Find the 6 roots of -i

Q: 49y = t ²e-7t as the independent varie and c₂ as C₂ as arbitrary con

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Q: Solve e PDE using Fourier series () Derive and solve the BVP (bi Solve the other DE and write down…

A: Here we need to use Fourier series to solve given problem.

Q: 2. A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion,…

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Q: Let 1 = [3 13 31 orthogonal matrix P so that PT AP is a diagonal matrix (r from distinct igor n A

A: In this question, the concept of Eigenvalues is applied. Eigenvalues Eigenvalues are a unique set of…

Q: Find the solution of the given initial value problem in explicit form. 70 sin(2x) dx + cos(7y) dy =…

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Q: (1,2,3) (0,0,0) 4x³y dx + (x²-25) dy-5yzª dz

A: find the value of function using integrate

Q: Find the volume of the wedge cut from the cylinder x 2 +y 2 =9x 2+y 2 =9 by the planes z=0and z=y…

A: Solution :

Q: 2. Consider the Transformati graph g in gr Identify all th Express g in c) How can you a) b)

A: q-2 consider the graphh of y=fx (a) identify all the transformation. original function y=fx step-1…

Q: Solve the given Bernoulli equation by using this substitution. 1 ty' + 4ty - y³ = 0,t > 0

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Q: 3. Find f'(x) and f"(z) if f(x) = ln x + 2 cos³x.

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Q: Let G = Z9 X Z12 X Z16- (a) Find all subgroups of G of order 144.

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Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A: Radius increase at constant rate of 3ft/s . Hence radius after t second is given by  r(t)= 3t. Area…

Q: Determine if the series conv theorem you are using and s 100 1 6. Σ xln1/2(x) 7.5 3*k! Σ κι (2k)!

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Q: DETERMINE THE VALUE OF F(5) FOR A GIVEN SET OF DATA BELOW USING THE STATED METHOD OF INTEPROLATION:…

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Q: 3. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

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Q: Perform the Inverse Laplace of: 2s+3 F(s)=- S²+4s+13 | in terms f(t) *

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Q: Find a closed form for the generating function of the sequence an n3" (n ≥ 0). Clearly show all…

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Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

A: Solution: Let r be the radius of a circular ripple then rate of change in radius with respect to…

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: Consider the two-dimensional surface (“lamina”) bounded by y = e^x , y = 0, and x = 1 and whose…

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Q: Sketch and set up the integrals for volume of the region bounded by y = x^2 + x - 2 and y = 3x + 13,…

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Q: ∞ 1. Use Comparison Test to determine the converges or diverges of the series Σ n=1 (n+1)√√n

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Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

A: First let xy be positive  Then either both x and y are positive or both are negative  If both are…

Q: Matching: Write the letter of the view in the box Figure #1 Figure #2 Figure #3 Figure #4 Figure #5

A: In this question, the top view, front value, and side view are to be determined.

Q: Find all the local extremas and saddle points: f(x, y) = y sin x

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Q: 3.) Determine the absolute and relative error that occurs when approximating the integral 32x² dx…

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Q: 11. A tank contains 100 gallons (gal) of water and 50 ounces (oz) of salt. Water containing a salt…

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Q: 1 £{sin?;nt} 2

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Q: (4) Let A be a nonempty subset of a bounded set B. Why does inf A and sup A exist? Show that (a) inf…

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Q: Find the orthogonal projection of onto the subspace W of R4 spanned by projw() = -197 1 -13 10 5 8-6…

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Q: L{12te-³t} 12 a. (s+3) 12 b. (s+3)² 1 C. (s+3)² 12 d. (s+3)³

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Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

A: Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

Q: Find the solution of the given initial value problem in explicit form. π ㅠ sin (2x) dx + cos(7y) dy…

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Q: 13. Pharmacokinetics. A simple model for the concentration C'(t) of a drug administered to a patient…

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Q: 1. Let A & 2, 3, 4, 5, 6, 7, 83 and 9 and R a relation over A. Draw a directed graph of R after…

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Q: Find

A: We find surface area of given region.

Q: f(t) = 0, -2, 0<t<5 5≤t<7 t≥7

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Q: 1. Evaluate y'+3y²+2y=e-t , y(0)=4, y'(0)=5

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Q: y" + 4y' + 5y = 50t, y(0) = 5, y'(0) = −5 a. e 2t (13 cost + 11 sin t) + 10t² - 8 b.e-2t (13 sint +…

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Q: Find the solution of the given initial value problem. 6 cos t Y - 7 Y y' - y(π) = 0, t> 0 t t-6 y(t)…

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Q: 28. Write 0.684 as a percentage. 29. Write 1.05 as a percentage. 30. Write 18 as a percentage.

A: To convert any number into percentage , multiply that number by 100 28.) 0.684 x 100 = 68.4% 29.)…

Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x):= 3x² around the point c = 1 and give…

A: Taylor Series :- Let f(x) be a real function then Taylor Series about a function x = a is fx ≈ f'(a)…

Q: 6) Consider the plane P: z+y-z = 0 in R³ that contains both the points P₁(1, 0, 1) and P₂(0, 1, 1).…

A: Given the plane P : x+y-z=0 and the points P11,0,1, P20,1,1

Q: An absolute value function in the form f (x) = ax + b + c is graphed in the xy-coordinate plane,…

A: In this question, the concept of the graph is applied. Graph The graph of a function is the…

Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

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Q: 1. (8 points) Let x, y ER" be given. ||||||y||= (a) If 1 and 2 y = 1, show that a = y. (b) If | ≤ 1…

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Q: 1. Round 12.083 to the nearest tenth. 2. Round 1.98 to the nearest tenth. 3. Round 0.8693 to the…

A: 19. 53 to decimal is 53.0   20. 0.125 to fraction  0.125=125110008=18 therefore 0.125 to fraction is…

Q: 9. dy/dt = y²(y² - 1), -∞ < Yo <∞

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Q: Q/ Provethet f is continuous if f(B) = f'(B) Suppose of continuous and Prove F(B) ≤ f(B) then for…

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Q: 1. Answer the following: (a) If you are given a differentiable function f, give at least one…

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