salvepE tany= Sin(2 +y) +Sin(x-y) (ans. secy= C-2 Casx)

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Q: 20. In a coordinate plane, plot points L(1, 1), M(5, 3), N(3, 2), and P(2, 5). Draw LM and NP. How…

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Q: Suppose that A is a 20 x 15 matrix that has 9 pivot columns. Then: (1) dim(ColA) is (ii) dim(ColA)+…

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Q: S(t) S(t) = t2 + 3tª. f(t) = t2 + 3t + t3/2. f(t) = t e-3t + e!.

A: The solution is given as

Q: Let (V, (, )) be an inner product space and let f, g be vectors in V. If || F|| = 4, || g|| = 5 and…

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Q: In(z2) dz Is the improper integral convergent or divergent? Solve for its value.

A: So, we will solve this integral using by-parts formula Integral I = ∫-10ln(z2) dz We can write this…

Q: f(t) = et+1 cos t. f(t) = eat43/2_ f(t) = eat cos 3t.

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Q: (5) Find the curve y = f(x) in the xy-plane that passes through the point (9, 4) and whose slope at…

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Q: Question 29 Let (V, (,)) be an inner product space and let f, g be vectors in V. If ||F|| 4. ||g|| =…

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Q: QI) Evaluate the integral f dy dx using polar coordinate

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Q: (-1)" Consider the series expansion of the cosine function cos(x) = )) -x2n for all x € R. (2n)! n=0…

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Q: 4. Find the volume of solid of revolution (in cubic units) when the area of the region bounded by y…

A: We have to find the volume.

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Q: Given the matrix G -K and de = Then do and d, are G - conjugate if d, is given by Non of these

A: We know that,  Two vectors u, v in Rn are A-Conjugate for a matrix A of size n×n if  uTAv = 0  (Here…

Q: A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS d³x 3. dt3 d?x -2 dx - 35 = 0 dt 4. (D³ – 4D² + 4D)y…

A: To find the solution of homogenous linear equation with constant coefficient we assume the trial…

Q: 1 + 4 = 5 2 + 5 = 12 3 + 6 = 21 8 + 11 = ?

A: Solution :  Given that  1 + 4 = 5  2 + 5 = 10  3 + 6 = 21  8 + 11 = ?

Q: Evaluate the Inverse Laplace Transform 2 s+s+ 3 F(s)=

A: Given below step by step solution

Q: 1. The velocity of a rocket is given by v(t)= 2000 ln 14x10 14x10 – 2100t -9.8t,0sts30 where v is…

A: Given vt=2000ln14×10414×104-2100t-9.8t , 0≤t≤30 and t=16, ∆t=2 and True value = 29.674

Q: . x(п) %3D (2)" и() + 3(-) и(п) — 4"u(-п - 1) |

A: Given step by step explanation

Q: Question 12 -9 The eigenvalues of 1 are and

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Q: Converges or Diverges?

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Q: In(n)

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Q: [1] [2 1 Из 1 and W =Span{u1, U2, U3}. For 1 Let U1 = U2 1 2 1 1 in W ? t what value oft is the…

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Q: 1. Зх, — х, %3D 2 X2 = + 4x

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Q: Question 26 1 2 4 6 is in NulA. 3 Let A =-1 1 -1 If | 0 1 1 then the value of a is and the value of…

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Q: Prove that the following limit does not exist: lim (z,9)(0,0) I-y

A: To Prove: lim(x,y)→(0,0)x+yx-y does not exists   Here, we will check the value of the limit along…

Q: Question 18 Let B = {1+x, 1 – x2, x + 2x} and p(a) = 7+ 10x + 11a?. You are given that B is a basis…

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Q: Saran is a well known golfer in Klang. He would like to enhance his swinging skill to improve his…

A: (a) Given that the table Time (s) 2 4 6 8 10 12 14 Trail 1 (m/s) 17.5 18.5 19.9 21.6 20.3 19.0…

Q: The task is to find the local linear approximation of V2 3 g(x,y) = +cot (x +5). TT at (1, –1) to…

A: Local linear approximation of f(x, y) at the point (a, b) is given by Lx,y=fa,b+fxa,bx-a+fya,by-b

Q: Given : an + 4 ( 1.) Show that the reries converges conditionally when x - 1 ( 2.) Find the interval…

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Q: Question 28 Consider the inner product space (P2, (,)) with the inner product (p(t), q(t)) =…

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Q: You are given that B = {1 – x², 1+ x, 2x + 3x²} is a basis for P2 and - 2 [p(x)]B= |3. If p(x) = a +…

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Q: dx 3. Evaluate the integral 1 = Jo?+6x+10 Include 4 decimal places on your computation. a. single…

A: According to bartleby rule we can solve only first question or 3 subparts of first question

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: +o0 Consider the power series 22n (2x- 1)". Vn2 +1 n=1 3. Determine the radius and interval of…

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Q: (x+1)+-y² Suppose g(x, y) = {(x+1)++y² ' (-1, if (x, y) + (0,1) if (x, y) = (0,1) Find g,(0,1) and…

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Q: Question 8 The binomial theorem states that for any real numbers a and b, (a + b)" = k%3D0 for any…

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

Q: Let A be a symmetric matrix. Suppose that u and V are two eigenvectors of A corresponding to…

A: Given matrix A is symmetric. Its eigenvectors are u and v are distinct. Since we know that, the…

Q: Question 16 -37 25 For A = 1. 0| and 6 = a least-squar es solution of Ax 1 4 [10 What is the…

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Q: Question 24 If A = (aij) is the matrix of the quadratic form x + 2x% + 2x + 6x1x2 – 22x1x3 – 8x23,…

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Q: 4) Solve D.E

A: Solve the homogeneous differential equation

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Q: Question 4 Consider the function 3zy 3 + y? (a) State the domain of f(z, y). f(I, y) (b) Find the…

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Q: Consider the inner product space (P2, (, )) with the inner product (p(t), q(t)) =…

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Q: Construct a 2 X 2 symmetric matrix A with A [2] = -9 and A a12 If A = a21 a22 then the value of a11…

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