answers only pls submit asap 7. Vectors

Q: solve: y" - Hý + 4y = 4szt; y(0)=2₁ y(a)=5 using Laplace transform

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Q: Find the volume of the solid whose base is the circle x² + y² = 49 and the cross sections…

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Q: 2. Evaluate: (a) L{(e-2t - 1)² cos πt} COS

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Q: For the following questions, find a projection matrix P that projects b onto the colum of A, that…

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Q: 14. Evaluate surface integral z²ds where is the surface of the cone z = (x² + y2)1/2 between z = 1…

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Q: A) Find x{(e-51-7)²} L B)[ Use the definition to evaluate the Laplace Transform of the function 2,…

A: FIRSTLY WE USE AN IDENTITY, a-b2=a2+b2-2ab ⇒e-5t-72=e-5t2+72-14e-5t⇒e-5t-72=e-10t+49-14e-5t AND THE…

Q: ! Required information Problem 02.004 Consider the circuit in the given figure. Assume R₁ = 110 2…

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Q: 2 Iƒ ƒn(x) = efn−1(x) for all ne N and fo If d nd {ƒn(x)}. dx

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Q: QUESTION 8 Let g(x, y, z)=x. Let S the solid bounded by the surfaces x = 3²+3² and x = 6. SSSx.av. g…

A: The given problem is to convert the given triple integral in to cylindrical coordinates triple…

Q: Find an equation (x(t), y(t), z(t)) of the line that is the intersection of tangent planes at (1,…

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Q: 7. The nth partial sum of the series Σa is given by S 11 n 12-1 Find the 7th term using the sum.…

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Q: A = {x ∈ R | − 4 ≤ x < 1}, B = {x ∈ R|−1 < x ≤ 3}, C = {1, 2, 3, 4} Find each of the following. a.…

A: Here we have to find given intersection of A and B also of A and C and union of A and B , and also…

Q: Let L: R³ R4 be a linear transformation defined by Which of the following is a basis for the range…

A: Range of linear transformation

Q: 3 Example 63 Let f(x) = 6 is constant. Then, find sin x -1 рр2 cos x 0 p³ 3 d³ 3 dx 3 [f(x)] at x =…

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Q: Given the function graphed below, find the following: -4 -3 -2 -1 16 5 3 24 423 -2 -3 -4 12

A: DOMAIN -: THE SET OF VALUES OF x WHERE FUNCTION IS DEFINED. RANGE-: THE SET OF VALUES OF f(x)=y WE…

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

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Q: Given the points P = (1, 7,-5), Q = (5, -3, 3) and R = (-4, 2, 7). a) On the graph label the points…

A: Given That : Points P1 , 7 , -5 , Q=5 , -3 , 3 and R=-4, 2 , 7. To Find : a) On the graph label the…

Q: log16 2023 = log log

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Q: exponent 14. The equation A= 12,000(1.016)* describes the dollar amount of an investment after t…

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Q: 14. Evaluate surface integral [f=²ds where o is the surface of the cone z = (x² + y²)¹/² between z =…

A: Evaluate the surface integral

Q: Given the set of positive integers Z+, which of the following properties does not hold for Zt to be…

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Q: Problem 8.4. Prove that II (¹ + x²") = +"= n=0 I

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Q: 5. Let ƒ(x,y,z)=2xy²z² − 3xy a) Find the rate of change of ƒ (x, y,z) at P(1, 1, -2) in the…

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Q: Find the maximum value of (7 - x) (2 + x)5 when x lies between -2 and 7.

A: f(x)= (7-x)4(2+x)5

Q: Inverse Laplace transform, 1 (s²+1)(s-3) el Select one: O True cos(t) _ 3sin(t) e3t + 10 10 5

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Q: Question 3. If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = 2e5jt…

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Q: Find the eigenvalues of the matrix A ii) Find the dimensions of the eigenspaces of the matrix A.

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Q: 4. Find the surface area of the part of the sphere x² + y² + z² = 1 above the plane z = 1/√2.

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Q: Log Graphs Match the following functions with the general shape of their graphs. A E Functions f(x)…

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Q: 1. Let f(x) = sin(e-²2). (a) Use the two-point backward-difference and forward-difference formulas…

A: Given Data: Let us consider the given function, fx=sine-2x (a) Use the two point backward difference…

Q: Using the divergence theorem, compute the integral of the vector field (x3 + y3, y3 + z3, x3 + z3)…

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Q: Hi, this is the circulation solution. The question is asking for the flux? This should be the…

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Q: 1. Find the Fourier integral formula for each of the following functions: f(x) = { x +1₁ |x | π.

A: Given: f(x)=x+1, x&lt;π0      , x&gt;πTo find: The Fourier transform of the given function."As per…

Q: 3. An investment of $1000 is being used to fund payments of $125 at the end of each year for as long…

A: Formula for the future value of ordinary annuity is FV=R1+in-1i Where R is regular deposit, 'i' is…

Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: If y - y = 2x, then prove that 2 ence, show that x² - 1\d²y dx² 27 + X. dx² 1 dy dx = (3y² - 1)³

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Q: PROBLEM #2: Kelso conservation area is currently designing a new hiking trail to complement the…

A: Given : Polynomial function : hx=ax4 + 52x3 - 3x2 - 16x + b   To find : The values of a and b

Q: 4. Consider the Cubic Equation: x³ +3x² = 8x +30 a. Reduce the cubic equation through a change of…

A: The given cubic equation x3+3x2=8x+30 can be rearranged to the standard form as: x3+3x2-8x-30=0 A…

Q: If y = X 3

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Q: Suppose C is the curve given by r(t) = (3 cos(t), -3 sin(t), 4t). Show that both the curvature as…

A: We find curvature and torsion.

Q: Properties of Functions be funcion Show that f: R → R defined by f(x) = x³ + 1 is bijective. follow

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Q: If L : R6 → R³ is a linear transformation and dim(range L) = 2, then how many vectors are in the the…

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Q: 1. Let p be a prime and let g be a primitive root modulo p. Let a be an integer which is relatively…

A: This is an if and only if question and so has two parts. We use the definition of a primitive and…

Q: Find the gradient vector field of f(x, y, z) = ln (xy² +sin yz³ - 5x^z)

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Q: Find the partial fraction decomposition for: 8x²+9x-2 x³+4x²+8x+8

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Q: Prove that the functionf: R2 → R defined by f(x, y) = 1 - ² - 4y² is neither injective nor…

A: Injective and surjective function

Q: At 22 years of age, Nicolas and Troy have started their first full-time jobs, and Troy decides to…

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Q: he probability that a marriage will end in divorce within 10 years is 0.3. What are the mean and…

A: Given: The probability that a marriage will end in divorce is 0.3, total marriages are 4,000.To…

Q: Consider the following function: f(x)= x4+108x−13 Step 4 of 4 :   Enter the x-values of any local…

A: Concept to be used: Let fx be a function. Find f'x and substitute f'x=0 to find the critical points.…

Q: Σε ≡ the series Σ (-1) ¹2" n! n=1 or divergent? Justify your answer. absolutely convergent, C

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