Q2):- Find Y[Z] of signal Y[n] (Cos wn). U[n]

Q: We can prove that if D is a region bounded by a simple closed path C in the xy-plane, then the…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 34…

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Q: of a rectangle.

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Q: Find T(t) and N(t) at the given point. r(t) = 7 cos(t)i + 7 sin(t)j; t = 3 T() = N() =

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Q: 1- Find the area under one arch of y = cos3 x

A: To find the area under the arch we will integrate the given function under the limits of the given…

Q: 12. Prove that the intersection of any family of normal subgroups of a group (G, *) is again normal…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

A: Explanation of the answer is as follows

Q: r = 12 sin 18ti + 12 cos 18tj

A: Given :

Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 T (7) 2 ㅠ N(₁) = [

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Evaluating a Definite Integral In Exercises 67-74 evaluate the definite integral. Use a graphing…

A: We want to evaluate the integral.

Q: Find the indefinite integral. (Use c for the constant of integration.) [ (41³ + 146) (4t³i + 14tj -…

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Q: Find the radius of convergence of the power series. (If you need to use ∞o or -∞o, enter INFINITY or…

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Q: 14. 2x²y-x³y' = y³

A: 2x2y-x3y' =y3

Q: (b) r(π/4)= (c) r(0 - π) =

A: We have to find the value

Q: Homework 11 Parametric: Problem 2 Eliminate the parameter t to find a Cartesian equation for: and…

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Q: Finding the Area of a Region In Exercises 5-14, sketch the region bounded by the graphs of the…

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Q: For the situation considered in the previous problem, what is the value of a six- month European put…

A: We have to find the six month European put option.

Q: Given functions g(x)=√x+14 and f(x)=z-6, state the domains of the following functions using interval…

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Q: What are the cylindrical coordinates of the point whose spherical coordinates are (3, 5, 1)? r = 0 =…

A: Given: spherical coordinates ρ,θ,φ, here ρ=3,θ=5φ=π6 To find : cylindrical coordinates r, θ, z

Q: [2,

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Q: Find DO NOT SIMPLIFY YOUR ANSWERS. 1. log √2x² + y + 2x² + y) + tan(x™ — ñ³) = sin¯^¹²(x² − 1) + ½ /

A: To dydx.log32x23+y+tanxπ-πy=sin-1x2-1+π2

Q: Find all solutions of the equation in the interval [0, 27). 2cos’x– cosx−1=0 Write your answer in…

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Q: Determine whether the series is convergent or divergent. If the series is convergent determine the…

A: Given problem:-

Q: = ||r' (t) × r"(t)|| ||r(t)||³ to find (t). r(t) = 8 cos(7t)i + 8 sin(7t)j + 3tk Use the formula…

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t) ||³ = r(t) = e³ti + e-tj to find k(t).

A: By using the formula kt=r't×r''tr't3 to find kt.rt=e3t i+e-t j

Q: For F(x, y, z) = y²z³ i + 2xyz³ j + 3xy²z² k, determine whether or not the vector If it is…

A: Let's find.

Q: More on Areas. Farmer Jones, and his wife, Dr. Jones, both mathematicians, decide to build a fence…

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Q: yk T cross-section 30 beview The base of a certain solid is the area bounded above by the graph of y…

A: We have to find the volume.

Q: Find the limit. lim (t i 7 j + t² k) t→5 lim (t i − 7 j + t² k) = i Exact number, no tolerance. i+ i…

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Q: Evaluating a Definite Integral In Exercises 37-42, use the Fundamental Theorem of Calculus to…

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Q: Consider the series (3x)" n n=1 Find the interval of convergence of this power series by first using…

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Q: 27 SECOND DERIVATIVES Find TUTORIAL 22 if y-In (x + 1). Answer 2-2x² 22-2

A: Note:-As per your mentioned request i am solving question 1 from the given figure.

Q: Find . DO NOT SIMPLIFY YOUR ANSWERS. 1. log₂ √√2x² 2x² + y) + tan(x² − π²) = sin¯`¹²(x² − 1) + ½ /

A: To find dydx.log32x23+y+tanxπ-πy=sin-1x2-1+π2

Q: . DO NOT SIMPLIFY YOUR ANSWERS. - 1. log₂ 19²( √/2x² + y) + tan(x² − x²) = sin^¹(x² − 1) + ² Find d

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Q: the vector-valued function.

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Q: IF F. dr. F(x, y) = 9xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2 Evaluate

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Q: 10. SHOW ALL WORK Verify the following identity:1 (1 - csc²0) (1 + tan²0 ) = tan² an evels to sty…

A: Given;  (1-csc2(theta)) (1+tan2(theta)) =tan2(theta).

Q: Match the vector field with its graph. F(x, y) = yi 址 四 場 x Q 6 電

A: F(x,y)=yi So at any point vector magnitude is same as y-cooridnate Also, if y is negative [below the…

Q: Let f(x)=x2+2x-1 and g(x)=2x-4. Find 3f(x)-2g(x)

A: Given fx=x2+2x-1 & gx=2x-4 To find 3f(x)-2g(x):

Q: Find the radius of convergence of the power series. (If you need to use ∞o or -∞o, enter INFINITY or…

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Q: Consider the following vector field. F(x, y, z) = 2ex sin(y), 6ey sin(z), 5ez sin(x) (a) Find the…

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Q: (D² - 3D + 2)y = 2e-* +8

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Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: x² 5x w Given that f(x) 3 a) find f'(x) b) find the equation of the tangent line x = 1. 1 12. Given…

A: Let's find.

Q: Write the given (total) area as an integral. • The area above the x − axis and below y = 4 − x²

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Q: Use Green's Theorem to evaluate the line integral ſ (y + e√x) dx + (2x + cos y²) dy, where the given…

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