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Q: solve this non-homogenous differential equation- y" + 2y' + y = x sinx e^x hint: y=e^mx be the trial...

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Q: 3. f (t) e2t cos 5t – 3t3 -

A: Note:- 1.   Ltn  =n!sn+1 2.  Lec t cosdt  = s-cs-c2 +d2   Given function is ft = e2t cos5t -3t3

Q: Solve osdinary DIPPedential Eguation + qy 6 Cos(3t) Y(0) = 0 %3D Y'(0) = 0

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Q: 4-a2-y? 1 x2 + y? + z2 dzdrdy 0,

A: The given problem is to evaluate the given triple integral with given limits. We can convert the Car...

Q: Tồn 21 (1 point) Using the following information, determine the EPC per pound - Item АРС Yield ЕРС p...

A: Solution:-

Q: anc

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Q: Let Sn=Vn. Find an and show that an O but that Sn=ER=1@k diverges. ->

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Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = A – int A (ii...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Factor T623000 Compretely. Wrie,o0suwer in canonical form.

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Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

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Q: Matilda wishes to retire at age 67 with $1,300,000 in her retirement account when she turns 28 she d...

A: Introduction: Suppose, a person deposits an amount P at rate of r% compound interest compounded n ti...

Q: [0 0 01 010. B= 0 Lo o 1l [1 20 01 0 10 and lo o o 11 Consider the matrices A =0 0 0 [1 0 C =0 1 3. ...

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Q: 4 — V16 — 9г? In 4 1 1 dx х V16 — 9х? + c 3x

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Q: 5. Match the vocab word with the correct definition: Circumscribed Choices Divide into two equal par...

A: To write the definitions of circumscribed, congruent, inscribed,bisect.

Q: Which of the following theorems could be used to prove the two triangle are congruent? D E %3 C O Si...

A: Two shapes that are of the same size and the same shape are congruent Two triangles are said to Side...

Q: Question The graph of f-l is given below. Graph the tangent line to f- at the point P(3, –1) for f(x...

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Q: Determine if this graph is - Planer - Connected - Simple

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Q: Let f (x, y) = ln sqrt{ x^2 + y^2} a. Find the directional derivative of f at the point (3,4) in th...

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Q: A vertical right-circular cylindrical tank measures 24 ft high and 10 ft in diameter. It is full of ...

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Q: iIm(2) Is the function f(2) = |z² e r analytic at zo = 0 ? %3D

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Q: Solve e = 1 + V3i for all values of z

A: Given,              ez=1+3i 

Q: Given the information below, estimate the total distance travelled during these 6 seconds using a le...

A: Introduction: A definite integration of a single variable can be approximated using three different ...

Q: Problem 5. Let u be a unit vector in R3 and let P: R³ → R³ be defined by P(v) = v – (v • u)u. 1. Sho...

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Q: A survey of 600 households revealed that 300 had only a TV.   175 had only a computer, and 50 had ne...

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Q: 5. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 – x² a...

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Q: Solve either (a) or (b) only, but not both: 4. (a) Given that the nth partial sum of a series 2a, is...

A: Given- Given that the nth partial sum of series ∑n=1∞an is Sn = 6 - 4n2 + n To find-  Find the sum ...

Q: Solve for w where u = (1, 1, -1, 0) and v = (2, 3, 0, –1). %3D %3D 5w = u - 4v w =

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Q: Let A be the matrix A = The eigenvalues of A are A = 1 and A = 2, with -2 3 eigenvectors v = H and v...

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Q: 6. Find F' and dF[a; h] where: In ¤1 (a) F(x1,x2) and hence show that if v is tangent to the curve p...

A: (a.) Given: Fx1,x2=lnx1x2e2x1x22cosx1 To find: F' and dFa;h To show: If v is tangent to the curve pa...

Q: Exercise: 5 a) Find the outward flux of the vector field F(x, y, z) = x³i + y³j+(z³ + xz)k across th...

A: To find the outward flux of the vector field Fx,y,z=x3i+y3j+z3+xzk across the surface of the region ...

Q: Transform the following equations into a system of first order equations u" + 0.5u' + 2u = 0

A: Introduction: Every higher-order linear homogeneous or non-homogeneous differential equation can be ...

Q: (a) (b) 8llog(2-j3)]e

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Q: s+4 (d) s' + 2s + 5

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Q: 15. Find a polynomial P(x) of degree < 3 for which P(1) = y2 P'(1) = y2 P(0) = y1, P'(0) = y, with y...

A: cubic polynomial is of form y=ax³+bx²+cx+d 

Q: Part 3). Consider the right triangle shown below. Verify that y =h by using calculus principles to s...

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Q: Form a detailed argument that proves the following proposition. Make sure to correctly utilize and r...

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Q: Determine the Laplace transform: e2t sin (wt +=) 6.

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Q: (3) Evaluate the flux integral where S is the surface given by 22 =r + y², 0< z< 4, oriented upwards...

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Q: Find the laplace transform of 1. f(t)= cos(5t)cos(2t) - sin(5t)sin(2t) 2. f(t)= (e^(2t))sinh(4t)-(...

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Q: Does the series E(- 1)n+12+h converge absolutely, converge conditionally, or diverge? n= 1

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Q: In an experiment, a 5-kg mass is suspended from a spring. The displacement of the spring-mass equili...

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Q: The position of a hummingbird flying along a straight line is given by the function s(t) = –t + 91- ...

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Q: If () Z = tan || then 2z sin x 1+ z2

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Q: Change the Cartesian integral to an equivalent polar integral and then evaluate: 225-y2 (x² + y?) dx...

A: To find- Change the Cartesian integral to an equivalent polar integral and then evaluate: I = ∫015∫0...

Q: Sketch the graph of the function f(x) = 3x 4 + 4x 3 .

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Q: Let F(x, y) = -z|. Let C be the curve parametrized by (t, cos(t), sin(t)), where 0 <t<. y Evaluate: ...

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Q: Divisibility Prove that if alb and bla, then a = b or a = -6.

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Q: (a) Find the slope of the line connecting the point (2, 6) to the point (4, 12) Slope= help (numbers...

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you...

Q: (1 – 2² + y²) dx + (1+x² – y³) dy.

A: Here we combine C1 and C2 and then Apply Green's Theorem.

Q: Evaluate each expression using the values given in the table. -3 -2 -1 2 3 f(x) g(x) 8 7 6 4 3 2 -4 ...

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