0, y≤x Let w be the two for...

Q: Show that o is injective but has no left-inverse, i.e there does not exist a homomorphism ý : S3 → Z...

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Q: At one of its factories, a manufacturer of college logo sweatshirts make

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Q: 5. Conclude from this that if b x c = 0 then b is a scalar multiple of c or vice versa (b and e are ...

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Q: Let w = y dy A dz – x dz A dx + z dx A dy be a two-form on R°. Evaluate its surface integral I along...

A: w=ydydz-xdzdx+19zdxdy    =yi^-xj^+z9k^i^dydz+j^dzdx+k^dxdy    =∫∫yi^-xj^+z9k^ds→

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Q: Q2:Find the inverse Laplace transform o using convolution F(s) = 1 2 s -3s

A: Convolution Theorem: If L-1P(s)=p(t) and L-1G(s)=g(t)Then,L-1P(s)·G(s)=∫0tp(u)·g(t-u)duWe have been ...

Q: please send handwritten solution for part a

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Q: Equation can be written for this system as d(Ay) d(t) = 3Q sin (1) – Q ´change in` (inflow) – (outfl...

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Q: Determine if this infinite series is convergent or divergent. Explain your answer.

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Q: Prove the following by using: a contradiction argument; the definition of a logarithm; the definitio...

A: Given: log827 To prove: log827 is irrational.

Q: 4. Зx2 + — 8(у + 1) %3D 0 x3 dy y+1

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Q: (x – x² – y²)dx + (y + x² + y²)dy = 0

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Q: You are an accountant for a manufacturer of radios. The demand function for the tablets is p = 40 − ...

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (w? - z? – 4z – 1))dw + 2w(z + w + 2) dz = 0

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Q: Find the Vertical and Horizontal Asymptote for the function 3x - 1 f(x) = x + 1

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Q: (w 3x +3)dw + ( 3w + x + 9)dx3D0

A: We will first use change of variable technique to convert given differential equation into homogeneo...