(D) 2(y-4)=-3(x-1) (E) y = 4(x+5)-3 (F) y-2=(x-3)

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A: To evaluate the given double integral

Q: Consider the matrices A = 1 b b U = |g|, V = 0 X d, B = 0 C and X = y. If AX = U has

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Q: Let P E SO3(C). Check whether or not 1 is an eigenvalue of P.

A: We check 1 is eigen value of P or not .. For this we proved firstly two lemma  Then we get 1 is…

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Q: Determine which of the following pairs of functions are linearly independent. dependent 1. f(x) = x³…

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Q: 2. Let f (a, b)→ R be a function and suppose there exists constants M > 0 and a > 1 such that |f(x)…

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Q: Fermat's little theorems A.Find the remainder when 3^58 is divided by 19 B.Find the remainder when…

A: We will find the remainder using Fermat's little theorem of the following : 1.   Remainder when  358…

Q: 1. Show that the initial value problem dy +y³, y(0) = 1, dt has a unique solution y(t) on 0 ≤t≤, and…

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Q: Suppose that f(x, y) : = Y 1 + x at which {(x, y) | 0 ≤ x ≤ 1, - x≤ y ≤ √x}. a Then the double…

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Q: The dice are rolled twice. Event A means that the sum of the mesh numbers is 7 and event B   means…

A: When two dice are rolled, the sample space consists of the events      S = {(1, 1), (1, 2), (1, 3),…

Q: Let Dg = { x, y | x2=1, y3=1, xyx = y} consider the map p: D3 → GL₂ (A) defined by p (y) = P(-(i) p…

A: Given that D3=x,y| x2=1, y3=1, xyx=y2. Now consider the map ρ:D3→GL2ℂ defined by:…

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Q: The physical plant at the main campus of a large state university recieves daily requests to replace…

A: Given mean μ=38 Standard deviationσ=8 ∴μ+σ=38+8=46   μ-σ=30-8=30 68% of the data of the normal…

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A: The relationship between test scores and the student-teacher ratio can be written in a straight line…

Q: Let where (a) F(x, y) = P(x, y)i + Q(x, y)j. P(x, y) = y 0 -y Determine whether if x > 0 if x = 0 if…

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Q: Find the value of R in the following expression: a.cos⁡(θ)+b.sin⁡(θ)=Rcos⁡(θ+α) for a=8.9 b=-3.2…

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Q: You are dealt one card from a standard 52-card deck. Find the probability of being dealt the ace of…

A: Formula for Probability of an event is  P(A)=Number of favourable outcomeTotal number of favourable…

Q: Let S = { x = R | − 2 < x < 0 } and L,R,M € R. Con- sider a function f R S that is strictly…

A: It is given that a function f:ℝ→S is strictly increasing on the interval 0,3, where…

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Q: For what numbers x, -2≤x≤ 2, does secx = 1? For what numbers x does secx = -1? ... For what numbers…

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Q: EULER’S EXTENSION TO FERMAT’S THEOREM A.Find the remainder when 5^85 is divided by 28 B.Find the…

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Q: 6. Mrs.Rivenell says that the average rate of change between x = -6 and x = -3 for the function…

A: Mrs. Rivenell says that the average rate of change between x = - 6 and x = - 3 for the function f(x)…

Q: : Gabriel's Horn is defined to be the region obtained by rotating the region below the graph of f(x)…

A: Using disc method for calculating the volume. Using ratio test to test the divergence of the…

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Q: Find the dimension of the subspace spanned by the given vectors. 1 0 4 - 2 1 -7 - 11 4 - 40 8 - 3 29…

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Q: Find the volume of the region under the surface z = corners (0, 0, 0), (3, 0, 0) and (3, 3, 0).…

A: To find the volume of the region under the surfaces

Q: Let k1, k2, ..., ks be positive integers and consider sx s block diagonal matrix J(A) given by Jk₁…

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Q: Evaluate the given below (hint: It's easier to be solved through Fubini's Theorem) ㅠ 6 1 Lo² Siim-12…

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Q: Let P(x) denote the probability of the occurrence of event x. Plot all those points (x, y) = (P(A),…

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Q: Obtain the splitting field of

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Q: (1 point) Calculate dif where r is variable, and R and V are constant. dP dr P V²R (R+r)²¹

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Q: u select a family with three children. If M represents a male child and F a female child, the set of…

A: Given Sample Space = {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}

Q: Let 2 2 0 2 1 -1 5 Solve the linear system Aỡ = b using Cramer's rule. A - and b 1 8

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1. Determine the values of "a" and "b" in such a way that the…

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Q: B E (i), (iii) (i), (ii) None All (ii) () Suppose G is a finite group. Which of the following are…

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Q: The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA,…

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Q: Let c = {A € Rn×n : AT = A} and_ Q = {B € R¹×n : BT = −B} and note that both C and Q are subspaces…

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Q: -2 -4 2 -2 1 4 2 (a) Find the eigenvalues of A. Let A = 225 (b) For each eigenvalue of A, find a…

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Q: 3. Solve the differential equation (x³ + 3xy²)dy = (y² + 3x²y)dx

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Q: The functions f and g are graphed in the same rectangular coordinate system, shown to the right. If…

A: I have given the answer in the next step. Hope you understand that

Q: 6. Let E≤X where X is a metric space. Show the limit points of E are the same as the limit points of…

A: Answer:-

Q: 5. Consider the basis B = {(3,2), (1,-4)} for R². Use the Gram-Schmidt process to rewrite this basis…

A: Using Gram Schmidt process we can find the orthonormal basis.

Q: The question asks for two answers?

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty…

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