Laplace transform of 8(ta) is ea as True False

Q: 5. Show that the limit lim does not exist. 2-52-5 6. Show that the function f(2)= |z-2-3i² is not…

A: In the first question to  show that this limit donot exists approach z=5 through two different paths…

Q: Q3: a) Evaluate the following integrals: 1. f sin2x 1+ cos²x dx. √9-x2 2. fv-x² dx 3.f 1+x dx

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Q: y = (C₁ + C₂x) eª + sinx+x²; y" - 2y' + y = −2 cos x + x² − 4x + 2

A: Here we find the first and second derivatives of given solution and then put in the left hand side…

Q: Events A, B, and C are mutually exclusive; so are events D and E. Compute the probability P (A | E)…

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Q: QUESTION 5 A solid G bounded by parabolic cylinders y = x², x = y² and planes z = 1, z = 5. (i)…

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Q: 11. In line integrals, if x(t) has a derivative equal to 0, with y'(t) and z' (t) not equal to 0, A.…

A: To Select: The correct the option(s): 11. In line integrals, If x(t) has a derivative equal to 0 and…

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A: Given function f(x)=ax3+bx2+cx+d and the conditions relative maximum (2,9), relative minimum (4,3)…

Q: Use the Karush-Kuhn-Tucker method for the below optimisation problem and discuss any conclusions…

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Q: 4) 4 6 9 0 0 5 3 -3 2 -2 X2 01 X3 5- 0 = 44 66 124

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Q: 1. Solve the inverse matrix of the following using the 2 methods. [1 2 5 i. 0 -1 2 L2 4 11

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Question 7( Determine the most suitable form of M) that should be used when solving each 24…

A: To Determine: Most suitable form of y(t) for solving the equation: (a) y''+9y=sin(2t)+t2cos(3t)+3.…

Q: (a) Assume that f(x) is function defined by J - ² 4 f(x) = for 0≤x≤. (i)Expand the function f(x) in…

A: According to guidelines we can solve only one problem.

Q: Evaluate .f²fy dydx 175 3 175

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Q: A region bounded by f(y) = √√y + 1, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

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Q: Determine solutions for the equation 5 sin2x + 2sinx = 0 in the interval x [-2π, 2π] algebraically.…

A: Given equation is 5sin2x+2sinx=0. We have to find the solution of the given equation in the interval…

Q: Choose the correct sum of the following geometric series Σο(!)" Option 2 O Option 4 O Option 1 O…

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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Q: 15 Describe the graph below. complete graph bipartite graph complete bipartite graph

A: We use definition of Complete graph, bipartite graph and complete bipartite graph.

Q: College Units Frequency 0-24 4 25-49 3 Find the standard deviation for the grouped data. 50-74 6…

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Q: 9.6.11 The pink figure is a dilation image of the black figure. The labeled point is the center of…

A: The pink figure is smaller than the black figure. So the black figure has been reduced. So, a…

Q: valuate * 2, dydx 175 3 Option 1 Option 2 175

A: We have to solve given problems:

Q: 4. The height of a sunflower was recorded every seven days as it grew. Day 7 14 21 28 35 42 Height…

A: Here we find the exponential regression equation for the given data using normal equations. And then…

Q: let a=2+7i b=4-2i Choose the correct result of a*b* O 24+22i O 22+22i O22+241 O 22-24

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Q: 3. y² +4y-4 √√y dy

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Q: Problem 5.2. Assume that u(0) = u(1) = 0, and that u satisfies 1 [u'v u'v' dx = f fv dx, 0 0 for all…

A: As per the question we are given a functional space V defined as : v ∈ V = { v : ||v|| + ||v'|| <…

Q: Find the general solutions of the system. 30-4 4# -15 -1 x 10 7 x(t) =

A: We solve given system by eigenvalues and eigenvectors.

Q: 5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + .2√x,…

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Q: B)Convert r = √2 cos(0-) to cartesian.

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Q: ind the Laplace Transform for the following: †e2tsinh(t)

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Struggling with SOHCAHTOA. Can somebody help me? Please include an explanation. Thank you in…

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Q: Convert r = √2 cos(-) to cartesian.

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Q: 5. Solve the following simultaneous differential equations: dx dy (i) + 5x + y = et, x + 3y = e²t,…

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Q: A sequer its Seco than its

A: We want to find the given statement is true or false.

Q: Find the exact value of the expression. a. tan(sin^−1(2/3) − cos^−1(1/3)) b. sin(cos^−1(3/4) −…

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i-3j-k, find vector normal to A and In plane of A and, B.

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Q: 3. Test the convergence of the series an = O Converge O Diverge O Fail test Σ=1 n*+2n²+1 n6 +3

A: 1. Given series is an = ∑n=1∞n4+2n2+1n6+3 Let bn = 1n2 Then limn→∞anbn = 1 Here bn converges ⇒ an…

Q: findings lim sa Un- = n inge a sequential -241²³+50² +1 чиз 4₁²³-1² 2 f

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Q: MAR P # Video Example) EXAMPLE 8 Find the volume of a pyramid whose base is a square with side L and…

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Q: In the assignment problem, the optimal solution is arrived when: a. Number of rows less than number…

A: An assignment problem will have an optimal solution when the number of lines is equal to the sum of…

Q: (b) Find the interval of convergence of the following series Σ (¹+-½)²³ ( (x - 1)" n=1

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Q: (a) Assume that f(x, y, z) and F (x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Use the first four non-zero terms of an appropriate Taylor series to approximate Se-x² dx.

A: Use the first four non-zero terms of an appropriate Taylor series to approximate

Q: Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: To find normal line and parallel plane we need to find normal vector to the surface / function .…

Q: Evaluate the following integral to calculate the mass Mass-(x+2y) A where R is the region shown in…

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Q: Prove the following assertions using a direct proof. d. If x is odd integer, and y is even integer,…

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Q: Ranks can be assigned in order O descending Onone of these O ascending O ascending and descending L

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

Q: If y, and y₂ are linearly independent solutions of ty" + 3y' + tety = 0 and if W(y₁, y₂)(1) = 6,…

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Q: dx dt 4x + y dy x + 2y dt a) Find the general solution for x(t) and y(t) b) Solve the initial value…

A: Follow the steps.

Q: Using Euler’s Theorem, find the last two digits of 4444^3333

A: Let us find the last two digit of the given expression by using Euler's Theorem in the next steps.

Q: Q2A)Matrix A = [13 4 21 ,find Eigen values of A². dy (²+y) B)Solve differential equation dx x+siny

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